diff --git "a/data/dm_maths/full_data_1/10358_11255.jsonl" "b/data/dm_maths/full_data_1/10358_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10358_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tens digit of 593935239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 9*s**2 - 8. Let j(c) = -4*c**3 - 10*c**2 - c - 9. Let b(y) = -4*j(y) + 5*q(y). List the prime factors of b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -10, 5*k - 16 - 17 = -2*a. Suppose -2*x - 2*x - 5*y + 16 = 0, 0 = -3*x - a*y + 13. Is -5\/3 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 m, and 1 a when four letters picked without replacement from mtmmmmjtrttrmarttjm.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1090 divide 6827016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 1, x: 1, n: 1, o: 1, g: 2}. What is prob of sequence nc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*f**2 + 3*f - 211*f**2 + 9*f wrt f?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*q - 4 = 11, -4*b = q + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/7*((-456)\/60 + -2) and -113\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*b**5 - 27*b**5 + 61*b**5 + (-3*b**2 + 0*b**2 + 2*b**2)*(-5*b**2 - 2*b**3 + 5*b**2) + 2*b**4 + b**5 - 2*b**4.\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 2, o: 8, d: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 32 = 0. Let n be 3*1*g\/(-12). Differentiate 5*h**2 - 5 - 2*h**2 + 0*h**n + 2 with respect to h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1045 by -95.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8645)\/35*10\/(-130).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 395233594 at least as big as 395233594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/4 - y**3\/3 + 4*y**2. List the prime factors of v(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563299.\nAnswer: 11, 41, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 19*j**2 - 9*j - 36. Let t be p(-19). Let q = -7 + t. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671049293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/8 - 949*a**4 + 15187*a**3\/8 - 3797*a**2\/4 = 0.\nAnswer: -7594, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55.88 - -5135.12. Let g = -5190.86005 + u. Let d = g - 0.14. Round d to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-4 + sqrt(35)\/sqrt(5))**2 - (sqrt(84) - 2*sqrt(84)*-2)\/(-3*sqrt(12)*-2).\nAnswer: -53*sqrt(7)\/6 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 + 151*h - 27571 + 13827 - 151*h + 13744.\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01858 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64628917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 2*o + 1. Let i be y(-2). Let h be 14\/(-2 - (-12)\/5). Let f be ((-10)\/h)\/(1\/i). Solve f*s - 2*b = -3*b + 3, b = 4*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 39 - 57 = 0. Calculate the remainder when 15 is divided by (r\/10)\/((-24)\/60).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5617, 5753, 5891, 6031, 6173, 6317?\n\"Answer: t**2 + 133*t + 5483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*s + 34, k + 2*s + 5 - 9 = 0. Solve 11*l - 54 = -k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 5. Let w be r(4). Let a = w + 0. Suppose -5*g = -5*q + 85, -a + 13 = -3*g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**2 + 2*s - 11\/3*s**3 + 26. Let f(j) = 385*j. What is 5*f(d) + 88*p(d)?\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 102 = 37*o. Let w(n) = 14*n + 1. Let a(y) = -15*y - 1. Give o*w(z) - 2*a(z).\nAnswer: -12*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*t + 117*t. Solve 0 = -4*r + d + 4, -4*d - 3 = -3*r - t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13461766?\nAnswer: 2, 19, 354257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmdmd. What is prob of picking 1 m and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(2\/7))*n*n)**(-3\/23)*n\/(n\/n**(2\/15))*n**4*n)**(-16))**(3\/5) assuming n is positive.\nAnswer: n**(-189712\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 581 + 4?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*w = 110*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 9*x**2 + 9*x + 12. Let d be f(10). Let a be (1 - -7)\/(2 - 0). Let g(r) = 4*r**2 + 4*r - 2*r**3 - 3 + r**2 - a*r**2. What is g(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 6*o. Let p = -14 + 20. Let r be d(p). Suppose r*h = 4*h - 16. Let b(q) = -2*q - 1. Let u(w) = 2*w + 2. Determine h*b(x) + 3*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55.74 and -15.\nAnswer: -836.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7*z = -2*z + 4, -u + 4*z - 2 = 0. Let q(y) be the second derivative of y**4\/6 - 3*y**2\/2 - 11*y + 1. Let r be q(u). Solve r*a = 3*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 + w. Let v(d) be the third derivative of 19*d**5\/12 - 25189*d**2. Give q(v(z)).\nAnswer: 9025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -784245 (base 9) in base 8?\nAnswer: -1623726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14249706300 to the nearest one million.\nAnswer: -14250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Suppose l + 16 = -d*l. Let h be (16 + l)\/4 + 0. Let k(s) = -s**3 + 4*s**2 - 2*s - 3. Give k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 + 131. What are the prime factors of (22\/x)\/((-30)\/(-3000))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 89.88 * 11275\nAnswer: 1013397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 - 97440*u**2 - 78439924*u + 78537360 = 0.\nAnswer: -781, 1, 25140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378 - 5668\/15. Which is the second biggest value? (a) -5 (b) u (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, 2787 in ascending order.\nAnswer: -3, 3, 4, 2787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2277*b - 423. Give p(-2).\nAnswer: -4977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -976 - -1369. What are the prime factors of j?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 36. Suppose f*x = 2*r + 2*r + 86, 2*x - 35 = r. Let z(s) = s**2 + 2 + s + 12*s**3 - x*s**3 - 5 + 7*s**3. What is z(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404 = 14*s - 1194 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 - -2. What is the second biggest value in z, -0.5, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5771 + -378721.\nAnswer: -372950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 2*h**2 + 4. Let f(i) be the first derivative of -i**3\/3 - i - 1. Suppose -o + 57 = 56. Give o*r(z) + 4*f(z).\nAnswer: -2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 20*j = -1. Let p be j + -1 + 5 - -370. Let o = -1653 + p. What is o rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + (-3 + 3 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 + 120524035?\nAnswer: 120524221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2. Let h be ((-104)\/(-182))\/((-2)\/(-7)). Let k(q) = 16*q**2 - 35*q**h + q**2. Determine k(g(t)).\nAnswer: -162*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e28fd - -5?\nAnswer: -1e28f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*h + 5*i, -4*h - i = -2*h - 20. Suppose 42 = -u + 37. Let f = u + h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = 5*p. Let j be -10*p\/8*2. Let v(c) = 2*c**2 - 6*c + 12. What is the tens digit of v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19167300.\nAnswer: 2, 3, 5, 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -60. Suppose 17 = 4*h + i*z, h - 5 + 1 = -z. Solve -5 = 4*d + x, -h*d + x = -2 + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/((-3)\/(-36)). Suppose -4*r - 9 = c*j - r, -3*j + 2*r - 11 = 0. Let y be 3*1*(j - -4). Solve g - 1 = 0, -3*k - y*g = -k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 28*o - 24*o - 17 = 0, 3*k - 5*o + 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.98 + -3.02. Which is the smallest value? (a) 2\/5 (b) v (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64460.5 - 64458.920276. Let x = 1.58 - z. Round x to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**3 - g**3)*(0*g**2 + g**2 + g**2) + 2*g**5 + 0*g**2 + 0*g**2 + 4 - 2*g**5 - 4.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 354358584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 2, 7567 in increasing order.\nAnswer: -5, -3, 0, 2, 7567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274 + 174*p - 47*p - 45*p - 44*p - 41*p to v*p + w and give w.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6293 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333 + -336. Let r be (48\/(-54))\/(o\/((-81)\/(-6))). Solve r*l - 5*f - 35 = 0, 3*l - 2*f - f = 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + v - 3 = 2*m, 0 = -m + 5*v + 12. Put 0, 5, m in ascending order.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593817.\nAnswer: 3, 7, 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 96, 184, 272, 360?\n\"Answer: 88*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 130*u + 59. Determine i(-43).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 33*m**2 + 67. Let q(c) = -11*c**2 + c - 1. Let l(i) = 23*i**2 - 2*i + 2. Let w(p) = 2*l(p) + 4*q(p). Calculate f(w(z)).\nAnswer: 132*z**4 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 4*k - 8*k)*(-7 - 13*k + 15*k - 14).\nAnswer: -20*k**2 + 210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o + 8847. Let g be j(0). Let q = -1053 - g. What is q rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -632 + -3?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1900)\/893)\/((-249)\/11703)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Solve -r*v + 2 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 172 = -2*w - 2*a, -72 = -w + 3*a. Suppose 2581 - 187 = 19*q. Suppose 0 = -453*z + 447*z + q. Calculate the greatest common factor of w and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1233814 and 214002.\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -865*r**2 + 2*r. Let u(x) = -32868*x**2 + 77*x. What is 77*l(y) - 2*u(y)?\nAnswer: -869*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*r - 11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5431088.\nAnswer: 2, 13, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a. Suppose a*d = -3*d + 18. Let w = d + 7. Solve -7 = 5*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 7*h**2 + h**2 - h**2 + 4*h**2. Let y(a) = 26*a - 1. Give z(y(s)).\nAnswer: -3380*s**2 + 260*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.07 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11113*s**2 + 10435*s**2 - 21586*s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*t + 6 - 2, -3*a = -3*t - 3. Suppose -5*j + 17 - 12 = a. Let w(m) = -2*m**3 - 2*m**2 + 2*m - 1. Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.9 times -0.05?\nAnswer: 2.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-50))\/(((-2)\/(-27))\/((-20)\/30))\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-70)\/(-112)*4\/(-10). Which is greater: l or -3\/220?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 4*h**2 + h - 1. Let p be z(4). Suppose -a + 0*a = -p. Suppose -6 = -a*l + 2*o, -l + 2*o - 1 - 1 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000290813348 rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + g + g + (-5 + 3 + 0)*(0*g - 3*g + 5*g) + 6*g - 3*g - g + (4*g - 4*g + 2*g)*(4 - 3 + 1).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -5 + (-4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92130*z + 92134*z + 5 = -3*t, 0 = 6*z - 3*t - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 136, 126, 114, 100, 84, 66?\n\"Answer: -g**2 - 7*g + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f = -25*f - 57*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + d**2 - 268*d - 324. What is o(0)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -55*b**2 - 100*b + 155. Let m(w) = 5*w**2 + 9*w - 14. Let c(s) = 45*m(s) + 4*t(s). Factor c(d).\nAnswer: 5*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agad when four letters picked without replacement from ababgbjadj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14.33. Let j = d - -1.67. Which is smaller: j or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (7 - 10) + -15 + (0 - (-16 - -20)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4716 + 23583\/5. Which is the fourth biggest value? (a) 2\/161 (b) q (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7415*i**2 + 6 - 6 - 2106*i**2 + 4453*i**2.\nAnswer: -5068*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*0.65\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 12:43 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396)*-1 + -2 + -1)**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v + 6*v + 58*v)*(-3 + 1 + 3) to the form o*v + i and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + j + 32 = 0, 0 = 8*d - 4*d + j + 143. Let u = 37 + d. Solve u*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 23*y - 115. Determine m(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 15, 14, -14, 0, 1 in descending order.\nAnswer: 15, 14, 6, 5, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130639 = -18*z - 130513 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.4, -12130.\nAnswer: -12130, -0.1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247126?\nAnswer: 2, 11, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 69*b**2 + 2*b + 10. Let f(r) = r**2 - r - 1. Let p(w) = 2*f(w) + s(w). Differentiate p(k) with respect to k.\nAnswer: 142*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - (-250924)\/(-16))*16\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1473 by 2.\nAnswer: 1473\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281481 by -59.\nAnswer: 281481\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r + 217. Let n(v) = 43*v + 217. Calculate -2*n(h) + 3*w(h).\nAnswer: -2*h + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/4 + 6*t**3 - 6*t**2 - 13*t - 43. Let f be d(17). Calculate the greatest common factor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -341, -357, -407, -509, -681, -941?\n\"Answer: -3*c**3 + c**2 + 2*c - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 25*t**4\/42 + 10*t**3\/7 + 9*t**2\/7 - 52*t + 79. Let a(p) be the first derivative of v(p). Determine b so that a(b) = 0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9*-2)\/(14\/105).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -179235840 to the nearest one million.\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006485 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -50*y**3 - y - 2. Let m(v) = -v**3 - v**2 + v + 1. Let g(i) = -d(i) - 2*m(i). Is g(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3458 is divided by 1478?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -13\/9, -1.501?\nAnswer: -1.501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-40) - (-25)\/(-4))*(-88)\/(-20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 268\/(-100) + 2 + 1. Let r = x - 113\/275. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 78, -26, -172, -360, -590?\n\"Answer: -21*n**2 + n + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + 0. Let v = m + -119. Let c be 5*-2*v\/20. Which is bigger: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + r - 46 = n, -2*n = 4*r - 16. Let v(c) = -c**2 + 11*c + 16. Give v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**4 - i**4 - 16*i**4)*(-23 + 11 - 16).\nAnswer: 616*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2249 from -5702529.\nAnswer: -5704778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13760 + -6?\nAnswer: -13766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -51, -86, -137, -210, -311, -446?\n\"Answer: -k**3 + k**2 - 21*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-5))\/((2\/(-12))\/((-615)\/(-1107))). Which is the closest to -2? (a) r (b) -5\/6 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 137893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436235 divided by 905?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100000001001101 (base 2) to base 13\nAnswer: -7653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3813608, 3813649, 3813716, 3813809, 3813928?\n\"Answer: 13*l**2 + 2*l + 3813593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327 - 21*l**2 - 1327 - 4*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 554.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*108596.\nAnswer: 11945.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71764577 and 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:48 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 479 - 273. List the prime factors of r.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-6)\/(-5) + 7656\/(-330). Let j(k) = 23*k + 8*k**2 + k**3 + 55 + 20*k**2 - 8. What are the prime factors of j(o)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 10 = 2*z, 5*z - 3*h - 2*h - 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*i - 62*i**4 + 178*i**4 + 335*i**2 + 360*i - 121*i**4 - 90*i**3.\nAnswer: -5*i*(i - 4)*(i + 1)*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.55? (a) 0.1 (b) 1 (c) -13 (d) -30 (e) -1.9 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (16 - 8)) + (-16 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 2090 in descending order.\nAnswer: 2090, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2400016 = -4*v, -c = v + 356970 + 123026. Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 540010 = -2*m + 540170, 21*t - 630 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2084 + -2081. Solve -i + s = -2, 17 = -4*i - k*s + 39 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 3306.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 24. Let v(z) = -2*z - 12. Let n be v(-16). Suppose -2*b + 2*a + n = 2*b, 0 = b - a - 7. Solve 0 = 3*h - b - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052310.36 rounded to the nearest 10000?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*(10 - 704\/72). Let c(r) = -r**2 - 4*r + 10. Calculate c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 0.2, 2\/11.\nAnswer: 2\/11, 0.2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 11, f: 1, j: 6}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1965531 and 18582.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -33035*h**2 + 33045*h**2 - 4 + 4. Let o(c) = -2*c**2 - 4*c. Determine t(o(g)).\nAnswer: 40*g**4 + 160*g**3 + 160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -944152643 divided by 134878949?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-50) + (-34)\/(-10). Sort 44, 2, 0, z in ascending order.\nAnswer: 0, 2, z, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019791 divided by -479?\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -59. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k - 8 - 7 + 157*k**3 - 156*k**3 - 11*k**2. Let v be t(9). What is the greatest common factor of v and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1716*b**3 - 3085*b**2 - 7*b.\nAnswer: 10296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1. Let n(y) = -650*y + 7. Calculate 6*c(t) - n(t).\nAnswer: 650*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 42*l - 1. Let m(q) = q + 1. Determine -c(t) - 2*m(t).\nAnswer: -44*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13799 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/9 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 - -53. Which is the closest to s? (a) -1 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 3. Suppose 9 = 4*r - 11. Let g(q) = -8*q - 3. Give r*g(n) + 6*o(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + r + 60 = 0, -2*r + 5*r - 15 = 0. Suppose 4*s = -20, 1 + h = 2*g - 2*s. Let l(w) = -3*w**2 + 4*w**g + 0*w**2. Let q(n) = -2*n. Determine q(l(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/14980)\/(((-3)\/3)\/15)*(-2)\/(-6)?\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -411*g. Let s(n) = 103 + 93 - 7*n + 85 - 281. What is s(w(y))?\nAnswer: 2877*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -62500*k**4 + 1633842500*k**3 - 784234800*k**2 + 125477056*k - 6692096 = 0.\nAnswer: 4\/25, 26141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from ffyyqydqddfddyfddy?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**2*(s\/(s\/(s\/s**(1\/13))))\/s**(-4))\/(((s*s*s\/(s**(-4\/9)*s))\/(s**(-2)*s))\/((((s**(-7)\/s)\/s)\/s*s)\/(s\/((s\/(s\/s**(-1)))\/s)))) assuming s is positive.\nAnswer: s**(-880\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 55146, 1, -1 in decreasing order.\nAnswer: 55146, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 + 31*k**2 - 35*k**3 + 10 + 20 + 3*k.\nAnswer: -35*k**3 + 50*k**2 + 3*k + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**28*s))\/(s\/s**(1\/4)) assuming s is positive.\nAnswer: s**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 - 4 - (3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*(-1*sqrt(204)*1 - sqrt(204) - sqrt(204)))\/(sqrt(24)\/sqrt(32)))**2.\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbfbfbfbfffbbbfbbf. Give prob of sequence fb.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1060831, 1\/2, 0 in decreasing order.\nAnswer: 1060831, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.94 + 0.06. Let o = 11 - 7. Let d = 5 - o. What is the closest to -1 in -0.2, d, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 246 - 156. Calculate the remainder when j is divided by 1647\/54 - 2\/4*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u**3 + 295 - 34*u**3 - 940 + 327 + 318.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a**2 + a**3 + 3*a**2 + 3*a + 2 + 5*a + 1. Let v be (68\/12 - -1) + (-64)\/(-48). Let w be q(v). Solve -l = -w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1030862 in 3\/5, -1, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110002 - -1003?\nAnswer: 3111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o*(o**(-1\/2)\/o*o)\/o)\/o)**(-46)\/(o**(-12)*o*((o*o*o**24)\/o)\/o*o))**(-1\/2) assuming o is positive.\nAnswer: o**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 3*c. Suppose 0 = -4*q, z + 4*q + 3 = 2*z. What are the prime factors of l(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.038 in -0.2, 1, -3, 21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 7 - 15 - -10) + -1 - -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(-3)\/(((x\/((x\/(x**(3\/4)\/x*x))\/x))\/x)\/x*x**(-4\/7)) assuming x is positive.\nAnswer: x**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 444850 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + n = -6, -16*n + 20*n + 9 = u. Let m = -42\/5 - -467\/55. Let k = 2.5 + -2. Which is the nearest to u? (a) k (b) m (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 11 in descending order.\nAnswer: 11, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - a**3 + 2*a**2)*(9*a + 2*a**2 - 7*a - a**2 + 16).\nAnswer: -a**5 - 2*a**4 - 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*n**2 + (6*n + 114 - 114)*(-4*n + 2 - 2) to u*n + h*n**2 + b and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -660 + 1124. Suppose -f = 3*r - 1718, r = -4*f + 116 + q. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-5)\/10*(4 + 2). Suppose -3*w = -p*d - d - 2, -3*d = -w - 2. Is w + (4203\/6 - (-5)\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (9 - (-7 + 18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 19*i - 1. Give b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -10.4. Let p = 0.4 + t. Suppose -13*x = -8*x + 15. What is the nearest to 4 in p, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.065 + 34.065. Let k = z - 34. Put k, 9\/5, -2\/9 in increasing order.\nAnswer: -2\/9, k, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -451 - -456. Factor k*z**5 + 26 + 3*z - 51 + 35*z**4 + 50*z**3 - 10*z**2 - 46*z - 12*z.\nAnswer: 5*(z - 1)*(z + 1)**3*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**9\/56 + o**5\/6 + 18*o**2. Find the third derivative of v(t) wrt t.\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 560 - 508. Suppose -c*i = -15*i. Solve i = -5*q - 15 - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210102 + -202221?\nAnswer: -101120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*z + 945*z = 43*z - 383*z - 54048 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16365553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 548531 - 548473.0138. Let v = 4.1 + 53.9. Let m = d - v. Round m to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 12.91. Let v = 5.09 - m. Let h = -0.012 + 4.012. Which is the smallest value? (a) -3 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 863257 and -0.4.\nAnswer: 863256.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 505 + -659. Find the common denominator of (3\/(-4))\/(m\/792) and 27\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n - 162. Let y be q(9). Let a(x) = -6*x + 58. Let g be a(y). Solve -3*b = g + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 7. Let k = 4 - f. Let q = k - -1. Sort -0.2, 2\/17, q in increasing order.\nAnswer: q, -0.2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (11 + (-19 - -15) + -8) - (0 - 73)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from urrrrrrur.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11806965 + -8356965. What is f rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.5310522.\nAnswer: -0.4689478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)\/(0 + -1). Let j(o) = o**2 - 5*o - 1. Let x be j(5). Let t be (-1)\/(x - 6\/(-8)). Solve z = -0*v + t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {y: 2, m: 1, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809655 is divided by 298.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 15*o**2 + 244*o - 3352. What is z(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -153, -407, -837, -1485?\n\"Answer: -7*a**3 - 25*a**2 + 4*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04443 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38066882 divided by 36638?\nAnswer: -1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from lvvvllvvvvvlvl?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a9a16 (base 12) to base 7.\nAnswer: -24553542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:52 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 451620 divided by -130\nAnswer: -3474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50\/3 + -36. What is the common denominator of x and 16\/23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - 1 - (-9 + 29 + 12)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458 divided by -1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -523, -1807, -4663, -9877, -18235?\n\"Answer: -131*j**3 - 367*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337064 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -56745644354006.\nAnswer: -56745644354002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*b - b - 2*b)*(-1 + 2 - 2)*(3 + 1 - 3 + (-2 + 1 - 3)*(-1 + 0 + 2)) as w*b + z and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 + 3*q**2 - 15*q + 29. Let g = -12316 + 12318. Give j(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 4*h + 11*h + 14. Let c be y(12). Let l(z) = -3*z - 1. Calculate l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1088*u**3 + u**5 - 1088*u**3 - 25*u + 2*u**5 wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3617 (base 8) in base 12?\nAnswer: -1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 - 24*w**2 - 15*w**2.\nAnswer: -65*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13723.9 weeks to days.\nAnswer: 96067.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33576970.\nAnswer: 2, 5, 7, 103, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 19 = -3*z, 2*z = i + 9 - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(((-2*sqrt(204) + sqrt(204) + sqrt(204))*-1)\/(-3*sqrt(48))*1 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044097 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: Solve 0 = v + 5*w - 5, 0 = v - 5*w - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -43*r**3 + 7*r**2 - 3. Let n(j) = 14*j**3 - 2*j**2 + 1. Suppose 7*a - 2*a = -10. Let b(l) = a*g(l) - 7*n(l). Differentiate b(u) with respect to u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weoedkkododdkodo. Give prob of picking 1 o and 2 k.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cced37 + -4?\nAnswer: cced33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 82. Let f = 26.999949 - y. Round f to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssww when four letters picked without replacement from {w: 3, s: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(2*(77\/(-252))\/(-11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033368223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 10) in base 14?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 7*k**4\/12 - 32*k. Let d(u) = -u. Determine d(i(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 4\/(-10)*(-1 - -6). Suppose 0 = p + 5, 5*y + 7*p - 440 = d*p. What is the highest common divisor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1261, 1254, 1245, 1234, 1221, 1206, 1189?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, 4*x = s - 36 + 12. Suppose 31 = 5*u - s. Suppose u + 4 = -p - f, -29 = 3*p - f. Find the common denominator of -19\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9618 divide 1997375194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 16*m + 16. Let i be y(6). What are the prime factors of 4\/i + (-92)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 - -152.76. What is h rounded to 1 decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/17 + -35\/34. What is the third smallest value in 1, -2\/5, -18, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/12)\/((-4)\/16). Suppose 2*s - 3*z = -7, f*s + z + 12 = 29. Let j(p) = 3*p - 6. Calculate j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 7:27 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h + 3. Let n(u) = -8*u**2 - 6*u + 12. Let b(j) = 23*j**2 + 17*j - 34. Let v(z) = 6*b(z) + 17*n(z). What is i(v(r))?\nAnswer: -50*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2 + 0 + 2 + s. Let c = 3 + -1. Calculate the remainder when y(5) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-8))\/((-1)\/2). Let u be 3\/(f - -2) - -1. What is the greatest common factor of u and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q - 4. Let t be w(4). Is (t\/6 - 1)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 161, 463, 909, 1499, 2233, 3111?\n\"Answer: 72*b**2 + 86*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.71707kg to milligrams.\nAnswer: 57717070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23496202 and 101246.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/(-9)*183\/(-14). Let c = n + 255\/2. Calculate the common denominator of c and 14\/8*(-11)\/2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 8*d - 8. Let w be 0\/(-10)*(-2)\/d. Let g = 969\/5 + -193. Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1944 and 65\/486.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 + (7 - (3 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/(a*a*a\/(a**11\/a)))\/(a**(-1\/2)*a)**(3\/10) assuming a is positive.\nAnswer: a**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(418\/19 + -31). Let y = -17 - -26. What is the second smallest value in i, y, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.14 - 13. Round v to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = a. Let t(m) = -m**3 - m**a - 27 + 2*m**3 + 82 + m. Is t(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 1\/(-4). Suppose -h - 4*h + 10 = o. Let j = 1 + h. Let u(m) = 2*m**2 - 5*m + 4. Determine u(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105888 divided by 35296\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*k + 14911 = -6322 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/189043 and -53\/7.\nAnswer: 1323301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -125 (b) 2\/551 (c) -40\/17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**6*k))\/k*k)\/k*k**(-3\/2)\/k*k*(k**(-1)*k)**(-8\/5)*(k**6\/k)\/(k\/(k*k*k*(k**(2\/7)*k)\/k))*(k**(-2\/7)*k)\/k**(-1\/4) assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2270 + -9.\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*0\/(-2*1). Let w = -11 + 9. Sort w, l, -4 in descending order.\nAnswer: l, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = -46 + 116 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34658, 34528, 34406, 34292, 34186, 34088, 33998?\nAnswer: 33916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17464765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 136?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 103*l**2 - 3827*l - 20822. Give i(-131).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2353173 and 61\/9?\nAnswer: 7059519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 118 = -2*p. Which is greater: p or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/9*(-54)\/(-252)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 35 = -4*j, 4*t - 3 = j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5 + 1. Suppose u*b = -2*b + 80. Let s = 4156 + -4144. What is the highest common divisor of b and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -20502?\nAnswer: -20502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 23*v + 63 = 0. Let b(o) = 2*o**3 + 7*o**2 + 3*o + 15. Let k(g) = -g**3 - 3*g**2 - g - 7. What is v*k(a) + 3*b(a)?\nAnswer: -a**3 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 5*p**2 + 4 + p + 3*p - 4*p**2. Find the common denominator of 79\/8 and g(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 8*w**2 - 5*w - 10. Let t(q) = -q**3 - 8*q**2 + 9*q + 7. Let i be t(-9). Let k be c(i). Solve 1 = k*v + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527240 by -15064.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -4, 2, -230, 52.\nAnswer: -230, -6, -4, -3, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 4*u**2 - 3*u. Determine m(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -167*u**4\/4 + 31*u - 163. Find the first derivative of a(t) wrt t.\nAnswer: -501*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 21 = -y, -5*r = y + 33 - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6 = -3*x. Suppose 0 = 11*d - 8*d - 30. Suppose o - 5*j - d = 15, -x*j = -5*o + 33. Solve 0 = z + o*c + 8, -3*z = c + c - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 25*u - 46. Give t(-15).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:31 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(1700)*2 + -1)*2 - (-1 + sqrt(1700) + -1 - (2*sqrt(1700)*-3)**2)).\nAnswer: -50*sqrt(17) + 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q - 33. Let p be v(-7). Sort 0.048, p, -3 in descending order.\nAnswer: p, 0.048, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25659 + -13911. Let t(n) = g + 4*n - 11748. Let c(d) = -16*d. Calculate t(c(r)).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.2816 - 42.1. Round b to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/3 - 98*g**4\/3 - 34*g**3 + 98*g**2\/3 + 100*g\/3 = 0. Calculate g.\nAnswer: -1, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/74, -2, 1\/7, 1, -8749?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 18*i + 95*i + 28*i + 0*i - 7 as b*i + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 14. Let z be f(9). Let t(l) be the second derivative of l**5\/20 - l**4\/3 - l**3 + 3*l**2 - 7*l. Give t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1. Let i(w) = 8*w**3 - 17*w - 5. Calculate -2*i(u) - 10*q(u).\nAnswer: -16*u**3 + 34*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 2*o**7\/105 + o**6\/60 + 11*o**3 + 2*o**2 - 46*o. Differentiate n(c) with respect to c.\nAnswer: 16*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771184 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/32)\/(4 - (184\/(-69))\/(-8)*9)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -2. Let v be u*1 - (3 + -17). Let s(j) = j**2 - j + 52. Let p be s(0). Calculate the highest common divisor of v and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 0, -u = 4*y - 85 - 38. Sort -0.1, -1, y, -2\/7 in decreasing order.\nAnswer: y, -0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, s: 1}. Give prob of sequence fsf.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(6270\/(-22))*-3)\/(5\/4)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 95*j**2 - 47*j + 6. What is u(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 21*f = 0. Let b(w) be the first derivative of 1 + 0*w + 1\/25*w**5 + 0*w**2 - 1\/15*w**3 + f*w**4. Factor b(g).\nAnswer: g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 2}. Give prob of sequence ka.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1011010001000010 (base 2) to base 15\nAnswer: -da16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from xxqjbjxqjfdjjdjxjdfj.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/102091 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -64, 3.\nAnswer: -64, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -3*m**6\/140 - m**5\/14 + 8*m**4\/21 - 4*m**3\/7 + 2*m**2. Factor t(j).\nAnswer: -2*(j + 3)*(3*j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/60 - g**4\/18 + 16*g. Factor r(i).\nAnswer: -i**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*f - 26531 - 35457, 0 = -3*i + 9. Round f to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6847294.39 - -6847370.8899589. Let f = 79.66 + -3.16. Let y = v - f. What is y rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 6*y + 1. Let q be b(-6). Let x = 1 + 0. Let w = x - q. Solve 0 = 3*a - i + 12, -2*i - 6 = 4*a - w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6400 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 6)*(48*a - 49*a - 29 - 7).\nAnswer: -2*a - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223337191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16691 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276.265821 + 275.881. Let z = 538.615 + -539. Let p = z - q. What is p rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*u - 5 - 1 = 0, 5*i - 5*u = 15. Suppose -5*d + 17 = 2. Calculate the smallest common multiple of i and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) 5\/3 (c) -0.2 (d) 94\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2047214 divided by 1023607.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 15. Let r be n(12). Suppose 110 = r*m - m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159.5 - 160. What is the closest to r in 4, -4\/9, 1\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/5)*b**(-8)*(b\/((b*b\/(((b*b\/(b**1*b))\/b)\/b))\/b*b))**(-31) assuming b is positive.\nAnswer: b**(424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -1495417, 0.06?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -68. Let t(p) = -p**3 - 3*p**2 - 5. Give t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 9 - 3)*(1805 - 1805 + 270*c)*(0*c + 2*c - 4*c) as p*c**2 + s + z*c and give p.\nAnswer: -11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1590*a + 1. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63446 (base 8) to base 2.\nAnswer: -110011100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529\/164 - 122\/41. Let t = -3.2 - 1.8. Sort 0.4, t, l, -2 in decreasing order.\nAnswer: 0.4, l, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 76a1 - 11?\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -9*g**5\/2 - 381*g**4\/4 - 2487*g**3\/4 - 4653*g**2\/4 + 81*g\/4 + 729\/2 = 0.\nAnswer: -9, -3, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*v**3 - 399*v**3 + 1 - 3*v**2 + 0*v**2 + 3*v**2.\nAnswer: -34*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -2.01. Let i = 3 - 6. Which is the third smallest value? (a) i (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 661851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24556, -4, 7 in decreasing order.\nAnswer: 7, -2, -4, -24556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196995 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6cd64 (base 16) to base 3.\nAnswer: -211122111222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + i + 2.\nAnswer: -(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.44 - 0.44. Let j = h + -18.09. Let w = 5.09 + j. Which is the third biggest value? (a) w (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let d(k) = 3*k + 1. Let f(s) = 6*c(s) + d(s). Let r(g) = 2*g + 6. Determine 4*f(m) - 5*r(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78 + 6*(-4)\/8. Suppose -8*j - a = -5*j. Let z = j + 99\/4. Do -1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s**2 - 4*s - 4. Let v be b(-1). Let i = 11 - -4. Let t = i + v. What is the closest to -1 in t, 2\/11, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j. Let b = 2 + j. What are the prime factors of (0 - 4)\/(b\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 19\/(-6))*-2. Let t = 3 - 4. Let y = 0.9 + t. Which is the nearest to 0.1? (a) y (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/19 and -7.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.605 times -0.5?\nAnswer: -1.3025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4194 and 207.\nAnswer: 96462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 351555.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:36 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**3 + 15*u**2 + 3*u - 675009?\nAnswer: 9*u**2 + 30*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 73067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 + 30 - 30.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.51. What is the closest to 0 in 3\/4, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1485 - 693. Suppose -5*q = -8*q, -3*h + 3*q + g = 0. Does 42 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102087 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 - 2*f**2 + 4*f**2 + (-14 - f + 34 - 16)*(12*f + 24*f - 6*f).\nAnswer: -31*f**2 + 120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -1\/3*x**3 + 0 + 3*x - 1\/2*x**2. Differentiate f(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6)\/(r**(-6\/13)\/r))\/(r\/r**(-1\/5))**(1\/37))**(-21\/5))**12 assuming r is positive.\nAnswer: r**(2770236\/12025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (0 + sqrt(176) + -4 + sqrt(176)) - 2*sqrt(176)*-3)**2.\nAnswer: 160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2621*i*k + 2851*i wrt k?\nAnswer: -2621*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 279 + -280. Let q be (-16)\/6*(-1)\/4. Let c = -59\/6 - -49\/6. Put c, q, d in increasing order.\nAnswer: c, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 10 + 8. Let h = d + 14. Let x = 0.6 - 1. Which is the biggest value? (a) h (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893491204?\nAnswer: 2, 281, 794921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/47)\/k)\/(k*(k\/(k**(-18)\/k))\/k*k)*k**(9\/7)*k**4*k assuming k is positive.\nAnswer: k**(-5163\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33755260 divided by -46.\nAnswer: -733810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111022 + -11012002?\nAnswer: -10200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6937 - 3446 + 3*o**2 + 452*o**3 - 3374 wrt o.\nAnswer: 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16910)\/40940)\/(19\/(-12)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1405*c**2 - 7*c**4 + 1841*c**3 + 6*c**4 - 889*c**2 + 606*c**2 + 1172*c**2 wrt c?\nAnswer: -24*c + 11046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220210202 + -100?\nAnswer: -10220211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:39 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-16) + 2\/(-8). Let w be 530\/11130 - 3\/9. What is the third smallest value in w, 0, -61, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {i: 1, j: 1, v: 5, s: 5, a: 4, f: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 1\/36*n**4 + 0 + 2*n**2 - 1\/18*n**3 + 0*n - 1\/180*n**5. Factor i(w).\nAnswer: -(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51 (b) 15 (c) 2 (d) -6\/83 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xinp when four letters picked without replacement from {n: 1, p: 2, g: 1, i: 2, x: 1, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*d + 3*k - 15, 5*d - 4*k - 55 = 0. Suppose 3*p = 5 + d. Solve -4*n + 5*n + 4*o + 2 = 0, -p*n = -3*o + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4410 and 11130?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/5, -0.1383, -14, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c*c**(-10)*(c**(1\/5))**(5\/13))**(-4))**33 assuming c is positive.\nAnswer: c**(11880\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3389*h - 450 = 3344*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -99b?\nAnswer: 9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1522872 is divided by 375.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.3, 4, -2\/3, -5\/2 in increasing order.\nAnswer: -10.3, -5\/2, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1169 = a - 3*a - 3*m, a - 4*m - 579 = 0. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187? (a) 1456 (b) 0.07 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21724139 from -0.045.\nAnswer: -21724139.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c*g**4 + c*g**2 + 32*c*g + 17*g**6 wrt g?\nAnswer: 336*c*g + 2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/13199 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -11. Let f be (-20)\/16 - 21\/(-4). List the prime factors of f\/8*w - -12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85.38 and -18.\nAnswer: 1536.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1815\/(-1452))\/((-6)\/(-8)). Sort z, 3\/5, 22 in increasing order.\nAnswer: z, 3\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + 5 - 31) + -97 + -3 + 5\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 146*m - 115. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1272568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j - 1. Let q be (4\/1 - 2) + -1. Let p be q*5\/((-25)\/(-55)). Suppose -5*k - 1 = -5*b - 2*k, -2*b = -5*k + p. Give g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -155, -124, -79, -14, 77, 200, 361, 566?\n\"Answer: z**3 + z**2 + 21*z - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Suppose 4*m + 24 = -0*m. Let f = m + 13. Let a(g) = 7 - f + 2*g. Determine a(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690289 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/l**(-1\/8)*l**(13\/3)*((l*l*l\/((l\/(l*l**(-17)))\/l))\/l)\/(l\/l**(-1\/4)))**(1\/19) assuming l is positive.\nAnswer: l**(-187\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t + 6*t**2 - 10 - t**3 - 6*t**2 + 6*t**2. Does 6 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 77*w**6\/6 + w**3\/3 - 135*w**2\/2 - 142. What is the third derivative of x(p) wrt p?\nAnswer: 4620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (-6*(sqrt(55) + sqrt(220)\/sqrt(4)) + sqrt(55)))*-6)\/((5*sqrt(20)*2)\/sqrt(4)).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 4 - 241*-1*1. Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10*s - 568. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 130*g**3 + 10775*g**2 + 49455*g - 5850 = 0.\nAnswer: -78, -5, 3\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(68)\/sqrt(64).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/15))**(-2\/27))**(-3) assuming n is positive.\nAnswer: n**(4\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402512 and 125785?\nAnswer: 2012560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -1.5. Which is the smallest value? (a) j (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*-5*8. Calculate the least common multiple of 4 and k*2*(-2)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18078575 or 18078579?\nAnswer: 18078579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:26 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 23*d**2 - 39*d**2 + 4*d to the form z*d**2 + m + r*d and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1632390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -t + 14, -3*t - u = -6 - 4. Suppose s = t*g - 0*s - 13, g + 2*s = -1. Factor -3\/4*l**3 + 0*l + 1\/4*l**2 + 3\/4*l**4 - 1\/4*l**g + 0.\nAnswer: -l**2*(l - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttttjttt. What is prob of picking 4 t?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/7335 and -187\/757950?\nAnswer: 2273850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q**3 + 0*q)*(-3*q**2 - 4*q + 2*q**2 + 6*q) + q**5 + 0*q + 0*q + (-4*q + 3*q + 3*q)*(-13*q - 8*q**4 + 13*q) + 4*q - 5*q**5 - 4*q.\nAnswer: -22*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 1. Let y be q(5). Let m(n) = 3270*n + 4. Let o be m(y). Suppose 27*j - 25*j - o = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82362 - -122453. Suppose -36309 = s + a. Round s to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 81*y**3 + 8*y - 23. Let w(x) = -27*x**3 - 3*x + 8. Determine 3*f(o) + 8*w(o).\nAnswer: 27*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 2, y: 4, g: 6, s: 1}. What is prob of sequence ggs?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 8. Let l be 36\/(-8)*(-2)\/(-3) + 10. Determine a(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5\/9 + 8*u**4\/9 + 100*u**3\/9 - 440*u**2\/9 + 208*u\/3 - 32 = 0.\nAnswer: -6, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3133528 is divided by 1044504.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 23 (c) -12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1529942523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3424, -1.95, 10?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2419, -50, 3907, 9458, 16609, 25366, 35735?\n\"Answer: h**3 + 788*h**2 - 2*h - 3206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*w = 20, 0 = -5*c + w - 2*w - 4. Sort -4, c, 5.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 347*c + 3676. Determine k(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 12.1 (b) -0.5 (c) 0 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67584331 by -4.\nAnswer: 67584331\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/70)\/((-100)\/(-805)) and -31\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a millimeter in micrometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426659 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15129 and -0.27.\nAnswer: -0.0408483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -672, -624, -544, -426, -264, -52, 216?\n\"Answer: c**3 + 10*c**2 + 11*c - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(21)*1*-4)\/(-4*(sqrt(7) - sqrt(42)\/sqrt(6)*-1 - sqrt(7))))**2 + 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*4\/(12 - 4). Let y(u) be the first derivative of 0*u**3 - 1 + 0*u - 2\/5*u**5 + 1\/2*u**2 + t*u**4. Find the second derivative of y(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.15026839 or -3\/16?\nAnswer: -0.15026839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*o - 60, 27 = 2*o + 4*r - 33. Suppose 3*t = 5*t + 8. Let h be t\/(-14) + (-99)\/(-21). Solve -h*w + 9 = o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/1318 - -72553\/27678. Let o = p - 16\/7. Which is the closest to o? (a) 1\/5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 166 + 20 = 0. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 11:32 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -529*j + 8482. Determine g(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 9*n**2 + 2. Let h be j(-9). Let 5\/3*l**h + 2\/3 - 7\/3*l = 0. What is l?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 15*f**2 - f - 4. Let h be w(-15). Solve -6*n = -h + 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2389492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 87, 72, 57, 42, 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let c(m) be the third derivative of m**4\/12 - 4*m**3\/3 + 73*m**2. Let u be c(i). What is the second smallest value in 0.1, u, -5, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 5476.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuqeqqevqquieivvqv. Give prob of picking 2 v.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 264*o**2 + 6*o + 9. What is the remainder when m(7) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -41b9?\nAnswer: 41a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.32 - -0.32. Let f = 75.43 - 68.43. Which is the third smallest value? (a) v (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 63, 87, 113, 141, 171?\n\"Answer: f**2 + 19*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(96\/(-44))*(6 + 3). Solve -94 - 38 = j*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 + 2 + 2*h**2 + h - 4*h. Let m be s(-3). Sort m, 0, -5 in descending order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 9*r**2 - 6*r + 6. Let v be t(-8). Let h be 1\/(-2) - 35\/v. Let y = 3 - h. Solve 2*d - 3*d - 5 = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**0)**(-34)*(y\/y**(1\/2))**(-9\/2))**29)**49 assuming y is positive.\nAnswer: y**(-12789\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/3 - 9*a**4 + 4018*a**3\/3 - 35388*a**2 + 357048*a - 1197504 = 0.\nAnswer: -88, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {i: 1, a: 4, y: 3, b: 4, x: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + t**2)*(2*t**3 + 4*t**2 - 4*t**2 - 7 + 7 - 5*t**3 + 2*t**2 + (9*t**2 - 16*t**2 - 11*t**2)*(-4*t - 2*t + 4*t)).\nAnswer: 33*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23866 is divided by 3968.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 6. Let i(w) = 7*w**2 - 1. Let a(l) = l**2 + 1. Let m(u) = -4*a(u) + i(u). Let n(x) = 4*b(x) - 5*m(x). Calculate n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01154267 to 5 decimal places.\nAnswer: -0.01154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.45. Let j = 7 + -11. Which is the closest to -3? (a) -4\/3 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrvv when four letters picked without replacement from {v: 5, x: 1, j: 8, r: 4}.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.44 - 0.14. Which is the biggest value? (a) -1\/2 (b) 5\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiddiiddddididdi. Give prob of sequence idi.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 382911.8 - -0.5?\nAnswer: 382912.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + sqrt(144) + sqrt(144) + (sqrt(144) + (-2*sqrt(144) - sqrt(144))*3 - sqrt(144)))\/sqrt(12))\/(4*sqrt(16)\/(sqrt(8)\/sqrt(2))).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3021 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 + 15*f**2 + 3*f**2)*(14*f**2 - 11*f + 11*f) + f**4 + 3 - 3 + 62*f**2 - 1 - 34*f**2 + f - 27*f**2 - 9*f**4.\nAnswer: 132*f**4 + f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from zoollooocoooozzocolo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r - 12*r + 48*r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, 32, 158, 388, 752, 1280, 2002?\n\"Answer: 5*b**3 + 7*b**2 - 4*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15149 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/27*3 + (-14820736)\/(-612)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {g: 10, a: 1, i: 1, z: 3, j: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2630 + 2662. What is the greatest common divisor of i and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4331 = 71*c - 83*c - 193*c - 1204 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:09 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, g: 5, m: 6, d: 1, r: 6}. What is prob of picking 2 g, 1 r, and 1 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 30.9?\nAnswer: -0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + (-45)\/(-9))\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-1)\/28). Let i(h) = -h**3 - 14*h**2 + 4. Let w be i(d). Suppose n - 12 = w*n. Let g(o) = 2*o**2 + 5*o - 4. Calculate g(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 504*k + 20. What is the thousands digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*i + 8, -6*i = -i + 4*h + 50. Let v(z) = -5*z - 27. Let p be v(i). Suppose p*l - l - 10 = 0. Solve -1 + l = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 159. Let o = -100 + q. What is the remainder when 34 + 2*(-1 - -2) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/434 and 39\/35.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -1\/42, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3776 and 944.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 163?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7588?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*a - 98, -2*a + 0*c = 3*c - 98. Suppose 5*f - 5*x = f - a, -f = -3*x + 21. Sort -5, f, 5.\nAnswer: f, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 1, -34, -93, -182, -307, -474?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -65. What is the third smallest value in 0.2, u, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = a. Let y be a - (-7 - (3 + -5)). What is the greatest common divisor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2034348)\/(-2538) + 14\/(-9). What is the greatest common divisor of 50 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-279)\/868)\/((-8)\/((-32)\/(-12)))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 637405.\nAnswer: -14660315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 194321755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 32 + -6 + -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40 - 4*(-1)\/(-2). Suppose v = 5*p + 478, -p = -5*p - v - 377. Let j = k - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27235499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 51*l - 53*l + 8 = 0, 66 = 5*i + 7*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:19 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 184, 282, 384, 490, 600?\n\"Answer: 2*j**2 + 88*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s = -176. Suppose -r + 4 = -s. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -37*g - 10 + 12 + 73*g - 33*g. Calculate a(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1685, -11, 5, 273 in descending order.\nAnswer: 273, 5, -11, -1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686972593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - 4 - -8 - 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.137 to two decimal places.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzzzzcpzjccqqpp. Give prob of sequence cq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-40)\/((m*m**7)\/m**4))\/((m\/m**0)\/m**(1\/6))**(-32) assuming m is positive.\nAnswer: m**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (900\/27)\/(4\/(-18)*-3). Let n = q - -140. List the prime factors of n.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 7. Suppose 6 = 3*g - m. What is the third derivative of -14*n**2 + 16*n**2 + n - n - 5*n**g wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 31 = 5*t, x + 4*t = -4 - 4. Suppose 107 = x*s + b + 33, 3*s - b - 52 = 0. Let n be 1 - 1 - (s + -20). Solve -j = n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -175 in 444, -2\/5, -0.2, 10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 7*u**2 - 7*u. Let j be w(8). Let q(m) = m + 18. Let k be q(-3). Solve j*y = 3*y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + 17*b + 53. Calculate y(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkkke. Give prob of picking 2 k and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 18, -31 in ascending order.\nAnswer: -31, -7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 581\/63 + 6\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.022976, -0.31.\nAnswer: -4, -0.31, 1.022976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:23 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggsggsgg. Give prob of sequence ggg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - q + 48 = 0, -k - 22*q + 16 = -26*q. Solve 0 = -o - j, -o - 4*o + k = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*a + 1619*a + 104183 = -48804 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6*j - 5 = 0, g + 3*j - 17 = 0. Let k = 180 + g. List the prime factors of k.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 + 6*p + 2. Let r(q) be the third derivative of q**4\/24 - 5*q**2. Let y be r(5). Suppose 23 - y = -3*d. Give z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8240, 18\/11, 2\/9 in descending order.\nAnswer: 8240, 18\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 43.685?\nAnswer: 40.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - c18?\nAnswer: -c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/21*9\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6 + 0*a + a**3 - 6*a**2 + 6*a + 0*a**2. Let z be m(5). Let c = -31\/2 + 14. What is the closest to z in 0.2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**2\/17 - 2182*t\/17 + 12992\/17.\nAnswer: -2*(t + 224)*(5*t - 29)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**3 - 4*v**2 + 4. Let x(m) = -44*m**3 + 15*m**2 - 11. Determine -11*s(z) - 4*x(z).\nAnswer: 11*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13966205.\nAnswer: 5, 11, 37, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.95 - -12.263. Let v = 0.1 + 0.62. Let t = v + n. Round t to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-20) + -10 + 9 + (37 - (23 - -7))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879584011.\nAnswer: 2621, 335591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 298b84 + 3?\nAnswer: 298b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:20 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.78 + -1.78. What is the nearest to k in -4, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577588 divided by 4?\nAnswer: -394397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 3*k + k)*(4 - 2 - k**2 + 1) + (0*k - 5*k + 3*k)*(-1 + 1 + k**2) to the form d*k**2 + y*k**3 + a + o*k and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28428)\/54487)\/(135\/(-138))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, -9608567 in ascending order.\nAnswer: -9608567, -4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2825 (b) 0.2 (c) -4 (d) -0.03 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f + 5 = 0. Let o(b) = 4850*b - 4850*b + 1 + 4 - 5 - 26*b**2. Determine o(f).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 70*y + 76*y - y**4 to c*y**4 + o*y**3 + d + u*y + z*y**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 48. Let r = q - -47. What are the prime factors of r\/((-4)\/87) + 0?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -9\/7, -12069, -0.4?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10226833 is divided by 1845?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3*n**2*q**2 - 7*m**2*n**2 + 13*m**2 - 2*m*n**2*q**2 + 4*m*n**2*q - 12*n**2*q**2 wrt m.\nAnswer: -12*m*n**2*q**2 - 14*n**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3\/31, 87?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -647513 + 647472.7499. Let q = d - -42.055. Let u = 1.8 - q. What is u rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2879054, -5758108, -8637164, -11516222, -14395282, -17274344, -20153408?\nAnswer: -23032474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 15*z + 41. Let d be k(12). Suppose -3*g - 108 = -5*g - 2*q, d*g - 274 = -4*q. Calculate the highest common divisor of g and 580.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 2*t**2 + 3*t - 1. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 8*f**2 + 6*f - 27. Let r(c) = 2*c**2 + 2*c - 9. Determine -8*r(d) + 3*x(d).\nAnswer: 3*d**3 + 8*d**2 + 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:53 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*a**3*b**2*p + 2*a**3*b**2 - 13*a**3*b + 2*a*b**2*p - 6*b**2 wrt p.\nAnswer: 65*a**3*b**2 + 2*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13174 is divided by 6477?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 9 - 1 - 3 + 7 + (-2 - 1 + 4)*(-1 + 0 + 0))*(8*r**3 + 3*r - 3*r).\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 26748 = -5552. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50875 - 11056. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91193, -181446, -271699, -361952, -452205?\nAnswer: -542458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/18 and 155\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 + 20*j + 6. Let l(v) = v**3 - 9*v**2 + 20*v + 6. Let g(y) = 4*l(y) - 5*p(y). Is 23 a factor of g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 4)*(247 + 95 - 58)*(15*h**2 - 3*h + 3*h) in the form x + l*h**2 + a*h and give l.\nAnswer: -17040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 13*k**2 - 5*k - 14. Let f be a(-13). What is the greatest common divisor of f and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952, 954, 956, 958, 960?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - h**2 - 2*h. Let i be r(-1). List the prime factors of i + 1 + 31 + 2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewewewseeweyesebe. Give prob of picking 1 b and 1 y.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 218*q + 217.\nAnswer: (q + 1)*(q + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59382060599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/5 and 53\/565?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -309*j**2 + 3*j. Let i(z) = -464 - z**2 + 289 + 175. Determine a(i(g)).\nAnswer: -309*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176937741 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 3, z: 2}. What is prob of sequence xyy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyr when four letters picked without replacement from {n: 4, y: 8, r: 1}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (3 - -5) - (-13 + -67 + -21)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 36388.\nAnswer: -32749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872*v = -881*v + 11574. What are the prime factors of v?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 5*t**4 + 522*t**3 - 21*t - 27*t**2 - 2*t**4 - 501*t**3 + 33.\nAnswer: 3*(t - 1)**2*(t + 1)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28920 and 1416?\nAnswer: 1706280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226242*t - 226242*t + 868*t**2)*(14*t - 46 + 46).\nAnswer: 12152*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 * 464.31\nAnswer: -17.64378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - a - 224 = 0. What is the remainder when 94 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 65 = -11*l. Is 1101*(119\/42 - (-3)\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*242\/(-132) + 1*-14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11 + 18)*(3*j - 2*j - 3*j).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppskpqskssskpp. What is prob of picking 2 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/2 - 5*j**3\/3 - j**2\/2 + 1. Let q(d) = d**3 + 2*d**2 + d. Give 5*q(l) + 2*z(l).\nAnswer: l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40213 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*(i**(-2\/3)*i)\/i*i)\/i)\/i)\/i)\/i)**(-32)*(i\/(i*i*i*((((((i**(-1\/2)\/i)\/i)\/i)\/i*i)\/i)\/i)\/i))**(-28) assuming i is positive.\nAnswer: i**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20092520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 - 2*p + 3. Suppose 5*o - 45 = -15. Give z(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 31. Let b be i(9). Find the common denominator of 657\/b + (-36)\/14 + 3 and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus -207559460902?\nAnswer: 207559460902.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 145. Let f = -90 + 207. Suppose y + 62 + m = 3*h, 2*h + y = f. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35477 and -9.\nAnswer: 35468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**3\/3 - 8*t**2 + 9*t + 23. Let p(i) = i**2 + 7*i - 4. Let f(d) = 3*h(d) + 7*p(d). What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*s = -32, 3*w - 3*s = w + 20. Find the third derivative of 28*q**w + 186*q**2 - 252*q**2 + 120*q**2 wrt q.\nAnswer: 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(18*d**3 - 12*d**3 + 18*d**3 + (d + 2*d - d)*(-2*d**2 - d + d) + 3*d**3 - 3*d**3 - d**3 + d**3 - 4*d**3 + 4*d**3 - d**2 + d**2 - d**3).\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2. Let p(n) = 18522321*n**2. What is p(t(r))?\nAnswer: 166700889*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6410233?\nAnswer: 283, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + f + f + 0. Let n(t) = t + 1. Suppose 3*l - 4 = 11, -k + 2*l = 7. Suppose -5 - k = 4*a. What is a*n(x) + d(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5751, -2, 2060 in increasing order.\nAnswer: -5751, -2, 2060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*u - 540 = -55 + 1550. Let d(z) = -z**3 + 6*z**2 - 4*z - 3. Let o be d(5). Solve u*g - o*k + 5 = 3*k, -4*g - 22 = 5*k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*q = -103 + 552 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let b = 538 - 536. What is the nearest to -1\/2 in t, b, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 3. Let f(m) be the third derivative of m**4\/24 + m**3\/6 - 2*m**2. Let g(v) = 2*f(v) - r(v). Calculate g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 17. Let h be 6*1*(-39)\/t. Let q(j) = 3*j**2 + 7*j + 6. Let r be q(-4). Calculate the greatest common factor of h and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 102*z - 102*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5148)\/308 - -12) + 9 + -3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cbd3 (base 15) to base 8.\nAnswer: 432047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -1 in decreasing order.\nAnswer: -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 5555.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.98. Let o = -0.1 - 0.18. Let n = o + t. Is -1\/2 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 9*z + 54 = 0. Suppose z*q - 1620 = 8*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v. Suppose -4*r + 2 + 10 = v. Suppose 8 + 17 = -5*s. What is the third smallest value in s, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(-4 + (sqrt(342) + 5*(sqrt(342)*1 + sqrt(342)))\/(sqrt(18)*-6 + (sqrt(4) - 2*sqrt(4))\/sqrt(2))))**2.\nAnswer: 8712*sqrt(19)\/19 + 48400\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -h - 1240, -k - 3*k - 3*h + 973 = 0. Suppose k*y + 1620 = 256*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*i - 17 = 0, 50*f - 51*f - 2*i = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + r**2 + 3*r**2 - r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(270)\/(-2*sqrt(9)))\/(sqrt(24) + 2*sqrt(96)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**2. Let j(z) = 38*z**2. Calculate j(r(p)).\nAnswer: 13718*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -12 - (1 + -7)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.2 (c) 270 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1740 and -179\/120?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 309*k. Let t(q) = -q**2 + 103*q. Calculate -4*p(f) + 13*t(f).\nAnswer: -f**2 + 103*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 + 50*v**2 - 68*v + 148. Give r(7).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000609875198 to 6 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3. Let y(p) = 2*p**3 + 5. What is -5*u(x) + 3*y(x)?\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -6, -4\/3, -1, 2, 184 in descending order.\nAnswer: 184, 2, -0.1, -1, -4\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 104\/3. Let t = -0.9 - -1. What is the closest to t in 2\/7, -0.5, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 288 = -4*a + a, 20 = -4*f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -502*l**4 + 17*l**2 - 11*l - 2. Let q(b) = 167*b**4 - 6*b**2 + 4*b + 1. Let r(f) = 6*m(f) + 17*q(f). What is the second derivative of r(p) wrt p?\nAnswer: -2076*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2. Let c(s) = 169988714*s. Determine c(f(g)).\nAnswer: 849943570*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 289119469 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -685 - -144. Let c = -537 - h. Let g(d) = 39*d**2 + 2*d - 1. Calculate the lowest common multiple of g(1) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7068 + 14906. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 88.54717 millilitres to litres.\nAnswer: 0.08854717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 210, 810, 1804, 3192, 4974?\n\"Answer: 197*t**2 + 9*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.17 - -87849.\nAnswer: 87850.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3401 and -45.85.\nAnswer: 155935.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 - 0 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934558969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -9 - 1. Let s(y) = -12 - y**2 + 2*y + 3 + 2*y**2 - 11*y. Let l be s(10). Solve p = v + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 0?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1555228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p + k - 1, 5*p - 3*k = 24. Let n be 4\/p*21\/(-98). Which is the biggest value? (a) n (b) -1 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - 4)*(-3)\/(-4). Let y(q) = 2*q**2 - 6*q - 6. Let t be y(b). Let z be ((-4)\/t)\/((-8)\/10). What is the smallest value in 2\/13, 2, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.780174 centuries to months.\nAnswer: 2136.2088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23141948?\nAnswer: 2, 113, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18970, 75881, 170734, 303529?\nAnswer: 474266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 7*p**6\/120 - 7*p**5\/60 - 13*p**4\/12 - p**3\/6 - 5*p**2. Is v(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 1. Let m be a\/6 - (-5)\/3. Is (332\/(-12))\/(m\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-2)\/1)\/(-1). Suppose -3*i = -4*w + 9012, u = 4*i - 3*i - 5*w + 3015. Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 * -107337\nAnswer: 10733700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.81, -1, -14 in ascending order.\nAnswer: -14, -8.81, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*q - 5, -4*q + 863 - 865 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19038.25 litres in millilitres?\nAnswer: 19038250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 51*b**2 - 472*b + 3. Let r be g(59). Suppose 0 = 5*p - v - 13, 4*p - 6*p + 1 = v. Let f(t) = -p*t + t**2 + 1 + t**2 + 0 - 2. What is f(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 252\/16) + (-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 + 71?\nAnswer: 70.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 - 2*g**3 + g - 2*g**2 + 6*g**2 + g**3 + 5. Let h(w) = -w**3 + w**2 + 1. Suppose i + 2 = -r, i - 4 = 5*r - 0*i. Give r*t(y) + 4*h(y).\nAnswer: y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + i - 2. Let w be d(2). Suppose -p = l + 1, 4*p - 12 = 3*l + w. Solve -p*j - j + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 263396997*m**4 - 263396998*m**4 + 22*m**3 + 1 + 128*m**3 in the form k*m**4 + n*m**2 + i*m**3 + v + l*m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/53742 and -73\/390.\nAnswer: 268710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6365978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -23042*x + 1805. List the prime factors of o(-2).\nAnswer: 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.31*2039\nAnswer: -80153.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*j - 36648, 2*j + 13*a - 12*a = 14652. Is j a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -25, -0.07, -331?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 10000111111000111110?\nAnswer: 10000111111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 42*f - 1. What is the tens digit of j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 0 + 0 + (-3*v**3 + 6*v**3 - v**3)*(-1 + 1 - 2*v) + 46*v**4 + 4213*v - 4213*v in the form b*v**2 + s*v**4 + h*v**3 + c + m*v and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 55, -1\/9, -7\/555, 1\/6, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9542, -19079, -28616, -38153, -47690, -57227?\nAnswer: -66764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 3*i + 2*i, 5 = 4*l + 5*i. What is the fourth biggest value in 0.4, 5, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*h = -816, -5*i = -4*h - 431 - 391. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 28*v + 28*v + 21 to i*v + m*v**2 + u + r*v**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11126.\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165570378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 113f0 (base 16) to base 3\nAnswer: 10120220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141098 take away 0.05?\nAnswer: 141097.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -29 + 1775\/50 + (-5*2 - -4). Factor g*k**4 - 3*k**3 + 1\/2*k**5 + 4*k + 0 - 2*k**2.\nAnswer: k*(k - 2)*(k - 1)*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254360, -1018802, -2292870, -4076564, -6369884, -9172830, -12485402?\nAnswer: -16307600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(637) - (sqrt(637) + -2 + 3)**2) + (((-3 + sqrt(637) - sqrt(637)) + -3)**2 + -5)*-3.\nAnswer: -726 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -7.12879.\nAnswer: -21.12879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 5*r + 2. Suppose i = 2*t - 10, 5 + 10 = 3*t - 3*i. Let b be (2 - t)*(-6)\/(-6). Give x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1034*g*w**2 + 220*w**2 wrt g.\nAnswer: 1034*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -4)\/(-6 + 13). Let g be (2 + 0 + -3)\/(-5). Sort b, -1, g in decreasing order.\nAnswer: b, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216208 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-450)\/(-60)*4\/6. Let c(o) = d*o - 290*o**2 + 0*o - 5 + 303*o**2. Let m(x) = -20*x**2 - 8*x + 8. What is 8*c(i) + 5*m(i)?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -63962 and -3347 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.9 + 42. Let q = -1.4 - s. Let g = q + -8. Which is bigger: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -488.04 - -517. Let g = t + -29. Sort -4\/7, g, -2\/5 in descending order.\nAnswer: g, -2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -422, 2\/5, 0, 3, -8, 7 in decreasing order.\nAnswer: 7, 3, 2\/5, 0, -8, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(4320))\/((sqrt(6)*4*4 + sqrt(6))*-3).\nAnswer: 40*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Suppose 15 = -0*j + z*j. Suppose 2*n - j*k + 16 = 0, 2*n + 4*k - 24 = -2*n. Solve -5*l = 3 + n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) 888 (c) -1\/6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.122 (c) -2\/7 (d) 0.08842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 537 and 9?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s**2 + 41*s + 3. Let u(d) = 8*d**2 - 21*d - 2. Let t(p) = -6*h(p) - 11*u(p). Is t(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 126454637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018582 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 19716*w**3 + 19695*w**2 - 118278*w.\nAnswer: 3*w*(w - 2)*(w + 3)*(w + 6571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 27\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4 + 4. Let g(f) = -8 - f + h + 6 - 5. Let x be g(-6). Solve -4*j = -2*d - 12, -2*d + 4 - x = -j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848 - 859 - 11*z**3 + 3*z - 3*z - 631 + 2338.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48851191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.56488 - -8732423.43512. Let r = -8733186.99641 + n. Let w = r + 714. What is w rounded to 4 decimal places?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -47196 + 5730. Suppose 13*h - n = 1929. Does 40 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 25*b**3\/6 + 577*b**2 - 262*b. Differentiate u(i) wrt i.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/(-70))\/((-7)\/((-98)\/35))*(-2)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 24417.\nAnswer: 170919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*f + 3*f, 0 = -4*s + 3*f - 341. Let c = 84 + s. Calculate the greatest common divisor of c and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 - 545*y**3 - 1665*y**2 - 1675*y - 560 = 0.\nAnswer: -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -586200819544 and 0.3.\nAnswer: -586200819543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let c(j) = -57915*j. Determine c(m(p)).\nAnswer: 115830*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86663 is divided by 9588?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*v - 4. Let p = 72 - 39. Let z = p + v. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -224?\nAnswer: 21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/11 + 10*y\/11 - 28\/11 = 0. What is y?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (6 - (0 - -2)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/s)**(2\/29)*s**(-5\/7)*s**(1\/16)\/s assuming s is positive.\nAnswer: s**(-4245\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u + 9513 + 4635 = 472*u - 3644 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 2608876.62s in days?\nAnswer: 30.19533125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 3:15 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from {s: 3, l: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 273*q + 5234. Give g(-19).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -223*o**3 - 590*o**2. Let a(g) = g**3 - g**2. Let w(f) = 6*a(f) + z(f). What is the third derivative of w(j) wrt j?\nAnswer: -1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*-2*sqrt(143))\/(sqrt(33)\/sqrt(3)*4 + sqrt(11)))**2.\nAnswer: 7488\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 48600\nAnswer: 48605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3273120 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95 in -4\/5, 4, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*v + 8 = 3, 4*k = -v + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cov when three letters picked without replacement from eevcveevcccoleclel.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -618, -577, -530, -477, -418, -353, -282?\n\"Answer: 3*m**2 + 32*m - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21527.7 - 21508. Let j = -0.3 - 0.7. Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616621952 to the power of 1\/3, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + c - 4. Let h be 4 + 6*(-2)\/4. Let w = -2 - h. What are the prime factors of j(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b11 (base 16) in base 10?\nAnswer: -39697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 22*x**2 + 2390*x - 64834. Calculate f(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5652 = 225*s + 16902 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73503 - 514487\/7. Solve 32\/7*j + 2\/7*j**2 - f = 0 for j.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 13 = 3*s, 0 = 4*z - s - 10 - 37. Let f be (-7 - -9) + -3 - 2. Let y = f + z. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 393 - 393.668. Let i = -0.668000666 - l. What is i rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 - 65*g - 10. Let i(r) = -9*r**2 + 79*r + 12. Let s(d) = 6*b(d) + 5*i(d). Let m(k) = 4*k**2 + 6*k + 1. Determine 2*m(y) - 3*s(y).\nAnswer: -y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 2*i + 1. Suppose 0 = -5*u + 7 - 2. Let h be o(u). Let a(c) = 2*c**2 - 5*c - 4. Determine a(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8129 take away 25.7?\nAnswer: -8154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 6 = -12. Suppose r - 758 = -4*u, -l*u = -0*u - 4*r - 559. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/3 - 14*s. Let c(j) be the second derivative of -23*j**4\/6 - 10*j. Determine c(v(x)).\nAnswer: -184*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 4*f)*(302 - 302 - 9*f).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Put f, -1\/5, -2\/7 in decreasing order.\nAnswer: f, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p**2 + 979*p - 15292. Give j(-95).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24*l. Let u(h) = 6*h + 48. Let m(t) = -t - 9. Let r(x) = 10*x + 37. Let i be r(-4). Let z(v) = i*u(v) - 16*m(v). What is z(j(w))?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 759 + -757. Which is the third biggest value? (a) -330 (b) -2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 81?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*v + 9 + 2 = 0, 0 = -a + 4*v + 17. Let q = 5421 + -5421.4. Let x = -9 + 9.4. What is the closest to a in q, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, -2\/53, -5, -0.5 in descending order.\nAnswer: 4, -2\/53, -2\/11, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-270)*(5 - 0). Let v = 5448 + -5447. Which is the nearest to v? (a) 3 (b) -1\/67 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81\/2 in 97, 2\/9, 12, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 5*d + 1. Let q = 1 - 2. Put d, -5, q in increasing order.\nAnswer: -5, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-3)\/6*61. Suppose 3*v = -n + v + 5, -v = 5*n - j. Let f be n - -4 - 3*1. Calculate the highest common divisor of f and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -33. Calculate the lowest common multiple of 11 and (2 - 8)\/q - -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288\/5 + 2\/5*f**2 - 48\/5*f = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = 0. Let g be 2\/(-4)*(0 - x). Is g greater than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862663*v + 862667*v - 18*m = -74, -2*v - m + 13 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9598\/5 + -1920. What is the closest to 2 in -22.9, 0.1, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-4 - -7 - -3) + (7 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*y + 5848, y = 3 - 4. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557979 + 654351 = 15*k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -6*(-4 + 2*sqrt(180)) + (5*(-1*sqrt(180))**2 + (-1*sqrt(180) + sqrt(180))*-1)*6).\nAnswer: -144*sqrt(5) + 10854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 922, 1422, 1922, 2422, 2922, 3422?\nAnswer: 3922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15 - (-30)\/(-50)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 28. Let b be t(10). Suppose -i - 2*a = -26, -a = -b*i + 24 + 43. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = u, -2*w + 18 - 66 = 2*u. What is the remainder when 8 + -4 - 1*w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/12)\/4*-201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*0.06.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11818*s - 4790. List the prime factors of p(2).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 287*x**2 - 7*x - 419. Is z(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 9. Let u = -40 - r. Let d = u - -24.0000059. What is d rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5504357 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 17. Let f = -5 - -5. Suppose -4*p = -w - 40, f*w = 3*w - 12. What is the remainder when v is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 283*l - 9567. What is the remainder when u(-47) is divided by 1510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2641888.\nAnswer: 2, 82559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4\/5 - 3436*o**3\/5 - 147232*o**2 + 147920*o = 0. What is o?\nAnswer: -430, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29975*a**2 - 2098*a**2 - 3038*a**2.\nAnswer: 24839*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5541.44 + -5693. What is s rounded to the nearest integer?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79929 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 4, i: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.76756 millennia to months.\nAnswer: 201210.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1453?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2926*n**5 + 1906*n**3 + 4061836*n**2 wrt n.\nAnswer: 175560*n**2 + 11436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60394.\nAnswer: 2, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/14519 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 125300456 and 9.\nAnswer: 1127704104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-6))\/1*(-49)\/(-63)*63\/4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let r = k + -2. Solve -7 = 5*g + c, -5*g + c + r - 13 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 4296513?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 2. Let w = 900 - 907. What is g(w)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 18*i**2 - 8*i. Let f(u) = -9*u**2 + 3*u. Give 7*f(j) + 3*s(j).\nAnswer: -9*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129 and 172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 8 in ascending order.\nAnswer: -3, -0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6745*b + 6750*b - 13501*b. Let f(s) be the third derivative of 3*s**4\/4 - 2*s**2 + 8*s. Give z(f(d)).\nAnswer: -108*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1997129 years in millennia?\nAnswer: 0.0001997129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14*x. Let v(a) = 2*a**2. Give z(v(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 94096 divided by 5\nAnswer: 94096\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**3*p**4 - 11*c**3*p - 1275*c*p**2 + 5679*p**5 wrt p?\nAnswer: 1080*c**3*p + 340740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from nfnnfnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1668 = 4*z. Suppose 0 = -3*t - t + z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = -4*c, -5*c = -4*c. Let t be (-12)\/(-16) + i\/4. Is (t\/1)\/(3\/102) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-10) + 33\/55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 17*a**2 - 28*a - 27. Let j be w(15). Solve j*y + 27*y = 150 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6603, -26218, -58855, -104514, -163195, -234898?\nAnswer: -319623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 261. Let l = 388 - k. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49507 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -160, -359, -640, -1003, -1448, -1975?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 165408, 661700, 1488876, 2646936?\n\"Answer: 165442*y**2 - 34*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -804041 (base 14) to base 16.\nAnswer: -41d219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/5 + 4 - (-4)\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -5*q**2 - 1 - 7\/10*q**5 - 13\/8*q**4 + 0*q**3 + 0*q. Find the second derivative of z(h) wrt h.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -29a6?\nAnswer: -29ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 2. Let y(d) be the second derivative of -5*d**3\/6 + d**2\/2 + 114*d - 2. Calculate 3*w(k) + 4*y(k).\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -720c?\nAnswer: -720f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (23961\/(-9128))\/((-245)\/(-168))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112366692453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6696352979391+4\nAnswer: 6696352979395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (765\/((-850)\/50))\/((-5)\/((-10)\/(-3))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufulhluvffulfu. What is prob of picking 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-519)\/(-4))\/((-9)\/(-12)). Suppose -139 = -4*l + i. Does 27 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 672 + -0.6952666.\nAnswer: 671.3047334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 18*u**3 + 12*u**3 + 4*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 - 11*a**4\/12 - a**3\/3 + 4*a**2 - 14*a. Let s be f(11). Put -2, s, 4 in decreasing order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*s**3 - 811*k*s**2 - 3*k*s - 33755*s**3 wrt k.\nAnswer: -s**3 - 811*s**2 - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 24. Let m = 15 - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171913202 to the power of 1\/2, to the nearest integer?\nAnswer: 13112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 7\/2*p**2 + 77\/30*p**6 + 0*p**4 + 0*p**5 - 55*p + 1\/2*p**3 + 0. Find the second derivative of l(z) wrt z.\nAnswer: 924*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 39 - 108 = n, -2*n + 5*t = 140. Let c = -61 - n. Factor 2*d**5 - 8*d**3 + 18*d**3 - 8*d**2 + 10*d**c + 12*d**2 - 2*d**4.\nAnswer: 2*d**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*p - w + 30, 3*p + 79 = -4*w. Let g = -25 - p. Let m be (g*(-218)\/4)\/((-1)\/10). Round m to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((360\/9)\/(-10))\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 16*y - 23. Calculate o(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423361901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 105*y**2 + 83*y + 631. Is j(-51) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - -627744?\nAnswer: 627711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/3 - 55*q**2\/6 - 379*q\/6 - 88\/3 = 0?\nAnswer: -16, -11, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 5, k: 6, n: 1, g: 1, e: 4, b: 3}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*d + 86, 3*d + 11 = 4*z - 91. Calculate the smallest common multiple of 14 and (z\/(-20))\/(3\/(-15)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) 4 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105577733 is divided by 3559.\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = m + 5 - 0, -11 = -4*s + 3*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = 6. Let n be (18\/8 + -2)\/(2\/l). Let o be 21\/210*4*2\/2. What is the closest to -1\/3 in n, 0.2, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + 352\/132. Solve -c*l - 4*y + 7*y + 15 = 0, -5*y - 25 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-2*395\/(-158). Let z be 0\/(-5) - 6*(-5)\/a. Solve -4*o - 6 = -r + 2, 3*r + z = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210210 + -110?\nAnswer: -11211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:56 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + q - 14. Let l be i(-7). Let u = l + 332. Let x = u + -92. What is the greatest common divisor of 48 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/6 + v**3 - 7*v**2\/2 - v. Calculate the remainder when w(-5) is divided by (-8 - -7)\/(((-8)\/10)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3264 and 384?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*u = -7093*u + 3601*u - 15344 for u.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -5*k - 5*w, -101*w + 252 = -89*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*58\/21 - 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 31*o**2 + 9*o + 90. What is z(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + 3*(sqrt(272) + sqrt(272)*2 + sqrt(272)) + -2*(sqrt(272) - (sqrt(272) + -1)) + sqrt(272) + (sqrt(272) - sqrt(272)*-2*3) + -5)**2.\nAnswer: -1280*sqrt(17) + 108869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4\/5 - 276*x**3\/5 - 2902*x**2\/5 + 15276*x\/5 - 12096\/5 = 0.\nAnswer: -126, -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 2*l**2 + 5*l - 6. Let o be f(1). Find the third derivative of 0*b**o + 0*b**3 - 4*b**2 + 7433*b**4 - 7450*b**4 - 7*b + 22*b wrt b.\nAnswer: -408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864210 - 34*k - 864210.\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 32003 + 185 = 0. Let w = k + 3398. Round w to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + 5*c - 5*c)*(152 + 138 - 226 + (-2 - 5 + 5)*(4 - 4 + 5)) to p*c + x + h*c**2 + s*c**3 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 8:14 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1822\/18 - 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v**4 + 0 + 8\/7*v**3 - 4\/7*v**5 - 4\/7*v + 0*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -2\/135*g**6 + 6*g + 1\/45*g**5 + 0*g**3 + 2\/27*g**4 - 3 + 0*g**2. Find l, given that s(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-40)*20)\/((-240)\/192)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f = 24*f - 3*s - 16, 5*f - 4*s = -2. Put f, -7, -4, -11 in ascending order.\nAnswer: -11, -7, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 9. Let f(w) = -w**3 - 13*w**2 - 34*w + 20. Let y be f(-9). Sort y, 6, j.\nAnswer: j, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 137, 423, 979, 1895?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 76 - 124 - 122.\nAnswer: s - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/5, -565, 2, -11\/4 in descending order.\nAnswer: 2, -1\/5, -11\/4, -5, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 0, -53*g - 2*j - j - 19 = -104*g + 56*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 - 362*p + 256. What is h(-46)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522196 at most 1522222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/((-5)\/51360*12). Which is smaller: 213 or m?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 16 = 21*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -337 - -336. Let u(v) be the third derivative of v**5\/60 + v**4\/24 - 6*v**2. Give u(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 - 12*b - 10. Suppose 0*j + 4*p + 4 = -3*j, -j + 2*p = 18. Let f be n(j). What is the greatest common divisor of 77 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498932 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(220)*-4)\/(sqrt(44) + (sqrt(132)\/sqrt(3) - sqrt(44))) + 4)**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let t = 8 - y. Which is the nearest to -1? (a) -2\/5 (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311d8 (base 15) to base 2.\nAnswer: 11011111011001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*l - l + 410 = 0, 5*y - 445 = 4*l. Let n be (6\/2)\/((-5)\/y). Let m = n + 53. Solve -q + m = 4*k + 15, -2*k = -q + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(88) + -3*sqrt(88) + sqrt(88) - sqrt(88))\/sqrt(11) - sqrt(72)*-1).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - w + 0*w + 3 + 2*w - 4*w + 3*w + 2 - 2 + w + (-5 - 2*w + 5)*(-4 - 1 + 6) + 3*w - 6*w + 2*w + 2*w - 3 + 3 to the form l*w + y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 8 - 1 + (-1 - 2 + 1)*(-4 + 4 + 2) + 1 + 2 - 2 - 6 + 3 + 2)*(6 - 6 + 8*l) to b*l + c and give b.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -21*c**5\/10 - 13*c**4\/3 + 39*c - 50. Let m(t) be the first derivative of g(t). What is the third derivative of m(f) wrt f?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 + (-1)\/4. Let o = 4 - b. Suppose 0 = -h, -j = j + 3*h - 6. Solve -i = -s + o, -j*s - s = -12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + (-876)\/18)*(-6)\/4. Let q = 97 - k. Solve -2*y = -5*u - 2, 0 = -2*y - y - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) 1 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2212 - 2210. Solve -10 = -w + o*b, w - b - 22 = 4*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 46215248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080 + 1075 + o**3 + 2*o**3.\nAnswer: 3*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41874*w**2 - 2*w + 2*w.\nAnswer: -41874*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f - 2*f + f)*(1 + 0 - 3) + 1 + 2*f - 1 + 5*f - 2*f - 2*f - f - 3 + 3 + 1 - f - 1)*(f - 7*f + 3*f)*(-2 + 2 + 1).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671145 is divided by 29136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45540.06 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 + -1 - (5 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 25, 25, 27?\n\"Answer: z**2 - 5*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - 301*u**2 + 3667*u - 2672. Calculate z(-86).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2994*f**3 + 7*f + 152 wrt f.\nAnswer: -17964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/4200 and 89\/34440.\nAnswer: 172200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 19*d**2 + 19*d + 123. Calculate a(21).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -3, 16, 53, 114, 205?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 22. Let u be y(5). What is the hundreds digit of 1377 - 9\/(8 + u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547975453, 547975452, 547975451, 547975450, 547975449?\nAnswer: 547975448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5312*t**3 + 5*t**2 + 18*t - 1. Let f(u) = 21249*u**3 - 22*u**2 - 78*u + 5. What is 3*f(o) + 13*l(o)?\nAnswer: -5309*o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*o + 65, -3*o + 4*c = -o - 26. Suppose 0 = -5*f - o + 48. What is the second derivative of -3*k**4 + f*k + 7*k**4 - k wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 220\/30 + -1 + -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220143 is divided by 406706.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -16. Suppose -3*x - 21 = -4*x - c, x - c = f. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Let i(m) = -8 + 4 + 5*m**2 + m + m**3 - 7*m. Let j(p) = 2*p**3 + 5*p**2 - 7*p - 5. Let b(u) = a*i(u) - 2*j(u). Determine b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9340 from 1056.\nAnswer: -8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2211445 + 10?\nAnswer: -2211435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1050231 and -31\/750165.\nAnswer: 5251155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(20))\/sqrt(2))\/(4*sqrt(2)*-1 - sqrt(2)) + (sqrt(80)\/sqrt(4)*6)\/(sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: 29*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) - -2*sqrt(605))*-2 - (3 + sqrt(605) + -1)) + 1*(sqrt(605)*1 + sqrt(605)) + -1)**2 + 5.\nAnswer: 330*sqrt(5) + 15139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (429 - 453) + 0 + 15 - -40.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -1\/3, -1, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427*c**3 + 107*c wrt c?\nAnswer: 2562*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-26)*t\/(t**(-14)*t*t)*t assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -20. Suppose 4 = -3*r + 5*b + 2, 2*r = 3*b - 1. Sort d, 5, r in increasing order.\nAnswer: d, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:11 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (-5*(-4 + sqrt(153) + 5 - sqrt(153)))**2 + 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4163890?\nAnswer: 2, 5, 416389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1276828, -1276817, -1276806, -1276795, -1276784?\n\"Answer: 11*j - 1276839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -c - 9, -c = -s. Suppose w + 135 = k, s*w - 974 + 331 = -5*k. What are the prime factors of k?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from kahhahh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/47651?\nAnswer: 4\/47651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*o - 12 + 57, j - 4*o - 40 = 0. What is the smallest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/23015880 and -47\/227880.\nAnswer: 23015880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 8169*o**2 + 16347*o + 8175.\nAnswer: -3*(o - 2725)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) - -1*sqrt(76)*-6))) - sqrt(76)))\/(sqrt(36)*5) + 1)**2 + 4.\nAnswer: -16*sqrt(19)\/15 + 2341\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3387 is divided by 1062.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799, 804, 809?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301400 - 301400.0000162609. What is r rounded to 7 decimal places?\nAnswer: -0.0000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 640469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = 30. Suppose 4*q = -p*b + 8*q + 62, -b + 16 = q. Calculate the remainder when b is divided by (1 + 0)*2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21547*o**4 + 1421*o**3 + 88458445*o**2.\nAnswer: 517128*o + 8526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -43. Let m = -9 + u. Suppose -2*q = -3*q + m. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 38. Let w(c) = 6*c + 2 - 7 - r. Does 32 divide w(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:28 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 56. Let q be r(-12). Suppose -2*m + 70 = -2*u - u, 3*m = -5*u + 105. What is the greatest common divisor of m and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(9\/2)\/3. Suppose 2*h - 10 = -5*g, 2*g + 68 = 5*h + 72. Suppose g*p + 4 = b*j, -j - 14 = 2*p - 2. Sort 7, -2, p in decreasing order.\nAnswer: 7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1485, 2989, 4491, 5991, 7489, 8985, 10479?\n\"Answer: -p**2 + 1507*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 6*-5)*6\/9. What is the common denominator of (q\/(-5))\/(80\/(-350)) and 31\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -782497\/20 + 39125. Let g(u) be the second derivative of -2*u**4 - 17*u - 13\/2*u**3 + 0 - r*u**5 - 9*u**2. What is a in g(a) = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/120)\/((-27)\/(-10)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = j - 3*i + 22, 0 = 2*j + i. Suppose -375 = -5*f + 5*u, -3*u = 2*f - 183 + 38. What is the remainder when f is divided by j\/(-4)*(32 - -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -22 + ((-48)\/(-16) - -17). What is the third smallest value in f, 19, -0.3, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*j - 7, j - 1 = -0*k - k. Let l be ((-15)\/10)\/((-12)\/8). Let o(i) = i - 1. Let u(z) = 2*z - 1. Determine j*o(f) + l*u(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105376 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768340615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221560 (base 7) to base 16.\nAnswer: 9886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*z**2 - 25*d*z + 49*z**2 wrt z?\nAnswer: 4*d + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41383888 - -4.\nAnswer: 41383892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78132894 divided by 2.\nAnswer: 39066447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 2 - 10\/7*s**7 + 0*s**6 + 0*s**2 + 0*s + 0*s**5 + 6*s**3 + 0*s**4. Find the third derivative of i(y) wrt y.\nAnswer: -1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 - 1\/3*a**4 + 2*a + a**3 + 0*a**2. What is the second derivative of i(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 308*k**2 + 31324*k - 9384 = 0.\nAnswer: -102, 23\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8) - 66\/(-16). Suppose -3*g - g - 3*n + 1 = 0, -4*n - a = 4*g. Factor 0*q - 1\/3*q**2 - 1\/3*q**g - 2\/3*q**3 + 0.\nAnswer: -q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -296*b**2 - 91*b + 369. Let i(f) = 5*f**2. Determine d(i(g)).\nAnswer: -7400*g**4 - 455*g**2 + 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 3357?\nAnswer: 91\/3357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137\/18 or 9?\nAnswer: 137\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 68468*f**2 - 1165112*f.\nAnswer: 4*f*(f - 17)*(f + 17134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 9. Let z = -14 + s. Which is the nearest to 1\/3? (a) -5 (b) -3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 0)*(-8)\/10. Suppose 0 = 4*i + 3*d - 11 - 8, 0 = 4*i - 4*d - 40. Calculate the remainder when i is divided by (-4)\/(-6)*(-18)\/b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 8*w - 8. What is the remainder when 44 is divided by m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x**3 + 1\/60*x**5 - x**2 + 0*x**4 + 0*x + 0. Let g(a) be the second derivative of -a**4\/6 - 8*a. Calculate p(g(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z, -q = 4*q + 2*z. Suppose -4 = -k - q. Suppose -k*m + 17 = -43. Calculate the highest common divisor of 30 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/119 + (-2)\/(-7). Let y = 256 - 272.7. Let z = y + 16.6. What is the smallest value in n, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x - 5 = 0. Let b(o) = -19*o + 1. Let r(a) = -18*a + 1. Let f(w) = -3*b(w) + 2*r(w). What is the units digit of f(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -88?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -q - 0*q, -5*q = 5*i + 10. Let d(a) = -a**3 - 13*a**2 - 23*a - 9. Let v be d(-11). Does 22 divide (v\/q)\/(16\/(-2816))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*d + 49827*d**3 + 617*d + d**2 - 49760*d**3 wrt d?\nAnswer: 402*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*c - 18, 4*c + 27 = 4*n - 3*n. Let w(d) = 2*d + 10. Calculate the remainder when w(n) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/6)\/((-2)\/(-6)). Suppose a + 22 = -a. Let f = a - -11. Solve c = 5*o - f*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*(-15)\/9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = q - 99, 3*p = -4*q + 396 - 10. Let f(l) = 2*l - 205 - 4*l - q. Let r be f(0). Round r to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 14*c + 4. What is the tens digit of a(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 10*i - 47*i as t*i + x and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 9. Let u be p(7). Let m = -4 - -4. Suppose c = z + 9, m = u*z - 6*z - 4*c + 4. Let n(t) = -t - 1. Determine n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, i: 8, j: 2}. What is prob of picking 1 j and 2 i?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 144, 168, 212, 282, 384?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075 = 20*u + 855 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-20)\/(-16)*(-5)\/(15\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-4 - -4)) + 7. Sort -5, d, 9 in ascending order.\nAnswer: -5, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 2, b: 2, e: 1, h: 1}. Give prob of picking 1 w, 1 t, and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 30*b + 18. Let a be g(16). Let p be a\/28 + 207\/(-2). Let u = -10 - p. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i + 7. Let h = 5 + -8. Calculate the remainder when h*(13\/3)\/(-1) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085 times 267?\nAnswer: 823695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27551 times 0.4?\nAnswer: -0.510204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2*v**3*x - l**2*v**2*z + 2*l**2*v*x - l**2*v + 23*l*v**3*z - l*v**2*z - 11*l*v wrt v?\nAnswer: 60*l**2*x + 138*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15 + (84\/10 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*h = 15, 5*f + h = f - 11. Let m = 273034 + -273034. Put 107, m, f in decreasing order.\nAnswer: 107, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 4*h + 1. Let k be r(3). Let c be k\/(-4)*(-2 - -8). Suppose s - 2*s + 18 = -2*d, -c*s + d + 29 = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 26. Let k = 10 + q. Suppose -k*u = -1 - 29. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-12))\/((-1*2)\/(-510))?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774 and 1300406?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43169 - 73349. Round q to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b, -d + 3*d - 48 = -4*b. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226 - -234. Solve -g = 9 - n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -622, 4, 2, -68, 1, -1, 3.\nAnswer: -622, -68, -1, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 minutes before 9:45 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 145 + -1520104?\nAnswer: -151aa6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*h + 94*h + 578 = 2*z, -3*z = -h + 141. Calculate the remainder when h is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 7\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(-656) + 4473\/(-144)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/80)\/(1\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151196176 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (-3 - -1) + 67?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*q + 39*q**2 + 59*q - 90*q to k*q + m + f*q**2 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.4, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y + 3*y + (3*y + 3*y - 5*y)*(3 - 3 + 2) + y + 5*y - 2*y)*(-4 + 2*y + 4) + 3*y**2 - 4*y**2 + 3*y**2 + (-2*y + 4*y - 4*y)*(-3*y + 0*y + y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 5 = 21*x. Suppose 1 = x*n - 19. Let j be ((3 - n) + 16)*(-1)\/3. Let l(g) = -g + 1. Calculate l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:32 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7843 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*r = -183, 2*y + 122 = r - 3*r. Calculate the common denominator of y\/(-5)*(0 - -1) and (-4)\/18 + 86\/18.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/55238 + 3286651\/552380. What is the common denominator of x and (-46)\/(-12)*(-6)\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 7. Let k be p(-11). Let z = -0.48 + 0.08. Let m = -789 - -790. Which is the nearest to m? (a) 1 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 10*v + 21. What is z(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 192*x**2 - 105212*x - 2192 = 0.\nAnswer: -1\/48, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56366930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -9 + 1 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25385208.\nAnswer: 2, 3, 29, 36473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109073355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/13440 and -73\/16296.\nAnswer: 1303680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 1.4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 19 - (-1 - -1). Suppose -m*h + 1201 + 410 = 0. List the prime factors of h.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 348, 479, 552, 549?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28707 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 > -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27475 is divided by 578?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 118810622 to the power of 1\/2, to the nearest integer?\nAnswer: 10900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 - 274. What is the derivative of c + 52956*d - 52746*d + 25 wrt d?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192019996?\nAnswer: 2, 7, 113, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 - 19940*w**2 + 5*w + 19940 = 0 for w.\nAnswer: -3988, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 126*j + 12751. Does 6 divide t(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1647 and 1200069?\nAnswer: 73204209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, -5, -152 in ascending order.\nAnswer: -152, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*g = w - 18, -51 = -5*w + 2*g. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8*v*v*v\/(v**8\/v*v)*v**(-1\/2)\/v*v*v\/(v*v**(2\/21)*v*v)*v assuming v is positive.\nAnswer: v**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11100\/116550)\/(2\/(-98)*-1)*6\/(-40).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24082*m**3 + 7129*m**3 + 92248*m**3.\nAnswer: 123459*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1705256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/42 + (10\/(-14) - -1). Let a = 11\/42 - i. What is the closest to 0.3 in -3, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805996091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 298, 296, 294, 292, 290?\n\"Answer: -2*w + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000667893 to 7 dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4701*d - 4718*d + 306 = 0. Let c(z) = -z**3 + 12*z**2 - 9*z + 1. Let o be c(11). Suppose 0 = s - o - 7. What is the smallest common multiple of s and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4609.57 nanometers in kilometers?\nAnswer: 0.00000000460957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 18 = 3*r, 5*z + 2*r - 30 = 0. Is 1590\/20*z\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p - h - 1, -5*p + 6 = 3*h. Suppose 2*g + g - 12 = p. Suppose 69 = k + 5*s, g*s = 6*k - k - 229. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 1 - 1)*((-1 - 2 + 1)*(8*d - 9*d - 21*d) + 4*d + 2*d + 0*d).\nAnswer: 100*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*w**2 + 3*w**2 - w**3 - w**3 - 6*w**3 wrt w?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*n - 38*n - 12 - 61.\nAnswer: -264*n - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than 207937453248?\nAnswer: 207937453246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 45 + 21 + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135, -338, -685, -1182, -1835, -2650, -3633, -4790?\n\"Answer: -l**3 - 66*l**2 + 2*l - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 910 and 360955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11331000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 212092120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p + 1273*p**3 - 1269*p**3 + 43*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -934 times -707.8\nAnswer: 661085.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2863 in -0.3, 0.05, 1\/6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 96*q + 5783. Determine m(138).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4, f: 2, e: 7, k: 1, s: 4}. What is prob of picking 1 z and 1 u?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010022200 + 1201212?\nAnswer: -1001120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-9)\/3) + 4. Suppose 0 = q + 7*l - 2*l + 24820, -2*q + x*l - 49588 = 0. Let p be -6*(q\/(-3))\/4. Round p to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)\/k*k)**(5\/4)\/(k**(-2\/33)\/k*(k\/(k**(-7)\/k))\/k*k) assuming k is positive.\nAnswer: k**(-8743\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113.1 - -113.12. Put -0.1, k, 4 in descending order.\nAnswer: 4, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/261253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 19*u**4 + 7*u**4 - 4 wrt u.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1804, 7170, 16082, 28516, 44448?\nAnswer: 63854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d - 5. Suppose -5*o = 11 - 21. What is the least common multiple of f(o) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 - 62*z + 112. Calculate the least common multiple of 996 and l(2).\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -128656\nAnswer: -45\/64328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 442*g**2 - 767*g**2 + 333*g**2. Let k(i) = 292*i - 3. Determine j(k(v)).\nAnswer: 682112*v**2 - 14016*v + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**8\/6720 - p**7\/1260 - p**6\/360 + p**5\/30 - 5*p**4\/12 + 11*p. Let c(h) be the third derivative of f(h). What is c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16022351 (base 8) in base 12?\nAnswer: 12953a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088445 a multiple of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 768, 771, 776, 783?\n\"Answer: j**2 + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, z: 1, b: 4, j: 2, x: 1}. Give prob of sequence bb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - ((sqrt(68) - (sqrt(68) - (sqrt(68) - -3*sqrt(68)))) + sqrt(68))) + sqrt(68))*-6)\/(sqrt(44)\/(sqrt(11) + (1*sqrt(11) - sqrt(11)))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (520\/(-70) + 8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 181 (c) 5 (d) -0.05 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let c(q) = -25096114*q**2. Determine b(c(m)).\nAnswer: -629814937900996*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57488*0.17.\nAnswer: 9772.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9440987 centuries to decades.\nAnswer: 9.440987","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546864 and 15.\nAnswer: 2734320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (0 - (0 - -1)). Suppose 1 + 5 = 2*m. Let x = m - -1. Solve x*i + u + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f**2 - 9*f + 29. Let j(r) = -4*r**2 - 2*r + 7. Determine 9*j(y) - 2*v(y).\nAnswer: -2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-87)\/4) + ((-356)\/(-16) - -2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1525244 (base 6) to base 4.\nAnswer: 111303130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/24*4*6. Suppose 1 = -o - z. Is 11 a factor of (o + 2 + 1)*-19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 11:23 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219563.\nAnswer: 3, 17, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let v = -10 + 7. Let w be (-4)\/(16\/9) - -2. What is the closest to w in r, v, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -317, -1450, -3337, -5978?\n\"Answer: -377*z**2 - 2*z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 24 + 30 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6821 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 135.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*r + 0*r = -3, -3*r + 5 = x. Let n be 1227\/(-33) + x\/(-22). Let c = 57 + n. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 415\/46 + -4869\/736. Calculate the common denominator of i and 97\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + z - 1. Let l be i(1). Let m be 1*l*(-20)\/15. Let b = 19522.7 + -19525.7. What is the second biggest value in b, -14, m, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(240\/4))\/(35\/(-140))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -7*r + 100. Suppose f + 7 = 3*a - 3, 2*f = a + 5. Let g be (5\/(-2))\/((-3)\/6). Solve -k + r = g*s, 6*k + a*s - 45 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -69737?\nAnswer: -1\/69737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.5, -1, 5, -31, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 19 + 4 = 3*n, 0 = -4*n + 5*f - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*(sqrt(110) + (-1*sqrt(110) - sqrt(110)))*6)\/(sqrt(70)\/(-1*sqrt(7)) + sqrt(10) - (sqrt(40)\/sqrt(4)*2 + sqrt(10)))*2)**2.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.444114 micrograms in kilograms?\nAnswer: 0.000000009444114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014324 to 6 dps.\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-25\/2))**(14\/13) assuming c is positive.\nAnswer: c**(-175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231 + -69. Suppose 166 = x + s. Solve -3*p - 6 = 2*y, -4*y + 3*y + x*p = -19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h + h + 9*h - 3. Let i be m(3). What is the second derivative of 7*q**3 - 4*q**3 - q + i*q wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -29.56.\nAnswer: -30.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -248*y**2. Let m(r) = -r. Give t(m(u)).\nAnswer: -248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 606.20798 to 1 dp.\nAnswer: 606.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5*3\/6)\/(((-120)\/32)\/(417\/13483))\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:14 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 0.1, 3\/95, 12 in ascending order.\nAnswer: 3\/95, 0.1, 8\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 - (-9 - -9) - 4 - 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 77*i + 155. Let g(t) = 7*t**3 - 5*t**2 - 2. Let c(n) = -3*n**3 + 3*n**2 + 1. What is i*g(k) - 5*c(k)?\nAnswer: -6*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -231*f**2. Let g(r) = 232*r**2. Let j(d) = -3*a(d) - 4*g(d). Let m(x) = x + 23 - 4 - 23 - 8 + 12. Give m(j(l)).\nAnswer: -235*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rggisr. What is prob of picking 2 r and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0231 (b) -0.3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 465348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223581 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: Suppose -5*n - 5 = -3*u, -3*n + u + 3 = 2. Let t(s) = s**2 - 21*s - 14. Let i(a) = -10*a - 7. Let h(x) = n*t(x) - 5*i(x). Give h(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10068419.\nAnswer: 10068419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -840230 (base 9) to base 11\nAnswer: -310858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888117?\nAnswer: 3, 19, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10 + (-14)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 4\/15, -2\/5, 19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429.377 litres in millilitres?\nAnswer: 4429377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 13) in base 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 less than 0.5?\nAnswer: 0.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -171, -246, -349, -486?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-4)*((-6)\/9 - -1). Suppose 5*h + 10 - 45 = n. Let z(u) = -8*u - 2. Let t be z(-2). Solve 0 = -b - 3*k + h, -b - t = -k - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2206964 and 25358.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighty-seven fifths of a century?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/14)\/(3\/7). Let j be ((-30)\/(-100))\/(3\/8). What is the nearest to -0.1 in 1\/2, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1)*(-1 + 3 + 0)*(1 + 3*d - 1).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 3*g - 4*g)*(-g**2 - g**2 - 2*g**3 + 11*g**3) to the form v + z*g**3 + q*g**4 + o*g**2 + r*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9809, 9807, 9795, 9767, 9717, 9639, 9527, 9375?\nAnswer: 9177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -c, -2*c - 2*i = 3*i + 13. Solve 0 = 2*f + 4*a - 2 + c, -f = -4*a + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*-3*2)\/(-5*sqrt(9)*1 - sqrt(9) - sqrt(9))*-5.\nAnswer: -25*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2238 and 503923.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1\/20, 0.3, -3, -448, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2938169\/97 bigger than -30291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 1. Suppose 5*x - 10 - 10 = 0. Is 26*g*2\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 281.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 330262 (base 7) to base 6\nAnswer: 1123234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 4*z - 7*z + 2 + 2*z. Let f be m(-1). Let l(h) = -4*h**2 - h + 3. Let o be l(f). Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 12?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39\/59, 2, -5, 4, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/364 and 25\/3707452.\nAnswer: 48196876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3101845 months to millennia.\nAnswer: 0.000192515375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let q(c) = c**2 - 108*c. Give q(d(i)).\nAnswer: 4*i**4 + 216*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48333584 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*u + 30 = -3*u, -3*u + 15 = b. Let j be 7\/14 - 6\/4. Sort -3, j, b in descending order.\nAnswer: b, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 66*v - 5313. What is g(81)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhhr when four letters picked without replacement from ryyyhhhhhyhyhyhhh.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and (-52*(-11)\/429)\/(1\/36).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321.1 - -321. Which is the closest to t? (a) -7 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p**(-3\/7)*(p**2*p)\/(p*p*p**(-2)\/p*p*p)*((p\/(p*p*p**(-1)*p*p))\/p*p\/(p*p**(-7))*p)\/(p**(-2)\/p)**37 assuming p is positive.\nAnswer: p**(802\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33236 + 513?\nAnswer: 33750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2165, 2167, 2169, 2171, 2173?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.071 and -0.126?\nAnswer: -0.008946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1322550 and -52\/345?\nAnswer: 30418650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 13. Let m(x) = -x**2 - 19*x - 62. What is the remainder when 45 is divided by m(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152007 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 2:01 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1189, -17, -3 in descending order.\nAnswer: 8, -3, -17, -1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8)*(-16)\/6. Suppose 5*t + 2*n = 8, 5 = 3*t + 5*n + 4. Let o be (t - 5) + -1 + 9. Put p, o, -2\/7 in descending order.\nAnswer: o, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -17. Find the third derivative of 13*p**3 - 7*p**6 + l*p**2 + 2*p**2 - 13*p**3 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3\/8 (c) -2\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -168. Let y = -57 - b. Which is smaller: -0.19 or y?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*o - 22, t + 7 = o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17882 = 279*c + 188*c + 4339 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4803268 is divided by 5391?\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 24*i + 3 + 4*i in the form x*i + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 + 29724*p + 148520 = 0.\nAnswer: -7426, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/32*8\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 8 = -c - 8*p, 5*c = -p + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7844029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -1726\/15. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 871*p**6 + 162920*p**4 - 369631992*p**2?\nAnswer: 104520*p**3 + 3910080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -2\/19, 13, -38 in descending order.\nAnswer: 13, 0.05, -2\/19, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dptdtddddttdd. Give prob of sequence dtt.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -1.82. Let g = -0.68 + x. Let s = 1 - 2. Which is the closest to -0.1? (a) s (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x + 21. Let v be j(0). Is v greater than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 93110*h = -93113*h + 34, -70 = -2*c - 10*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*i - 450 + 1986. What is the remainder when -62*(3\/(-2) - 0) is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - -1 - (3 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e8 + 1?\nAnswer: -2e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 - -0.4. Let q = 21 - 20.9. Let x = -0.5 + q. What is the biggest value in x, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5 - 2*c - 6 + 1. Let p(v) = -5*v. Calculate p(r(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (38\/4)\/((78\/(-60))\/(-13)). Suppose -2*t = 5*l - w, -2*t - 5*l + 2*l + 97 = 0. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.1 - -26. Let i = -3 - p. Let q = 0.8999999 + i. What is q rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 3*o - 3*o. Let u(z) = -53*z**2 + 7*z + 2646. Let t(l) = -690*l**2 + 92*l + 34776. Let n(g) = -7*t(g) + 92*u(g). Determine w(n(x)).\nAnswer: 6348*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 9 = 5*m, 3*m - 5*h = 8*m - 15. Let z(f) be the first derivative of -4 - 3\/4*f**m + f + 1\/6*f**3. Factor z(a).\nAnswer: (a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382 + 802. Let z = t - 405. Calculate the lowest common multiple of z and 29.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2262*i + 13222 + 16184 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Suppose 28 = v*d + 2*n, 0*n = -4*n + 8. What is the remainder when 33 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/36*2*-1. Suppose -5*i = 2*o - 4, -2*o + 5*o = -9. Which is the third smallest value? (a) u (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = -169*o + 1553 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -165*h + 4009. Give t(24).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i + 35*i = -143. Let h = 40 + -19. Calculate the remainder when i - 5 - (-3 + -25) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 7. Let t(r) = 6*r - 14. Let q(j) = -3*t(j) - 7*v(j). Let y be 3*(3 - 2) + -2. Let b(a) = -y - 5 + 0*a - 2 + 4*a. Determine -5*b(g) + 6*q(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + 3\/(-45). Let c(l) = l**3 + 12*l**2 + 33*l + 396. Let t be c(-12). Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324916697.\nAnswer: 3, 13, 33972223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*a + 108 = 0, 4*a + a = -u + 60. Let r = u + -38. What is the least common multiple of 7 and r\/2 + (-5)\/10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122488 and 61?\nAnswer: 122488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*i - 269*i - 15 = 272*i + 5*k, 15 = -3*i - 5*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.11471 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + (sqrt(175) - (3*sqrt(175) + sqrt(175))))**2 - sqrt(1008).\nAnswer: -12*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -43*j**2 - 38*j**2 + 82*j**2 - 1. Let a(c) be the first derivative of -5*c**3\/3 - c**2\/2 + 5*c + 52. Calculate -a(b) - 4*p(b).\nAnswer: b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d + 10. Let v(z) = -22*z + 8. Let n(i) = -4*k(i) + 5*v(i). Let y(h) be the second derivative of -8*h**3\/3 + h. Give n(y(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 1776 - 432. Let r = 552 + j. Which is the second smallest value? (a) 2 (b) -0.09 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Suppose s = f + 11, q = -5*s - 5*f + 2*f + 15. Suppose 0 = p - 5 - s. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-134.5\nAnswer: -134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -117 + 112 - d**3 + 6*d**2 - d**2 - 2*d. Let w be (-2)\/5 - 34\/(-10). Suppose 0*b - 5*l = w*b - 32, -5*b + 3*l = -8. Give p(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aakkanka. What is prob of sequence ka?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -25*u - 2. Let v(s) = -12*s - 1. Calculate 6*m(h) - 13*v(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 5. Let i(v) be the third derivative of 0 + 117*v**2 - v**3 - 1\/4*v**4 + 0*v. Give -4*i(a) - 5*t(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d04b6 (base 16) to base 6.\nAnswer: -30141514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-10) - 12*114\/3420?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 7. Let m(y) = -5*y + 34. Determine 2*m(a) - 11*z(a).\nAnswer: a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*x - 4. Suppose x*o + o - 2*z = 64, -5*o = 3*z - 75. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1488 and -1\/96.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -u + 22, 8 + 27 = 5*u - 5*f. Let d be (1 - -3)*(-6)\/(-8). Suppose d*k + 0*k = u. Solve -k*n - 18 = q, n + 3*q = -n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.142, 15, -1\/5, -1, -5, -244?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (2 + (-6 - -3)). Let j be 7\/(-14)*(-70 + m). Let n = j + -7. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 30*k - 36. Give a(-27).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1. Let i(d) = d + 2. Let o(j) = -i(j) - 4*z(j). Calculate o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + m**2 - 4*m + 40. Calculate the least common multiple of 1 and n(7).\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2 - 456*g + 1789.\nAnswer: 2*g - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13680 = 12180. Calculate the remainder when p is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = -2*f + 18, -3*f = -15. Suppose -2 = 2*g + 2*d, l*d + 3 = -5*g - d. Suppose 10 = m - g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 5*c - 52*c.\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(5*(-1)\/2 + 1). Suppose r*l = 2*l. Solve 2*t - t = l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37404)\/240*(-196)\/(-6). Let r = 5098 + a. Find the common denominator of 27\/2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, -2, -5.\nAnswer: -5, -2, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/2 - 2*w**2 - 11*w - 57. Let a(r) be the first derivative of z(r). Let v(h) = 2*h + 3. Calculate 4*a(p) + 5*v(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9254, -18502, -27742, -36974, -46198, -55414, -64622?\nAnswer: -73822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/2106)\/(2\/(-6)))\/((-184)\/(108192\/196))\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7435, -4191, -949, 2291?\nAnswer: 5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6581*l - 130. Let x be r(-22). Is (-4)\/14 - x\/112*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**4 - 9*n**3 - 9*n**2 - 2*n. Let x(s) = -2*s**4 - 4*s**3 - 4*s**2 - s. Let z(v) = 4*g(v) - 9*x(v). What is the second derivative of z(c) wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422974, -422978, -422992, -423022, -423074, -423154?\nAnswer: -423268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70378, 140756, 211136, 281518, 351902?\n\"Answer: f**2 + 70375*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*y**4 + 7*y**3 + 4*y**2 + 2416*y.\nAnswer: 3744*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:39 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) 129 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3*f + 29 - 2*f - 12 - 11.\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 69. Let s = b + -25. Sort -2, -22, s in ascending order.\nAnswer: -22, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1972 (base 12) to base 11\nAnswer: -2378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -29*m + 35*m. Suppose m*k + 25803 = 21*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17143850, 17143848, 17143846, 17143844, 17143842, 17143840?\nAnswer: 17143838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*c + 2*n - 384, -n + 473 = 5*c. Calculate the greatest common factor of c and 4104.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-3)\/(-9) + 2 + 0. Is (-5)\/(-5 + 0) + 141*q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z**4 - 2 + 0*z - 4\/5*z**5 + 0*z**3 - 13\/24*z**6 - 3*z**2. What is the third derivative of i(b) wrt b?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mom when three letters picked without replacement from muumuomuummmmumuu.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 6 + 15*f**2 + 1 + 8.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -204124000 to the nearest 1000000.\nAnswer: -204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**6 + 4*x**2 + 0*x**5 + 6\/35*x**7 + 0*x**4 + 0 + 41\/6*x**3 + 0*x. Differentiate l(o) wrt o.\nAnswer: 144*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2355636, 2355559, 2355482, 2355405, 2355328, 2355251?\nAnswer: 2355174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 15 in increasing order.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + 11?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*r + 284, 2*r + 2*v - 402 = -2*r. Suppose n - 50 = 2*n + 3*u, -5*n - 250 = -2*u. Let a = r + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.5582 - 219204324.4\nAnswer: -219204276.8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*-9*(-3)\/(-243)*(-2)\/4.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 138*o**2 + 99199*o - 16503. Calculate w(-719).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (-48)\/18. Let p be (-10 + (l - -2))\/2. Let s(m) = -m**2 + 2*m + 3. What is s(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/60560 and -127\/109008?\nAnswer: 545040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 8827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1106, 1103, 1100?\n\"Answer: -3*f + 1109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1689 + -1692. What is the nearest to 2\/3 in 12, -2, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13437 divided by -1493\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 39 + 71. Factor -9 - z*m**3 + 17 - 6*m**2 - 18*m + 18*m**2 + 8*m**3.\nAnswer: -2*(m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 513\/648 - (1\/(-8))\/(-1). What is the smallest value in -5, 2, o, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3696, 72330, -3\/5 in decreasing order.\nAnswer: 72330, 3696, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 818?\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*w - 6*w + 32, 4*w - 3*g = 32. Let h = 11 - w. Find the second derivative of 0*j**h - 3*j + 0*j**3 + 5*j + 3*j**4 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 plus 59125254?\nAnswer: 59125254.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5.3623 * 24.25\nAnswer: 130.035775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 19. Let c be i(-6). Factor -4*b**2 - 9*b**4 + 1 - 3\/2*b + 11*b**3 + 5\/2*b**c.\nAnswer: (b - 1)**4*(5*b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 - -4024057.01.\nAnswer: 4024056.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40504585.\nAnswer: 5, 11, 736447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*t**5 + 210*t**4 - 380*t**3 + 120*t**2 = 0. Calculate t.\nAnswer: 0, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) + 807\/63 + 942\/1099\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*d**2 + 43*d**2 + 34*d**2 + 0*d + 0*d + 41*d**2 + 1.\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 24*t + 612 = -22*t, -k - 2*t = -147. Let u(v) = v**2 + v + 1. Let m be u(-6). Calculate the highest common divisor of m and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 2 + 0 + 1. Let b(p) = 328*p - 14. Let j(u) = 295*u - 12. Let w(x) = 9*b(x) - 10*j(x). Give -4*d(n) + w(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1354 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163364498.\nAnswer: 2, 11, 1889, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 2, w: 1, v: 1}. What is prob of picking 1 v and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449711 or -449695?\nAnswer: -449711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 142 = 2*y, 7*y - 5*y - 4*c - 142 = 0. Let g(h) = -h**2 + 10*h + 15. Calculate the remainder when y is divided by g(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 1 - 1 - 3*g + 0*g + g - 3*g - 61 + 61 + (3*g + 0*g - 2*g)*(0 + 3 + 1) - 11 - 12 + 24 - g + 2*g - 5*g + 2*g + (g + 0 + 0)*(4 - 4 - 1).\nAnswer: -6*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, 0.3, 0.2, -1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((25 + 18 - 6)*(0 + 3 - 2) + (2 - 2 - 3)*(-1 + 3 + 0))*(73 + 20*k - 73).\nAnswer: 620*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1140 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-24 - (-1 - 10)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 3106095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -30*u**2. Let k(g) = -2*g - 6393. Give k(s(m)).\nAnswer: 60*m**2 - 6393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23*w - 20. Let m be i(-1). Factor 3\/8*a**2 + 1\/8 - 1\/8*a**m - 3\/8*a.\nAnswer: -(a - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1902*n + 946*n + 952*n + 51)*(0 + 2 - 4)*(3*n**2 + n**2 - 3*n**2) - 2 + 2 - n**3.\nAnswer: 7*n**3 - 102*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*b - 2806 = -41*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2 + v - 1. Let u(p) = 6*p + 3. Let z = 160 - 162. Calculate z*u(y) + 7*b(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + 122*f - 394. Let q be y(3). Solve -4*w = -7*u + 3*u - 24, -3*w + q = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6855, -6861, -6855, -6831, -6783, -6705, -6591?\nAnswer: -6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4)\/(252098\/63028 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - r + (-2*r + 2*r + 2*r)*(-3 - 1 + 2) + 2*r + 6*r + 2*r - 4 + 4 - 2*r + 0*r - 3*r - r + 81 - 81 - 11*r + (-3*r + 6*r - r)*(-2 + 1 + 0).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 3*v**2 + 6*v + 4. Let r be (-12)\/(-10) + ((-39)\/52)\/(15\/104). Calculate c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10255, 17171, 24097, 31039, 38003, 44995, 52021, 59087?\n\"Answer: o**3 - o**2 + 6912*o + 3343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 244*z + 8679. Let d be s(-35). Solve 0 = 109*r - d*r - 60 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 16\/12)*-93. Let k = t + 70. Suppose 4*w - 624 = -k*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - (sqrt(228) + (sqrt(228) - -2*sqrt(228))) - sqrt(228)) + sqrt(228) + sqrt(228) + sqrt(228))*6)\/sqrt(12) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h + 11. Determine u(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929, -1854, -2779, -3704, -4629, -5554?\nAnswer: -6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 54*p. Let w be x(-1). What is the remainder when ((-1)\/2)\/(3\/w) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0045 (b) -4 (c) -1\/5 (d) -621\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 5*v**2 + 6*v - 6. Let o = -1628 - -1634. Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 73 = 18. Let b(c) = -3*c - 11. Let a(r) = 4*r + 5 + 1 - 2*r. What is z*a(s) - 4*b(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.85685 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9377311*v**2*x - 4882091*v**2 wrt x?\nAnswer: 9377311*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/8)\/(3\/(-6)). Let a = g - 10. Suppose -a*k + 157 + 53 = 0. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i**(-1)\/i)*i)\/i*i)**17\/((i**(-5)*i)\/(i*i**5)) assuming i is positive.\nAnswer: i**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 0*z**2 + 0*z**2)*(-10 + 18 - 26).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**5\/10 + f**4\/12 - f**3\/6 - 3*f. Let c = 12 + -14. Let o(z) = z**2 - z + 0*z + z**3 - 1 + 1. What is c*o(a) + 2*r(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -726 + 723. Which is the closest to 1? (a) -0.2 (b) -0.07 (c) u (d) 2\/107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(2 - 1 - 4)*(-4*m + m - 8*m**2 + 2*m) in the form n*m**2 + k + y*m and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/4 + 235440*b - 11086398720.\nAnswer: -5*(b - 94176)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 - u + 3 + 4*u**2 - 5 + u**3. Let t be f(-4). Does 13 divide (-1)\/t - (-8 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13689631, -13689632, -13689633, -13689634, -13689635?\nAnswer: -13689636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1092.00001854 + 1092. Round x to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 224.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 * 94.27\nAnswer: 5.93901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:46 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 2*m + 0*m)*((2 - 5 + 1)*(5 + 0 - 3) + 0 + 0 - 8)*(-1 + 0 - 1)*(15 - 2 + 0) to w + b*m and give b.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318815?\nAnswer: 5, 463763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1906553117 and -334908?\nAnswer: 334907.8093446883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 3*c**2 - 6*c + 2. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042141 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - 10. What is the common denominator of (j\/25)\/((-14)\/(-5)) and 83\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16218 + -16223. Suppose 3*h - 4 + 1 = 0. What is the second biggest value in l, -19\/2, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*((-69)\/(-54) + -1))\/((-146)\/((-118552)\/(-47705)))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/14 - -1) + 6771\/(-1281)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, f: 1, c: 2, z: 1, g: 1}. What is prob of picking 1 g and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*q**3 - 50*q**3 + 132*q**3)*(-34*q + 19*q - q) to x*q**2 + f*q**3 + h*q + v + b*q**4 and give b.\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153899632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -25. What is the tens digit of 8\/j + (-2232)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 - 3 = 0. Let d be w\/12 - 12530\/(-60). What is the greatest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/180 - 7*d**4\/36 + 13*d**3\/18 - 41*d**2 + 5*d - 2. Let u(h) be the first derivative of o(h). Find s such that u(s) = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 587*f + 20*f + 30957 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1950, -3894, -5838?\n\"Answer: -1944*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x - 12. Let q be v(9). Is q\/8 - 41\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8966792 by 9.\nAnswer: 8966792\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173\/3 - -57. Find the common denominator of (15\/6)\/(3\/2) and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*p + 1 + 7, -3*p + 20 = -5*r. Suppose -5 = -5*n, 44 = -3*c + n + 16. Let l = c + 13. Solve -l*g + p*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let v(b) = 9*b - 9*b - u*b. Is 15 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 6*m - 1. Let k = -54 + 15. Let u be ((-222)\/30 + 7)\/((-4)\/340). Let g = u + k. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 697 + 555. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 84\/8 - 4\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -2*l**3\/3 - 23*l**2\/2 + 13*l. Let p be (-13 - 0)*1 + -3. What is the units digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 1, c: 8, z: 1, g: 4}. Give prob of picking 1 y and 2 g.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)\/(2 - 1). Let y = x - 0. Solve y = -i + 4*f + 21, 5*f - 3*f = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 59.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rrv.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 2 - x + x**2 + 20 to l + z*x + k*x**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**8\/336 - z**6\/40 + z**5\/30 + 5*z**2 + 24*z. Let i(l) be the first derivative of q(l). Determine c, given that i(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -35. Let m = -1 - -3. Let k = m - 2.1. What is the closest to 2\/5 in 1, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 6*y**2 - 3*y - 4. What is the hundreds digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/43)*s)\/s)**34*s**(-2\/3)*s**10 assuming s is positive.\nAnswer: s**(5386\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3 + (-35)\/(-49). What is the third smallest value in 4, q, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 124*z**2 + 100*z + 185. Let f be r(-124). Which is smaller: -12216 or f?\nAnswer: -12216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, z: 2, j: 3, t: 10}. What is prob of sequence ttvz?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365076 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2225\/125 - 19)\/((-1)\/(-2645)). Is -3173 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, 1\/5 in ascending order.\nAnswer: -4, 1\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 10*v - 8. Let b(w) = -w**3 + 8*w**2 + 8*w + 2. Let t be b(9). Let a be y(t). Differentiate x**2 + 10 - a - 12*x**2 + 11 with respect to x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4 - -2)*1. Let h = -18.49 - -2.09. Let i = 16.6 + h. Which is the closest to q? (a) i (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/3*(53208\/2304 + -23)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -466.518 - 0.482. Let t = y + 467.00823. Round t to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2*w - 84. Determine b(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 33. Let q be d(15). Sort -3, -1, 0, q in increasing order.\nAnswer: -3, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*d + 623392 = 771*d + 3849*d for d.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-60)*(-13)\/(637\/(-56)). Which is the nearest to -1\/2871? (a) 4 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 + (-286)\/(-9). Suppose 2*w + 3*c = 27, w = 4*w - 4*c - x. What is the greatest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(209) + 4*5*sqrt(209))*2)\/((sqrt(99)*1)\/sqrt(9) + sqrt(11)*3*4))**2.\nAnswer: 1206576\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:12 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-1 + sqrt(847)).\nAnswer: -15 + 165*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8719, -8718, -8717?\n\"Answer: h - 8720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -2*v, -20 = -3*v - 8*o + 10*o. Solve 3*y + v*x = 13*x, -4*y + 3*x = -11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**3 - 8*p**2 + 28*p + 4. Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 32 = 24. Suppose 0 = 9*s - 10*s + 46. Calculate the smallest common multiple of s and ((-88)\/2)\/(4\/(-1) + w).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-30 - -11 - -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 5*w)*((-2 + 5 - 1)*(0*w + w - 4*w) + 2*w - 3*w - w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22929111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -2466, 4 in decreasing order.\nAnswer: 4, -5, -8, -2466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14793 - -16129. Is g a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 3*h)*(h - 3 + 3) - 19*h**2 - 5 + 5.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -27, -6, -14, 2 in descending order.\nAnswer: 5, 2, 1, -6, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 359897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(1 + g - 1)*(-8 - 3 - 9) - 2*g - 2*g**2 + 2*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192725, -385461, -578197, -770933, -963669?\nAnswer: -1156405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let s(t) = -2*t**2 - 2*t - 4*t**2 + 2*t**3 - t**3 + 15 - 5*t**2 + t. Let u be s(11). Solve b*j + 4*i + 21 = i, u*i = -2*j - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeceecceeeaece. Give prob of sequence ae.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 3 + -5 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s + 20. Let w = 9 + s. Suppose 0 = -b + 3*j - 2 - 1, 30 = 3*b + w*j. Do 7 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, and 1 l when three letters picked without replacement from iiciiwcfwl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-10)\/b))*b**(-1\/8))\/((b*b\/((b*b*b**9*b)\/b))\/(b*b*b**9*b)) assuming b is positive.\nAnswer: b**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07879 greater than -3028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/1*(-25)\/600*-24.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*l - 6*l + 28 = 0, -2*l + 2 = -2*j. Suppose -82 = -j*r - 278. Let v = r + 83. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 10*k**2 + k - 8. Let n = 13 - 3. Let b be s(n). Let a(h) = 3*h**3. Let d be a(1). Solve 3*m + 2*i = -17, b*i - 3 = 4*m - d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*l)*((-1 + 2 - 2)*(-4 + 4 + 2*l) - 3*l + 2*l + 2*l + 5 - 3*l - 5).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-133)\/77) + 9.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g - 14. Let m be h(-7). Let a(v) = 3*v**2 + v + v**3 - 4*v**2 - 2*v**3. Let s be a(m). Solve -w + 2*w + 5 = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 5*b - 7 = 2*r, 5*b + 11 = 2*r. Suppose -12*k - 10 = -17*k. Put r, -3, k, 0 in ascending order.\nAnswer: -3, 0, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let l(z) = 103132130*z. Give l(k(f)).\nAnswer: -103132130*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303436?\nAnswer: 2, 7, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:47 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-27))\/((-33)\/1287*13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + -466375?\nAnswer: -466431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 - 18 = 0. Solve f = 7*v - 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 10*d**2 - 14*d**3 + 8*d**2 - 15*d**2 + 1 to s*d + f*d**2 + n + i*d**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - 6*d - 6*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20248 is divided by 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 80510 divided by -4418\nAnswer: -40255\/2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 571764 - -749?\nAnswer: 572513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.23 - 48.17. Let f = o + 60. Let b = -9 + f. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:18 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4133 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - f - f + 210 = 0, 0 = 4*q - 3*f - 280. Suppose -35 = -15*a + q. Suppose -83 - 78 = -a*v. Is v not equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, i: 3, f: 8}. Give prob of picking 3 i.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81056, 81147, 81238, 81329, 81420, 81511?\n\"Answer: 91*g + 80965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 = -k. Sort 5, k, 2 in ascending order.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8530865353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -135, -190, -267, -366, -487?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 538106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-81)\/(-4))\/(((-1215)\/79320)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 1, j: 1, g: 1, s: 2, x: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)*w)**(-3\/11) assuming w is positive.\nAnswer: w**(-27\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -l. Suppose 6855*f**3 - 5*f - f**l - f - f**5 + f**4 - 6848*f**3 = 0. What is f?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - -0.9. Suppose -9*z - l + 10 = -6*z, -3 = -3*l. What is the third smallest value in g, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*i + 52 + 10, -3*o - 26 = -i. What is the greatest common divisor of i and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(57)\/sqrt(3) + 2 + sqrt(19) - (-1 + sqrt(19)*1)) + 1*4*2*sqrt(931)*-3)**2.\nAnswer: 3078*sqrt(19) + 555660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1330*h - 121. Is n(3) a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 1. Let v(o) = o - 92318. What is m(v(p))?\nAnswer: 3*p - 276953","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 32 + 52\/3*z + 2\/3*z**2 = 0. What is z?\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wssswwwwwswwswsswsws. What is prob of picking 3 w and 1 s?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 120*g**2 - 683*g - 222. Let i be k(-115). Calculate the greatest common factor of 114 and i.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 16. Solve -v + j = 3*y + 2, -4*y = -2*v - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 8*l - 16 = 0. Solve -4*q = 4*o, -4*o - 12 = -l*o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - 9) + (-16 - 9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 13 = 5*l + 15, -19 = 4*d + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 488, 912, 1352, 1814, 2304?\n\"Answer: y**3 - y**2 + 410*y - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9864 + 9864 - 749*a - 56*a.\nAnswer: -805*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 83*x - 83*x)*((-2 + 1 + 3)*(-4 + 3 + 2) + 3 - 5 - 4).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/2)\/((-3)\/(-4)). Suppose 2 - b = -4*w. Let u(o) = -o - 1. Let n be u(w). Which is greater: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Let t(n) = c*n + 0*n - n. Let o(h) = -4*h. Calculate o(t(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 18*t**2 + 12. Let j be c(-18). Calculate the highest common divisor of 18 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.093, 4\/5, -2\/205, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -81.02. Let z = j - -2.04. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)\/(4\/6). Suppose -b = -5*y + 27. What is the second derivative of 0*g**3 + y*g + 0*g**3 + g**3 wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 29*r**3 + 6*r**2 + 7*r - 65. Let c(d) = 17*d**3 + 3*d**2 + 4*d - 34. Determine 7*c(v) - 4*t(v).\nAnswer: 3*v**3 - 3*v**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - -7) + -5 + -4 - -6) + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17300244 divided by 5\nAnswer: -17300244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5934 - -5937. Solve -5*q - 20 = -b, -4*q - 22 = -l*b + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12546.8 and 18.487?\nAnswer: 12528.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 728, 1123, 1528?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 11492 + 2*w + 4667.\nAnswer: -w + 16159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5852 - 43.0911378.\nAnswer: -5895.0911378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/13*((-10)\/(-3) - 3). Solve -r - o = -g*r, 0 = 5*o - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3578, 3630, 3726, 3860, 4026, 4218?\n\"Answer: -a**3 + 28*a**2 - 25*a + 3576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(19 - 9 + 29 - q).\nAnswer: 2*q - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 91, 86, 85, 94, 119, 166, 241, 350?\n\"Answer: f**3 - 4*f**2 + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 89492104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*v + 1243 = 3643 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzqh when four letters picked without replacement from {b: 1, m: 1, q: 1, h: 1, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(3) - 1*sqrt(3))*-5*2 - (sqrt(27)\/(3*sqrt(324) - sqrt(9)))**2).\nAnswer: -18\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.3, 3, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405 + 210*p**3 - 228*p**3 - 405.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.9 to 1 dp.\nAnswer: 21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from vdowv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 208. Let i be 50\/q - (-1)\/4. Let s = -42 + 40. Which is the second biggest value? (a) i (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 >= -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 86.86. Let h = u - 3.86. What is the biggest value in h, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 4*j - 2. Let q be v(-2). Let f(c) = c + 10. Let l = -10 + 3. Let b be f(l). Solve -h + b = -q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 6 - 2*i - 18*i**3 - 24 - 3*i**5 + 2*i**5 wrt i.\nAnswer: -20*i**3 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*d + 168 = 95*d. Let n = -41 - d. Let h(y) = 3*y**3 + y - 1. What is the units digit of h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 14*f**5 + 18*f**4 + 4*f**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -13.8. Let v be 3025\/2915 + (-12)\/318. Put x, v, 1\/2 in increasing order.\nAnswer: 1\/2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.001982 - 5.\nAnswer: -5.001982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 220*j**2 - 688*j - 464 = 0 for j.\nAnswer: -2, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 - 276784*w**2 - 2490764*w - 2213984 = 0 for w.\nAnswer: -69187, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 27*g**2 + g - 2. Let b be h(2). Let l = 504 - b. Let n be 2\/4 - 234\/l. Put n, -1\/2, -5 in descending order.\nAnswer: n, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1.4 (c) 2\/9 (d) 0.2 (e) 0.18 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 110421321?\nAnswer: 110421403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11741, -11765, -11787, -11807, -11825?\n\"Answer: x**2 - 27*x - 11715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107496 (base 14) to base 3.\nAnswer: -1001100100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1793375\nAnswer: 2\/1793375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**(-15)*q**(-5\/4)*q**(2\/19) assuming q is positive.\nAnswer: q**(-87\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Let u be (l\/(-10))\/((-2)\/8). Suppose -n = -2*j - 3*n - 10, j - u*n = 7. Put 4, 3, j in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/13)*s)\/s)**(5\/2)*(s\/(s\/s**(-10)))\/(s\/(s\/(s\/(s\/(s*s*((s\/s**(-15))\/s)\/s*s)*s)))*s) assuming s is positive.\nAnswer: s**(-647\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2396*y - 43165. What is p(-18)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 919 + -741. Let g = -18 + 17. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 27, 4, 2\/19, -0.2, 9574.\nAnswer: -0.2, 2\/19, 2, 3, 4, 27, 9574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/68 and 67\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, w: 7, t: 1, z: 5}. Give prob of picking 3 z and 1 w.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 7. Let m be (o\/(-3))\/(3\/((-3)\/(-1))). What is the units digit of m\/(-6) - (-6867)\/54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkowdlkd. What is prob of sequence dkld?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 2129?\nAnswer: -33\/2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 856 + -832. Suppose -80 = -4*v + 4*y, -4*v - t*y + 19*y + 80 = 0. Solve 8*r = 3*r + 4*g - 20, 2*r - 4*g = -v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l. Let d be (-26)\/(-2) + -14 + (-5 - -10). Solve l = d*q - 11 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 - 0.03. Let h be 55\/363 - (-1)\/(-11)*-2. Which is the closest to 0.1? (a) h (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - k + (-108*k - 122*k + 86*k)*(-1 - 2 + 9).\nAnswer: -865*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 minus 2.86?\nAnswer: 128.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1334, -0.2, -2?\nAnswer: -1334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032323997 to six decimal places.\nAnswer: -0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.36 + -0.36. Let u be 9\/((-540)\/(-44)) + (-4)\/10. Which is the second biggest value? (a) 7 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 9:40 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 179 = 78*s - 1208 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 197290 and 15805.\nAnswer: 5721410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496982 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -346, -1361, -3044, -5395, -8414?\n\"Answer: -334*o**2 - 13*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/65*((-12)\/(-14))\/(-3). Let o = -1021 + 1023. What is the third biggest value in -60, o, w?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31807 - 16561. Is 242 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let y = 9 - w. Solve -15 = 5*o - y*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 + (1 - -2) - (1588 + -1580)) + 1.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j - 5. Suppose -9*g = -26 - 1. What is the smallest common multiple of 8 and a(g)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11972\/(-1752))\/((-17)\/(-34)*(-2)\/(-12))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - 127. Find the second derivative of -17*l + 16*l - y*l - 144*l + 106*l**2 wrt l.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8312, -8256, -8170, -8060, -7932, -7792, -7646, -7500?\n\"Answer: -a**3 + 21*a**2 - 8332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*u**2 - 1 + (-73*u + 15*u**2 + 73*u)*(-1 + 2 + 0) as q*u + f + a*u**2 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/7 and -53\/58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -3 (c) -44 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 153 - 1273 + 557*b + 1115 + (3*b - b - b)*(b - 1 + 1).\nAnswer: -b**2 + 557*b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssssbsstssbsttt. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32584633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -95817, -95840, -95879, -95934, -96005?\n\"Answer: -8*f**2 + f - 95810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -126. Let r(x) = 4*x + 285. What is the hundreds digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 58 - 17 = 0. Which is bigger: p or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + (0 + sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252)))*-2 - (-1*sqrt(252)*1 + sqrt(252))*-1) + 4)**2*-5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 62*m**3 + 763*m**2 - 16*m - 21. Let j(l) = 12*l**3 + 151*l**2 - 3*l - 4. Give -11*j(o) + 2*p(o).\nAnswer: -8*o**3 - 135*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/566950 and 111\/10.\nAnswer: 566950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, -0.12, 7, -4\/3, -205.74?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 5, -55, 2\/39, -1.1, -273?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 191.97. Let k = o - -0.9685. Round k to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 8*j - 1249 + 1243.\nAnswer: 10*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -656877410 rounded to the nearest 1000000?\nAnswer: -657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r = 44. What is the remainder when 97 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2875*d + 612*d + 1171*d.\nAnswer: -1092*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58685023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t = -53*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(6\/32). Let t be (-212)\/(-16) - (-2)\/h. Suppose 2*g - t - 50 = -5*v, 36 = g + v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0 - (0 + sqrt(500) + sqrt(500)))**2 + (sqrt(225)\/sqrt(36))\/sqrt(5).\nAnswer: sqrt(5)\/2 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1575 and 1800?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 55*l**2 - 2. Let b(u) = 2*u**3 - 54*u**2 - 4. Let i(n) = 3*b(n) - 2*r(n). Differentiate i(q) wrt q.\nAnswer: 6*q**2 - 104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61715740*h**4 - 78892704 wrt h.\nAnswer: -246862960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/((-187)\/(-1496))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/3 + 15592*j**2\/3 - 124544*j\/3 + 248960\/3.\nAnswer: -4*(j - 3890)*(j - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221716 divided by -315.\nAnswer: 221716\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 1, r: 5, e: 1, f: 2, v: 2}. Give prob of picking 1 f, 1 e, 1 r, and 1 b.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382847*i = 382820*i + 2299347. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 27376.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214 + -41. Let p = 172.99999923 - u. Round p to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19358439610 and -450.\nAnswer: -19358440060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -4435.\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:01 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20656, -20681, -20706?\n\"Answer: -25*s - 20631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 1:26 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from hcvvccchvccc?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0.24777.\nAnswer: -2.24777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 346058887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 - 4*j**3 + 9*j**3 - 143 + 291.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 + -6.86. Let r = 6 + n. Sort r, 4\/3, 2\/7 in decreasing order.\nAnswer: 4\/3, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 8. Let d be s(11). Suppose -y - d = 2*y. What is the units digit of y - -2 - -1*8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 3*x + 19, -c + 4*x = -14. Suppose -c*w + 5*w = 12. Do 1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62787 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 - 6*d + 4. Let m be f(6). Let v be (1242\/299 - 4) + 3\/((-39)\/(-4366)). What is the derivative of 336*u + 23*u**m + 14 - v*u wrt u?\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3180 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 1)*(-1 + 2 + 1)*(0 + 0 - 1)*(-3*z**5 + 2*z**3 - 2*z**3).\nAnswer: -18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5738195 to the power of 1\/2, to the nearest integer?\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 56*f**3. Let c be h(-1). Let i = -26 - c. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 42*z**2 + 6*z - 6*z to j*z + o + h*z**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(78\/(-13))\/(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 4*j**4)*(-4*j - 5 + 5).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 162. Let w = n - -518. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let w = -3 + 6. Suppose -w*l + 22 = 1. Let x(v) = l*v - v - 5*v. Give x(m(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r - 1381680 + 1382347 = 0 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 1487?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2177 and 4.\nAnswer: -0.8708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13554165, 13554164, 13554163, 13554162, 13554161, 13554160?\nAnswer: 13554159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a6 - 0?\nAnswer: 2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-166)\/(-8) - 4\/(-16). Suppose f = -r - 17. Is 26 a factor of (-732)\/(-14) + r\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*j + 328, -7*j + 2*j + 844 = 2*a. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 2, o: 2, t: 1, u: 2}. Give prob of sequence umo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/9)))\/(a**(-2\/13)*a)*a**(-16)\/(a*a\/a**(-8)) assuming a is positive.\nAnswer: a**(-3128\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -53, 0.2, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.504022cm?\nAnswer: 5040.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -193 - 44. Suppose 0 = 4*b - 5*z - 242, -3*z + 15 = -b + y. Is 1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - m**3 - 4*m**3)*(23*m**2 + 12*m**2 + 15*m**2).\nAnswer: -100*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + 19*r - 27*r**3 - 10*r.\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33393 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, -3 in decreasing order.\nAnswer: -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 317951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16085 - 32162 - 5*l**2 + 16077.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -37. Let c be (-1)\/(-3 + u) + 4\/8. Put 6, -3, 0, c in decreasing order.\nAnswer: 6, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 - 14 + 29 + 11)*(15 - 3 + 17) + 0 + 4 - 1)*(v + v - 4*v).\nAnswer: -1050*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4285341 is divided by 97394.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 1, 4*x = g - 5. Let l be (-21 + g)\/2 - 2. What are the prime factors of ((-10)\/6)\/(2\/l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-9))\/y**4)\/((y*y**(-2))\/y**15) assuming y is positive.\nAnswer: y**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 10 + (4 + -22 - (10 - 6)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(52\/156). Put -3\/20, y, 3, -7 in descending order.\nAnswer: 3, -3\/20, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.048g to nanograms.\nAnswer: 597048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46427\/9580 - -9\/2395. Let y be (-1)\/(7\/((-339969)\/(-6))). Let q = 105174\/13 + y. Find the common denominator of q and k.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060785201 less than 10752?\nAnswer: 10752.0060785201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -20*(-2609)\/24*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = -x - 4*t, 5*t + 22 = x. Let m = 690914 - -257091. Suppose n - m = -4*v, -5*v - x*n = -v - 948010. Round v to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + 0 + -17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2 = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-3)*27\/(-18))\/((-7)\/70*5)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4738621677?\nAnswer: 3, 1579540559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffdrffrrfdd. Give prob of sequence frd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 11. Let f be x(10). Let h be f\/2*(-17 + 7). Suppose 3*d - 2 = -4*q, -2*d = -4*q + 6 + 6. Sort h, 0, d in increasing order.\nAnswer: h, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*s - 510*s + 4*h = -4, -5*s = -h + 65 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91863 + -91862. Let r = -27\/238 - 1\/34. Which is the nearest to -2\/5? (a) g (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/6 - 2*j**5\/5 + j**4\/2 + 4*j**3\/3 - j**2\/2 - 2*j - 37. Factor a(h).\nAnswer: -(h - 1)**2*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (1 + 2 + -6). Let r = 2 + x. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3224 and 76\/(-874) - (-6 + 84880\/(-115)).\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 982728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14559*b**3 + 20483*b**3 + 1704*b**3 + 37000*b**3.\nAnswer: 73746*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*w - 980 = 170 + 215. Let x(n) be the first derivative of 0*n**2 + 49\/3*n**3 - n**4 + 0*n + 7 + 7\/5*n**w. What is the third derivative of x(p) wrt p?\nAnswer: 168*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((8\/10)\/2)\/((-6)\/(-480)). Let m = -49 + c. Let x(o) = o**3 - 3*o**2 - 2*o - 2. Let g be x(-2). Do m and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*u = -145*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105256 + 105260. Factor -14\/17*s**2 + 8\/17*s + 4\/17*s**3 + 0 + 2\/17*s**y.\nAnswer: 2*s*(s - 1)**2*(s + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -13*u**2\/6 + 41*u\/6 - 1.\nAnswer: -(u - 3)*(13*u - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:39 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.6, -2, 2\/201, 3?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-1\/22)*o*o)\/o)\/o)\/o*o)**(-1\/20)\/(o**(2\/3)*o*o\/(o**11*o)) assuming o is positive.\nAnswer: o**(12257\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84b - 5?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178652167 divided by -17.\nAnswer: -10508951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - -2a57002?\nAnswer: 2a56b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(432) + -2 + -4)*-1)**2.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h - 30. Let y(k) = -k - 1. Let s(j) = -j - 7. Let n(r) = s(r) - 3*y(r). Determine n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 - d + 1. Let k be z(1). What is the tens digit of (37\/3)\/(k\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r - 4*k, -5*r - 4*k = -0*k - 55. Suppose 0*o + r = 5*o. Suppose 5*l - 5*h + 26 = 6*l, -31 = -2*l - o*h. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97649*o**3 - 841231*o**2 + 841231*o**2 + 3546*o**3.\nAnswer: -94103*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769054.9 decades to years.\nAnswer: 7690549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*((-30)\/(-35))\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utucugacnucaututctg. Give prob of picking 3 u.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhvh when four letters picked without replacement from {h: 10, v: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (856\/12)\/((-24)\/(-36)) + 27 + 69\/(-3).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.053533 and -0.1.\nAnswer: -0.5053533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10 = 2*g + 6*f, 0 = -2*f. Suppose -4*t = -g*j + 2211, -t - 4*t = 5*j - 2220. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9, -5*r = -t - 13 + 1. Suppose -4*a - 19 = 3*x, -4*x = -5*a + 12 + 3. Sort x, t, 2 in descending order.\nAnswer: t, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.14. What is the fourth biggest value in -5, a, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 13437465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*n - 4*m - 375, -m = 0. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 8 = 24*d. Let i(h) = 4 - h**3 - 3 + h**2 + 3*h**2. Determine i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**3 - 1718. Let o(q) = q**2 + 119*q. Determine n(o(r)).\nAnswer: 3*r**4 + 714*r**3 + 42483*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (13 - -4) + 14 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 743899.8ml in litres?\nAnswer: 743.8998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5103822441.\nAnswer: 3, 1701274147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, 5, 20413, -6 in decreasing order.\nAnswer: 20413, 5, -1, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.5. Let z = 0.8 - g. Let j = -3 + 3.1. What is the third smallest value in 2\/17, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/5 + 183*g**3 - 646128*g**2\/5.\nAnswer: 3*g**2*(g - 336)*(g + 641)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*q + 2*q = -1, -2*q + 10 = 4*t. Let n(x) = 29*x + 2. Let p be n(t). Calculate the highest common factor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938554309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-45)\/(-20) - -2. Suppose 3 = 2*u + 13, -4*i + 1349 = -j*u. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(10\/4 - 4). Suppose 4*z - 160 = -h + 84, -4*z - t*h = -256. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 5*j - 18. Let d be b(8). Let h be d\/4*7\/(42\/124). Suppose -5*w = 4*i - h, -2*w - 3*i = w - 18. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58692 and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19\/(190\/40) + 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -22, -31, -38, -43, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565 + 955 = 10*q. Is 42 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 1. Let z be k(-1). Let l = z - 13. Let a = -6 - l. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 7. Let k be y(0). Suppose -k*p + 11*p = -176. Let o be (1*(32 + 0))\/(46 + p). Solve -t + 5*z - 9 = 0, 1 = -4*t + z - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 13400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -27. Let a be 2*2\/4 + 1. Suppose 0 = -5*g + a*g + r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c - 21 = 0, -8 = -4*h + 5*c + 31. Let j be (h\/12)\/(1\/10) + -3. Solve 3*i + 3 + j = 5*v, v + 2 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7744 and 3025.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from akkkakkkkkaaa.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3975)\/(-159)*(-1)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*i - 30 = 0, 2*x - 4*i = 2 - 6. Let s = -13 + 17. Let q be 64\/s - (3 - 2). Calculate the highest common divisor of x and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.5, -0.4, -0.1, -18.4, 2?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365906 is divided by 455271.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27725, 65, 5, 3.\nAnswer: -27725, 0, 3, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(153)*2 + ((5 + 0 + sqrt(17) + sqrt(17))*5)**2.\nAnswer: 506*sqrt(17) + 2327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5936?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*b = 39, 0 = -71*y + 69*y - 5*b - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.35 + -31. Let y = z + -0.55. What is the closest to -1 in 4, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*f = 9, 4*f = 16*s - 14*s + 26 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143477085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 8*r**2 + 6*r - 4. Let p be c(-7). Suppose j - p*n = 47, 0 = j + 2*n + 2*n - 12. What is the remainder when 61 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 0.4 (b) 0.3 (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 228141, 456284, 684427?\n\"Answer: 228143*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -379.5 - -380. Let d be 2 + -1 - 7\/5. Which is the biggest value? (a) u (b) 4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u\/(((u*u**(-1\/2))\/u)\/u))*u**(-1)*u)**(-3\/37))**(4\/17) assuming u is positive.\nAnswer: u**(18\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2259)\/(-502)*2\/21\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376780.1 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 9. Let h be u(4). Let q = 23 + 4. Suppose a - v - 3*v = 16, 3*a - q = 5*v. Sort a, h, -5 in decreasing order.\nAnswer: h, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3651 + 8.19758174\nAnswer: 3659.19758174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/207 and 19\/12?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 109. Let l(z) = -109. Give 3*g(v) + 4*l(v).\nAnswer: 3*v - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4 + 5 - 3 + 2899998*u. Let i(f) = -f. Let g(t) = 3*i(t) - k(t). Let d be g(2). Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -157941207?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 156*n = -909. Solve 0 = 58*t + n*t - 469 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(1216)*-1 + -4)**2.\nAnswer: 144*sqrt(19) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c + 18 - 18)*(4*c**2 + 8*c**2 - 5*c**2 - c**3).\nAnswer: 13*c**4 - 91*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 774 by -43.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 454?\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0379381966 rounded to three dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/9, 7, -3, 38\/245?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67132, -268489, -604086, -1073923, -1678000, -2416317, -3288874?\n\"Answer: -67120*i**2 + 3*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 > 425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*-4*1*-5*5*sqrt(208)*2*-5)**2.\nAnswer: 2496000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r = -11*r + 281 - 2444. Solve -r*a + 119*a = 48 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4991*q + 2500*q + 2507*q + 24)*(-2 + 4 - 4) to r + h*q and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Let a be 1\/(-2 + 9\/g). Let q(h) = h**3 - 3*h**2 - 21*h + 24. Let f be q(6). Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/71620 and 24\/1375?\nAnswer: 19695500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001036369 to six dps.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + ((-18)\/15 - 2). Let u = -128 - -125. Sort u, -1\/2, y, 0 in increasing order.\nAnswer: u, -1\/2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 8\/(-4) + 2 + 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 40. Let f be ((-8)\/o)\/((-18)\/45). Let t(a) = -a + a**2 - 2*a**f + 0*a - 4*a. Determine t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 98*p**3 - 11*p**2.\nAnswer: -98*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 17 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.86499 to 2 dps.\nAnswer: -36.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 4. Let o(g) = 4*g + 17. Calculate 4*o(u) - 18*s(u).\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1051\/6 + 663\/4. Calculate the common denominator of g and -57\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -34, -51, -68?\n\"Answer: -17*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1209a (base 12) to base 8.\nAnswer: 57366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7576.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**3 + u**2 - 4*u. Let q(y) = -22*y**3 - 4*y**2 + 7*y - 3. Give 2*h(r) + q(r).\nAnswer: -32*r**3 - 2*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 + 3 = 0. Suppose m*v + 6 = 30. Solve 3*j = -3*f - v, -f = -5*j - 4 - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.8 + -71. What is the fourth biggest value in 5, -0.3, w, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1928 = -3*y + 2038. List the prime factors of y.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -25. Let g = v - -2. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-8) + 1\/(-4). Suppose 0*v - 7*v - 28 = 0. Put a, v, 2 in ascending order.\nAnswer: v, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 + 11 - 3 - 83*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(5587 - 276*v - 2798 - 2791).\nAnswer: -552*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**4 + 3*x**3 - 166 wrt x.\nAnswer: -8*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 584. Give y(12).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201096.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 263*l**2 + 6*l - 43. List the prime factors of c(5).\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 225*r + 18. Give x(-45).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.12 - -34. Round v to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4251375 divided by 5?\nAnswer: -850275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11497275*n**2 + 22994561*n**2 - 11497282*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (2\/4)\/(7\/182)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21502330 by -3253.\nAnswer: 6610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2. Let b(k) = -15*k + 9. Let o(n) = -7*n + 4. Let x(d) = 4*b(d) - 9*o(d). Determine f(x(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 3 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*y + 291*y - 125*y - 93*y.\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621104 is divided by 2091?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -7*i**6\/24 - 5*i**5\/12 + 25*i**3\/6 + 463*i**2 - 2*i. Let t(x) = 3*x**3 + 2*x**2 - 2. Determine -2*n(l) - 25*t(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.35 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 6*g + 21. Is p(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 5.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5136 - -7373. Suppose 6*g + 647 - n = 0. Let m = g + -147. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9389 = -10*w - 1829. Let s = w - 514. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 562?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4168 = -6*g + 4072 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 752691897 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 304059893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q - 5. Suppose 0 = 2*j - 7*j + 60. Let l(r) = -14 + r + 4*r + 3 + j*r. Let x(s) = -s**2 + 13. Let a be x(0). What is a*o(p) - 6*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 377 and 5?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = 8*x - 124. Suppose x*u = 108 + 252. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -501206?\nAnswer: -501206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*n - 0 - 8, 12 = 3*n - 5*i. Suppose 15 = n*x - 5. Suppose t - 5*u = -t + 29, -5*t - x*u + 20 = 0. Solve t*o + 12 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22812*q**3*t**3 + 2*q**3 + 196567*q**2*t + 4279*q*t**5 + 285*t wrt t?\nAnswer: 136872*q**3*t + 85580*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9035*b + 6. Let r(s) = 7*s. Calculate r(k(o)).\nAnswer: -63245*o + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*m - 125*m + 8. Let l = -16\/79 - -18\/79. Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 + 4.66216672347.\nAnswer: -218.33783327653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 8\/35 (c) -2\/7 (d) 2 (e) -100 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**9\/5040 + h**7\/2520 + h**4\/8 + h**2. Let l(j) be the second derivative of c(j). Find the third derivative of l(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*t**3 - 81430*t**2 + 238235*t + 37?\nAnswer: -60*t - 162860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c + 2. What is the units digit of t(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.3 in 1\/8, -2, 1, 8\/7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15 (b) -63 (c) -0.5 (d) 4 (e) 3\/7 (f) -3 (g) -7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -16. Let o(l) = -l. Let h(b) = -2*o(b) - y(b). What is the derivative of h(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15475213 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 2*q**2 + 1\/3*q - 1\/3*q**3.\nAnswer: -(q - 1)*(q + 1)*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:18 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 0*y**4 - y**4)*(-3 - 2 - 5)*(2 + 6 + 1).\nAnswer: -180*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3177 is divided by 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364, -365, -366, -367?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u - 4*u)*(5 - 1 + 2)*(u + 2*u + 0*u) - u**2 + 4*u**2 - 2*u**2.\nAnswer: -53*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*k + 4 = -5, 4*o + 5*k = 3. Suppose -384 = a - o*a. Let z = -218 + a. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199199743 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 0*p)*(-194 - 90 - 35).\nAnswer: 957*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 2*p + 7. Calculate m(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1486775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502985971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 30*n**2 + 660*n - 5. Give k(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**4))\/(s\/(s\/s**3)))**11 assuming s is positive.\nAnswer: s**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1044 * 6300.\nAnswer: -6577200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*w - 3*w. Sort 6, w, 5, 0 in ascending order.\nAnswer: w, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3458*a - 1937. Give z(1).\nAnswer: 1521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {h: 2, w: 1, n: 1, g: 4, d: 3, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 187 = 67. Let i = 41 - n. Find the second derivative of -2*r - 9*r + 10*r**3 + 2*r + i*r wrt r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/3 - 478*p\/3 - 484 = 0?\nAnswer: -3, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39709637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -8, -2, 0.018465, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 362365 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 times -0.3?\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3. Suppose -49 = k - 8*k. Let d(u) = u - 7. Determine k*s(r) + 3*d(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 65 = -57 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (66\/18)\/((-5)\/15) + 13. Solve 4*j - 52 = -5*d - 35, -q*j - 19 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxzuext. What is prob of sequence xxzu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 15 - 7. Let d be 273\/52 - (-1)\/f. Solve d = -3*k - 5*w, 5*w - 3*w - 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**2 - 175*m - 430.\nAnswer: 5*(m + 2)*(4*m - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(42\/20)*-1*1. Suppose 13*n = r*n - 117. Is -40 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/62 - (-14)\/4 - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1*4\/(-10))*10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 17 = x, -33 - 5 = 14*j + 4*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23784 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: Four letters picked without replacement from cvvvcccvcv. Give prob of sequence cvvv.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(118\/(-590))*18\/(-705)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -6, 364\/3, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 481743017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - d**3 - 3*d**3)*(d + d - 3*d) - 3*d**4 - 3 + 3 + (d**4 - 5*d**4 + d**4)*(1 + 5 - 5).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45655?\nAnswer: 5, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1299221*s**3 + 3*s**2 + 450649.\nAnswer: 7795326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m + 0 - 9*m - 1. Let t(p) = p**3 - 4*p**2 + p - 5. Let g be t(4). Let v be 1 + (-1)\/g + 4. Let o(l) = -8*l - 1. What is v*b(w) - 7*o(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 2*k**3 - 3*k**2\/2 - k - 64. Calculate d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/11)\/(((c*c\/(c\/(c\/c**1)))\/c)\/c)*(c*c**(1\/3))\/(c*c\/(c\/(c*((c\/(c\/c**4))\/c)\/c))) assuming c is positive.\nAnswer: c**(-73\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 23*m + 138. Let o(u) = 1. Let j(y) = k(y) - 138*o(y). What is the remainder when j(2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9954 - -13. Round k to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and (54\/12)\/(4\/48).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 61. What is the biggest value in t, -15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1689 + 503 = r. Let h = r - 1130. Is 59 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16187 is divided by 2022?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5233 + 404?\nAnswer: 10041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 + 29*c**2 + 67*c - 72. Determine g(17).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 28*q - 21*q + 24, -2*o - 2*o - 7 + 41 = 5*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 871487440 to the power of 1\/2, to the nearest integer?\nAnswer: 29521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1 (c) -0.34 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/(-2*sqrt(1152)))\/(sqrt(22)\/((sqrt(121) + 2*sqrt(121))\/sqrt(11))))**2 + -5.\nAnswer: -159\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*h + 177*h + 120 = 0. What is the remainder when (-37)\/(((-2)\/1)\/2) is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 5411.\nAnswer: -5410.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12562 - -13681. Calculate the remainder when r is divided by 317.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**3 + 5*s**2 + 18*s + 1. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3396 - -4?\nAnswer: 339a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39788 by 2.\nAnswer: 19894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.6 + 14. Let z = 5.6 + x. Which is the closest to 5? (a) z (b) -5\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 334 + -173. Suppose -5*v - 31 = -c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:18 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3650*r - 50994. Calculate i(14).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 0, v + 3*v + 2*n - 90 = 0. Solve v*b = 22*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2058 + 2057. What is the closest to -2 in 1, 0.5, g, -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05935539 rounded to three dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:09 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 0*p - 3 + 3. What is the least common multiple of r(-1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -55750 - r**2 - 24*r + 111490 - 55688 = 0. What is r?\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -22 + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209.76 + 1.24. Let k = z + -212. Suppose 2*j + 1 = 3. Which is the closest to 2\/5? (a) -2\/19 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 136185?\nAnswer: 272370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010201 - -10222?\nAnswer: -121222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 25. Suppose -5*a + 4*a = -j. Solve -5*p + 0*p = a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 162*i**2 + 1 - 146*i - 19*i + 48*i**2 wrt i?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, u: 2, b: 1, n: 2}. What is prob of sequence zbz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -0.52. Let m = 0.22 - -0.08. Suppose 12 = -6*s + 3*s. What is the closest to m in s, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 2*s)*(-4*s - 4*s + s) + s**2 - 4*s**2 + 2*s**2 + 0*s**2 + 0*s**2 + s**2 + 4*s**2 - 2*s**2 - 4*s**2 + (-1 + 1 + 2*s)*(0*s + 0*s - s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -24 - 1. Find the third derivative of -2*o**2 + 0*o**5 - s*o**5 + 2*o**5 wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -58*y + 1. Let a(i) = -175*i + 3. Let s(r) = -a(r) + 3*h(r). Let q(k) = -128*k - 2. Determine s(q(v)).\nAnswer: -128*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 1. Let b(t) = -2*t**2 + 3*t + 2. Determine -b(s) + h(s).\nAnswer: 3*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*h - 4, 4*s - 108 = 3*h. Let b be 10\/2*(-4)\/s. Put b, -0.5, -6\/7 in increasing order.\nAnswer: -6\/7, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 475221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 256\/28) + 7878\/1638.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78d (base 14) in base 3?\nAnswer: 2001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2935130 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.19 + 16.99. What is the biggest value in d, -5, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.206*-0.1429015\nAnswer: -0.029437709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssddssssdssdsdsddh?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 2.55 (c) 17116\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 - -102020?\nAnswer: 103022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 - q + 10. Let o be 8\/(2*3\/6). Let z be y(o). Is (-3)\/6*(-180 + z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195275339 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247754 and 243022.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857 - 857.4. Let u be 6\/(-9)*6\/16. What is the closest to u in q, -4, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 67173261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167.33 + 168. Let s = r - 0.670016. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76611913 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*d - 2, -5*d + 0*l - 3*l = 17. Let y = 63 + -251\/4. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(((-3)\/94)\/(-1)). Let y = p - -655\/7. Let h = 2 + -1. Which is the second smallest value? (a) 0.5 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -c - 15, 0 = 4*h - 3*c + 8*c + 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l = 5523, 0 = n + n + l + 2765. Let g = -939 - n. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -t - d - 15, 3*d - 45 = -3*t. Suppose -t*u - 606 + 14216 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/15 - v**4\/3 + 17*v**2. Factor q(t).\nAnswer: -4*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 1159*p**2 - 3 + 5 - 20*p - 1161*p**2 in the form s*p**2 + i + r*p + d*p**3 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-961.\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 z when four letters picked without replacement from ozozoozooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1926090, 3852186, 5778282?\n\"Answer: 1926096*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598877787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8919\/13 at least as big as -685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2563, -13239, -31031, -55939?\nAnswer: -87963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose -2*i = 2*d + 6, -6 + 0 = 2*d + n*i. Is 9\/(81\/6) - 130\/d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9.8 (b) -2\/7 (c) 1\/5 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d + 15*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 3. Let t be (-3)\/r + -1 + 2. Which is the fourth biggest value? (a) t (b) 5 (c) 0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*l - 21 + 19, 57 - 1 = 27*x - 2*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 1 + 0 - 14*p**2 - 23*p - 356*p wrt p?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12c42 (base 15) to base 4\nAnswer: 32223221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 2:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m**(-4\/5)*m*m assuming m is positive.\nAnswer: m**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 9:19 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. What is the derivative of 0 + 1 - l - p + 8 wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/k**9)\/k))**(-3))**(-9\/2))**(-3\/2) assuming k is positive.\nAnswer: k**(-405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 - 2*s**4 - 3*s**4 + (-10*s + 0*s - s)*(s**3 - 4*s**3 + s**3) to the form b*s**4 + n*s**3 + t*s + p + l*s**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 106*n**3.\nAnswer: -2*n**3*(n - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441020 (base 5) in base 10?\nAnswer: -46385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 x when four letters picked without replacement from xllxggxgxxxlllgggog.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-1)\/((-1)\/243). What is the tens digit of (1\/2)\/(8\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 7107*r**2\/2 + 99400*r + 2086714\/3.\nAnswer: (r + 14)**2*(r + 21293)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(0 - (-5)\/3). Suppose t - 6*t + r = 0. Find the first derivative of 4 + t - 3 - 3 + f**2 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 567, 580, 607, 654, 727, 832, 975?\n\"Answer: d**3 + d**2 + 3*d + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09975 plus -8.1428?\nAnswer: -8.04305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 107 = y, 0 = -y + 6*y - 5*z - 610. Let t = y + -62. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5 and 10\/(-15) + 624\/90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2548254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 1, e: 2, i: 1, k: 1, f: 1}. Give prob of picking 1 k, 1 i, 1 f, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:05 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**18*(i*i\/(i\/i**6)*i)\/((i*i\/(i**(-1)*i))\/i) assuming i is positive.\nAnswer: i**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181339 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 5*h**2 + 7*h + 2. Is t(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-148)\/(-30))*3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 40, 62, 86, 112, 140, 170?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 9 - 35 = -b + 5*b, 0 = 13*r + 3*b - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) + (sqrt(600) - -1*sqrt(600)))\/sqrt(10))\/sqrt(6))\/(sqrt(180)\/sqrt(4)*-4).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2709*c**2 + 7244*c**2 - 6*c + 1453*c**2 + 2.\nAnswer: 11406*c**2 - 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -2\/5, 2 in increasing order.\nAnswer: -3, -2\/5, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8994081 and 26982243?\nAnswer: 26982243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4553426.3506 and 42.\nAnswer: 4553468.3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. What is the remainder when 39 is divided by i(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*s + 2264 = 476*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 4 = 2*t - 360*n + 367*n + 11, 8*t - 68 = 3*n for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*y - 4*y + 5*y = 8, -40*a - 4 = -41*a - 29*y + 34*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**4 + 3*a - 51*a**2 - 12 + 47*a**2 + 15 to the form d + i*a**3 + g*a**2 + w*a**4 + r*a and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-2*s**2 + 6*s**2 - s**2) + (-2*s + 4*s + s)*(65*s - 22*s + 143*s)*(-1 + 2 - 3) to w*s + n*s**2 + k and give n.\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4\/5, 1.6, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(704))*-4 - sqrt(704)) + -5)**2 + ((-3*(sqrt(704) + 1)**2 - sqrt(704)) + sqrt(704) - sqrt(704)*1*-3).\nAnswer: 696*sqrt(11) + 15566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5 - 1 + 6 - p. List the prime factors of f(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 2494956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 10*p - 5. Calculate the remainder when x(7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(w*w**27)))\/w**(1\/17))**(2\/41))**14)**(-6\/29) assuming w is positive.\nAnswer: w**(-79800\/20213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 754500858 and -63.\nAnswer: 754500795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 20 = -5*n + 10, 5*w = -4*n + 6. Solve 20 = -t - 5*x, 5*t - 3*x + 20 - n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 take away -11422334?\nAnswer: 11422333.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + cc9c24?\nAnswer: cc9c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 20*k - 7*k + 11 - 3 - 4*k. Let s(l) = -4*l. Calculate m(s(p)).\nAnswer: -24*p + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 893149993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/30 + (-121110)\/450. Let y = 542 + j. What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**4 + 48\/5*r**2 + 96\/5*r + 18\/5*r**5 - 64\/5*r**3 + 32\/5 = 0. Calculate r.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - h**2 - 25*h**3 + 2*h**4 + 21*h**3 - 2 + 5*h**3 + 8*h in the form y + x*h + a*h**4 + c*h**2 + n*h**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 94*w + 38*w to the form v*w + j and give v.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 40*d**2 + 308*d - 282. What are the prime factors of f(-50)?\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201643.44 months to decades.\nAnswer: 1680.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 5*f - 0*f. Let k be -7*(43 - -1)\/(-4). Suppose -4*o = f - k. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -61.251.\nAnswer: -56.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*56\/((-5208)\/713)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 4*y - 4*i, -5*y - 230 = -0*y - i. Is 0 - y*(-485)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - d - 3, -t + 0 - 9 = 3*d. Suppose -5*l + t*l = 0. What is the third derivative of -2*q**2 + 0*q**2 + q**5 + l*q**5 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p + 3. Let m = -2 + 2. Let g be u(m). What is the third smallest value in g, -0.9, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11045, -44166, -99367, -176648?\nAnswer: -276009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/255)\/(2\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q - 50 = 103 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.2 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-8)\/(-2))\/4)\/1. Let g be (u + -4)\/((-2)\/(-54)). Let w = -48 - g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*p - 10, 3*l - 5*p + 0 = 4. Let x be (-2)\/(l\/8*2). What is the greatest common factor of 6 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 46. Let j(s) = s**3 + 11*s**2 + 10*s - 21. Let v be j(-10). What is the remainder when d(v) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 340073, 339959, 339841, 339719, 339593, 339463, 339329?\n\"Answer: -2*h**2 - 108*h + 340183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676 = 225*h - 1851 - 1198 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 14) to base 16\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101 + -111010?\nAnswer: 100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.21 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 9*v - 162. Let i be (-8 + 2)\/((-9)\/v). Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-4*u**2 - 2*u**2 + u**2) + 3708*u + 141*u**2 - 3708*u.\nAnswer: 131*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52385287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*z**5 - 2*z**4 - 1954*z**2 wrt z.\nAnswer: -4020*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q - 2. Let t = -4.8 - 1.2. Let s = t - -3. Put 2\/3, s, q in ascending order.\nAnswer: s, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121987*o - 69 = 121984*o + 18*d, 5*d = -25 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.067 + 14.953185. What is z rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -9*p - 41. Which is the closest to p? (a) -3 (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(7\/4)*f)\/f**(-6))\/(f**7)**(2\/9) assuming f is positive.\nAnswer: f**(259\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 324407805 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -9d?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226944, -227127, -227310, -227493, -227676, -227859?\nAnswer: -228042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.2 - 23. Put n, 0.06, 1 in descending order.\nAnswer: 1, n, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -53.31. Let t = u + 0.01. What is the second biggest value in -0.5, t, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 27*m - 22*m - 12 + 6 - 10*m**2.\nAnswer: -10*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1055? (a) 0.5 (b) -0.01 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 24, 40, 60, 84, 112?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-168)\/(-63).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.27 or -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20628\/45 + (-2)\/5 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 42*i**2 + 458*i + 28. Calculate t(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 15. Let h(b) = -3*b + 4. Let y(q) = 3*h(q) - j(q). Let d(c) = -2*c - 1. Determine 7*d(x) - 3*y(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 7*t**4 - t + 11*t**4 + t wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -n - 2, n + w + 14 = 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13944 - (-9)\/((-126)\/70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (20 + -40) - -38?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + 3*w - 15 = 0, -7 = -m + w. Suppose -p + 10 - 37 = 0. Let a be (-21)\/p + 2\/m. Is a bigger than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116)\/(-290)*(30\/33)\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 89*m**2 - 1258*m + 5. Give z(15).\nAnswer: -2215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -29*w - 26, -37*w - 2*m + m = -39*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 274*p - 1659. Calculate v(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-6)\/(1*sqrt(8)*-1) + (2 + (-1*sqrt(3) + sqrt(3))**2 - (0 + sqrt(3))*2) + -1 + sqrt(363) + 1.\nAnswer: 2 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*f**3 - 1171*f + 2 + 1171*f)*(-57*f - 87*f + 111*f).\nAnswer: 3828*f**4 - 66*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5 = s. Let j = -2 + s. Suppose 14 = -4*v - 5*a, -3*v = -a - a + 22. Put j, v, 1 in decreasing order.\nAnswer: 1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3143902 - -4.\nAnswer: 4.3143902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 - c. Let w(n) = 2*n**3 + 11*n**2 + 12*n + 107. Let r be w(-6). Let v(p) = 7*p**3 + 9*p**2 - 4*p - 2. Determine r*v(m) + 5*d(m).\nAnswer: -2*m**3 - 4*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 6, -6, -24, -48, -78, -114?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21521, 43002, 64483, 85964, 107445, 128926?\n\"Answer: 21481*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868822097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiy when three letters picked without replacement from {e: 1, p: 1, i: 2, r: 1, q: 1, y: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -151153?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4217 is divided by 1570?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**2 - 143*f**2 + 51*f**2 + 49*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -54. Let q = -4.12 + 145.12. Which is the second biggest value? (a) s (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155619878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -2*d, 8*u - 3*u - 30 = 4*d. Let o = -4 + u. Solve -3*v - 4 - o = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 8*l + 8. What is the least common multiple of 411 and t(-5)?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*a + 3*c, 5*a - 6*c + 109 = 126 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242429729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 8*n**2 + 3*n - 3. What is the remainder when b(-6) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 3*h**2 + h + 2. Let b be d(-3). Let z = b - -6. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400219639?\nAnswer: 7, 13, 314021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 3. Let a(m) = -31*m + 16. What is 2*a(d) - 11*y(d)?\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 0.2, 0.74, -4\/3 in increasing order.\nAnswer: -12, -4, -4\/3, 0.2, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50012, 41161, 32324, 23507, 14716, 5957, -2764?\n\"Answer: y**3 + y**2 - 8861*y + 58871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 4) + 19 + 5 - -30\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0704 plus 40989454?\nAnswer: 40989465.0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3150000*x. Suppose -5*b + 13 - 3 = 0. Let r be u(b). What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + 2.42981131607.\nAnswer: 1.22981131607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 77\/42*4. Let r(v) be the second derivative of -y*v**4 + 0*v**3 + 10*v - 1\/5*v**5 + 0*v**2 + 0. Factor r(d).\nAnswer: -4*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 15. Suppose 0 = -3*v - 6 - g, -4*h - 3*v = 0. Calculate the remainder when 11 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 140.0512 centuries?\nAnswer: 168061.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(-2 + 1 - 3)*(8430 - 8430 + 1101*v**3) to the form x*v**3 + s*v**2 + k*v + y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187766 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 83 = 5*m. Let l = -82\/3 + m. Which is the second biggest value? (a) l (b) -1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:44 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 2. Let b be i(5). Let m = -23 + b. Let c(l) = -l**2 + l. Let s(h) be the second derivative of h**4\/6 - h**3\/2 + h. Determine m*c(f) + s(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 150 = 3*m - m, m + 5*i - 80 = 0. Suppose 125 + m = 3*g. Let n = g - 17. What is the remainder when 92 is divided by n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 26*d**2. Let l(q) = 5*q**3 + q**2 - q - 3. Let s be l(2). Let n(b) = -s*b**2 - 32*b**2 + 69*b**2. Give o(n(k)).\nAnswer: 104*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:08 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116543 and -8.86?\nAnswer: -1032570.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from zvvvzvk?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*x - 1490*x = 2*t - 46, 46 = 2*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/20*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)*3*2*6*-1)\/((3*-1*sqrt(55))\/(1*sqrt(10)\/sqrt(2))))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/11, -26.2, -0.1, 0.1.\nAnswer: -26.2, -0.1, 0.1, 8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1300) - (-2 + sqrt(1300)))*-6 + -5))**2 - -5*(4*(-3 + sqrt(1300)) + -5).\nAnswer: 200*sqrt(13) + 10319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 144. Let z be -2 + (-7)\/((-7)\/2) - c. Solve 5*d = -5*b + 15, -2*b + z - 2 = 4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006003653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/23)*m*m)\/m)\/m**(-8))\/(m**(-2\/11)*m*m*m*m*m**(1\/8)) assuming m is positive.\nAnswer: m**(10411\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/99*15795\/19656?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 472702 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 17*z**2 + 8*z + 7. Is q(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 58*k**2 - 538*k + 125. What is t(11)?\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*d**3 + 30*d - 48457 + 48457 in the form f + o*d + h*d**3 + u*d**2 and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by (1\/2)\/((-20)\/20) - (-3279)\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -0*a. Let n(b) = -5 + 3*b**a + b - 1 + 1. Let y(i) = i**2 - 1. Let q(m) = -n(m) + 5*y(m). Find the second derivative of q(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43931795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = 2*o + 5*d, -15 = 3*o + 3*d. Let v(p) = p**2 + 5*p - 1. What is the remainder when 24 is divided by v(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2468, 19728, 66516, 157574, 307644?\nAnswer: 531468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = 1. Let v be ((-4)\/10)\/(k\/120). Factor 34*n + 5*n**3 + v*n**2 + 8 - 14*n - n**3.\nAnswer: 4*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976905152.\nAnswer: 2, 47, 79, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867798?\nAnswer: 2, 3, 37, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -l + 6750. Let c = l - -6728\/9. What is the common denominator of 61\/15 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223817 divided by -1?\nAnswer: 223817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/3 + 22*f**4\/3 - 20*f**3 = 0?\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35875\/35 + (-2 - 1). Calculate the highest common divisor of 98 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 108*l + 0 + 113*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652715859?\nAnswer: 3, 41, 1663, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 65 = -5*u. Let b be (0 - -2)\/(72\/34 - 2). Let l = b - u. Solve -23 = l*a - 3*d - 0*d, a + 4*d = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135\/7128*32 - (-4)\/66\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -7 + 15 - (29 + -48)) + 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5318352 and 1107990?\nAnswer: 26591760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960 or 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -8*i + 6. Suppose -1 = -3*l + 5*j - 0, 0 = l + j - i. Suppose -l*p + 5 + 63 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 16 = -2*c, 5*c - 4 = -2*v. Let d be (-1)\/2*12\/v. Suppose -y = -4*b + 112, d*b + 2*y + y = 42. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.355 to zero dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12646.2 + -12668. Which is the third smallest value? (a) k (b) -2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 4224*j**3 - 302048*j**2 + 3048960*j + 28260288 = 0.\nAnswer: -978, -86, -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 6*q + 27. Let g be k(9). Factor -4\/3*x**4 + 0*x**2 + g*x**3 + 0*x - 4\/3*x**5 + 0.\nAnswer: -4*x**4*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 26. Let z(a) = a**3 + 13*a**2 - a - 17. Let n be z(-13). Let s(j) = 11*j + 53. Let g(c) = n*s(c) + 9*v(c). What is the units digit of g(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-11))\/h)\/((h*h**(2\/7)*h)\/h)*(h**(-3\/14)\/h)\/(h*h**14))**7 assuming h is positive.\nAnswer: h**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 1209 = 2*q. Let i = -78 - q. Sort -0.1, -4, i.\nAnswer: -4, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484895*o = 485007*o - 6272 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*o + 31044, 0 = 67*g - 71*g + o + 62067. What are the prime factors of g?\nAnswer: 5, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 29. Let u be f(-17). Let c be (-3)\/(-3) - ((-15)\/u)\/(-3). Solve c = -2*b - 1 + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -3.3. Let v = -0.2 - d. What is the second smallest value in 2\/7, -3, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - s - s**2 + 97 - 97*s**3 + 1 - 6 in the form d*s**3 + p + x*s + a*s**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 70*t + 22*t + 154*t - 1 - 125*t. Let u(b) = 2*b - 1. Let q(l) = s(l) + 4*u(l). Find the first derivative of q(v) wrt v.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**2 + 80*m**2 - 128*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 633, -2, -18 in descending order.\nAnswer: 633, -2, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -0.03365\nAnswer: -1.1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87d (base 15) to base 2.\nAnswer: -11101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1819*v - 287 = 1778*v. Solve -v*y + 5*u = -2*y - 20, -8 = 3*y + 2*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9842869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, c: 10}. What is prob of picking 3 c?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4 + 2*s**3 - 3*s**3 - 2*s**2 - 3*s**3 - 2*s + s. List the prime factors of q(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 1216468980818.\nAnswer: 1216468980820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 - (20 - -7 - 4) - 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 + -31?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1502527699 to the nearest integer?\nAnswer: 38762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 437 and 162?\nAnswer: 70794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.13239 to two decimal places.\nAnswer: -19.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 258 - 260. Let k(o) = -9*o**2 - 6*o - 7. Let h(s) = -8*s**2 - 5*s - 6. Let n(x) = 6*h(x) - 5*k(x). Determine n(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 164 + 529 = 0. Let s = r + -51. Let g(z) = 2*z - 2. Let b be g(2). Solve -b*m + 2 = 3*a - 7*a, -5*m - s = -a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70470093 and 219533.\nAnswer: 70470093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*a - 5, 9 = m + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-t**2 + 5*t**4 + 5*t**4 - 9*t**4) to z*t**2 + f*t**4 + h*t + d + g*t**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 16 = -4*s - 2*u - 4. Let z = -1.2 + 1.5. Let d(k) = -k + 5. Let p be d(6). Which is the closest to p? (a) s (b) z (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12620203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906336*p + 906724*p = -2716 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2 - v - 1. Let l = 14 + -11. Let k be z(l). Let o = k - -196. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 4266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 1 = -13*k, 0 = 5*z - 5*k - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -791 - -795.515. Let u = 48.425 + z. Let i = 53 - u. Sort -5, i, -0.5, -1 in ascending order.\nAnswer: -5, -1, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 5:55 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 2. Let t be g(5). Suppose d - 5*d = 2*k - 30, 2*k = 4*d + 6. Calculate the highest common divisor of k and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4433695302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -5\/3*x**3 + 1\/80*x**5 - 7\/2*x**2 + 160*x + 0 - 11\/48*x**4. Suppose y(j) = 0. What is j?\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.19 + 4. Let l = -0.19 - z. Which is the nearest to 2\/3? (a) -0.2 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810 is divided by 135?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i - 12. Let z(v) = 7*v**2 - 4*v - 1. Let b be z(3). Calculate the common denominator of 1\/(i\/((-735)\/b)) and 37\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5) + 63\/(-70). Which is the closest to 0? (a) -3 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 82\/9, -2, 0, -6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/24)\/((-2)\/6*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a. Let s(b) = 25*b + 1. Determine 11*p(f) + 2*s(f).\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1159 - 1156. Let c(i) be the second derivative of 0*i**5 + 0*i**2 + 1\/210*i**7 + 0*i**4 - 1\/150*i**6 + 8*i + 0*i**w + 0. Solve c(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369173635 a multiple of 4159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -648 + -2593?\nAnswer: -2c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6233*k**2 + 6240*k**2 + 6262*k**2 + 11*k**3 - 18735*k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*o - 23. Let n(c) be the third derivative of c**4 + c**3\/6 + 2*c**2. What is the remainder when n(2) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 11*r - 13)*(r + 4*r - 6*r + (3*r - r - r)*(2 + 2 - 2) - 2 + 2 + 2*r + 0*r + 4*r - 3*r + 3 + 3*r - 3).\nAnswer: -77*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/2 - o**3\/3 + o**2 + 15*o. Determine l(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 15. Suppose 0 = g + z*k + 10, k - 4 = 2*k. Calculate the smallest common multiple of 1 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202748919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*u**4 - 110*u**3 - 28*u**2 + 59937*u + 37 wrt u?\nAnswer: 108*u**2 - 660*u - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-2 + -3 - -22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**6\/10 + 3*t**5\/5 - 3*t**4\/4 - 2*t**3 + 6*t**2 + 3*t. Let v(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1 (b) 1229 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 - 682*j**3 - 2038*j wrt j?\nAnswer: -24*j**2 - 4092*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:19 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t - 4. Let f be m(5). Suppose 3*i - 27 = -5*x, 0*x + 2*i = 4*x - 4. Suppose -3*c + 3 = -x. What is the greatest common divisor of c and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 1 + 1 + (-3*o + 1 - 1)*(-2 - 2 + 5) - 12438 + 274*o + 12438 - 2*o - 3*o + 7*o.\nAnswer: 275*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -75\nAnswer: -19\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 16, 7, -4, -17?\n\"Answer: -r**2 - 4*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.52 - -4.52. Let u = 0.15 - 0.85. Let z = u - -1. Which is the closest to x? (a) z (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 10:33 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13956 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 5. Let w = o - 0. Let l(t) = -1. Let p(c) = -4 + 2 + 1 - 7 - 1032*c + 1034*c. What is w*l(q) + p(q)?\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*m + 0*m = -371*m + 34160 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628284 is divided by 814121?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.40538 rounded to two dps?\nAnswer: -8.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 3.7. Sort -2\/7, 1\/4, c, -0.2 in decreasing order.\nAnswer: c, 1\/4, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 56. Which is the closest to -3? (a) 0 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**2*r**3 + 24*l**2*r - l*r**3 + r**3 + 2*r**2 wrt l?\nAnswer: -10*r**3 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 3*y**4 + y**4 + 7*y**4 - 4*y**4 + y**4 + y - y - 2*y**4 + (3*y**3 + 2*y**3 - 2*y**3)*(5*y - y - 3*y).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/3 (b) 3\/5 (c) 2 (d) 3\/2 (e) -0.1 (f) -0.4 (g) 0.0331\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 28*c**2 + c - 28. Let h be t(28). Put -3, 2, 4, h in ascending order.\nAnswer: -3, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*v**5 + 76*v**4 - 20*v**3 - 12*v**2.\nAnswer: -4*v**2*(v - 1)**2*(11*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/74)\/((3\/(-7))\/(6\/4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/32)\/x)*x**(1\/3))\/(x**(-1\/18)\/x)**(2\/27) assuming x is positive.\nAnswer: x**(18509\/7776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11395625979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*a - 3018 = -3432 - 13065 - 2141 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.74 + -1.36. What is a rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19796931 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657\/6*4\/6 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.3849kg to nanograms.\nAnswer: 82384900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + v - v - 2*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18050000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23353 is divided by 5824.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173094751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/5, 8, -3, -0.5, -2\/31.\nAnswer: -3, -0.5, -2\/31, 24\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 48.07587 minutes?\nAnswer: 2884.5522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b290 + 2?\nAnswer: -4b28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 63 - 28*g)*(-1 + 2*g**4 + 1) - 2*g**5 - g**5 + 5*g**5 - 2*g**5 + 2*g**5 - 2*g**5 + (0*g**3 - 2*g**3 + 4*g**3)*(-g**2 - 2*g**2 + 2*g**2).\nAnswer: -58*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/45 - 22\/(-5). What is the closest to 8 in -0.4, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/28 - (-154)\/(-49)) + (-6 + -5 - -16).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -8*q**4 + 2*q**3\/3 + q**2\/2 + 29. Is l(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 55972*z - 19366292. What is k(346)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -c + 10. Calculate the greatest common divisor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 + 8 - (2 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -4*m**3\/3 + 4*m**2 - 88. Let n = -29 - -34. Let a(h) = 9*h**2 - 17*h. Calculate n*l(r) + 2*a(r).\nAnswer: -2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -95*q**2. Let t(x) = 6*x**2 + 15*x - 45. Let n(l) = -2*l**2 - 8*l + 24. Let y(v) = 15*n(v) + 8*t(v). Give s(y(j)).\nAnswer: -30780*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/66 + 64*n**3\/33 - 183*n**2\/11 - 2*n - 64. Factor x(l).\nAnswer: -2*(l - 61)*(l - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1303, -15, -3.\nAnswer: -1303, -15, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 187, 1148, 2755, 5014, 7931?\n\"Answer: f**3 + 317*f**2 + 3*f - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/39*(650 - 663)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -85a21?\nAnswer: 85a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -952883 divided by 115?\nAnswer: -952883\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-949*b - 1265*b + 690*b)*(3*b + 0*b - 4*b).\nAnswer: 1524*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 119*d + 102. Let m(f) = -f - 1. Let z(u) = -i(u) - 102*m(u). Let s(v) = -v**2. Calculate s(z(b)).\nAnswer: -289*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**7\/1470 - l**5\/140 + l**4\/84 + 15*l**2. Factor u(a).\nAnswer: a*(a - 1)**2*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q + 4. Let j be w(0). Solve 3*s = -j*o - 6, -3*s = -8*s - 3*o - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28780966 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -713.7449 to one decimal place.\nAnswer: -713.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 18 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + p - 3. Let x be a(3). Suppose 5*v = 4*c - 27, x = 3*c + 2*v - 3. Suppose 22*h + 421329 = 421417. Solve 0 = t + c - h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7931 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + 0.3. Let n = -2 + z. Let k = 2.5 + -2. What is the third biggest value in n, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 7*x - 3. Let d be u(7). Let f(j) = 2*j - 1. Let r be f(-1). Let v be (5\/r + 1)*3. Is v < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in 99047\/4, -1\/7, -5, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4)) + ((sqrt(152)*1 - sqrt(152))\/sqrt(8))**2 + -2*(-4 + (sqrt(684) - (sqrt(684) - sqrt(684)*2 - sqrt(684)))).\nAnswer: -35*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*o - 1849 + 3532 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*h**2 - 50 + 50.\nAnswer: 239*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629058 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -66*g**2 + 7588*g + 38. Give o(115).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60630*2.\nAnswer: 121260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/52)\/((-2)\/(-52)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ereojeejeherjnnher. What is prob of picking 1 n and 1 r?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 25*p**4\/4 - 230*p**3 + 510*p**2 + 520*p - 552. Factor c(q).\nAnswer: 5*(q - 26)*(q - 2)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 121186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(8\/5 + -1 - 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*8619479.\nAnswer: -34477916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6173661349?\nAnswer: 163, 37875223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447398, -447396, -447394, -447392?\nAnswer: -447390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13330 - -2?\nAnswer: -13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**3 - 21*i**2 + i - 9*i**2 + 3*i**3 + 22*i**2 + 10. Determine p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7928 = -8547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = -3*l, n + 6 - 4 = -2*l. Let o = -6394 + 6424. Suppose 4*z - 8 = -2*p - 2*p, 0 = 4*p + 12. Solve w = -4*v + n - 1, z*w - o = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6553*p**2*z**3 - 4*p**2*z + 38*p**2 + 2*p*z**3 - 5*p*z - 249*p + 193*z**2 - 5*z - 2 wrt z?\nAnswer: 39318*p**2*z + 12*p*z + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 152. Let n be i\/(-6) - 4 - 8\/12. Suppose -n*k + 2 = 0, -f + 0*k - 2*k = -14. Calculate the remainder when 33 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 2*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 2 + 94*v**2 - 92*v**2 + 2*v + 17. Let w(u) = -u**2 + 5*u. Let i(z) = z. Let m(h) = 5*i(h) - w(h). Determine j(m(r)).\nAnswer: 2*r**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208) + sqrt(208)*-4 - 2*sqrt(91)\/sqrt(7))*2)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3655 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97.86 and 1011?\nAnswer: -98936.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66\/217 - 78\/217. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2997*m**2 - 8*m**3 + 5998*m**2 + m - 3001*m**2 as a + l*m**3 + w*m + j*m**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 187339 - 9478*r**2 - 187339)*(-1 + 2 - 2) as f*r + y + v*r**2 and give v.\nAnswer: 9478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 434, 202, -184, -724, -1418?\n\"Answer: -77*k**2 - k + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 7*d\/3 + 6.\nAnswer: -(d - 9)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g = 84 - 21. Suppose -b - 10*l = -6*l - g, l = b - 26. Solve -5*h + 3*q + 14 = -3, 5*h + q = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**4*v**2 - 2*n**4 - 507*n**3*v**3 + 13*n**2*v**3 + 3*n**2*v**2 + 25*n**2*v wrt n.\nAnswer: 24*n*v**2 - 48*n - 3042*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7186150 to the nearest 10000.\nAnswer: -7190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/12*25\/(2475\/(-189)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.0588 rounded to 0 dps?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40191767.15297 - 37\nAnswer: 40191730.15297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-3 - (13 + -12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721358061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(4 - 3) + -18. Let k = l + 14. Let u be 9*(-1)\/k - -6. What is the greatest common factor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) -29 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1696502, -3393033, -5089564, -6786095, -8482626, -10179157?\nAnswer: -11875688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*z - 603845 = -1521*z + 4881*z - 204391 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15563*q**6*r - 2*q**3*r - 19242*q**2*r wrt q?\nAnswer: -1867560*q**3*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(931) - (0 + sqrt(931))*-2 - (1*sqrt(931)*4 - (4 + sqrt(931) + 0))) + -4*(0 + (sqrt(931) + (3 + 1 + sqrt(931))**2 - sqrt(931)) + -4).\nAnswer: -3768 - 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5146217?\nAnswer: 31, 109, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b - 1. Let o be m(-4). Suppose 0 = -2*f + o*f - 5. What are the prime factors of 2 - (1 - f)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**4*s**3 - n**4*s**2 - 4*n**3*s - 2*n**2*s**3 - 2*n**2 - 10*s**3 wrt n.\nAnswer: 96*n*s**3 - 24*n*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 52, -9, -5, -8 in decreasing order.\nAnswer: 52, 4, -5, -8, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*h + 494*h = -2*t - 42, -42 = -2*h + 2*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240 + 1310. What are the prime factors of z?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*d + 53*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -5. Which is the second smallest value? (a) j (b) -5 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 58*n - 53*n. Suppose 1404 = 6*u + n*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 + 2*u + 23. Suppose -41*c - 54*c = 0. Give d(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 623237156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/8))\/((-288)\/18 + 10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19156?\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**7\/1260 - j**6\/360 + j**5\/360 + j**4\/72 + j**2 + j. Suppose d(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 373912*y**4 + 5*y**2 + 4596*y**3 + 66155*y**4 + 7*y**2.\nAnswer: 3*y**2*(383*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 3*t + 0*t)*(-83*t + 34*t + 43*t - 15*t**2 + 1) - 3*t**3 + 0*t**3 + 0*t**3 as c*t + n*t**3 + s + w*t**2 and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/12 + u**2 + 32. Let g(c) = -300*c**2 + 1. Give g(l(h)).\nAnswer: -1200*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*u = -15, -3 = -4*w + 3*w - 4*u. Suppose -34 = -w*x + 68. Solve -9 = 5*m - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 11838.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v**2 - 169*v - 18 = 0 for v.\nAnswer: -2\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2951609480 + 33.4.\nAnswer: -2951609446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + -18026?\nAnswer: -1804c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5979 (base 12) in base 10?\nAnswer: -10029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-100) + 93\/5. Is ((-12)\/d - 0)\/((-4)\/6810) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-30 + 27 - 8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 754401922 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 346 = -14*u + 383, 3*u + t + 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31350226 to the power of 1\/2, to the nearest integer?\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20530 is divided by 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 2*g + 80 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 234307009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(-1 + sqrt(128))**2 + 5) + 5*-2*(2 + sqrt(128)) + -1.\nAnswer: -527 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 4*t - 61*t + 1)*(432 + 975 - 267) as x + r*t and give r.\nAnswer: -76380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(112)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 908 * 0.2\nAnswer: 181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x - 45. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*h + 3*h + 30 = 0, -2*j - 2*h = 40. Let q be 1*-12*(126\/j + 5). Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k*z**6 + 8*k*z**3 + k*z + k + 3*z**2 wrt z.\nAnswer: -600*k*z**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or -105.986?\nAnswer: -105.986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-22))\/((-1040)\/416).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-10))\/(24\/80). Suppose y = 5*n - 3*n. Suppose n*a - 5 - 1 = 0. Calculate the smallest common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 - 1 = 0. What is the remainder when 8 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 12*s**4 + 4*s**3 - 24*s**2 - 2*s + 12 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11582 + 9182 = -60*z. Solve -2*c + 3*i - 52 = -z, -30 = -5*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137378 (base 9) to base 8\nAnswer: -244265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37550831 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*v - 172*v + 586*v)*(-6 + 2 + 2) as u*v + o and give u.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5586134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 equal to 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 i, and 1 o when four letters picked without replacement from {u: 4, r: 2, i: 8, o: 5}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let w = 2.05 + -0.05. Let m = 1 - w. Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(14\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 1 (b) 1.3 (c) 2\/11 (d) 0.07 (e) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:11 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37536*z**4 + 346238*z wrt z.\nAnswer: -450432*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2501740, -2501738, -2501736?\nAnswer: -2501734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 = 3*h + 12, 11 = 5*h + 21 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 36*i + 39. Let c(s) = -2*s**2 + s - 1. Let a = -491 + 490. Let o(q) = a*y(q) + 6*c(q). Let o(u) = 0. What is u?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*j**2 + 2696*c - 414*j**4 wrt j?\nAnswer: 2*c*j - 1656*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3652, 7312, 10972, 14632, 18292?\nAnswer: 21952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 2*c - 59. Let a = c - 17. Let w(s) = -2*s + 18. Let t be w(6). What is the greatest common divisor of t and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d + 10. Calculate s(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 32*o = 34*o + 250, 2*o - 278 = -2*b. Calculate the smallest common multiple of 2068 and b.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -103, -585, -1751, -3829, -7047, -11633?\nAnswer: -17815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0255 - -0.0144. Let h = 0.0001 + n. What is the fourth smallest value in h, -4, -0.5, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 52 = -4*x, u + 44 = 45 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhxhhhhhhhhxhxx. Give prob of picking 4 h.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-21)\/(-9))\/(8\/24) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6547\/9 - 262897\/360. Calculate the common denominator of a and -69\/220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i - 20. Which is the nearest to -1\/4? (a) 3 (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*j - 28024 = -1304*j + 28955 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(-2*l + 6*l + 5*l)*(l**3 - 3*l**3 - 2*l**2 + 3*l**2).\nAnswer: 18*l**4 - 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 6*d = 4*d. Let o(z) = -z**2 - 10. Give o(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4477 (b) 0.5 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9096396 to the nearest integer?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246375, -246455, -246537, -246621?\nAnswer: -246707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-16)\/(-3)*(-1 + (-50)\/(-8)) and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*x - 159 = -0*w, -w + 61 = -4*x. Suppose -4*q = 5*m - 33 - w, 3*m = 4*q - 98. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5703 (base 9) to base 2.\nAnswer: 1000001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221186\/73 + 3030. Let r = -1607\/2307 - -4212121\/1347288. Let q = r - z. What is the common denominator of 13\/3 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2 + 2*w + 1\/48*w**4 + 1\/8*w**2 + 1\/12*w**3. Let t(u) be the first derivative of y(u). Find g such that t(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.13659 grams in micrograms?\nAnswer: 55136590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/463, -11\/4, 17\/98?\nAnswer: 17\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 53 - 678. Suppose 0 = -q - 21 - 24. Let w = h + q. What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*d - 29*d + 30. What is the second biggest value in d, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/(-15)*250\/(-20). Calculate the highest common divisor of s and 1848.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-1485))\/((63\/30)\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 2*h. Suppose 0 = h*d - 15 + 3. Suppose d*w = 20 + 61. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -666431*y + 5*y**4 - 2*y**3 - 4*y**4 + 666935*y as v*y**3 + n*y**2 + b + l*y**4 + x*y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*u - x, u + 4*x = -4 + 2. Let k = u + -6. Let q = 14 + k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5710265906\/5931 - -962783. Find the common denominator of 37\/7 and f.\nAnswer: 41517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + t + 12, 5*c - 3*t = 22. Suppose -3*d = c*v - v - 13, -d - 1 = -5*v. Solve 0 = f - 0 + d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 176\/3. Suppose 0 = -t - t + 62. Let i = h - t. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 21474*c**3 + 55506711*c**2 + 61125698052*c + 24307652592012.\nAnswer: 3*(c + 1193)**2*(c + 2386)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.26, -2\/3 in ascending order.\nAnswer: -2\/3, -0.26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/10)\/r*r\/((r**(3\/8)*r)\/r)*r*r\/r**(-2\/17)*r*r*r\/(r*r\/r**0*r))**(-4) assuming r is positive.\nAnswer: r**(-1389\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 534*u**4\/5 - 4509*u**3\/5 + 1350*u**2 + 41796*u\/5 - 17496\/5 = 0. What is u?\nAnswer: -18, -3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a + 9468 = -59*a + 4*s, 4*s = 5*a + 11832. Is a\/(-18)*3*2 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11209860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 180\/(96\/(-8))*1. Sort -32, 4, o in descending order.\nAnswer: 4, o, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + m**2 + 5*m**2)*(-3*m**3 + 2*m**3 + 0*m**3).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33343)\/(-7) - ((-152)\/56 + 3) a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*a - 760*a = 406 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16169 times -585\nAnswer: -9458865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (1 - -14) - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r + 1\/8*r**4 + r**2 + 0 + 0*r**3. Determine u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2. Let g(y) = -6*y**3 + 12*y**2. What is -3*g(m) + 36*s(m)?\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 54 = 3*t, -3*i + t - 35 = 27. Let b = 25 - i. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.156\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**4 + n**3 - n**2 + n. Let o(c) = 4*c**4 + 16*c**3 - 24*c**2 + 20*c - 4. Let j be ((-36)\/4 - 2) + 0 + -1. Let g(k) = j*u(k) + 2*o(k). Factor g(z).\nAnswer: -4*(z - 2)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3225*r - 3218*r. Suppose -233 = -3*p + 172. Suppose -67 = 3*c - r*l, p = -5*c + 5*l + 15. Which is smaller: -37\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106, -189, -284, -397, -534?\n\"Answer: -a**3 - 76*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 19*i + 43. What is k(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 37976494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 12. Let p(r) = r - 12. Let t(d) = -5*n(d) + 4*p(d). Let a be t(12). Solve -l + 3 - 2 = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(4\/(-6)). Let f = c + 0. Let n(z) = 5 - 5 + 2*z**f. Let a(i) = -2*i. Give a(n(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 154.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 18 = 6*b, 156450*b = o + 156455*b - 11 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*t - 49928059 + 17*t + 49928059.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 - 24*q**4 + 20*q**3 + 64*q**2 - 48*q - 64 = 0. Calculate q.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 7. What is the highest common divisor of 64 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**2 + 2*g**2 - 3*g**2 + (-g + 1 - 1)*(-7*g + 2*g + 3*g))*(24*g**2 - 83 + 84 - 1371*g**3 + 1366*g**3).\nAnswer: -35*g**5 + 168*g**4 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 14315863 = 24960838. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(1\/(123 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -13\/5 in decreasing order.\nAnswer: -0.3, -13\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 19*p**2 + 19*p + 40. What is x(-18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -4*d - d. Is 5 a factor of (-1 - d) + (-1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000100302466 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - l**2 + 2*l + 3*l**2 - l**2 - l**2 - l**2 - l**2 + 0*l**2 + (1 - 1 + 2)*(5*l**2 - 3*l**2 - 3*l**2) - 767 - 82*l**2 + 767.\nAnswer: -86*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*d + 14*d**2 + 2 - 46*d**3 + 88*d**3 - 40*d**3.\nAnswer: 2*d**3 + 14*d**2 - 105*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -27. Suppose 9*v = 23 + w. Solve -3 = v*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 4:36 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from lllxlxxlpp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12)**(-1\/55) assuming c is positive.\nAnswer: c**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 4*w**3 - 8*w + 8*w + (w + 3*w + 0*w)*(-2629 + 2629 - 127*w**2).\nAnswer: -511*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1 - -3) - -2. Solve -v = -4 + l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.5 (b) -4 (c) -3\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**2 - 33*h**2 - 5 + 5.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153353.\nAnswer: 153353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 + 9*u**2 + 6*u**2)*(3*u**3 - 5*u**3 + u**3) + 2 - 2 - u**5.\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57904 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -6*c - 41. Suppose 0 = 4*u - 8, 4*u - 2*u = -2*f + c. Solve 4 = 4*t - 4*s, -2*s - 6 = f*t - 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 c when three letters picked without replacement from {v: 3, f: 2, c: 6, u: 1, s: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75723 is divided by 3556?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 148\/12 - -2*3\/(-18). Let o(a) = -a + 4. Calculate o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10704 divided by 5352\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588348 is divided by 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4794 or 4792?\nAnswer: 4792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 63835?\nAnswer: 1\/12767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10110994*j**2 + 5055502*j**2 + 5055491*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 42340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3704 + 3709. Solve 3*k = -f*g + 13 + 6, 0 = -3*k + 2*g + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 18. Let j be k(30). What is the third derivative of 11*s**2 + 3*s**4 - 46*s**6 - 3*s**4 - 17*s**3 + j*s**6 wrt s?\nAnswer: 240*s**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93993 is divided by 15586?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241231 - 100142?\nAnswer: -341423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 86 = -4*d, -128044*d - 17 = -128043*d - c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -44. Let t(z) = -9*z - 4. Let j(s) = -9*s - 5. Let a(d) = n*t(d) - 4*j(d). Let p(u) = 3*u**2 + 2*u**2 - 4*u**2. Determine a(p(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 - 2*d - 110. What is u(0)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**3\/3 - 3*t**2 + 6*t + 164. What is z(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 + 893*o - 91. Give v(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -424 - -5?\nAnswer: -41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4922, -10089, -15248, -20399, -25542, -30677, -35804?\n\"Answer: 4*h**2 - 5179*h + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 w when four letters picked without replacement from wbbwwwbbbbwwwbwbwbbw?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1001)\/490 - -1 - (-133)\/95. What is the second smallest value in 34, x, 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/(-65))\/3*10\/48.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -190, -270, -334, -376, -390, -370?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4397 - 616 = 19*a. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 183 + -123. Calculate the least common multiple of 10 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-243)\/(-9) + 57\/(-3). Solve 3*y + 3*s + 12 = -s, 0 = 2*y - 3*s + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 777798 and 11444742?\nAnswer: 80113194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 8\/6 - (-989)\/12. Let r = d - 3433\/44. Let y = 1451\/2 + -699. Find the common denominator of y and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -24795878 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2 - 7*b + 15. Calculate the remainder when p(-8) is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 12397626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17112 and 6.\nAnswer: 17112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34, 0.2, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309\/3 + (0 - 0) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 288. Suppose -x*h = -102*h + 65406. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -19*g**2 - 6*g - 8. Let q(s) = -196*s + 32. Determine q(j(t)).\nAnswer: 3724*t**2 + 1176*t + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 192842649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-80) - 115\/(-25))\/((-5)\/(-6))\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/(62\/93). Suppose 13*l - a*l - 2860 = 0. Is 26 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in ninety-one quarters of a micrometer?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150072215935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.523 + -0.027. Let n = o + 2.582. What is n rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-11) + -10 - (-91)\/9.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -430526 - -1204?\nAnswer: -428322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26182)\/(-130))\/(-19)*5.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364)\/(-130) - (-7)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h**(-1\/3))\/(h*h**2*h*h*h**(5\/2)\/h))\/((h**(-1)*h)**(-31)\/(h**1\/h)**(-1\/48)) assuming h is positive.\nAnswer: h**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -195.\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/45 - 16\/(-30). What is the second smallest value in m, 4, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(720)*-4) - (0 + ((sqrt(448))**2 - sqrt(7))*-5).\nAnswer: -241*sqrt(7)\/48 + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 11. Let t = o - 23. Let d(h) = 11 - 16 + 2*h - 2*h - 2*h**t. Let b(n) = -n**2 - 1. Give -3*b(g) + d(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-28)*(-3)\/(-9).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) 5 (b) -0.04 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290967.8 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39867.93 - 40355. What is f rounded to 0 dps?\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -1323, -1981?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/6 - 4*b. Let q be v(-2). Suppose -r = q*r + 24900000. What is r rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrvx when four letters picked without replacement from {v: 5, r: 5, x: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17732 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 + 147 = -5*j. Suppose -j = -5*n - a, a + 110 = n + 3*n. Suppose -n - 21 = -3*k. What is the remainder when k is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 4*z + 24*z. Suppose 5*b = -4*q + 61, 2*q - 3*q - 2*b = -19. Let r(c) = -c**3 + 8*c**2 + 10*c - 5. Let f be r(q). Sort -4, f, z.\nAnswer: -4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - (6 - 4)\/(-1). Solve 0 = -4*y - g - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2. Let r(q) = -3650*q. Let c(i) = -51*i. Let l(n) = 365*c(n) - 5*r(n). Calculate z(l(a)).\nAnswer: 932575*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.61 + 0.11. Let m = f - -0.5. Which is the nearest to m? (a) 2\/5 (b) 2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 1. Let n be k(4). Let v(y) = y - 7. Let i be v(n). Let l(w) = -w**3 + 2*w**2 - 6. Let a be l(i). Is -6 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 12*m + 8. What is r(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262232 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*j + 25, 0 = 5*j - 8*j - 15. Suppose u*i = -16 + 31. Solve 5*y = 12 + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 42. Let g be 3\/i*(-15 - -19). Suppose 751 = w - 0*w + 2*h, g*h - 751 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8 + 1)\/(1\/2). Suppose -3*p + 44 = -p - 2*v, 0 = 4*v + 8. Suppose 5*g - 5*z - 15 = p, -c*g - z + 37 = 0. Solve -1 + g = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5410, -21481, -48266, -85765, -133978, -192905, -262546?\n\"Answer: -5357*d**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/(220\/(-210)*156\/(-24596)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(48) + 1 + (sqrt(3) - sqrt(9)\/(sqrt(15)\/sqrt(5)))**2 + 3 + 0)*6.\nAnswer: 24 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2\/4835, 79, 3\/2 in decreasing order.\nAnswer: 79, 3\/2, 2\/4835, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62534, 125055, 187576, 250097?\nAnswer: 312618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let f(v) = 2*v**2 - 60*v + 338. Let m(h) = -f(h) + 4*r(h). Let m(g) = 0. Calculate g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = q - 22, 154*q = 159*q + 2*x - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - x + 26 = k, 0 = -84*k + 44*k + 42*k + 2*x - 16 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -275?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 148. Let g be ((-4)\/(-7))\/((-1)\/14*w). Solve 3*v + 0*n - 3*n + 18 = 0, -3*n = 2*v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17867 and 18918?\nAnswer: 321606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, c: 1, w: 1, s: 3, b: 1, v: 1}. What is prob of sequence ss?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14660980 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 8:33 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 3*f - f)*(-539*f - 4823 + 4823) in the form y*f**2 + v*f + d and give y.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -191 + -3?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {j: 2, c: 2, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose 2 + f = i. What is the second derivative of 3*z - 3*z + i*z - 2*z**5 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -123. Let d be 3 - 4\/5*3*-25. Let s be 336\/d*(-3)\/(-4). Solve y*a + 2 = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/((f*f**(2\/7))\/f))\/f)\/f*f)\/f)**(-1\/5)*f*f**(-12)*f\/((f**(4\/9)*f)\/f) assuming f is positive.\nAnswer: f**(-3272\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495606 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (3 + -6 - 2 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 3. What is the remainder when b(5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749.91 + 755. Let p = l + -0.09. Sort 1, -0.5, p in decreasing order.\nAnswer: p, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29182 is divided by 701.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g**2)*(2 - 2 - 61665*g**3 + 61877*g**3).\nAnswer: 424*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 1130 = 2284 - 1138. Suppose -4 = 3*a + 2. Let q = a - -8. What is the highest common factor of q and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*77\/(-132) - -5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287325 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/30*-5)\/(2\/(-30)). Let g(s) = -s + 5. Calculate the remainder when g(f) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:47 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2699 and 243236579.\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4799886 and 3.\nAnswer: 4799886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1935 - 3488550\nAnswer: -3490485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 64*d + 6. Let f(x) = 1975 - 3*x - 661 - 656 - 658. Determine l(f(s)).\nAnswer: -192*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235162 divided by 383.\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let t(p) = 10*p. Let h(n) = -19*n. Let g(l) = -3*h(l) - 5*t(l). What is w(g(m))?\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 909*p**4*v - 9*p**3*v - 109*p**3 - 632*p*v - 248775 wrt p?\nAnswer: 10908*p**2*v - 54*p*v - 654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/6)*d**(-2\/13)*(d*d**(-2\/9)\/d*d*d)**(-8)*(d\/(d\/d**2*d)*d**(2\/21)*d)\/((d\/(d*d**(-8)*d))\/d**(-6)) assuming d is positive.\nAnswer: d**(-41683\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865460568?\nAnswer: 2, 17, 21069563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1878 - 1086. Calculate the smallest common multiple of j and 18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 2*j**2 - 2*j. Suppose 9*t + 36*t = -21*t + 6930. What is the smallest common multiple of t and v(-2)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-16))\/((b*b**(-2\/51)*b)\/b)*(b\/b**(1\/7))\/b*b*b*b*b**0 assuming b is positive.\nAnswer: b**(6746\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.5. Let i = 0.66 + j. Let s = i - 0.33. Round s to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 14*r**2 - 71*r\/5.\nAnswer: r*(r - 1)*(r + 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25129118 and 3171.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) -2\/11 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -11*f - 13. Sort f, -1, 5, 2 in decreasing order.\nAnswer: 5, 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 843 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-9) + 232\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/58)*v*v**(9\/7)*v*v*v)\/(v**(1\/33))**10 assuming v is positive.\nAnswer: v**(66527\/13398)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-4 - -11) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 8. Calculate the remainder when 46 is divided by b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13\/4, 0.07, 5, 21.79, 3, 4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 37.6?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98408, -98329, -98250?\nAnswer: -98171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217923 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-54)\/(-9)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433147 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10033, -13568, -19461, -27712, -38321?\nAnswer: -51288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -8363.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/3, -2, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2090\/(-133) - -17 - 2\/7. Which is the third biggest value? (a) r (b) 5 (c) -1\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -230965, -461960, -692955, -923950, -1154945?\n\"Answer: -230995*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whg when three letters picked without replacement from ughguwhvuhuvxuhugwxg.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 30. Let y = -92.000041 + g. What is y rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 - 40 = 0. Suppose 0 = 2*r - 6 + c. Let n(d) = -2*d**2 - 7*d + 2. Determine n(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 4*o)*(-3 + 0 + 1) - o - o + o + (-52 - 13 - 1)*(2*o + 2*o + o).\nAnswer: -333*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/7 + -1\/14. Let f = -2 + 3. Let h be 20\/42 + f\/(-3). Which is the second smallest value? (a) y (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2890 and -89\/50.\nAnswer: 14450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 + 0 = 0. Determine t, given that 3*t**2 - t**2 + t**2 + t**b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 3*o + 3. Determine f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10\/(v\/(v*v\/(v*(v**(-4\/11)\/v)\/v)))*(v\/v**(-27)*v*v)\/(v*(v**14\/v)\/v) assuming v is positive.\nAnswer: v**(323\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, -14, -9, 0.\nAnswer: -14, -9, 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 + 9*g + 8. Calculate the remainder when 417 is divided by c(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106480526 a multiple of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**2 + 10*b**2 + b**2 - 227 - 3*b - 5*b + 56. What are the prime factors of x(25)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/42)\/((-3)\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 615 - 644 - (0 + -61)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j)*(-1 - 2 + 1) + 0 + 0 - j + 2534*j - 127*j + 790*j + 1150*j + (-j - 1 + 1)*(-4 - 2 + 4).\nAnswer: 4344*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*r + 13 = d, 5*d + 4*r = 37. Let l = 8 - d. Solve l = -5*s + 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 1c?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/121 - 233\/1089. Suppose -2*p + 4*p = 12. Let c be (-4)\/p - 40\/(-75). Put t, c, -5 in descending order.\nAnswer: c, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenyyyenyzy. Give prob of picking 1 y and 1 e.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(19\/4)*(c\/c**(2\/5))**(-48)*(c**(-4)\/(c**(-1\/9)*c))**12 assuming c is positive.\nAnswer: c**(-10781\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 + 5466*j**4 - 21838*j**3 + 16374*j**2 = 0 for j.\nAnswer: 0, 1, 3, 2729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*t + 12, -t - 3*q = 2*q + 21. Let l = -3 + t. What is the nearest to 0.1 in 1, 4\/7, l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 45 = 3*b. What is the remainder when 53 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 83. Let l = -25 + 38. Let k = l + -18. Which is the second smallest value? (a) -0.2 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - 0.69. Which is the closest to 0.1? (a) 1\/5 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(6)*-4 + sqrt(8) - (sqrt(8) - sqrt(88)\/(sqrt(55)\/sqrt(5) - sqrt(11) - sqrt(11)) - sqrt(8))) + sqrt(48)\/(sqrt(6) - 1*sqrt(6)*-1) + -1.\nAnswer: -7*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49520 by -9904.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 2, -4, 68, 12, 3 in descending order.\nAnswer: 68, 12, 3, 2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 64*o + 61*o - 18, -o - 32 = -5*n. Let h be n\/15*(-10)\/8. Is h >= -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 7 + 1. Let z be 4\/(-16) - (-22)\/l. Is 2 a factor of (-11)\/z - (-2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53672034788 - 33?\nAnswer: 53672034755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(6 - 6 + 8*n)*(-4*n + 4*n + n + 1)*(-2*n + n + 0*n).\nAnswer: 8*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 393891913 from -49.414.\nAnswer: -393891962.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*k + 25*k + 10*k**3 + (3 - 2*k**2 - 3)*(-3*k + k + 4*k) + k**2 + k**3 - k**2 + (6 + 0 - 4)*(5*k**3 - k**3 - 2*k**3) + 0*k**2 + 0*k**2 + 2*k**2 - k**3.\nAnswer: 10*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -29 + 54 + 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d + 13. Let h be z(22). Let r = h + 349. Calculate the highest common factor of 410 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 679 (c) 5 (d) -0.12 (e) 0.0167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)\/(o*o**(1\/2))*o**4*o*o\/o**(5\/4)*o)**(-30) assuming o is positive.\nAnswer: o**(-2685\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-143) - 666\/(-33). Suppose 6*k + f - 56 = 0. Solve 0 = 4*z + i - 6, i = -5*z - k + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6288 divided by 524\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + -2 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/902 and 97\/92634.\nAnswer: 41777934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30856 and -1568.\nAnswer: 48382208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*c - c - 3*b, -c + 17 = -3*b. Let i(m) = -m**2 + 16*m. Let k be i(16). Let l(z) = k + 2 + 2*z - 3. Determine l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4082 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -17638?\nAnswer: -5\/17638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -471, -8, -3 in descending order.\nAnswer: -3, -8, -145, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8900 or 172?\nAnswer: 8900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37.83071l?\nAnswer: 37830.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 186\/66 - (1 - -2). Let x(r) = 3*r**2 + r. Let w be x(-1). Let z be (w\/(-15))\/(2\/(-9)). Which is the smallest value? (a) p (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-48)*(-1)\/1*-3. Let g be 501 + w\/(-4)*(1 + 3). Suppose -13*x + 11*x = -g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 968?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, 0.5, -10\/9, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + -0.13. Which is smaller: 6\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 22 = -3*o - 3*w, o = -4*w + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10*u - 8*u = -8, -g - 3*u = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-340 - -331) + (1 - 4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020503 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85943 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 - 1) + 272\/(-40))*-15. Let p = z - 115. What is the third derivative of -3*a**p + 4*a**2 + a**4 + 16*a**4 + 20*a**4 wrt a?\nAnswer: 888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 8. Suppose 13 - 3 = -5*v. Let g = h - v. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8\/5)*m\/(m**(-10)\/m*m)*m)\/((m*m**(-14)*m)\/(m**(7\/6)\/m)) assuming m is positive.\nAnswer: m**(677\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 + 0.36. Let c = -57 - -54.1. Let o = 3 + c. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 - -327. What is the third derivative of -z**4 + 120*z**2 + 37*z**r + 45*z**3 - 21*z**3 wrt z?\nAnswer: -24*z + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2227140 by 74238.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (990\/(-50))\/(258\/(-430))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105703684*j**2 - 10383622*j - 4.\nAnswer: 211407368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t*y**3 + 2*t*y + 28*t - 20*y**3 + y wrt y.\nAnswer: 6*t*y - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/12)\/(3 - (4 - 3)). Which is the closest to -2\/9? (a) z (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(2\/2*-2). Let a(y) = 4*y**3 - y**3 + 0*y + y - 1 - 2*y**t. Determine a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) - (-52292)\/7. Let w = -2612 - -5282. Let r = w - v. Round r to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8995, 18671, 28347, 38023, 47699?\n\"Answer: 9676*v - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16000, -16337, -16676, -17017, -17360?\nAnswer: -17705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1584) + -1 + 0)*-2 + -1 + -3))**2*-1.\nAnswer: -6340 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286994.\nAnswer: 2, 3, 214499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:22 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-121*y**2 + 131*y**2 - 157*y**2)*(-y - 3*y**2 + y).\nAnswer: 882*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.04, 1\/6, -3.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 5. Let r be ((-4)\/(-2))\/(2 + (-7)\/4). Let c(q) = 2*q - r + 3 + 2. Let w(n) = 5*c(n) - 3*u(n). Let s(x) = -29*x. What is s(w(k))?\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244525244 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 2*x**2 - x + 3. Let t be m(3). Suppose -4*h + h - t = 0. What are the prime factors of (-1)\/((-20)\/h + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 1120?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*k + 125*k - 3819 - 2818 = -267 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31675, 35093, 38511?\nAnswer: 41929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11552682.\nAnswer: 2, 3, 127, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371278 + 371280. Solve 1\/9*p**f + 28\/9*p + 196\/9 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 631508, 2526054, 5683632, 10104242, 15787884, 22734558, 30944264?\n\"Answer: 631516*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.22 - 0.59. Which is smaller: k or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 + 4*r + 5. Suppose -4 - 2 = 6*j. Let o(a) = a**2 - a - 1. What is j*z(s) - 3*o(s)?\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-6) + -28 + (-2050)\/(-75) - 31.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*r + 70*r + 56*r + 64*r - 234*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -77 times 261.7\nAnswer: -20150.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 + 1 + 2 + 0. Suppose n - h = 4*n. Put -1, n, 4 in decreasing order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74457.7 to the nearest one hundred.\nAnswer: 74500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 38142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 + 2\/(-1). Let l be (4\/(-67))\/(-2) + q. Let b = 73\/201 - l. Which is smaller: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10584 and 21168?\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 31 + 6*r)*(124 - 4*r - 256 + 103) to the form d*r + n*r**2 + s and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 51, 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 242, 511, 808, 1133, 1486, 1867?\n\"Answer: 14*u**2 + 227*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 - (146 + 5 + -348)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-462)*66)\/((-24)\/(-168))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439910935.\nAnswer: 5, 41, 1409, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122394829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.04 + 13.3. What is k rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33663 is divided by 421?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284594 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1192, 2409, 3622, 4825, 6012, 7177, 8314?\n\"Answer: -u**3 + 4*u**2 + 1212*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) 1\/5 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3159 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.58431 rounded to one decimal place?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3326 + -747?\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -1.3. Let i = 0.1 - 0. Sort i, q, 5 in ascending order.\nAnswer: q, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 5, z: 7}. Give prob of sequence vbb.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 61*c**2 + 62*c - 95. What is l(-60)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4*15\/40 - 1 - (-1133374)\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(4617) + sqrt(57))*2)\/(sqrt(300)*-4*-6))**2*6.\nAnswer: 38\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 1 - 6*w**3 + 1)*(3*w - 3*w + w).\nAnswer: -w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18502*l + 18480*l + 88 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-27)\/90)\/(2\/105) and -62\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4 + 4*f + f**3 - 5 - f**2 - 4*f**2 + f**2. Let m be u(4). Solve 0 = m*o - 4*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 9.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = -4*a, -2*a - 5*t - 16 = -t. Solve -4*v - 3 + 15 = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 11. Let o = 207 + -195. Solve -5*w + 2*u - o = 4*u, 2*u + s = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2131332200 (base 4) to base 15\nAnswer: cbad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*-2)\/(-4*2*sqrt(11)).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**5\/20 + a**4\/3 + 4*a**3\/3 - 15*a**2 + 14*a - 5. Let s be i(4). Factor 2 + 35\/2*x**3 + 0*x - 39\/2*x**s.\nAnswer: (x - 1)*(5*x - 2)*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let z(q) = -46*q. What is z(t(b))?\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -713*a**7\/210 - 53*a**4\/24 + 837*a**2. What is the second derivative of w(k) wrt k?\nAnswer: -8556*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3\/2, -0.2 in decreasing order.\nAnswer: 2, -0.2, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -606? (a) -1 (b) 3\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/27384 and 139\/66.\nAnswer: 301224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2247 = -164*p + 8905. Put p, -4, 17, 1 in descending order.\nAnswer: p, 17, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = 12. Suppose z = p*z. Suppose z = 2*x - 8 - 2. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**2 - 15860*n**3 - 30*n**2 + 15969*n**3 + (6*n**3 - n**3 - 3*n**3)*(-2 + 5 - 1)*(3 + 1 - 5).\nAnswer: 105*n**3 - 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 15 = 17. Let p = -9 - -19. Let r = p + w. What is the remainder when 16 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 - 2056*f**3 - 24204*f**2 - 54216*f = 0.\nAnswer: -502, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5259.999993338 + 5260. What is g rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584469?\nAnswer: 3, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84397 is divided by 14066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48061 divided by -3?\nAnswer: 48061\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1 = b, -1708*b = -2*w - 1711*b + 53 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29979, 30289, 30599, 30909, 31219?\nAnswer: 31529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 + (-88)\/22)*(-31 + 33).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w. Let c(j) = 24344*j**2. What is c(s(o))?\nAnswer: 4114136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, j: 2}. Give prob of picking 2 i.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*m*o*q**2 - 2899*a**2*m*o*q - 5565*a**2*m*q**2 + a**2*m*q + 2*a**2*o*q - 2*a*o + 2*a*q + 6*q**2 wrt q?\nAnswer: 2*a**2*m*o - 11130*a**2*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:26 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by 226?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -11\/24*d**3 + 1\/48*d**6 + 12 - 3\/8*d**2 + 3\/40*d**5 - 3\/32*d**4 + 0*d. Factor b(c).\nAnswer: c*(c - 2)*(c + 1)**2*(c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let d(a) = -8*a. Let f(h) = d(h) + 6*g(h). Let c(t) = 4*t. Calculate c(f(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36474, 36476, 36478?\nAnswer: 36480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 - -93. Sort 2, a, -0.04.\nAnswer: -0.04, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149369196 less than -20.556?\nAnswer: -2149369216.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3302377 and 14469.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/4846009?\nAnswer: 2\/4846009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762982.\nAnswer: 2, 11, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000232 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snc when three letters picked without replacement from ccncnsi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 1842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*g + a, -2*g = 3*a - 2*a + 22. Let p be (g - 1)*34\/(-3). Suppose -4*l = -2*l - 34. Calculate the greatest common divisor of l and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(42)\/(sqrt(12)\/(sqrt(6)*1)))\/(sqrt(63)\/(sqrt(18)\/sqrt(2)) + sqrt(112)*3).\nAnswer: 3*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2325 + 593. Let y = 2614 + x. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*n = -204*n - 708. Solve -8*h = n*h - 80 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/(-25) - (-2)\/(-5). Let y = m + -2. Find the third derivative of 2*z**y - 2*z**6 - z**2 + 0*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3685 or 0.008?\nAnswer: 3685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b - -15aa1?\nAnswer: 15b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:54 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**4 + 477*g**3 + 840*g**2.\nAnswer: 72*g + 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 16*i + 19. Let r be d(15). Let v be (42\/12)\/(1\/r). What is the highest common factor of 56 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633507262?\nAnswer: 2, 23, 29, 239, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1175017699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 45. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + -791?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 7*w - 11. Let o be b(4). Suppose 3*q + 23 = 5*u + 30, -4*q + 56 = 5*u. Calculate the greatest common divisor of o and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9)\/w*w)\/w)\/w**(-1\/15)*w**(12\/11)\/(w\/w**(-3\/11)) assuming w is positive.\nAnswer: w**(-442\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*j**2 + 14*j**3 - 84*j**2 - 86*j**2.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28740.\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjcddcdgrgcbdrddjc. Give prob of picking 2 j and 2 r.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/5)\/((-6)\/15). Let s = 93 - 93. Suppose h = g*w - 399, 4*h = -s*h. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -12, -5, 4, -7 in ascending order.\nAnswer: -12, -7, -5, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 2. Let b(z) = z**2 - 6*z + 3. Determine 3*b(c) - 4*n(c).\nAnswer: 3*c**2 - 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123013 (base 4) to base 14.\nAnswer: 8bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = i - 5*s, 0*i = -4*i - s + 30. Suppose i*a = -2590 + 7438. What are the prime factors of a?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/6 + 15464*j**4 + 2151939269*j**3\/6 - 2152743449*j**2 - 5738504760*j + 34439936400 = 0.\nAnswer: -46395, -4, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -44*s**2 - 8*s + 0 + 11 + 46*s**2. Let m be f(3). Solve m*j + 1 = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8464 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*c = 371, -3*c + 1407 = -5*x + 557. Let j = -170 - x. Solve j*s - 12 = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(11) - sqrt(44)) + sqrt(11))**2.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/4 + 15*g\/4 - 7\/2 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -2*a + 4755, -v - 7124 = -3*a. Is 2375 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.1476 and 43.420669.\nAnswer: 34.273069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 428, 376, 282, 134, -80, -372, -754?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a + c20b?\nAnswer: c348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c + 24656*c**3 - 24653*c**3 - 10*c + 43*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5277585 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 1) - -2 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 15. Suppose 3*x - z - 44 = 0, -3*x = z - 25 - l. Suppose -i = 4*g - 24, 3*i - x - 123 = g. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*3*24\/(-684)*2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drwddddadtdrrdadd. Give prob of picking 2 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8666 + 8666 - 4*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28120088, 56240175, 84360262, 112480349?\nAnswer: 140600436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56144 - 0?\nAnswer: 56144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12465*g - 83783 = 153052 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:49 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 14 - 0\/(-1). Let k(o) = -j*o + 12*o - o. Let w(f) = 2*f. Let i be ((-3)\/(-2))\/((-21)\/(-70)). What is i*w(n) - 12*k(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857305 divided by -5.\nAnswer: -171461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 11*c - 11. What is x(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-21)\/70)\/(6\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g - 12 = 64*g. Factor 3 - 76*h**3 + 3*h**5 - 81*h**2 - 27*h**4 - 3 + 157*h**g.\nAnswer: 3*h**2*(h - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 4}. What is prob of sequence ikki?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3629 (base 15) to base 2.\nAnswer: -10110011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10063640 to the power of 1\/2, to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103094 = -83*r + 104339 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put -9, -344, 0.228 in descending order.\nAnswer: 0.228, -9, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Suppose -p*f = 4*t - 20, -1 = 4*t - 7*f + 4*f. Solve -3*u - t = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-6)*((-8)\/(-14) - (58 - 105224\/1764))\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 + 8*w**3 + 7*w**2)*(3 - 2 + 0)*(218 + 154 - 319).\nAnswer: 424*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*w + 107, 4*w + 10*w - 21*w + 115 = -4*w + 5*j for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000629341 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35706093*4\nAnswer: -142824372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 + 4*b - 3. Let r be c(3). Suppose 6*l - 8*l + 30 = 0. Let z = l - r. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 4. Let p(u) = -u + 5*u - a*u. Let x(o) = -2*o. Determine p(x(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1423 - 3*c - 3*c**2 + 1432*c**3 + 1423 - 322*c**3 + c**2 - 2845 to a + z*c + m*c**2 + y*c**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(7) + sqrt(28) - sqrt(7)) + 2)*3)**2.\nAnswer: 18*sqrt(3) + 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -2365*j**3\/6 - 5403*j**2\/2 + 2857*j. Find the first derivative of i(f) wrt f.\nAnswer: -2365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258084 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/22800 and -101\/12540?\nAnswer: 250800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*(120 + 171*l - 120) - 150 + 150 + 6*l + (l - 2*l + 0*l)*(-4 + 0 + 3) + l + 4 - 4 to b + f*l and give f.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**(13\/3) assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -0.5, 1\/6, 2 in descending order.\nAnswer: 6, 2, 1\/6, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 4. Let z be c(0). Let y be (4\/16)\/((-2)\/z). Let s = -2948 - -2947.7. What is the nearest to -1 in s, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*h + 40 = -400*h. Suppose 4*k + 5*x = 0, -2*k + 4*k - 26 = 4*x. Calculate the highest common factor of h and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.64 times -458?\nAnswer: -9911.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-7150)*(-700)\/(-14)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/60*((-22)\/231 - 1530\/(-189)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 - -0.7. Let q = 90 - 189. Let p = 99 + q. Sort 3, p, c, 1\/8.\nAnswer: p, 1\/8, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (-9 + 1 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/10*(-1 - 3\/(-2)). What are the prime factors of (18 - 16)\/(d\/117)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iigggggiii.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2031 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*q - n, 44*q + 3*n - 3 = 45*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose h*g = 3*g - 6. Suppose -z = -3*o - 3*z + 62, 0 = -g*o - 2*z + 44. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -2\/215, 3, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.26718m in micrometers?\nAnswer: 53267180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1.4, 3\/8, -0.2, 7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (288430 + 0)*(-538)\/(-5380)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Suppose -4*d + 628 = -2*w + w, -m*d - w = -464. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315ad9 (base 14) to base 16.\nAnswer: -1972af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148971827.\nAnswer: 1061, 140407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -0.5, -0.1, 4\/5, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 447206370.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 1, c: 2}. Give prob of picking 1 u and 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*28127.\nAnswer: -8438.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 8 = 2*d + 29, 3*d + 4 = 2*f. Suppose 0 = -f*c + 1076 + 89. List the prime factors of c.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2611700 to the nearest ten thousand.\nAnswer: 2610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 120.9 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 + 6*i + 8. Let z be h(7). Suppose -1 = 3*l - 4. Let d = 6 - l. Sort z, -4, d in descending order.\nAnswer: d, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9 - 6*b + 2*b + 11 + 5*b + 2. Let k be r(16). What is the greatest common factor of 342 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -2a?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -6.15536\nAnswer: 73.86432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:39 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0. Suppose 0*u + 11 = u. Suppose 0 = v + 2*g - 3, 2*v - g + u = 2. Put v, 2\/11, r in decreasing order.\nAnswer: 2\/11, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**7\/1260 - 55*o**4\/4 + 118*o. Let a(i) be the third derivative of b(i). Let h(x) = -178*x**2. Give a(h(w)).\nAnswer: 63368*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164947 and 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 3*p - 15 + p**2)*(-7 - 2*p + 7).\nAnswer: -2*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**2 - 3*z + 3. Let n = 10 - 19. Let u(q) = q - 2 + 0 + 5*q**2 + 0*q. Let p(f) = n*u(f) - 4*d(f). Give p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f - 8. Determine o(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34640306?\nAnswer: 2, 19, 151, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4, l - 5*d + 10*d + 17 = 0. Let u(c) = -8 - 2*c**3 + c**3 - 3*c - c + 7*c**2. Let y be u(6). Solve y*m = 5*m + l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 802*q - 803*q + 11*s - 44, 5*s - 15 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630 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: Calculate 691.1*-0.15.\nAnswer: -103.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.9+99634\nAnswer: 99635.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*n - 40 = -77*n. Suppose 0 = -2*i - 6, i + 27246 + 27481 = n*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-3) + (-264)\/(-36) + -7. Solve -2*a + k*y = 4, 3*a + 2*a - 5 = -5*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**2 - 5*r + 16. Let m(b) = -9*b**2 + 7*b - 24. Determine -5*m(j) - 7*s(j).\nAnswer: 3*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:13 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -41?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 15469.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, -128.1, 0.4, -3.\nAnswer: -128.1, -5, -3, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 25 = 0. Suppose -a*h = 2*o - 9 + 1, 4*o - h = 60. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0342 times 0.2\nAnswer: -0.00684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 4*r + 1. Let t be u(-3). Suppose 4 = -t*f + 4*i, f = 5*f + 4*i - 12. Which is greater: -1\/6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156591545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76319 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 36 = -5*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1562 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2422214 (base 8) to base 11\nAnswer: 414458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3174, 2638, 2102, 1566, 1030?\n\"Answer: -536*w + 3710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-5) - -3 - 0. Let g(b) = 21 + w*b - 71 + 122 + 2*b. What are the prime factors of g(-27)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 + 906. Calculate the remainder when d is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 11*t**2 + 5*t + 8. Let k be f(6). Solve -k*v + 3 = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/169? (a) 19 (b) -4 (c) -2\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let s(y) = 3*y + 15 - 15. Give s(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 53*c - 77. Calculate the remainder when y(23) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04985584606 to three dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 5\/(-2))*-6. Let w = 8675 - 8670. Which is the smallest value? (a) -0.02 (b) w (c) s (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 23650.12 grams?\nAnswer: 23.65012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 241 - 33a812?\nAnswer: -33a581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(2*(-2)\/20). Let a = 3\/26 + 37\/130. Find c such that a*c**v - 4\/5*c - 8\/5*c**3 + 0 + 2*c**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 19*w - 24206. Calculate the greatest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/200 - 7*m**5\/50 - 14*m**4\/5 - 16*m**3 - 316*m**2 + 3*m - 1. Factor w(k).\nAnswer: 3*(k - 20)*(k + 2)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/(-165))\/((-14)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 9*x**2 + x + 7. Let m be a(9). Suppose l = -14 + m. Suppose 0 = 3*n + 2*w - 17, -w = 3*n - 0*w - 16. Sort n, l, -6 in descending order.\nAnswer: n, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 2. Let v be b(-3). Suppose 6*c - v*c = 0. Suppose 5*y - 55 = -c*y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -90 in descending order.\nAnswer: 4, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 12, 44, 110, 222, 392, 632, 954?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 249202301611.\nAnswer: 249202301598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5364, -10763, -16162?\nAnswer: -21561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4 + i - 8 - 2*i + 11. Let x(j) = -14*j - 10. Give -12*l(g) + x(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027208 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:54 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 - 17 = 0. Suppose 3*l - r = 5*l, 3*y - 4*l - 21 = 0. Suppose -2*z = 5*w - 7, 5*z = -w + 2*w - 23. What is the lowest common multiple of y and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 - -24020321?\nAnswer: 24021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125908 or 125909?\nAnswer: 125908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2 - 3629*c + 9335 wrt c.\nAnswer: -2*c - 3629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgrsrqsrsr. What is prob of sequence srs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 2, j: 5, s: 1, b: 1, k: 1}. Give prob of sequence ejp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 9. Let z be o(9). Suppose -5*l - 4*l + 108 = z. Let u = -53 - -112. What is the remainder when u is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-136)\/20 + 2)*-10. Calculate the common denominator of -36*(2 - 105\/n) and 21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 134*q**2 - 66*q**2 - 2*q + q**3 + 0*q**3 + 3 - 65*q**2. Let v be (-6 + ((-20)\/5 - -15))*-1. What is s(v)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 455?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j = -2*u + 156, 5*j = -u + 78. Let v be (2 + u\/(-40))*-1029. Let b = v + 306\/5. Find the common denominator of b and -47\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1125193629.4 + 171196396.4. Let v = -953997241.00000094 - q. Let t = -8 - v. Round t to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32714 + 30970 = 218*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-42))\/(40\/(-12)). Let l be (-2091)\/(-315) + -3 + -4. Let f = g + l. Put 1\/6, f, -8\/5 in ascending order.\nAnswer: -8\/5, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*f - 17, -3*f + 206748*y = 206742*y + 54 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37071 + -188144\/5. Let j = 960 + -398. Let n = j + m. Calculate the common denominator of 34\/35 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10241266.3 and -0.1?\nAnswer: 1024126.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222211012 - 2?\nAnswer: -2222211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) 0.4 (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**4 + o**3 - o**2 + 1. Let g(q) = -44*q**4 - 6*q**3 - 171*q**2 - 6. Let l(n) = g(n) + 6*s(n). What is the third derivative of l(f) wrt f?\nAnswer: -912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, t: 12}. What is prob of sequence nntn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4751*k**2 - 21*k - 2015491 wrt k.\nAnswer: 9502*k - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/4 of a milligram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**5 + q - 3*q**5 - q**5)*(218 - 15 + 18).\nAnswer: 442*q**5 + 221*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -625789*d*o + 285627*o with respect to d.\nAnswer: -625789*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 411 and 8?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457141*t - 229822*t - 228728*t to q*t + b and give q.\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -135027685 divided by 5?\nAnswer: -27005537","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*-3 - sqrt(88))\/sqrt(8) - sqrt(11)) + sqrt(1100) + sqrt(1100) + 1*sqrt(1100))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -46883, -1\/4, -0.2, -5, 12 in descending order.\nAnswer: 12, -0.2, -1\/4, -5, -46883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021097046 rounded to 5 dps?\nAnswer: 0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*k**3 - 10*a*k**2 + 45*a*k + 159105*k**3 - 179 wrt k.\nAnswer: -12*a + 954630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.0713cm in meters?\nAnswer: 2.650713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -564*b**3*y + 199*b**3 + 8*b**2*y - 22*b**2 - 2*b*y - 9 wrt y.\nAnswer: -564*b**3 + 8*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -45. Let a be (-2)\/(8\/i) - 3. Let y(o) = -o**3 - 4*o**2 + 6*o + 7. Let t be y(-5). Solve a*x = -t*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 8*j - 8*j + 9*j.\nAnswer: -7*j - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10822, 10834, 10852, 10876, 10906?\nAnswer: 10942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 7*d**6\/30 - 35*d**2\/2 - 20*d. Differentiate q(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6271*p*s**2*x - 5*p*x + 5*p + s**3*x + 6 wrt s.\nAnswer: -12542*p*s*x + 3*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 8*d**2 + 51*d + 119. What is the thousands digit of r(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + 3 - 6*k - 6 + 7*k - 2*k**2 to r*k**4 + p + d*k**3 + x*k**2 + n*k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 19 = -4*y + m, -3*y = -2*m - 8. Let f(d) = -5*d**2 + 2 - 2 + y*d**2. Let q(k) = -k. What is q(f(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 157*f**2. Let t(v) = v**2 + 4*v. Let i(l) = l**2 + 6*l. Let r(j) = 4*i(j) - 6*t(j). What is p(r(z))?\nAnswer: 628*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.09 - -0.09. Let i = -4 - w. What is the second biggest value in -5\/3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*n**3 + 202*n**3 + 27*n**3 - 2*n + 31*n**3 + 1048 + 3*n wrt n.\nAnswer: 2052*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s + 50. Suppose -5*x + 15 = -s. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146171*c**2*i + 3*c**2*v**2 - 2*c*i*v**2 + 3909207*i*v**2 wrt c.\nAnswer: 292342*i + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 578 + 195 + 190 - 127*s.\nAnswer: -127*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44181, 176874, 398035, 707670, 1105785, 1592386, 2167479, 2831070?\n\"Answer: i**3 + 44228*i**2 + 2*i - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 12. Let l be a(-3). Suppose 5*r + 3*y - 3645 = y, l = 4*r - 5*y - 2883. Suppose -r = -7*g - 111. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*r + 41 + 101 - 1 - 16*r**2 - 43*r**2 wrt r?\nAnswer: -118*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/1848*-11)\/(-1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-2*s + 5 - 5)*(1436 - 11898 - 24444) in the form p*s + k and give p.\nAnswer: 69812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 3*a - 1. Suppose -x = 4*x. Suppose 5*g + z - 6*z - 40 = x, -5*z = -4*g + 37. Let c(f) = 1. Let p(t) = g*c(t) - n(t). What is p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 4*m**4 + 19*m**4)*(-2 + 2 - 2).\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5184 = 178*o + 686*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-2*v - v - v) + 2*v + v - 2*v + (2 - 2 - 2)*(v - 2*v + 0*v) + 0*v - 4*v + 3*v + 2*v - 3*v + 2*v + 0 + 0 - 3*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/7)\/(((-144)\/(-9))\/16)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.62, 0, -7\/9, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 + -0.43971.\nAnswer: 215.56029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15885 - 6*t + 31773 - 15888. Let s(h) = 16*h. What is s(d(r))?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 316*q - 5640.\nAnswer: 4*(q - 15)*(q + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113345388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/153 and 150\/200*((-388)\/(-36) - -4).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 7. Let a be j(5). Let l(p) = p**3 + 27*p**2 + 2*p + 59. Let n be l(-27). Let m(g) = 3*g - g**2 - 6 - 4*g**3 + 7*g**2 + n*g**a. Determine m(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1155 and 9?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-19)\/n**(4\/7) assuming n is positive.\nAnswer: n**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27 + 3348\/81 + (-1)\/3. Solve -7*o + 7 = -a*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357655, -715310, -1072965, -1430620, -1788275?\nAnswer: -2145930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*y + 6 = 0, -5*t = 2*y + 15 - 51. Is 214\/t + (-4)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*v + 11. Let x(k) = 193*k**3 - 2*k + 1. Let f be x(v). Let s be 2\/2 + -3 - f\/(-108). Which is smaller: 27 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.918 + -2.082. Let s = -11 - -15. Put s, h, 3 in descending order.\nAnswer: s, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.1, -14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:39 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13869, -27748, -41641, -55554, -69493, -83464, -97473, -111526?\n\"Answer: -c**3 - c**2 - 13869*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 + 4*p + 3. Let o be x(-3). Do 1\/146 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = 108*r + 2106 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 171*i + 2851. Calculate j(41).\nAnswer: 883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/81 in 1, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 64 = 108 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Which is the closest to 0.1? (a) 0.28 (b) -1 (c) -0.14895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17148181, -34296365, -51444551, -68592739?\nAnswer: -85740929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1542500\/(-30)*(-9 - (-3 - -3)). Let i = a - 259650. Round i to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2810407.749 and 73946.\nAnswer: 2884353.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/(15\/20)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(21\/(-765)) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/2)\/((-1)\/23). Let x be 10\/(-4) + (-5)\/(-10) + 1451. Suppose x = 31*d - 24*d. Calculate the greatest common factor of d and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4638705 and 5865?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -122800 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3.1, -0.01, 1.4, 0.1, -2?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1516 divided by 47\nAnswer: 1516\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970, 1961, 2976, 4027, 5126, 6285?\nAnswer: 7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -5, -3, 7 in increasing order.\nAnswer: -5, -3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/(v*v*v\/v**(-1\/4)))**17)**(10\/9) assuming v is positive.\nAnswer: v**(-2125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 1. Let n be u(-1). Suppose n*q - 33 = -5*b, -4*q + 45 = 5*b + q. Suppose 2*i + 555 = 5*f, 0 = 4*i - b*i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, q: 11}. Give prob of sequence lq.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-0.45009\nAnswer: 0.0765153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(931) + 4.\nAnswer: 2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 - 558. Let s = -284 - k. What is the third biggest value in -0.63, -1\/7, s?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10882567.91 to the nearest 10000.\nAnswer: -10880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29319.15m?\nAnswer: 29319150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 188 = -4*d, -7*d - 129*f + 130*f - 320 = 0 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 26 = 6*d - 3*d, 3*g = -2*d - 34. Let l(y) = y**3 + 9*y**2 - 8*y + 22. Let i be l(g). Solve 2*u = -i*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 5*j + 3. Suppose 42 - 6 = 3*c. Suppose 3*n = -0*n + c. Calculate h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3121 + 19045. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*l*w**2 + l*w - 19156*l - 3*w**2 wrt w.\nAnswer: 90*l*w + l - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**3 + i**2 - i - 1. Let q be d(-1). Suppose 2*t + 42 = 5*p, p - 2*p + 4*t = q. What is the greatest common factor of p and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/125 and 8\/25?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -55158 divided by 6?\nAnswer: -9193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*q**5 - 4*q**4 - 358*q?\nAnswer: 780*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3682.\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-100)\/15 - (-28)\/6. Solve -j*a + 6 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 3}. What is prob of sequence eses?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4609.3 and 0.933.\nAnswer: -4300.4769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.21 + 4.79. What is the closest to 10\/7 in l, 2\/3, -1\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2751 and 330120?\nAnswer: 330120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 4540 = -15*m. Let w = m + 5407\/6. Calculate the common denominator of w and -55\/258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 206315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(1872))*3)**2 + (sqrt(1872)*-1 + -5)**2 + -5.\nAnswer: 3576*sqrt(13) + 271604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 28 - 25 + 10 + 4*m**3 - 4*m**3 - 2*m**3 + m**3 + m - m + (0 + 0 + 2*m)*(-2*m**2 + 2*m**2 - 2*m**2).\nAnswer: -4*m**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2.39558 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*v + 3*l, 35 - 40 = -3*v - 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 - 2016*q**3 - 626100*q**2 - 54799472*q + 289903110 = 0. What is q?\nAnswer: -427, -159, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4203*a + 3347*a + 10240*a in the form x + n*a and give n.\nAnswer: 17790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13461?\nAnswer: 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 168.455. Let j = o + -0.26. What is j rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2974 + 0.973. What is d rounded to two decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 - 2460*w**3 - 7368*w**2 - 7364*w - 2454 = 0. Calculate w.\nAnswer: -1227, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*z = -10, 5*d + 2 = -z - 4. Let y = -190205\/7 - -27172. Which is the closest to d? (a) y (b) -0.2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 467030.\nAnswer: 1401090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5967251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-20 - -7 - -32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-390)\/39*2\/(-12)*-1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 20. Suppose -2*g = -5*i + 4, -i = -h*i - 4*g - 8. Solve -4*q + v - 10 = -3*q, 5*q + 5*v = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:19 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 453.0322 - 453. Let v = 0.0232 - y. Which is the nearest to v? (a) -3 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucc when three letters picked without replacement from {v: 1, c: 17, u: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*(-36)\/((-828)\/(-115))*168\/60?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 23840\nAnswer: -262240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 8)*(-1)\/(-2). Let l = 224 + -154. Suppose -5*t + w = 2*k - l, 2*t = -k + 30. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 3. Let n(a) be the first derivative of a**3\/3 - a**2\/2 - 4*a + 1. List the prime factors of n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 3912?\nAnswer: 39120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -28*f - 1. Let h(m) = -m**4 - m**3 + m + 1. Let t(q) = -7*q**4 + 7*q**3 + 5*q + 5. Let d(n) = f*t(n) - 5*h(n). Solve d(k) = 0 for k.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13906896?\nAnswer: 2, 3, 289727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eorr when four letters picked without replacement from {v: 3, e: 1, o: 2, y: 1, r: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4\/9, -6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.5 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.86 + -0.92. Which is the closest to 0? (a) 1 (b) -6\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041 + 0.2?\nAnswer: 1041.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9 + 0 + 0. Suppose -3 = f - p. Find the third derivative of 69*a**5 + a**4 - 42*a**5 - a**4 - 18*a**f wrt a.\nAnswer: 1620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*p + 514 = 0, 0 = -7*m + 9*m + 2*p - 264. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*l + 10033 - 1642 + 4635 = 0 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44033*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*f - 3*z + 44, f + 3*z - 4 = 0. Suppose f = -14*p + 66. Let h be -6*((-21)\/6 + 1). Solve -5*i + 18 = 2*a - 7, -p*a - h = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -250.394 and -4.\nAnswer: 1001.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 10*g**2 + 9 - g**3 + 9*g + 8*g. Let w be i(-11). Put w, -5, 1 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152.4 + 152.8. Let t be (-8 - -5)*(-2)\/(-12). Suppose g - 6 + 14 = -2*p, 3*g - 2*p = 0. Which is the closest to g? (a) y (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*r + 2*l, -5*r - l + 8459 - 8469 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 - 6*l**2 - 63*l\/5.\nAnswer: -3*l*(l + 3)*(l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -498, -1547, -2586, -3603, -4586, -5523, -6402, -7211?\n\"Answer: 2*n**3 - 7*n**2 - 1042*n + 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -6. Let i be 5\/2*(-13)\/(-1). Let l = i - d. Sort l, 1, 0.01 in increasing order.\nAnswer: 0.01, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 2*u**2 + 0*u**2)*(-86 - 28 + 7 + 2*u) - 2*u**3 - 2*u**3 + 3*u**3 + (-1 + 2*u + 1)*(4 + 3*u**2 - 4).\nAnswer: -3*u**3 + 428*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express (-1031 + 1031 - 24*h)*(-4*h + 5*h - 3*h)*(-6*h**2 + 4*h**2 + 3*h**2) as f*h**3 + b*h**2 + v + t*h**4 + p*h and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6227 + 18963. List the prime factors of v.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163863977.\nAnswer: 67, 1303, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-10 + 14 + 12)*(-4 + 1 + 16)*(0 + 0 + 2*p**2).\nAnswer: -832*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 457872 divided by -457872?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(65)*-6)\/(sqrt(180) + sqrt(180) + (sqrt(180) - -1*2*sqrt(180))).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and 527 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -704, -5, -6 in descending order.\nAnswer: -1, -5, -6, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160557 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23075548 + -30736628267\/1332. Let m = 1\/333 - k. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 8:10 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15087 and 16\/141.\nAnswer: 15087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 62387*r**2. Let a(h) = h**2. Give a(f(v)).\nAnswer: 3892137769*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375657.\nAnswer: 3, 125219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let x be 5*-1 - f\/1. Let q = 4 - 3. Sort -5, x, q.\nAnswer: -5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1311, -1313, -1315, -1317?\n\"Answer: -2*n - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6 = 6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 14*i**2 + 110*i - 767. Let d be x(8). Let o(f) = -40*f - 603. What is o(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bbbtdbfbbbdddbbbb.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9210\/7 - -1316. Which is the biggest value? (a) -2\/31 (b) -4 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2565)\/330 + (-248)\/341.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from vvattzvtat.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*z**3 + 226*z**3 + 86*z**3 + 209*z**3.\nAnswer: 231*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/770 - 142\/28 - (7 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:20 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4\/7 + 28773*k**3\/7 + 402309*k**2\/7 + 718311*k\/7 + 344772\/7 = 0.\nAnswer: -9577, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 27*s**2 - 40*s - 59. Determine m(25).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253304, 253314, 253328, 253346, 253368, 253394, 253424?\nAnswer: 253458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (10 - 2)) + 3 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4013462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 867186 divided by -289062.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, f: 1}. Give prob of sequence fi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 1. Let a be x(-8). Solve -3*j - 13 = 4*u + a, -4*j - 4 = -u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:06 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*f - 7*f - 231*f - 2*f - 7*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(960)\/(-1*sqrt(192)))**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3.1.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, x: 3}. Give prob of picking 2 y and 2 x.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1) + 1)*(-339 + 8). Let b = m - 294. Calculate the remainder when b is divided by 120\/9 + 2\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -3*h - 2073 + 2003. Which is the third smallest value? (a) h (b) -1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779 and 97869.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 19\/74 (b) -2\/13 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/2)\/(s*s\/s**7))**30)**(-12\/11))**(-25) assuming s is positive.\nAnswer: s**(40500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (1 - 1))*1. Let m(z) = -2*z**2 - 738*z - 4352. Let l be m(-6). Let u be (0 - (-1 + 0)) + 15. Solve 3*g - o*i + 12 = 0, g - l*g - i = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 5, -19, -59, -115, -187?\n\"Answer: -8*h**2 + 16*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890275983?\nAnswer: 7, 412896569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 4*d**2 - d - 11. Let q be l(5). Let h = 14 - q. Suppose -h*p + 2*o = -27, 17 = 4*p - p - 2*o. Solve 8 = p*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18707\/2 - 9354. Which is the third smallest value? (a) -3 (b) 5 (c) 0 (d) 2.84 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17651764 or 17651761?\nAnswer: 17651764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*m - 101 = 0, 52*n + 19 + 67 - 35 = 5*m - 52 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 11 = -4*c, 2*c = -t + 38 - 45 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 2*m + 0*m)*(-5*m**2 + m**2 + 3*m**2) - 310*m**3 - 474*m + 474*m to the form u + c*m + o*m**3 + l*m**2 and give o.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -30. Let t(i) = 3*i**2 + 12*i + 9. Let n be t(r). Let l = -19 + n. What is the remainder when 76 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.19523691 + -14\nAnswer: -9.80476309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -6*o - 18. Suppose 0 = -o*k + 3*j - 3 - 4, 0 = 5*k - j + 11. Let q = 5 - 3. What is the closest to k in q, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 5, 2, 398, 0 in decreasing order.\nAnswer: 398, 5, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:28 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*b - 322*b - 24. What is the units digit of (0 - (-3 + b + 1))*-170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840467.84 rounded to the nearest 10000?\nAnswer: 3840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -14*g + 122. What is c(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 154966 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25401 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -54414215 (base 7) to base 11\nAnswer: -26a2769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -26. Suppose q + 5 = 0, -2*l + q + 111 = -4*q. Calculate the remainder when l is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + o = -78, -j = j - 3*o - 39. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvvvuvuvu. Give prob of sequence uvvu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -19 (c) 72 (d) -0.8 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 8*r - 11. Let s be x(3). Suppose -3*b - 22 = -s. Solve m - 1 = 3*o + 2*m, -b*m - 7 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9184.78 to 0 decimal places.\nAnswer: -9185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 5279 + 5279.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - 17. Let x = -32 - r. Solve -5*w + w + 4*c = 8, -x*c = 3*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -102*p - 4820. Calculate q(-44).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - 8) + 8 + 5. What is the greatest common factor of 425 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -24, -5, 35, -31, -1 in descending order.\nAnswer: 35, 19, -1, -5, -24, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79660 and 104.\nAnswer: 2071160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 9 = -12266*s + 12271*s, 4*s - 3*q = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -39444.195?\nAnswer: -78888.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.7 - -6. Let t = -2072 + 2087. Let m be (-2)\/(-3) + 28\/(-33). What is the second biggest value in 0, c, t, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**2 - 1 + 1.\nAnswer: -55*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**2 + 85182692*g + 42591344 = 0 for g.\nAnswer: -10647836, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -953*s + 12187. Give z(13).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 20*v**2 + 14*v - 90. Let f(w) = w**3 - 2*w + 1. Let m(x) = -5*f(x) - u(x). Calculate m(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380\/3 - -128. Let n(i) be the second derivative of x*i**3 - i + 1\/6*i**4 + 0 + 4*i**2. Factor n(j).\nAnswer: 2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:11 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540076423?\nAnswer: 3, 10069, 84089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -333244234 (base 5) to base 3\nAnswer: -2202022002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268062 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 48*r**2 - 10*r + 3*r in the form d + h*r + q*r**2 and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466.02 - -149090.\nAnswer: 148623.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2. Let b be z(3). Let v be (2 + -2)\/4 + b. Is v - -555 - (0 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1206, 1214, 1222, 1230, 1238?\n\"Answer: 8*a + 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 >= 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -3. Suppose 2*p = -5*z - 25, p - k = 3*z - p. Let y(w) = 2 + 5*w + 4*w**2 - 2 + 3. Let j(a) = -7*a**2 - 9*a - 5. Give z*y(m) - 3*j(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-2))\/((26\/4)\/13)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(20\/(-41 + 21)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-10)\/(-8))*1. Let u(b) = -11*b**3 - 2*b**2 + 3*b + 10. Let q(r) = -5*r**3 - r**2 + r + 5. Let z(n) = w*u(n) + 9*q(n). Is z(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -274 + 274.05. Sort 3, w, 1 in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29833*j*w**2 + 2*j*w - 4813*j - w wrt w?\nAnswer: 59666*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, f: 1, q: 1, s: 1}. Give prob of picking 1 q and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.65086um to kilometers.\nAnswer: 0.00000000565086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2146*a**2*s - 2*a**2 - a - 5*s - 25 wrt a.\nAnswer: -4292*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -57*v**2 - 995*v + 1983. What is r(2)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5240 + 552.\nAnswer: 5792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/5220*-29 - (-16548)\/1323?\nAnswer: 86\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = x, -2*u + 3*u + 3*x = 18. Let c(y) = 2*y - 1. Let b(t) = 4*t - 2. Give u*b(k) - 5*c(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16324 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 195 + 195. Solve -5*o = 3*l + 4, -5*l + 18 = -r*o - 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305806288 is divided by 4346.\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 2*c + 42 = 0, 4*z + 2*c - 178 + 188 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1205045 - 5162412685\/4284. What is the common denominator of 59\/357 and z?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-6)*(-169)\/(-2197). Solve 0 + 3\/2*l**4 + 2*l - 5\/2*l**3 - 3\/2*l**2 + k*l**5 = 0 for l.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256163 + -721563. Round j to the nearest 10000.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (2*sqrt(114))\/sqrt(6) + 5.\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*g + 443*g + 28512 = -591*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300616805.\nAnswer: 3, 5, 367, 236261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 + 3\/3. Suppose 0 = -2*h - 2*v + 4, 3*v = 0. Suppose -5*y - 10 = h*m, -3*m + 2*m - 5 = -4*y. Solve b = 3*g - 2*r - 1, y = -4*g - 5*r - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {d: 1, r: 3, h: 4, t: 2, o: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -357, -534, -711?\n\"Answer: -177*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 9*t - 133. Let v be z(-38). Let i = 22265\/18 + v. Find the common denominator of i and -101\/628.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 10. Let w(l) = l + 5. Let d be w(s). Let q = 17\/36 + 5\/18. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -708 + 712. Let n(y) be the first derivative of 7 + 3*y**2 - 6\/5*y**5 + 0*y + 0*y**3 + 0*y**p. What is the second derivative of n(j) wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -16. Suppose h*o + 2*o - 4500 = 0. Round o to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/3 + 29*x - 1862\/3 = 0.\nAnswer: 38, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -4 - (-27 + (6 - -5))) + 34 + -2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16520 rounded to the nearest one hundred?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*0\/(-3). Let o(l) be the second derivative of 1\/20*l**5 - 1\/3*l**3 + u + l + 3\/2*l**2 - 1\/3*l**4. Calculate o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -68, 2, 3, 5, -5 in increasing order.\nAnswer: -68, -16, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 2. Let q be s(-5). Suppose -3*h + 164 = -q*h. Let b = 94 + h. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -7)\/((-1)\/2). Let j = o - 0. Calculate the highest common divisor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 37 = l + 54, 4*v - 4*l = 188. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159699418 to the nearest integer?\nAnswer: 12637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = 425. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 9658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226, -225, -224, -223, -222, -221?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 4*l - 8. Let a(v) = v**2 - 8*v - 14. What is -3*a(t) + 5*x(t)?\nAnswer: 2*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/10 + 29*l**4\/24 - l**3\/6 + 11*l**2 - 4. What are the prime factors of f(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1779*a**4*w - 5*a**4 - 2*a**3*w - 4*a**3 - 69*a**2 + 2*a*w - 60180 wrt a?\nAnswer: 42696*a*w - 120*a - 12*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59388, -236935, -532838, -947091, -1479688, -2130623, -2899890, -3787483?\nAnswer: -4793396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-2775)\/(-18500) - 147317\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 12. Let z(o) = -4*o - 36. Suppose -165*h + 99*h - 132 = 0. Determine h*z(i) - 7*y(i).\nAnswer: i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.923 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7915\/7 + -5811\/7. Let z = v - 300. What is the second biggest value in 0.2, 0, -0.1, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.131 and -0.7.\nAnswer: -0.0917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 118*v - 158 - 111*v + 2*v**3 - 6*v**2 + 161. Suppose -3*y + 4 = -2*y. Let b be i(y). Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156107, 312207, 468307, 624407, 780507?\nAnswer: 936607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(18\/(-3) - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27885239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 1. Let z(n) = -n**3 + 2*n**2 + 4*n - 2. Let i(f) = -b(f) + z(f). Let x = 105048 + -105045. What is i(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38998512 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4\/9, 7, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/15 and 7\/(-399)*(-1001)\/(-275)?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6*m + 13. Let n be z(-7). Let p(i) = 2*i + 1. Is 8 a factor of p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 62*x - 29. Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -120*z**3 - 2 - 128*z + 52*z + z**2 + 74*z. Is t(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4271, -8493, -12659, -16757, -20775, -24701?\nAnswer: -28523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 195 = 70*n - 12*n. Solve -o - 36 = -3*v - 45, n*v + 29 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444248?\nAnswer: 2, 3, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, i: 5}. What is prob of sequence iijj?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3729*y - 63. Let j(h) = 11186*h - 169. Calculate 3*j(u) - 8*k(u).\nAnswer: 3726*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/434 and 103\/6?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-23 - -21) + 4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 26\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13083 and 0.24050111?\nAnswer: 13082.75949889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453702226.\nAnswer: 2, 3, 139, 2942089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:35 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3786 - -8964. Let y be (-11)\/(11\/o)*40. Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 - d**2 + d**2)*(-d - 2*d + d)*(-7 + 7 - d) to v + k*d**2 + g*d**3 + j*d + m*d**4 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5076 = -48*u + 30*u. List the prime factors of u.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 35*x + 238. Let n be i(6). Is (94 - 0) + 3\/(11 + n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.6 - -352.6. Let k = g - 299.686. Round k to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -656 + 652. What is the closest to 2 in d, -0.2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 4*k**3 + k**3 + (-7 - 10 + 4)*(-1 - 10*k + 1)*(1 + 3 - 5)*(2*k - 2*k - 2*k**2) + 5*k**3 - 3*k**3 - k**3.\nAnswer: 266*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2\/8 - 2413*a\/2 + 5822569\/2 = 0.\nAnswer: 4826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, -2\/7, 0.06?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 2, 18, -10, 5 in descending order.\nAnswer: 18, 5, 2, -1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13735 and 41615?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*c = 3 + 34, -2*c - 13 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 141488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 1, t: 3, o: 1, d: 5, m: 2}. What is prob of sequence mddd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.063, 1\/4, 4\/185?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 4*t + 2 + 0*t)*(1 - 1 + 2*t) to the form o*t**2 + w + a*t and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6505 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*m - o, m - o + 4 - 5 = 0. Suppose y = g - 3*g + 15, -m*y = -4*g - 25. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 36*h**2 + 68*h + 4. Give q(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (91 - 742)*(-11)\/3.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-364)\/(-1200) + (6\/9 - 1). Is l not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u*u**(-13)*u*u*u)**46\/((u*u**(-2\/5)*u)**(-11)\/((u\/(u\/u**(1\/3)))\/(u*u**3\/u))) assuming u is positive.\nAnswer: u**(-13576\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1232 = -23*c + c. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2031 and 5?\nAnswer: 10155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udw when three letters picked without replacement from dwu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 176557 divided by 3\nAnswer: 176557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.68 + -842.9867.\nAnswer: -839.3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 85716923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 + 6*l + 13. What is a(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.19 and -2111?\nAnswer: 2111.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/5, -1868734, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.36347 millennia?\nAnswer: 6363.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3 - 48*z**2 - 166*z - 120 = 0.\nAnswer: -20, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16)\/((q*q**(-20))\/q)*(q*q*q**(1\/11))**(-16) assuming q is positive.\nAnswer: q**(-324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15004432 divided by 3751108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 42*o**2 + 23*o + 13. Is k(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14234?\nAnswer: 2, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 27283 - 24182 = 645. Is q a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203055 is divided by 781.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 117. Let y(m) = 11*m + 234. Give 9*s(i) + 4*y(i).\nAnswer: -i - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 20*g + 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.243 - -3.95. Round r to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -35. Let u(y) = c*y + 10 - 23 - 1 - 7*y. What are the prime factors of u(10)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**8\/30240 + i**7\/1890 + i**6\/360 + i**5\/15 + i**4\/6 - 67*i**2. Let h(k) be the third derivative of d(k). Factor h(j).\nAnswer: 2*(j + 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 minus 0.0375?\nAnswer: -236.0375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2074, -105 in increasing order.\nAnswer: -2074, -105, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/2 - 1037699*d\/2 - 3113115 = 0. Calculate d.\nAnswer: -6, 1037705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*l + 39*l = 273*l + 6272 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -182 - 70. Solve 0 - a = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**3 - 7*k**2 - 159*k - 775. Give x(-5).\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 6)*4\/12. Let h be p - 1 - (0 + -3). Solve h*q + 2 = -z - 9, 3*q = -3*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:56 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 + 22*u**2 + 3 + 39*u**2 + 2*u + 4*u in the form a*u**2 + s + x*u and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402.7 + -403. What is the closest to -2\/15 in -2, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373052074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*a + 242, -8*j - 348 = -11*j - 3*a. What is the remainder when j is divided by (-4)\/(-6) - 16\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, g: 7, j: 2}. Give prob of picking 1 m and 2 g.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g = -104*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4340 and 207886.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1307297615 and 10?\nAnswer: 2614595230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1.8 (b) -2\/107 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9095\/5068 + 21\/181. What is the common denominator of h and 43\/392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9211655.57 to the nearest 100.\nAnswer: 9211700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12 - (-5)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3864?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Sort d, 5, -3 in decreasing order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 12*f**2 + 13*f - 7. Let c be y(-11). Let l be (-18)\/81 - c\/9. Suppose l*d - 66 = 4*v + 104, -5*d = 3*v - 322. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p - 2*p + 3 + 0 + p + 0 + (4 - 6 - 1)*(0 + 2*p + 0))*(-2*p**3 + p**3 - 2*p**3).\nAnswer: 18*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.1 - -8.338. Let q = -0.338 + x. Which is the closest to q? (a) -0.3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7407*z + 36780. Give v(5).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/(-396)*28\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 20, 4*n + 5 = -b - 13. Sort -4, 5, -14, b in descending order.\nAnswer: 5, b, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389\/4 + 1171\/12. What is the second biggest value in j, 798, -2\/5, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-20*(-9)\/1368*34\/85).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 - -194. List the prime factors of 18\/(-14) - k - (-205392)\/336.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 594323*b = 0.\nAnswer: 0, 594323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 6. Let b be o(11). What is the remainder when 1*71 + b\/9 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -112*f + 114*f - 5, -u + f - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16539314, 33078647, 49617998, 66157373, 82696778?\nAnswer: 99236219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkqlklklqbkklkl. What is prob of sequence qkqb?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 384.6 and 26255806.\nAnswer: 26256190.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 3*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 121001211001 (base 3) to base 5\nAnswer: 40110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, w: 1, t: 2}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 12086*x - 36517849.\nAnswer: -(x - 6043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -531 from -0.4.\nAnswer: 530.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.79063036 to three decimal places.\nAnswer: 1.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -275*t + 6580. Determine b(24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 126758.\nAnswer: 12675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082893 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309.32964917 take away -0.29?\nAnswer: 1309.61964917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 105. What is the smallest common multiple of 16\/g - (-66)\/14 and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-37)\/(-370)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15022, 10809, 6592, 2371, -1854?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 147 - 604?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(sqrt(200) - ((sqrt(200)*-4 - sqrt(200)) + sqrt(200)))**2 - (-4*sqrt(200)*-1)**2 - (-2 + (-5 + (sqrt(200) - (sqrt(200) + -1)))**2)*6).\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 11*v - 13. Let a be b(-12). Let m = 4 + a. Solve 0 = -0*f + f + 4*h - 9, h = -f + m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/11 and -67\/2536.\nAnswer: 27896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16681146 and 794.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 (base 8) in base 4?\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b + 64. Calculate j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415694424 to the nearest integer?\nAnswer: 20389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425.25611 + -386.2101. Let g = -46.1485 + v. Let r = -7.1 - g. What is r rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - o - 2. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-14 - (7 - 15) - -43 - -17)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -31\/2, 5?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 6. Let y be r(6). Let f = 611484\/7 - 87355. Is f at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = -20. Solve -3*y - 15 = -l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(7) + (sqrt(448)\/sqrt(4) + sqrt(7))**2.\nAnswer: sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305299123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -20 - ((3 - -13) + -16)) + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 320\/3*j + 1\/9*j**3 - 478\/9*j**2.\nAnswer: j*(j - 480)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/30)\/(1\/(-5)). Suppose 0 = -h*m + 6*m + 8. Let l be 0 - (-1402 - (0 + m)). What is l rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 5 (c) 179\/103 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -166532 times 0.19\nAnswer: -31641.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (11 - 12 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -8. Suppose 5*a - r - r - 11 = 0, q*a - 2*r = 5. Solve -7 = a*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 3, l: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3042 + -2133. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12736 is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 25 = 5*m, -6 = -3*m + 5*p - 29 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1230 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1076083, -0.5, 1, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22888751?\nAnswer: 313, 73127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*l - 27, -87*l - 5*b + 45 = -90*l. Solve 3*a + 4*m + 1 = 5, l = 2*a + 5*m - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - o)*(1 + 0 + 1)*(3*o + 0*o - 5*o)*(14 + 9 + 7) in the form q*o**2 + w + t*o and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + r - 1. Suppose -5*x - 18 - 12 = 0. Let d = 7 + x. Let u be v(d). Solve j - 3 = 3*s - u*s, -7 = -j + 3*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:09 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -1, 75, 0, -15\/13, -2\/13, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from twwwwwt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2406 + -2407. Let k be -2*(2\/(-26) + 0). Put -4, k, d in increasing order.\nAnswer: -4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/2 - (-2)\/(-4). Is (c\/(-9))\/(2\/33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15*o**3 + 11*o**2. Suppose 2*a + 52 = -3*t + 17, 3*a + 63 = -t. Let d(k) = 4*k**3 - 3*k**2. Give a*d(z) - 6*y(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42513908 and 10?\nAnswer: 212569540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by (-33)\/(-3)*(-2 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 - (4 - -5 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u**2 + 90*u - 190. What is o(6)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 10 = 0. Suppose -m + i = -0. Find the common denominator of (-18)\/16 + -2 + m\/(-2) and 113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, z: 1, d: 4}. Give prob of sequence dzzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1275 - 1404.2. Let n = 129.198954 + z. What is n rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17330699*w + 22 = 17330703*w + 7*d, -6*w = -3*d - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2808026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r + 178. Let t be y(47). Is -290 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/12 - 2*u**3\/3 + u**2\/2 - 5*u. Let x be y(4). Sort -2, -6, x in descending order.\nAnswer: x, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1587728 - -1587730.695563. Let u = 157.365537 + f. Let z = 160 - u. What is z rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.112 and 0.089804.\nAnswer: -0.022196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*l + 12 = -3*l, l = 4*k - 10. Let d = 3\/49 + 31\/294. Find w, given that -d*w - 1\/3*w**k + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 594170948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**2 - 1\/840*l**6 - 2\/3*l**3 + 3\/56*l**4 + 0 - 1\/140*l**5 + 8*l. Let i(g) be the second derivative of b(g). Factor i(w).\nAnswer: -3*(w - 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxtx when four letters picked without replacement from {x: 4, m: 2, t: 9, l: 4}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -77162 at most as big as -77161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/22*56\/84.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14064438 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + v + 1. Let s be h(2). Let r be 21\/12 - (-3)\/12. Let t be (r + 0)\/((-33)\/3). Which is the third biggest value? (a) 1\/2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*j**2*y**2 - 2*j**2*y + j**2 + 212*y**2 wrt j.\nAnswer: 182*j*y**2 - 4*j*y + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 14*c**2 + 14*c + 13. What is n(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.02691 tonnes in milligrams?\nAnswer: 45026910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 2:38 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*t + 585*t - 61600 = 0. What is the remainder when t is divided by 50?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*h + 6*h, 3*h + v - 177145 + 177135 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - -8010632?\nAnswer: 8010744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -7) + -6 - ((10 - -48) + 12).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2 + 6*f*g**3 + 5*f*g**2 + 21*g**3 - 4*g wrt f.\nAnswer: -8*f + 6*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 - -10 - ((-11 - -2) + 20 + -24)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + -4 - sqrt(14)\/sqrt(18) - ((sqrt(56)*1)\/sqrt(8) + -1) - ((sqrt(49)\/(sqrt(7) + -2*sqrt(7)) + 2 + sqrt(7) + 3)*3)**2.\nAnswer: -228 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + (sqrt(2299) - (-1 + sqrt(2299))) - sqrt(2299)))**2 + -1*2*sqrt(1539)*-1.\nAnswer: -246*sqrt(19) + 9232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, 1 j, and 1 t when four letters picked without replacement from jzjzxcqt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2*s + 0*s)*(3*s - 2 + 2)*(-94 + 233 - 103 + (3 - 2 - 3)*(1 - 1 + 2) + 1 + 4 - 3) to a*s**2 + k + x*s and give x.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.3. What is the nearest to h in -1\/4, -0.5, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-470)\/(-1128)*4\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3920, -7828, -11736?\nAnswer: -15644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 1, -0.0172?\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 - 329. Let q = y - -115. Let w(s) = -s**3 - 5*s**2 - 6*s. Calculate w(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7657 + 7637. What is the remainder when 200 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/9 - 27898*n\/3 - 194574601.\nAnswer: -(n + 41847)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -411457, -411470, -411481, -411490, -411497, -411502?\n\"Answer: v**2 - 16*v - 411442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -6*g**3\/7 - 23349714*g**2\/7 = 0.\nAnswer: -3891619, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44783*w**2 - 1508 wrt w.\nAnswer: -89566*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (sqrt(176) - (sqrt(176) + 2*sqrt(176) + sqrt(176))) - sqrt(176))\/sqrt(11) + sqrt(16))\/(sqrt(96)\/sqrt(768)))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 9*f - 23. Give o(-6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1*2\/(-22). Suppose 0 = 13*l + 172 - 198. Sort r, l, 2\/9 in ascending order.\nAnswer: 2\/9, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9413915g in milligrams?\nAnswer: 941.3915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 210, 207, 186, 141?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 4, j: 3, n: 6}. What is prob of picking 2 l and 2 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, e: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12\/11)*y)\/(y\/(y\/(y*(y*y**10*y)\/y)))*y*y**(2\/51)*y**(-1\/9))**23 assuming y is positive.\nAnswer: y**(-432101\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3423 - -2307. What is the hundreds digit of i\/(-10) + (-38)\/(-95)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6808045086 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.0883 or -946?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21554 = 655*v - 136*v + 310*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197*s + 1210*s = 22113. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -120, -492, -1120, -2010, -3168, -4600, -6312, -8310?\n\"Answer: -b**3 - 122*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 32125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1960 + -1951. Solve 0 = 4*o - v*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 at most as big as 78802661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z**(1\/2))**(15\/8)\/((z**1)**(-31))**(-2\/37) assuming z is positive.\nAnswer: z**(4003\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12428820.\nAnswer: 2, 3, 5, 29, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 962601929 and 904.\nAnswer: 962602833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 6*r**2 + 3*r**2 + 3*r in the form o*r**2 + u + p*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 10440*a - 379435.\nAnswer: -5*(a + 37)*(a + 2051)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**6\/105 - z**5\/70 - 5*z**4\/42 - z**3\/7 - 2*z + 53. Let t(u) be the first derivative of p(u). Factor t(l).\nAnswer: 2*l*(l - 3)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 65*o**2 - 3*o. Suppose 4*s - 2*c + 2 = 0, 0 = -4*c - 7 - 5. What are the prime factors of m(s)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5833386 by 648154.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 2343, 5284, 9391, 14658, 21079, 28648, 37359?\nAnswer: 47206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*g = 12, -r - 7 - 5 = 3*g. Let p = -1\/5 + r. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, 0, 3, 4 in ascending order.\nAnswer: -18, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 5*d + 3. Let y(m) = 2*m**2 + 5*m - 4. Give -3*c(t) - 2*y(t).\nAnswer: -t**2 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*q**3 + 152688*l*q**2 + 20*l*q + 71*l - 3*q**3 + 445*q wrt q.\nAnswer: 6*l*q + 305376*l - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-16)\/704*-11*(-16)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let n(f) = -3*f**2 + 53*f**2 - 3*f**2 + 10*f**2. Determine n(w(a)).\nAnswer: 57*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + q - 22 = -62, 3*q - 50 = 5*z. Suppose -3*s + 2*a + 16 = -0*a, s = -2*a - 8. Let d = s - z. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -0.06, -1.5 in decreasing order.\nAnswer: 31, -0.06, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141208\/7 + 20173. What is the third smallest value in -0.268, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 196?\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 5097*l + 19358136.\nAnswer: -3*(l - 3528)*(l + 1829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.2497949 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l**2. Let s be 1\/((-2)\/(-20)*5). Suppose a - 1 = v, s*a + 5*v = a + 1. Calculate the remainder when h(a) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*u**4 - 10*u + 35*u**2 - 10*u**3 + 4968 - 4968.\nAnswer: -5*u*(u - 1)*(u + 2)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27958327*o**2*y + 99570*o**2 + 734 wrt y?\nAnswer: -27958327*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 + 1)\/(0 - -1). Suppose -3*a + t = 2*q + 2, 2*a - 12 = 4*q. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*j**3 - 7*j - 507*j**3 - 203*j**3 + 7*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1240304ms in minutes?\nAnswer: 0.00001873384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20149 + 9851 = 0. Let a be (16 - 8)\/(2\/b). Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - v + v)*(0 - 1 + 6)*(-3*v + v + 0*v).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 636814398*g**6 + g**2 + 396025299.\nAnswer: 76417727760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1927 + 273 = 20*p. Calculate the remainder when p is divided by (-28)\/(-3)*(-3)\/(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(25\/(-4))\/((-4)\/(512\/(-96)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 397 + 953 = 0. Let c be (-1 - d)\/(9 + -8). Is (0 - c)*(8 - 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130)\/15 - 32\/(-12) - -23981 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -242*o**3 - 36*o**2 - 80*o - 53. Calculate x(-1).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 - 391. Solve -i*u - 1 = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 25377560*b + 101510304.\nAnswer: -4*(b - 6344394)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756529 is divided by 26087?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:06 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 159 = 2*k, -3*k = -3*p - 6*k + 162. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 8. Let h(l) = -7*l**2 + 7. What is -6*h(n) - 5*q(n)?\nAnswer: 12*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 492625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.1 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:17 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 19*c - 6. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30098209*m**2 - 14626946 wrt m?\nAnswer: 60196418*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 177973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(637)*2 - sqrt(65)\/(sqrt(15)\/sqrt(3) + sqrt(5))))**2 - ((-3 + sqrt(3328))**2 + 0).\nAnswer: -3835\/4 + 177*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4900543, 0.\nAnswer: -4900543, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**34\/j*j**(-43))\/((j\/(j**42\/j))\/((((j\/(j**(-9)*j))\/j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 8 - 4)*(0*i - 2*i + 5*i) - i + 0 + 0.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 46 - 405*t**3 - 50 - 50.\nAnswer: -405*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/168 + o**6\/12 + 9*o**5\/20 + 19*o**4\/24 + 13*o**3\/24 - 120*o + 2. Factor k(t).\nAnswer: -t*(t - 13)*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 - 13*g**2 + 6*g - 7. Let u be c(3). Solve 6 - u = -4*o, 2*a - 10 = 2*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*r**4 - 23*r**4 - 7*r**2 - 98*r + 350 + 45*r + 7*r**3 + 5*r**3 + 50*r wrt r?\nAnswer: 72*r**2 + 72*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/2 + 596847*x**3 - 118743307479*x**2\/2 + 118739129580*x + 178111380168 = 0. Calculate x.\nAnswer: -1, 3, 198948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7*o**4\/4 - 25999*o**3\/4 + 338483*o**2\/2 + 24310*o = 0.\nAnswer: -3740, -1\/7, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 47. Let u = g - -8. Let x(i) = -i - 1. Let v be x(-6). What is the greatest common factor of v and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 20. Let r be v(8). Suppose -x - 9 = -5*w, -w - r*x = 3*w + 12. Is ((-39)\/(-65))\/(w\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8942 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -224.7?\nAnswer: -179.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. What is the smallest common multiple of 9 and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258874.5um in centimeters?\nAnswer: 25.88745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -11. Suppose -10 = -5*o, -2*s - 2*o = -3*s + 6. Suppose s*r - 20 = 6*r. Solve -q - 2*l = -r*q - 26, 4*l = -q + n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9301*d**3 + 5*d**2 + 22 wrt d?\nAnswer: 55806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 15. Let w(n) = -3*n + n + b*n - 7. Let g(x) = -7 + 17 + x - 13. Give -9*g(a) + 4*w(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/33685 and 83\/60.\nAnswer: 404220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7494431 nanometers in meters?\nAnswer: 0.0000000007494431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 7*o**4\/12 + 34*o**2. Let k(g) = -3*g**2. Calculate m(k(l)).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = k - 0*k + 8, 3*r + 9 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 71, -16.61, 2, 2\/5, -10\/3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -264784 divided by 1742?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -351512 times -5?\nAnswer: 1757560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-198) - (-8)\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -1090*w**3\/3 + w**2\/2 + 2865*w + 2873. What is the second derivative of b(f) wrt f?\nAnswer: -2180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*f + 4*z, 29*f + 5*z - z = 17*f + 16*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 3*k**4 + 6*k**3 - 3*k**4 + (-k**2 - 6*k**2 + k**2)*(17*k**2 - 428 + 428) - 6 + k**4 + 6 + 4*k**4 + 2*k**4 - 5*k**4.\nAnswer: -99*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1422 - 18448\/13. Let k be (-332)\/78 - (-3)\/(-9). Let u = k + o. What is the third biggest value in 1\/5, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 861.7 and 0.1.\nAnswer: 86.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 205041 (base 6) in base 2?\nAnswer: 100000100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-8 + 2 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 694 + -1625. Let v = f - -931.000823. Round v to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -0.2. Let c = -124 - -124.495. Let o = p + c. What is o rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by -1\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 390.22 - 475.5. What is p rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 45. Let o be 1\/((-36)\/b + 1). Let j = -18 - -37. Calculate the highest common divisor of j and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 4)\/(1*-1). Suppose -h + 4*h - 2*g + l = 0, 0 = 4*h + g + 1. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2 + 2*w + 4 + 2*w**2 - 4*w. Let g = -31 + 38. Let i be z(g). What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-132)*-4 - ((-28782)\/(-1485))\/41?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 369115 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 4*h - 14. Let d(j) = -5*j + 1. Suppose -3*b - 4 = y, 3*b + 15 = 5*y - 19. Calculate the remainder when h is divided by d(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l - d - 0*d, 4*l + 5*d = -3. Suppose -l*u = 3 - 12. Suppose -4*y = 5*f + 5, 3*f - 4*y = -u*y + 14. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 + 20*x - 24. Let k(f) = -5*f**2 - 10*f + 12. Let r(l) = 11*k(l) + 6*m(l). Let y be r(7). What is the highest common divisor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from legwwgewlwwew. Give prob of sequence ww.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -108600 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2602)\/(-5)*2\/(-32). Let r = -217\/8 - l. What is the common denominator of -123\/10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70, -576, -1946, -4612, -9006?\n\"Answer: -72*q**3 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-55))\/(-4) + (-94)\/154\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 405, -5, 0, 4, -4, 6 in decreasing order.\nAnswer: 405, 6, 4, 0, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-1))\/((-3)\/13) and 29\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6 - z + 6. Let f(i) = i**2 + 22. Let n be f(0). Let h(l) = -6*l. Let q(c) = -c. Let o(s) = n*q(s) - 4*h(s). Give o(y(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4449792080.\nAnswer: 2, 5, 31, 1794271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**5 + j**3 + j**2 - j. Let b(w) = 10*w**5 + 3*w**3 + 6*w**2 - 3*w. Let d(r) = -2*b(r) + 6*q(r). What is the third derivative of d(i) wrt i?\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260 + 242. List the prime factors of (-5 + (-66)\/4)*k.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8724166\/91 + -95868. Let x = c - 18\/13. Factor x - 6\/7*b**2 - 2\/7*b + 2\/7*b**3 + 2\/7*b**4.\nAnswer: 2*(b - 1)**2*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 8*i + 0 + 0*i**4 + 9\/20*i**5 + 7\/6*i**3 + 0*i**2. Find the second derivative of m(h) wrt h.\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:10 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 96\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 165 + 105*c)*(5 - 4 - 2) - 2*c - 4 + 4.\nAnswer: -107*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 3. Let b be h(7). Solve 2*o + 4*a - a - 19 = 0, 4*o - b = -4*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136670.\nAnswer: 2, 5, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6*y + c - 6 = 0, 2*y = -3*c + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -20122020?\nAnswer: -20121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49297305 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2219743 and 4124.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*c**4*n - 4*c**2 - c*n - 10711*n wrt c.\nAnswer: 996*c**3*n - 8*c - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 2, -5096, 1, 5, -1.\nAnswer: -5096, -1, 0, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -45 + (0 - 0)\/(-1). Let h(y) = -10*y - 406. Let n be h(-55). Let z = u + n. Calculate the remainder when z is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j. Let y(u) be the second derivative of -u**5\/10 - u**4\/3 + u**3\/2 + u**2\/2 + u + 7. Determine 3*b(d) - y(d).\nAnswer: 2*d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t - 96*t - 247 = -33*c, 3*c - 3 = 9 + 6 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 2*f**2 + 2*f + 2. Let s(o) = o + 2. Let v be s(-4). Let r be w(v). Let u = r + 0. Solve -2*t + 0 = -u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 40 = 3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - -120323?\nAnswer: 120250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2325, 2714, 3081, 3426?\nAnswer: 3749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/20 + x**4\/2 + 5*x**3\/3 + x**2 + 11*x. Is k(7) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/(2\/4). Let i be (-2*m\/(-4))\/(-1). Does 14 divide (-84)\/6*(-1 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-35114)\/(-86337) - 8\/18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 290435116*t*u**3 - 2*t*u**2 - 38872074*t - 3*u**2 wrt u.\nAnswer: 1742610696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1570 + -1528.965. Let v = p + -41. Let t = v - -3.965. Put 2, t, -1 in increasing order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - -0.19. Which is the closest to -0.1? (a) i (b) -4\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-10))\/((-1844)\/2305).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(5\/6)*b)**(-11\/4))**(-1\/17) assuming b is positive.\nAnswer: b**(209\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835 < 6836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.024, -3.63254, -3?\nAnswer: -3.63254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23727*d - 11864*d - 11865*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 16*f**2 + 16*f + 18. Let j be l(17). Let z be (-3)\/(-60)*271\/(-16). Let w = z + 3\/64. Put j, w, -1\/4 in ascending order.\nAnswer: w, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2886 and -35\/3.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*b**3*t*z**2 - 44115*b**3*t*z - b**3*z + b**2*t*z - 32*b**2*t - 25611*b*z**2 wrt b.\nAnswer: -882*t*z**2 - 264690*t*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 + 7*n + 3. Let m be c(6). Let k = m - 365. Let z = -987\/4 - k. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away 609?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.59404l?\nAnswer: 57594.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -18*z - 4. Suppose 0 = b - 67 - 27. What is the remainder when b is divided by c(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -959 divided by 1\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 16 = -3*a, -21 = 2*a + 2*f - 15. What is the smallest common multiple of 530 and a?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17063*t - 5564*t = 5652*t + 5708*t + 1251 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.06 + 2.4. Let j = 0.2591 + -0.0191. Let l = r - j. Which is the closest to 1? (a) 3 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 20 = r, 10*r + 29 = -3*v + 14*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 19, 0.04, 2\/9 in descending order.\nAnswer: 19, 3.4, 2\/9, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13266 - 1?\nAnswer: 13265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 21*p = -4*d + 21558, p = -5. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 - 12*r - 17. Let w be h(-2). Let d be (-54)\/(-2) + 0\/(-1). Let y = w - d. Which is the smallest value? (a) -4 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**5\/20 + j**4\/12 + 5*j**3\/6 - j**2 - 4*j. Let k be x(3). What is the third smallest value in 2, -0.1, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2183 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3245, 6958, 11131, 15770, 20881, 26470?\n\"Answer: z**3 + 224*z**2 + 3034*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5181*f = 4398*f - 24273 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2892 and 75\/1928?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = -0. What is the nearest to a in -0.2, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**3\/5 + 215293*u**2\/5 - 1931312768*u\/5 + 321879481\/5.\nAnswer: -(u - 17941)**2*(6*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 2*m**2)*(3*m**2 + 0*m**2 - 2*m**2) + 3*m**4 + 0*m**4 + 2*m**4 + (-9*m**3 + 0*m**3 + 3*m**3)*(-532 - 101*m + 532).\nAnswer: 613*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -216435.51 - 5259?\nAnswer: -221694.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 108*c**2 - 1203*c - 303. Determine z(-9).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - a - 1. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-3)\/(-9)*1. Let s be ((-4)\/(-6))\/(y\/3). What is the units digit of (16\/10)\/(s\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80*(-1)\/4*-5. What is the highest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35940? (a) -21 (b) -2\/17 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 4 (c) 421 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*a + 803 = 233*a. Does 78 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l. Let r(d) = 38*d**2. Give c(r(q)).\nAnswer: 304*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2189 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23488 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:26 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7. Which is the closest to 2\/7? (a) g (b) 3\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/21*12005\/686?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 2604559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 281*q - 3937. Calculate r(23).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16128 and 173952?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = r. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -1\/6, -2\/9, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1691210 or 1691234?\nAnswer: 1691210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*r + 6 + 13*r**3 + 60*r + 36*r**4 + 51*r - 12*r**3 in the form b*r + j*r**3 + a*r**4 + i*r**2 + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -268363 or -268364?\nAnswer: -268363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*q - 5414 + 12510 = -3512 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.90288 + -0.09712. Which is the closest to 3? (a) 3\/7 (b) q (c) -0.154 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 10*w**2 + 7*w**2 + 1 in the form q + x*w + b*w**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m**3 - 2*m)*(1 - 2 + 5)*(-5 + 1 + 0)*(-4 + 3 + 2).\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2\/7 - 64098*j\/7 - 342379467\/7 = 0. What is j?\nAnswer: -10683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44 + -0.54. Is 2\/91 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1429246 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0.5 (c) -75\/479 (d) 3\/8 (e) 0.2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*z - 33*z = -1755. Solve i + 3*i = h - z, 0 = -5*i + 3*h - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032002 (base 4) to base 12.\nAnswer: 2a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6494)\/(-133127) + 912\/(-205)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)\/((u**(-16)*u)\/u)*(u**1)**(-1\/44) assuming u is positive.\nAnswer: u**(4965\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 19. Let i = g + 22. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -3804 (c) 5 (d) -8 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9952*h*v**3 - 2*h*v + 532*v**3 + 268688*v**2 + 33*v wrt v.\nAnswer: -59712*h + 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 37.2 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Let y(r) = m*r - 5*r + 3*r. Let g(t) = 37*t**2 + t + 0 - 28*t**2 + 0. Give g(y(q)).\nAnswer: 9*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 + 670*o + 48721 = 0.\nAnswer: -587, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/24)\/((-99)\/6). Sort 2\/17, 0, h, -5, 4.\nAnswer: -5, h, 0, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790465.1 nanograms to milligrams.\nAnswer: 0.7904651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - w = -15, 4*b + w = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*q**2 - q**3 - 211*q**2 + 73*q**2 + 69*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**3 - 2*j**2 - 4*j + 6. Let s be z(1). Suppose -606 = s*k - 1566. Calculate the greatest common factor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87688.\nAnswer: 2, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yqqqqppyqqqqpqqqqqy?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5349*a - 3342. Let z(v) = 1783*v - 1111. Let x(h) = -3*r(h) + 8*z(h). Differentiate x(p) wrt p.\nAnswer: -1783","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 764540.9cm?\nAnswer: 7645409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4. Let s(l) = -2*l - 18. Let v be s(-10). Let b be q(v). Suppose -2*c + 3 = -7. Is c greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -21*k + 1. Let t be d(-2). Let l = 74 - t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/2)\/y*y)\/y**(1\/4)*(y**(2\/7)*y)**(2\/35))**(-17) assuming y is positive.\nAnswer: y**(-38709\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 + 256*a**4 - 74844*a**3 - 5877544*a**2 + 18152576*a - 12200448 = 0 for a.\nAnswer: -104, 1, 2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -6 (c) -8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 6*o = -3*q - 2*o, 3*o + 2*o = 5*q + 2*o + 4*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11186*d**2 + 11180*d**2 - 18*d**3 - 22366*d**2.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 39245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {e: 11, j: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*m - 3150 - 336 = 305*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*v, -4*v - c = c - 16. Suppose v = -2*u + 15. Suppose 10*a - u*a - 10 = 0. Sort a, 0.1, -1 in decreasing order.\nAnswer: a, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 2 + (-41 - (-11 - 23))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/9 - (-7)\/(-21)*14 - -26520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28061978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 4204?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - -90. Let v(l) = l**2 + 115*l + 3303. What is the remainder when s is divided by v(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**4 + 2*o**2 - 13*o**4 + 2*o**3 + 38*o - 21*o + 0 + 2 as u*o**2 + n + z*o**4 + q*o + d*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h - 15*h + 7*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143040?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220\/(-56) - -2) + 2 + (-33525)\/177310?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -4.8. Let b = 0.8 - k. Which is greater: -0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/4)\/(3\/(-138)). Let p = s - 62. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*l**3*m - 38423*l*m**2 - 11334749*m**2 wrt l.\nAnswer: -123*l**2*m - 38423*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -95, -115, -143, -179?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(5\/(-30) + 57\/18). Suppose -2*n + 1560 = 4*h + n, -4*h + 1536 = -s*n. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11246064*y**3 + 550*y - 4133.\nAnswer: 67476384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 102 = 0. Let t(y) = -4*y - 2. What is the lowest common multiple of x and t(-2)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8179.786 times -0.5\nAnswer: 4089.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214147 is divided by 2040?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 1 = 0. Let l be ((-12)\/15)\/(4\/(-10)). Let n be 0 - l - (-27)\/(-9). Which is the nearest to -1? (a) f (b) n (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 328ca2 - -2?\nAnswer: 328ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(3 + 381\/(-6)). Let b = -118 + v. Suppose b*f - 65312015 = 43887985. Round f to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-69 - -74) + -10 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a461b (base 14) to base 3\nAnswer: -1202110102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzj when three letters picked without replacement from {z: 2, y: 3, j: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 + 5*b - 2. Let a(z) = z. Let q(p) = 5. Let g(n) = 3*a(n) + q(n). Let u be g(-3). Let v be 15\/(-6)*(-2 - u). Give t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, 1 l, and 1 y when four letters picked without replacement from {p: 1, g: 3, o: 2, y: 1, c: 4, l: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 80*y - 8. Let f be m(10). Is f\/32 - 1\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 16.\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 2. Let v(s) = -269 - 270 + 4*s**3 - 19*s**3 + 528. Calculate -33*k(h) - 6*v(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 378370.8389 to zero decimal places.\nAnswer: 378371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 7) to base 2.\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/147011 or 2\/137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(18) - sqrt(450)*-2)\/sqrt(6).\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*t - 501*t + 38199 = -1349*t for t.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13891\/7 + -1978. Calculate the common denominator of 34 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 1. Let t = 44 + -47. Let s(f) = -f**3 - 10*f**2 - 15*f + 15. Let m(w) = t*l(w) + s(w). What is the least common multiple of 10 and m(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 + 218. Suppose m*v - 2157 = -0*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -36*k. Let j be s(-1). Let t = -332 + j. Round t to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.857 (b) -19 (c) -1\/18 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/9, 5, 3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*h - 539*h + 175*h - 5 + 4*h**2 + 180*h.\nAnswer: 4*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 8. Is 10 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000011 + -110000101010111?\nAnswer: -101001110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 367733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 1. Let m be 6\/(-1)*i\/(-6). Let g be (4\/(-5))\/(12\/(-30)). Are m and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 10*a + 6. Let n be w(9). Let x(s) = 41*s**2 - 8*s - 20. Let q(h) = 89*h**2 - 17*h - 43. Let u(z) = -6*q(z) + 13*x(z). Calculate u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299ca (base 14) in base 16?\nAnswer: 1942e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2. Let r(x) = -6 - 22*x + 7 + 27*x. Determine k(r(o)).\nAnswer: -50*o**2 - 20*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/7 + 1060*z**2\/7 - 120696*z\/7 - 5407632\/7 = 0.\nAnswer: -34, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1631*l**2*y**2*z - 3010*l**2*y**2 - 3*l**2*y*z - l**2*z - 215*l**2 + 33*l*y*z + l*z + l + 62*z wrt y?\nAnswer: -3262*l**2*z - 6020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6*q = 3*q. What is the nearest to q in 2\/7, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56935 and 7670.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 13. Give o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -14. Suppose 0 = -u*j + 111 - 31. Solve j = s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7\/5)\/u*u*(u\/u**(-2\/11)*u)\/u*u*u)\/((u\/(u*u*u**(-6)))\/(u*u**20)))**(-8\/5) assuming u is positive.\nAnswer: u**(-7824\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4947 and -157\/11058?\nAnswer: 187986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Suppose d + 4 = 3*s, 0 = -3*d - n*s - 5 + 35. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**5 + 134*d**4 + d**3 - 4*d**2 + 991*d?\nAnswer: -600*d**2 + 3216*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 7*a - 4*a)*(9 + 7*a - 9)*(4*a + 28*a + 27*a)*(-5 + 5 - 2)*(-4 + 3 + 2).\nAnswer: -1652*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17117*m + 17334. Give b(1).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9408)\/32 - 1*-1. Let l = a - -311. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5627025 by 59.\nAnswer: 5627025\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/21*3\/2*(-2968)\/848\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**4\/12 - f**3\/6 + 38*f. Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**3\/3 - f**2\/2 + 2*f - 1. Suppose 0 = 14*a - 18*a. What is the units digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.05. Let s = o + 0.21. What is s rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -9*w + 34. Let o = 24 + w. Calculate the remainder when 11 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7 + h - 21*h**3 - 21*h**3 + 41*h**3 + 6*h**2. Calculate the remainder when 66 is divided by s(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-8) - 88400\/(-4160).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129 - 30 + 351 - 11)*(-2*f + 2*f - f) in the form n + m*f and give m.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - (150 + -179 - (3 + -1 + -3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/(-2*(-2)\/(-10)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-4))\/o)\/o**(1\/14))\/(o*o*o\/(o\/(o*o\/(o*o*o**2))))**(-11) assuming o is positive.\nAnswer: o**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160751 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: Solve -8843*s + 4671*s + 14193 = -4421*s for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102495958199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9597.51 decades in centuries?\nAnswer: 959.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0 + 5. Let b(j) = 27*j - 1. What is the tens digit of b(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 4*p - 2*p - p)*(1 + 10 - 3).\nAnswer: -8*p**4 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 divided by 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731560.\nAnswer: 2, 5, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/103, 0.3, -1.9?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 - 7*w**2 - 8*w**5 - 2*w**5 wrt w.\nAnswer: -720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.3 - 28.3. Let g = 0 + -15. Let p = g - l. Which is the smallest value? (a) p (b) -5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = i - 126. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 + 98856*d + 1186704 = 0. What is d?\nAnswer: -12, 32964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/129716745 and -59\/3.\nAnswer: 129716745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*t - 176, 116 = 2*t - i + 2*i. Let x = 10 - t. Let v = x + 90. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*y**2 - 16*y**2 + 70 + 5*y + 68 - 218 - 2*y**3 + 77 wrt y?\nAnswer: -12*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-21 - (-15 - 16)) + 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88 (base 11) to base 3.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b, -8*b + 4*b = -4*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*t - 55*t + 2310 = 0. Solve -47 - 13 = t*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, d: 7, u: 1}. What is prob of picking 2 s?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 16*j - 3. Let r(v) = 2*v**2 - 49*v + 7. Let b(c) = 8*o(c) + 3*r(c). Let s be b(-9). Calculate the greatest common factor of s and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11335.599ns to hours.\nAnswer: 0.0000000031487775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 3, u: 2}. Give prob of sequence vf.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -26, 4, -3, -4 in descending order.\nAnswer: 4, -2, -3, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 0*i**2 + 62*i - 14\/3*i**3 + 17\/4*i**4 + 0. What is the second derivative of j(a) wrt a?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p*v**3 - p*v**2 + 21*p*v + 33*v**3 - 145781*v**2 - 318100*v - 3 wrt v.\nAnswer: 6*p*v - 2*p + 198*v - 291562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 5:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 138. Suppose -u = -5*q + 22. Is 22 a factor of q*(9\/(-6) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 plus -2108.32?\nAnswer: -2579.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 6:15 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-220)\/(-228)*-3 - 44\/418. Which is the nearest to -5\/6? (a) 2 (b) q (c) -2\/17 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 84 = -v. Let x = 17 - -18. Let n = x - -28. What is the highest common divisor of v and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500)*5 + sqrt(500) + -4*sqrt(500) + -1 + 5 + 6*(sqrt(500) + -1*sqrt(500) + sqrt(500)) + -1*sqrt(500) + 5)*1)**2.\nAnswer: -540*sqrt(5) + 4581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*-1 + (12 - (-6 - -1)). Let o(h) = -h + 13. Calculate o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4814280 divided by -106984\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70)\/(-22) - (8 - 516\/66). Solve -4*l - d*l = -35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**2. Let b(u) = -3*u. Determine b(j(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u - 1344 + 11750 = 0 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 43 - g - 43.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96161593 + -4?\nAnswer: -96161597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 13, 2\/5, 5.1, -1 in decreasing order.\nAnswer: 13, 5.1, 3\/4, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 18*x**3 + 3*x**2 - 3*x + 1. Give s(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268.039 * 0.5.\nAnswer: -134.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -12. Let u = b - -11. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2381157 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2377, 2384, 2391, 2398, 2405, 2412?\n\"Answer: 7*r + 2370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k**4 + 75*k**2 - 2762?\nAnswer: -72*k**3 + 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5623838 (base 10) in base 9?\nAnswer: 11521408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u.\nAnswer: 5*(u - 5)*(u - 3)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257 + 48. List the prime factors of k.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose -3*o = 5 + w. Which is the nearest to -2? (a) 2\/7 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -154*w**2 + w + 12. Let k be v(-2). Is 9 a factor of k*(-6 - (-115)\/20)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31550 - -2 - (-20 + 8 - -9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h**2 + 30*h - 9. Let o = -47 - -38. What is the hundreds digit of p(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + x - 14 - 7 = 0, 5*x = 4*b - 57. Calculate the least common multiple of 3 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2960 divided by -17015.\nAnswer: 592\/3403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 613975369 to the power of 1\/3, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 283.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 31*b - 115 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*u - 17, -9 = 3*r - 3*u - 0. Suppose r*o = -2*o + 8. What is the third derivative of y**6 - 6*y**o + 6*y**2 - 2*y**2 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42642 + 42698. Solve 279 = f*h - 113 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(287\/164).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggmmmmmmmmm. Give prob of sequence mmgm.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 - 65?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126549 and 1591?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 30*f - 32*f. Let k = f - 63. What is the lowest common multiple of 5 and k?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-5) - (-3)\/5. Let l = -48\/389 - 15671\/8558. Find the common denominator of l and ((-5)\/(-8))\/r*43.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15173146 - -1608280443\/106. Let j = u - -689. Let z = j - -99\/742. Put -5, 2\/7, z, -0.3 in decreasing order.\nAnswer: 2\/7, z, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3378004416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x - 7. Let q(c) = 5*c**2 + 7*c + 1. Let a(v) = -11*v**2 - 15*v - 2. Let i(u) = 6*a(u) + 13*q(u). Let l be i(3). Give k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 11*b. Solve 2*x - 3*x + 3*a = 11, b = 2*x + 4*a - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2985067, -2985061, -2985055, -2985049, -2985043?\nAnswer: -2985037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 149 + 72)*(f - 2*f + 7*f)*(23*f**2 - 3*f**4 - 23*f**2).\nAnswer: -126*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/3 - 202754*y**3\/7 + 463416*y**2\/7 - 347560*y\/21 = 0 for y.\nAnswer: 0, 2\/7, 2, 43445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7012*l + 4923. Is a(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 60\/36)\/((-10)\/135).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18876 - -18876. Solve -b + 7 = -6*x + 9*x, 2*b + 10 = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 2208*g - 11106. What is j(-5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (957\/20)\/(-33) - 2\/(-8)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-298)\/(-1788) + (-71)\/(-6) + (-3630)\/(-33).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149330 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: Express -61707 + 61644 - a**2 - a**2 - 2*a**3 as u + z*a**2 + i*a + d*a**3 and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410305?\nAnswer: 5, 7, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwdz when four letters picked without replacement from zwwwwwwwzd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80171 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 plus -319914?\nAnswer: -319912.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 3}. What is prob of sequence zzwz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 32 = -128. Solve -r + 1 = -w, -14 + 6 = g*w - 2*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 + 208. Solve 2*r + 4*f + f = 33, s*f = -3*r + 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*96482\nAnswer: -77185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701\/4 + -2575\/12. Let t = j - -40. Determine h, given that -t*h**2 - 2\/3*h**5 + 0*h + 2\/3*h**3 + 2\/3*h**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 5*h - 6. Let i be w(2). Suppose 0 = -i*g - 8*g + 23*g. Put -5, g, 8 in descending order.\nAnswer: 8, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-10)\/6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 2 y when four letters picked without replacement from {y: 14, r: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 5 (c) 4\/7 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*sqrt(99)\/sqrt(3))\/sqrt(11).\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281 - 200. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334.8 * 0.4\nAnswer: 133.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v + 7*b - 9*b + 35745 = 0, -2*b = 0. Which is smaller: v or 7150?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5249 is divided by 119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24436134?\nAnswer: 2, 3, 452521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5463 and 535981?\nAnswer: 4823829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) 3\/2 (d) 4\/11 (e) 0.9465 (f) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4087 - 649 = 191*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 13) + 1\/(-8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/343 + 1378\/1029. Sort -2\/3, 5, q in increasing order.\nAnswer: -2\/3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*2*90\/8910*-759.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5 - 5)*(-2 - 2*x**2 + 2) - 3*x**3 + 0*x**3 + 5*x**3 + 0*x**2 + 2*x**3 + x**2 + 2*x**2.\nAnswer: 8*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4349*z**4 + 68*z**2 - 19*z wrt z?\nAnswer: 104376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -17*o + 266. Suppose -18*c = -o*c + 935. Is 71 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736032 divided by 4?\nAnswer: 434008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6371 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.508081l in millilitres?\nAnswer: 6508.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125)\/sqrt(9) + -1 + 0 + sqrt(5) + sqrt(5))**2 - ((2*(-2 + sqrt(5)) - sqrt(5))**2 + (-1*sqrt(5) + -2)**2).\nAnswer: -10*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 4*g**2 + 12*g - 2. Let v be z(6). Let c be v + 5 - (5 - (-24)\/(-15)). Sort -0.2, 2, c in ascending order.\nAnswer: c, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(((-5)\/5 + 0)\/(-2)). Is ((-39132)\/48)\/((-3)\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.012 * -0.047122.\nAnswer: -0.047687464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 38 + 176*h**3 + 11.\nAnswer: 176*h**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -50?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {x: 2, t: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + a**2)*(3 - a - 3) - 698*a**2 + 698*a**2 + 5*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078310.\nAnswer: 2, 5, 307831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3)*-1 + 2 + sqrt(3) + sqrt(3) - (sqrt(432) - (2 + sqrt(432) + -3))**2.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 + 238. What is the nearest to v in -0.2, 28, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/5040 - 2*t**5\/15 - t**4\/12 + 9*t**2 + 2. Let b(c) be the third derivative of j(c). Let x(v) = 3*v - 15. Give b(x(o)).\nAnswer: 3*o - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5658)\/(-1353) - (-8)\/(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 18639.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*q**3 + 2675 - 2123 - 15*q**3 + 38*q**2 + 4*q**4 wrt q?\nAnswer: 16*q**3 + 76*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5900)\/(-33) + 2\/3. Let s = 14255\/22 - j. Let q = s + -5495\/12. Find the common denominator of q and 27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(((5*(sqrt(1573) + 0) + sqrt(1573) - sqrt(1573)) + sqrt(1573) - (2 + (-1*sqrt(1573) - sqrt(1573))))*4)**2 + -3.\nAnswer: -24162243 + 84480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3\/7 (b) 6 (c) -0.3 (d) 1\/10 (e) 11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*g*i**2 + 26*g + 2*i**2 - 201 wrt g?\nAnswer: -42*i**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 571 - 571.05. Put -1, 2\/5, c, -5 in ascending order.\nAnswer: -5, -1, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:04 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = 32 - 170. Suppose 5*t = r*s + 10357, t - 9*s - 2081 = -6*s. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 22*u - 17*u. Suppose 62 + 22 = u*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680*h = -221*h - 4672*h - 109538 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70366996 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2340 = 4*b - 2151, -1 = q. List the prime factors of b.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x + 40*x = -364. What is the smallest common multiple of 6 and x?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 10 = -t. Let n = t + 20. Suppose 9*v - 6*v = n. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m**2\/3 - 274*m\/3 - 460 = 0. What is m?\nAnswer: -3, 230\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2)\/x*x**(2\/9)*(x\/(x*x\/x**(-1\/4)*x)*x)\/(x**(1\/3)*x)*(x**(-2\/7)*x*x\/(x*x**(-2\/7)))**(-26) assuming x is positive.\nAnswer: x**(-1129\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 + -434. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3092\/7 + 111389\/252. Calculate the common denominator of h and 4074\/12416*-2*(14\/6 + -2).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1241491 divided by 2.\nAnswer: -1241491\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58 + 5781?\nAnswer: 5850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-5)\/(-210))\/((28\/(-24))\/(-7)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-1)\/(-2))\/(-1)). Let r be 0 + (1 - 2) + u. Let j(o) = 3*o**2 - 5*o + 3. Let v(p) = -2*p**2 + 4*p - 3. Let g(n) = 3*j(n) + 4*v(n). Give g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1487 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/((-61)\/(-22)))\/(-1*1*-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-10 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -102053, -201280, -300507, -399734?\n\"Answer: -99227*o - 2826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28\/5*s - 8\/5*s**2 - 16\/5 + 4\/5*s**3 = 0. Calculate s.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6539 by -5.\nAnswer: 6539\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**2 - 1\/12*g**4 + 0*g + 0 - 2\/3*g**3. Let h be s(-4). Solve -14 = -3*k + 2*r - h*r, -3*r + 23 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(209) - 1*sqrt(209)) + sqrt(209) + sqrt(209))*2 - (sqrt(209) + (sqrt(209)*1 - sqrt(209)))*-2)*-3)\/(sqrt(176) + -6*3*sqrt(176)).\nAnswer: 9*sqrt(19)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/5 (b) 4\/7 (c) -3536162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833994763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*13556229\nAnswer: -40668687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkbssssvv. Give prob of sequence sssb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:51 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549\/(-85) + (-364)\/(-26) - (-6)\/(-34)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*u - 2*u - 12 = 0, 0 = -g + 5*u + 17. Suppose g*l - 27 = l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 1\/3*z**2 - z.\nAnswer: -(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r + 459*y - 498 = 455*y, -5*r - 510 = -5*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8415 + -8351. What is the greatest common factor of 592 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7668 and 90.\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(52) + (sqrt(208)\/sqrt(4) - sqrt(52))*6 - sqrt(52)) + sqrt(4212)*3 + sqrt(4212))\/(sqrt(12)\/sqrt(192) - sqrt(24)\/sqrt(216)).\nAnswer: -888*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/2*25\/(-100)*(-2100)\/675?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -1\/2, 1.3, -1\/25, 3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2\/3*h**2 - 4\/3*h - 1\/12*h**4 + 1\/9*h**3 + 7. Factor z(b).\nAnswer: -(b - 2)*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51, 86, 121, 156?\n\"Answer: 35*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 54*i = -228 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 15.36603?\nAnswer: -92.19618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25144, 24788, 24442, 24112, 23804, 23524?\n\"Answer: b**3 - b**2 - 360*b + 25504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 10, -4 in decreasing order.\nAnswer: 10, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**5\/20 + 57*r**4\/16 + 35*r**3\/4 + 51*r**2\/8 + 67. Factor y(j).\nAnswer: 3*j*(j + 1)**2*(j + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(183\/(-427) + (-3)\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 12 = 16*q. Let v(x) = 4*x**2 - 2*x - 7. Let f(s) = 7*s**2 - 5*s - 14. Let l(m) = -4*f(m) + 9*v(m). Is l(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 9. Let j = -13 + -6. Let i = q - j. What is the highest common divisor of 136 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a + 1. Let q be c(1). Let z = q + 2. Is (-2440)\/(-15) - z\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -1\/2, -2\/11, 4, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893 - -2.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*z, 7 = -3*z + 4*o + 4. Let q be (0 + -1)\/(1\/z). Let f be (12\/(-4))\/((27\/6)\/q). Solve 5 = f*t - t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 81 = -2*f - 229, 2*f = -4. Find the common denominator of 111\/14 and 48\/z*154\/32.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*f**5*u**2 + f**4*u**2 + 176*f**2*u**2 + 2 wrt f.\nAnswer: 3540*f**2*u**2 + 24*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000376255767 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2217 divided by 1\nAnswer: -2217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3872*y - 6 - 3874*y + 7743*y.\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = u, -2*u = 3*u - 4*w - 19. Suppose 0 = -2*y + 10, -4*y = -u*m - 27 - 8. Which is the nearest to -2? (a) -7 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q**2 - 44*q - 4 = 0 for q.\nAnswer: -2\/7, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 425969123 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933384.\nAnswer: 2, 17, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34322657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t**(2\/21))**(2\/43) assuming t is positive.\nAnswer: t**(122\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 20 = -14*c. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 7 in ascending order.\nAnswer: -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10))**(-22) assuming j is positive.\nAnswer: j**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1949 - -1.8051. What is the third biggest value in a, -0.4, 17, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = d - 2*d + 14, 0 = n + 4*d - 14. Suppose 2*z - n = 12. Sort 3, 6, z in increasing order.\nAnswer: 3, 6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 100, 94, 86, 76?\n\"Answer: -s**2 - 3*s + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -60*k - 259. Let m be l(-6). Suppose -5*q + 29 + m = -3*y, -4*q = -5*y - 117. What is the greatest common divisor of 1357 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 74. Suppose -q*g = 3*g. Solve 1 = -g*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 1268, 2851, 5058, 7883, 11320?\nAnswer: 15363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -7*b**6\/120 + 7*b**5\/3 - 2*b**2 + 8*b. What is the third derivative of m(i) wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z. Let v(q) = -11*q**2 - 4*q. Give v(l(y)).\nAnswer: -176*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 6 + -14 + 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.03 + -14.43. Put -298, 0, q in descending order.\nAnswer: 0, q, -298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -28477 and -30585 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/205 + 166\/205. Which is the fourth smallest value? (a) 0.4 (b) y (c) -7\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5516, 22472, 50866, 90698?\nAnswer: 141968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 94. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0 + 1 + 0 + 6*p**2 - p - 6*p + p**3. Calculate the remainder when s(-7) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 762 and 6350?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-36*r + 87 - 87)*(-3*r + 5*r - 3*r + (0*r - 2*r + r)*(3 + 0 + 1)).\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1017 - -1773. Suppose -7*a + g = -0*a. Suppose -4*r + a = -100. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96077628*m**3*s**2 + 39840173*s**2 with respect to m.\nAnswer: -288232884*m**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 + 5*h**4\/8 + 13*h**3\/3 - 377*h**2. Suppose o(r) = 0. What is r?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8492, -8517, -8542, -8567, -8592, -8617?\n\"Answer: -25*g - 8467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -5228\/447?\nAnswer: -5228\/447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3884275158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -17 + 2 - (-16 + 4)) + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m**2 + 883*m + 116. Suppose -4*l + 84 - 12 = 0. Calculate the lowest common multiple of t(-98) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(((-6)\/4)\/3). Let r be c*(0 + (-3)\/6). Solve 0*s + 10 = -v + r*s, -5*v = 4*s + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124848696571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/(1*sqrt(7)))\/(sqrt(567)\/sqrt(7)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*((sqrt(114)*2*-1 - sqrt(114)) + sqrt(114))*-5)\/(-4*1*(sqrt(6) - sqrt(1350)\/sqrt(9))))**2.\nAnswer: 10*sqrt(19) + 731\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241688598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/120 - 4*l**5\/15 + l**4\/12 + 19*l**3\/6 + 247*l**2. Give g(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.6 - 7.54. Round z to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 - 25*j - 35. Let s be q(-6). Solve 4*i + 3*x - 8*x = -s, -25 = -5*i - 5*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2863062 by 18.\nAnswer: -159059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/20 + 196\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158917 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: Let h(r) = 3 - 2*r - 3. Let p(i) = 90059 - 45009 - 45050 + 12*i. Give h(p(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - 0 - (-58 - -54).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213321 (base 4) to base 15.\nAnswer: b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/5 (b) -0.5 (c) 3 (d) 13170\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.1 (b) -16 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, -5, -24 in decreasing order.\nAnswer: 0, -5, -24, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(48) - sqrt(48))\/sqrt(8) - 6*sqrt(24)\/sqrt(4))\/(((sqrt(189) + (sqrt(189) + 1*sqrt(189) + sqrt(189) - sqrt(189)))*-6)\/sqrt(7)).\nAnswer: 5*sqrt(2)\/54 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4.9, 0.2, 2\/49, -3, -1.82, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2166 and 150898.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.76437 years in months?\nAnswer: 57.17244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 15*s**3 - 24*s**2 - 12*s.\nAnswer: -3*s*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(7 + 15*o - 9 + 0).\nAnswer: -45*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 28 = -12*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51774 divided by 6\nAnswer: 8629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-30)*(i**(-2\/5))**(-39)*i\/(i*i**6)*i**(-2\/5)*i**(3\/5)*i**1\/i assuming i is positive.\nAnswer: i**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1709*q**2 - 163*q**4 + 12*q**4 + 1144*q**4 wrt q?\nAnswer: 23832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/12 - 4*r**3\/3 - r**2 - 53*r. Let h be q(-7). Solve -7*l + 12*l + h = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*w + 148*w + 0*j = -5*j - 0 + 3, 4*w = -8*j + 44 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 711507 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/3 + 5*u**5\/2 - 23*u**4\/6 - 19*u**3\/6 + 677*u. What is the third derivative of x(w) wrt w?\nAnswer: -240*w + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 - 7*b + 1. Let r be m(5). Suppose -4*y + r = -0*y. Differentiate 4 + 14*d**4 - 25*d**y + 1 wrt d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/4*10\/((-350)\/15). Put -2, 3, 0.2, z in decreasing order.\nAnswer: 3, z, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 + 2 = 0. Suppose -3*u - 3 = -3*w, -4*w = -0 - g. Solve -6*z + z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 1830768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 423991 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*k**2 + h*k + 583*h - 747*k**3 - 2*k**2 wrt k?\nAnswer: -4*h*k + h - 2241*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s. Determine u so that -7*u**3 + 6*u + 10*u**3 + 9*u**2 + s*u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 - 3*y - 3. What is v(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, 14220, 0.1, 1\/2, -7.6 in increasing order.\nAnswer: -7.6, -1\/6, 0.1, 1\/2, 3, 14220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 7) to base 13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-p**5 - 75*p**2 + 75*p**2 - 14*p**3).\nAnswer: 2*p**5 + 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -47620322?\nAnswer: -47620322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 136. Let q be y(-25). Let c = 279 - q. Solve 5*g - 2 = -2*k - 5, -3*k = -3*g + c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-126) - (-33)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9501*o**2 + 3*o + 40. Let w be f(8). Round w to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (613*t - 12 + 0 - 615*t)*(3*t**2 + 2 - 2).\nAnswer: -6*t**3 - 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 21.2. Let o = s - 1.1. Let v = 3.7 + o. What is v rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**2 - 29*i - 9. Let z(y) = -12*y**2 - 62*y - 18. Let b = 623 - 628. Let c(t) = b*d(t) + 2*z(t). Determine m so that c(m) = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012631 to 5 decimal places.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = p - 2*p - 2*t, 3*p - 2*t = 12. Let d = -5 + p. Let l be 12*((-12)\/9)\/(-2). What is the highest common factor of d and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 - 6*d - 11. Let t be w(8). Let s(k) = 14*k - 6. Let y be s(t). Is (y\/20 - 3) + 208\/10 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 3179*h**2 + 25 + 3180*h**2 in the form d*h**2 + p + b*h and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -j - 133 + 498, -2*q - 246 = -2*j. Let f = q + 160. Let o(z) = 22*z**2 + z + 1. What is the remainder when f is divided by o(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 3*d**2 + 10*d + 3. Let p be (48\/(-4))\/4 + 4 + 10. Is w(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846a (base 14) in base 6?\nAnswer: -1151314","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*q = -2*q + 8, -3*h = 5*q - 21. Suppose 0 = -4*z + 5*y + 20, -3*z + 2*z = -4*y - 16. Sort h, -3, z.\nAnswer: -3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*q = -10, -5*q + 40 = 5*i - 3*i. Suppose 0*u + i = -5*u. Let z be -10*4\/(-16) + u. Is z bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:03 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.2 - 1.2. Let l = -136.683 - -128.73. Let i = l + z. Round i to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 42*a + 46. Let m be z(-10). Let g = m + 14716\/19. What is t in -18\/19*t + 4\/19 + g*t**2 + 18\/19*t**3 - 14\/19*t**4 = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - (5 - -1)) - (3 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsadbpassapqsssqds. Give prob of picking 1 p, 1 a, and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**2 - 37*t + 14. Is 7 a factor of b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + ((-150)\/(-8))\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4119 + 2793 = -20602*g + 20858*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/8*(-4)\/6. Suppose -3*p = -2*r - 18, -2*r = 3*p - 2 - 4. Sort t, r, 4 in decreasing order.\nAnswer: t, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 101. Let s be 3 + (4 + -2)\/2*r. Let w be 2\/(-3) + (-64)\/(-114). What is the biggest value in w, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492539 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8335 - 365. Is 69 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*g + 6*d - 17, g = 3*d - 7. Solve -2*l = 4 - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*k + 14, -5*m + 89*k = 86*k + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6 - -1) + 493\/(-374). Factor -10\/11*d**2 + 8\/11*d**5 + 2\/11*d**3 + 16\/11*d**4 + 2\/11 - k*d.\nAnswer: 2*(d + 1)**3*(2*d - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*y**2 + 29*y + 39*y**2 + 3*y to the form t + g*y + n*y**2 and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 340 = -29*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5 and -53870.88.\nAnswer: 511773.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b + 24*b - b**2 - 46*b - 4. Let v be j(-3). Is 1 - -249 - (v - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -72*j**3 + 4*j**2 - 9*j - 23. Is v(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 91 = -7*z. Suppose -35 = -5*m - 5*f, 4*f - z + 3 = -2*m. Let d = -9 + 22. Calculate the remainder when d is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26845201 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h + 5 = 2*u, 0 = 2*u + 2*h - 40. What is the remainder when 83 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/95 or 0?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 317920238 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9619586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d = -185. Let f = d - 32. Solve 4*u + 8 = 0, t - f*u - 7 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -653 + -39a?\nAnswer: -a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(2*d - 2*d + d**3) + 6*d**4 - 3*d**4 + 6*d**4.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/36 + 7\/18. Which is the closest to -1? (a) q (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*j + 22, 0*j = 3*q + j + 5. Let r be (-10)\/q + 10\/(-30). Solve -x + 6 = -5*o, -4*o + 3*x - r = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457121 is divided by 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64526434 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -743323a?\nAnswer: 7433234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -3 - (-16 + 0 + -5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (7 + -3) - (-1 - 3). Solve 2*y - 5*c = -0 + 25, -m*y = -4*c - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3*d*d\/(d\/d**6))**(-6\/7)\/(((d**(1\/3)\/d*d*d*d)\/(d\/(d*d**(5\/2))))\/(((d\/d**(1\/3))\/d)\/(d\/d**(-1\/5)))) assuming d is positive.\nAnswer: d**(-3137\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 2*m + m + (1 + 2 - 5)*(-2*m + 4*m + 0*m) - 17*m - 6*m - 5*m)*(-2 + 26 + 48) as u*m + o and give u.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**3 + 29*l**2 + 1164*l - 8. Let h(o) = 4*o**3 + 10*o**2 + 388*o - 3. Let c(j) = -8*h(j) + 3*i(j). What is the second derivative of c(k) wrt k?\nAnswer: 42*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -35. Suppose s*f + 41 = g, -2*g + 75 + 21 = 3*f. Let o be 20\/(-6)*g\/(-85). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 492 from -2.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 44, 3, 2 in decreasing order.\nAnswer: 44, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46440 + -15651?\nAnswer: 30456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4, -3*k + 5*m - 16 + 0 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8*k. Suppose 2*q - 16 - 84 = k. Suppose -3*o + 10 = -q. Calculate the greatest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**32*i*i**(-3\/4)*i*i\/i**4*i*(i\/(i\/(i*i*i**(-1\/4)*i)))**(1\/7)\/(i**(-1\/4))**5 assuming i is positive.\nAnswer: i**(-1717\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 53 = 11. Let t = g - 29. Let l = -7 - t. Solve 3*f + 14 = -l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 197*n**2 - 2046*n - 645. What is a(108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -3 (c) 190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/60 + f**4\/24 - 2*f**3\/3 - 23*f**2. Calculate d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 13 - 13)*(-40*l + 61 - 61) + (2*l + 5 - 5)*(3*l + 0*l - 2*l).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f\/(f*(f\/f**14*f)\/f))**22*f**(-1\/12)\/f*(f\/(f**30\/f))\/f assuming f is positive.\nAnswer: f**(3863\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/5731 and 57\/45848.\nAnswer: 45848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -619?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 327*l = -3*p - 330*l - 13, p + 5*l + 381 = 30*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8107, 8105, 8103?\nAnswer: 8101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 9 - 19)*(j**3 + 5*j**3 - 5*j**3) + (-2*j**2 + 3*j**2 + 2*j**2)*(3 - 3 - 3*j)*(-2 + 1 - 2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.019 - -12.019. Let l = 12.3 - k. Suppose 3*d + d = 4. Which is the second biggest value? (a) l (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i + 6. Let n(g) = -2*g**2 + 3*g - 12. Let b(u) = -4*n(u) - 7*q(u). Let v be b(5). What is the units digit of 410\/14 + v\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 24*k**2 + 3277*k + 88571. Give b(-28).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -46*f - 44. Let w be p(-8). Suppose k - a - 90 = 0, -5*a + w = 3*k + k. What is the remainder when k is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Let a be 0\/2 - -38 - 2. Let x be 3\/2*(-30)\/a. Is x at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 - 3 = 2*l, -2*m = -l - 5. Let t = 4 + l. Suppose 2*i = 4*q - 24, 4*q - t*i + 7*i = 12. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Let k(u) = -38*u - 42 - 11*u - 5 - 55. Let m(l) = d(l) + k(l). Find the first derivative of m(f) wrt f.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4143 and -67\/13212.\nAnswer: 18245772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 261 - 523 + 262.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -2\/3 (b) 3 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, m: 1, u: 9}. What is prob of picking 1 p and 1 u?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -101. Solve -t*r + 1 = -2*a - 1, 0 = 3*a + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 13) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184439464.\nAnswer: 2, 11, 73, 28711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4 + 181 + 257*u**4 - 2 + 138 wrt u?\nAnswer: 1036*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from ptllllptppppllt?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2*p - 2. Let k(d) = 2*d**2 + 5*d + 5. Let s(u) = 2*k(u) + 5*w(u). Let f(l) be the first derivative of l**3\/3 + 4. What is f(s(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 6. Let l be r(9). Let o(f) = -f**2 - 5*f - 4. Let t be o(l). Solve 5*h - 6 = t*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.459kg to grams.\nAnswer: 53459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129950031?\nAnswer: 3, 37, 1170721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**8\/168 + t**7\/105 + t**6\/10 - 2*t**5\/15 - 2*t**4\/3 + 11*t**2. What is o in v(o) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 5*q - 4. Let t be n(-3). Solve -4*m + 14 = t*i, 2*i + 10 = -m - 3*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) -0.4 (c) -1\/8 (d) -87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(-6 - 32\/24)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 15. Let r be t(-14). Sort -2, r, 0, 3 in ascending order.\nAnswer: -2, 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*41\/((-5166)\/(-70))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -d + 9. What is the highest common divisor of 125 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**12)*v*v)\/v)\/v**(-1\/4))\/(v**1)**(14\/13) assuming v is positive.\nAnswer: v**(633\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18748*k - 2183. Is z(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17532408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k. Let i(o) = -o. Calculate c(i(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 44280.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 163\/(-815) + 292\/(-40)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 18. Let l(c) = -2*c**2 - 3*c + 1. Calculate l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6587)\/(-77) + -33 + (-102)\/187.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-5)*z)\/z)\/z*z**(-3\/5)\/z)**(-1\/4)\/((z\/(z*z*z**(-1\/4)*z))**(-4))**(-46\/5) assuming z is positive.\nAnswer: z**(1321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10112 + -1?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 8*f + 2. Let z be (-1)\/(-4) - (-122)\/(-8). Let t be (z\/10)\/((-2)\/8). Is 13 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 2*s**2 - s - 5*s**2 + 88*s**2 - 410*s**2 + s**2 - 4*s**2 + s**2 + s - s**2 - s + (-1 + s + 1)*(-s + 3*s - 4*s).\nAnswer: -330*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14\/39, -0.01, -2 in decreasing order.\nAnswer: 2, 14\/39, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3422\/3 + 1121. Let b = 29782 + -61785\/2. Let k = b - -1077. Calculate the common denominator of k and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {f: 1, o: 2, e: 2, l: 1, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4860 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 4)*(2*f - 1 + 1) + 3*f - 2*f - 2*f - 21*f - 25*f - 47*f)*(-f + 13*f - 4*f).\nAnswer: -768*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -64*f - 50. What is the smallest common multiple of 33 and q(-2)?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -426 - -369. Let b = h + 54. What is the second smallest value in b, 4, -23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201824124.\nAnswer: 2, 3, 16818677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -153170*d**2 - 43*d - 4*d**3 - 1 + 153170*d**2 as o*d**2 + q*d**3 + f + j*d and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218 is divided by 240.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11260\/(-30402))\/((-35)\/3).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*i**2 + 31*b**3*i - 14433*b**3 - 3*b**2*i + 544*b**2 - 8*b*i**2 + 3*b*i + 2*i**2 wrt b.\nAnswer: 6*i**2 + 186*i - 86598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208086051.\nAnswer: 3, 69362017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 + 3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-3) + 26520\/4896.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2 + 346*z - 3426. Calculate r(44).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56924*i**2 + 4*i**3 - 56924*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4317 + -4314. Let c(p) = p**2 + 2. Let s(o) = o**2 - o. Give t*s(y) - c(y).\nAnswer: 2*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 32, -2, -70, -184, -356, -598?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p + 26 = 41*p - 2*n, -p - 2*n + 25 = 0. Solve 15 = -3*f - 3*i, -4*i + 18 - p = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {a: 5, v: 1, c: 1, h: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 50255?\nAnswer: 50253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(3*a**5 + 0*a**5 + 0*a**5 + (0*a**2 + 3*a**2 + 2*a**2)*(a - a - 5*a**3)).\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.73 + 11.7. Let j = 0.03 + l. Which is the biggest value? (a) 0.3 (b) -2\/31 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10457820026 + -18\nAnswer: -10457820044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2979432 is divided by 1411?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qde when three letters picked without replacement from {z: 1, d: 1, q: 1, e: 1, n: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-48) + (-26)\/(-12). Differentiate 4*i**3 - 3*i**3 - 14 - b + 3 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 4, -2, -2\/9, 475?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421394902 to the nearest integer?\nAnswer: 20528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/((n\/n**(-2\/31))\/n))*(n**(1\/4)\/n)\/n)**3*((n*n**(-7\/2))\/n*n*n**1)\/(n*(n*((n**(2\/5)\/n)\/n)\/n)\/n)**(-41) assuming n is positive.\nAnswer: n**(-42877\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2408)\/252)\/((196\/147)\/(7\/(7\/6))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1674.5 * 2216\nAnswer: -3710692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**3 - 18*f**3 - 37*f**3.\nAnswer: -75*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(1260) + sqrt(1260)*-2)\/(sqrt(14)\/(sqrt(2)*-2) - sqrt(7)) + (4*sqrt(625))\/(sqrt(60)\/(sqrt(12) + sqrt(12) + sqrt(24)\/sqrt(2))))**2.\nAnswer: 180500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Let k(u) = -2*u + 7. Let g be 1*(-27)\/(-6) - 6\/12. What is g*d(j) - k(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2135085, -4270165, -6405243, -8540319, -10675393, -12810465, -14945535?\n\"Answer: k**2 - 2135083*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + ((-22290)\/(-16) - 7\/56)?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/4*150\/(-45). Let o = k + 18. Which is the nearest to o? (a) 2\/7 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188841 is divided by 1234.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -22. Suppose -2*x = 2*x - k. Let b = 16 - x. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -4) + (6 + -1 - 16) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33246082 greater than or equal to 33246082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7736 + 7266. Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -77. Let g = w + -28. Let z = -10 - -14. Calculate the smallest common multiple of z and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 933890.\nAnswer: 2\/466945","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 1023843 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -687 + -1293. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**2 - 1 - 25*x**2 + 244*x - 7 - 244*x in the form z*x**2 + v + g*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1984?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*l - 715*l + 264*l**2.\nAnswer: 264*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*o - 1. Let t(k) = k**2 - 2*k + 5. Is t(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 325 = 7*n. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 + 4 - 15*g. Let u(m) = 69*m**2 - 74*m**2 - 30 - 15 + 79 - 34. Calculate h(u(x)).\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*d - 64. Suppose d*s = 20 + 7. Suppose -5 + 5*f + s*f**2 + 17 - 17*f = 0. What is f?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 6*b**2 - 7*b - 6. Let g be c(-5). Suppose 0 = -8*y + g*y - 12. Let d(l) = l**2 - 4. What is the units digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6364546 (base 8) to base 5\nAnswer: 413320100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vevpeveeeeeeeee. What is prob of sequence vv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -4*o - 4*z, -3*z + 0*z - 106 = -2*o. Suppose 5*h - 60 = 2*i, -4*h - 4*i + o + 26 = 0. Calculate the highest common factor of h and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 3*v. Let c be 11\/v + 2\/(-4). Suppose -c*r = -r. Solve r = l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*4*3\/(-18)*1. Which is the second smallest value? (a) -0.2 (b) 0.05 (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**4 + 2*f**3 - 8. Find the third derivative of h(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-g + 0 + 0).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19674429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(700)*1 - (sqrt(700) + 2 + -3))*3*1*-5)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 0*w - 2*w**3 + w**2 + w**2 + w**3 - w**2 - w**3 + 3*w**3 - 3*w**3 + 0 + 0 + 2*w**3 + (-3*w + 3*w - w**2)*(-3 - 2*w + 3).\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-14*o - 1 + 5*o - 2).\nAnswer: 36*o + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (25 - 5) - (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 minus 1983?\nAnswer: -1982.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 361175160.\nAnswer: 1083525480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*l - 4. Let y be 30\/l + 2\/(-7). Let n be 18\/(-120) - 1\/y. Which is the biggest value? (a) 1 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 9. Let z(g) = -g + 3. Let p be z(-3). Let s be b(p). Find x, given that x**3 + 2*x + 0*x**3 - s*x**2 + 0*x**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 16 = 9*j. Let t(q) = 13*q**2 + q - 3. Let b(i) = -12*i**2 - i + 2. Let y(l) = j*b(l) - 3*t(l). Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.104 + -53.104. Let k = -13 - u. Let j = k + -40.0000034. Round j to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/198 and -99\/28?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 1 o when three letters picked without replacement from oohxononxoxxoxhjhx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3143 - 0.2143. Is -3011 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10411338.\nAnswer: 2, 3, 7, 247889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1394 + -245647\nAnswer: -247041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -13, -58 in decreasing order.\nAnswer: 4, -4, -13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14770 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 12*l - 2. Let i be y(-11). Let f be (4\/(-6))\/((-3)\/i). Let h = 106\/3 - 35. Which is the closest to h? (a) -2 (b) -1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*g + 127*g + 14 = -2*m, -4*m - 18 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143143207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 492063?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 24)\/(6\/(-1988)). Suppose -811 = -11*z + o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 917673, 1835349, 2753025, 3670701, 4588377?\n\"Answer: 917676*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*l - 8 - 96 = 0, 232 = 3*m + 5*l. Solve -81 = -3*t - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - -3 - 424\/(-4). Suppose -108*x + 162000 = -u*x. Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7576356t?\nAnswer: 757635600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -60\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 7878\/37 and 214 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 2*b**2 + b + 2. Let n = -30 + 47. Let k(m) = 20*m**2 - 2*m - n*m**2 - 4 - 4*m**3 + 1. Calculate 3*a(g) + 2*k(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5)\/(6\/(-10)). Suppose 14 = -4*j + v*m - 0*m, 0 = 2*j - m + 4. Does j = 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 81*v. Let g(i) be the third derivative of i**5\/10 - 6*i**2 - 2*i - 49. Give g(h(k)).\nAnswer: 39366*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/24 - i**3\/2 + 8*i**2. Let l be g(4). Let j = -57 + l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 1612?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 85. Let b = -5 - -4. What is the closest to 1\/3 in b, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1 + 7 - 2*v - 6. Let x(f) be the third derivative of -f**6\/180 - f**3\/3 + f**2. Let c(z) be the first derivative of x(z). What is m(c(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - (-2)\/(-3). Suppose r + i*v - 6 = 2*v, -2*v - 10 = -3*r. Solve r*z = 3*j + 11 + 9, -36 = 5*j - 4*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 82*x**3 - 275*x**3 - 5*x**3 - 43*x**3.\nAnswer: -405*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -1 (c) 1.9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/661 + -501\/5288. Let w be (1 - 1) + 8\/(-24). Which is the smallest value? (a) -14\/5 (b) m (c) w (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -4\/17, 0, -5\/3, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14*(-3 - 1). Suppose -76 = -5*t + 2*b, -46 = -s*t + 2*b - 12. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -193 (b) 1 (c) -786 (d) 3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331323 - 2200303?\nAnswer: 131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y*y\/(y\/(y*y\/y**(2\/5)))))\/y)\/y)\/y)\/(y**(-5)*y))**48\/((y*(y*y**(-3))\/y)\/y**(-3)*y**(1\/2)\/(y*y**(2\/21))) assuming y is positive.\nAnswer: y**(-6133\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*2\/72)\/((-52)\/208). Which is smaller: y or 3\/26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3634*j - 8804. Does 21 divide z(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(-3 - 3)). Suppose -t*d + 2*v + 28 = 0, 13 = -3*v - 2. Suppose -29 = -k - 8. What is the remainder when k is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 < 839\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzcx when four letters picked without replacement from bxxxbxxxbbzcbbzccxz.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:53 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 13*t + 9. Let d be u(7). Solve -3*w - d = 2*j, w + 2*j = 5*j + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 21?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = a - 6*a + 14, -2 = 2*m - 3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592309?\nAnswer: 499, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m + 1. Let r(f) be the second derivative of f**4\/2 + f**3\/3 - f**2\/2 - 4*f. Let q(s) = 3*d(s) + r(s). Factor q(z).\nAnswer: (z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**3 - 19*h - 12*h - 3 + 32*h + 3*h**2 + 23*h**3 in the form f*h + d*h**2 + z + a*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 + -231. Suppose -q*l + 38 = 8. Solve -5*o - 2*r - 3*r = l, -22 = 2*o - 3*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2)*(4*p - 106*p + 8*p) to the form n + g*p and give g.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 10*p**4 - 328*p**3 + 14988*p**2\/5 - 25256*p\/5 + 11858\/5 = 0.\nAnswer: 1, 77\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -204 + 19b92?\nAnswer: 1998a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 1:39 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/3 - 1658*j\/3 - 43784\/3 = 0?\nAnswer: -26, 1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*v + 50 - 4, 2*v + 4 = 0. Suppose -2*s = -4*m + z + 54, 0 = -3*s + 6. Suppose 10 + m = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/4, -116, -6, 5, -7, 1\/4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143779751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*o - 11544 + 1478 = 5761 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4589 - 7161 = 4*k + 2*v, 2*k + 5871 = -5*v. Is k <= -5873\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53483977*s**6 + 4997*s**2 - 2*s - 903 wrt s.\nAnswer: -6418077240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 151 times -5.82777\nAnswer: -879.99327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let d = 36 + -23. Let r(g) = g**3 - 12*g**2 - 12*g - 10. Let o be r(d). Let h(t) = o*t + 129 - 129. What is x(h(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*v + 313*v + 491*v.\nAnswer: 1126*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/6*(-7122)\/(-9). Round t to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + 318097?\nAnswer: 318064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*p - 538*p + p**3 + 268*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 892145876 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 1:40 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795213.\nAnswer: 23, 121531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**3 - l**2 - 2*l + 38. Let c(r) = 11*r**3 + r - 20. Give 5*c(j) + 3*m(j).\nAnswer: -2*j**3 - 3*j**2 - j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 + -14. Suppose w = 5*w + 5*f + 22, -5*f - k = 0. Which is the third biggest value? (a) -5 (b) -2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(891)) + 3*sqrt(891) + -5)**2.\nAnswer: -216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 257*c**2 - 7*c + 235 - 173 + 109*c**2 - 111*c**2. Let v be d(6). What is v rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 278298959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/7 + (-512076)\/(-11398)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207467343 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1350)\/15)\/45*2\/(4*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-27))\/(7\/63). Let r(h) = -2*h**2 + 30*h + 366. Let z be r(-8). What is the nearest to 1\/4 in q, z, 133?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - i + 23 + 17 - 9 - 31. Suppose -u + 2 = -0*u. Let a(d) = 2*d + 3*d**u - d - d - 3. Give n(a(x)).\nAnswer: 3*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xono when four letters picked without replacement from cooungx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*m + m. Suppose -1080 = m*n - 27*n. What is the highest common factor of 40 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -67*v + 68*v + 375 - 367. Let i(m) be the second derivative of -m**3\/6 + 13*m. What is i(a(h))?\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*a + 4*a. Calculate the remainder when (8\/4)\/((-2)\/a) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*z = -4*z, -4*f = -4*z. Suppose f = 5*j - 15, 9 = l + 2*j - 1. Solve -5*o - 4*v = -5, -l*o = -0*v - 3*v - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 50, 4\/21, -1\/7?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((-225)\/40)\/((-6)\/8)) + 29053\/10254\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (1 + 5 + 8)) + 5 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38178691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:44 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -211230 (base 4) in base 13?\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1451420863795 + 19.\nAnswer: -1451420863776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 77. Suppose 3*v = j - 8, 31 - 25 = -j - b*v. Suppose l + 1 = 3*k, 4*k = 4*l + 6 - 42. What is the greatest common divisor of l and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 242?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:00 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3082, -6626, -10168, -13714, -17270, -20842?\n\"Answer: -j**3 + 7*j**2 - 3558*j + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -52*b**3 - 1. Let l = 400 + -239. Calculate the remainder when l is divided by n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2952*c**2*p**5 - 122*c**2*p - 8*p**2 wrt p?\nAnswer: 177120*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 6\/(-3)) + 8. Suppose c = 4*u - 10. Suppose -2*v + u*v = 12. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 - 2*u + 6. What are the prime factors of n(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 325*b**2 + 310*b - 640.\nAnswer: 5*(b - 1)*(b + 2)*(b + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23*h + 3. Let p(d) = -5 + 11*d + 2 + 5. Let m(u) = -5*p(u) + 2*v(u). Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 56 = -0*y - b, -y + b + 11 = 0. Is 10\/y*(-3429)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**12*h)\/(h*h**(-4\/7)))\/(h**(1\/6)\/h**8))**(1\/2) assuming h is positive.\nAnswer: h**(941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -a, -5*y + 47*a - 52*a + 15 = 0. Suppose 12 + 8 = 4*f + 2*b, 2*f = 5*b - 14. Solve 4*t + v - 12 = 0, 2*v - 9 = -y*t + f*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*n + r, r = 3*n - 8*n + 55. Suppose 4*v - n + 51 = 0. Let z be (-12)\/v*125\/10. Is z less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4552099*f**3 - 2*f**2 + 71712918*f.\nAnswer: 27312594*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-22)*8\/(-3). Let q = a - -1\/44. What is the nearest to -0.1 in 0, -4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.857, 0.12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 408.4468 to the nearest integer.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4*g - 14165*f**2*g + f*g - f + 22794*g wrt f?\nAnswer: 8*f**3*g - 28330*f*g + g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133219 is divided by 535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.06668?\nAnswer: 0.16668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 16 = -4*v. Let j = -23 + 18. Let l be (-16)\/(-6)*(17 + j). What is the greatest common divisor of v and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.86 + -1.86. Let d = -107.98784 + v. Round d to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10*b + 8*b + 30 = 0, 4*b = 4*j + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = -5. Let z be -1 + 1 + x + -7. Let l(y) = -5 - y + 1 + 3. Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6620*k**4*n**3 + 66*k*n**2 - k*n - 24*n**3 wrt k.\nAnswer: 79440*k**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 14.6, 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -b + 34, -2*b + 14 = -4*k - 40. Suppose -b = 5*x - 49. Suppose -2*l + 3058 + 1688 = -c, -x*c - 16 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5929 (base 13) to base 15\nAnswer: -3ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*u - u + 353, -f - 5*u + 104 = 0. Let s = 180 - f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5. Give d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 11*t**3\/6 + 2*t**2 + 6*t.\nAnswer: -t*(t - 2)*(t + 6)*(2*t + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.5. Suppose 5*t = -x + 9 + 3, -5*x + 33 = -2*t. Let s(g) = -g**2 + 8*g - 12. Let y be s(x). Which is the nearest to 7? (a) -0.3 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -3.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113 and 1.1?\nAnswer: -124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002293422 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71496 = 4*m + 4*h, 84*h + 53616 = 3*m + 85*h. Does 69 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -70. Solve 3 = -i*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 138*j + 9160. Let l be c(49). Let i(u) = u**2 - u. Let f be i(0). Sort f, -15, 2, l.\nAnswer: -15, l, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q**3\/7 - 24506*q**2\/7 + 52408*q\/7 - 936 = 0.\nAnswer: -819, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001055393 to seven dps.\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -36. Let f = 5187.40055 - 5206.4. Let n = f + k. What is n rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 580919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278775422.\nAnswer: 2, 223, 625057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:56 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/5)*f))\/f**(-4))**15 assuming f is positive.\nAnswer: f**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 41093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1d608?\nAnswer: 1d609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2960000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 26*p - 4. Suppose 2*d + 9 = 3*t - 39, -p*t + 32 = -5*d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*f + 3 = 0, 2*f + 3 = 7. Let n = -3.048 + 0.048. Which is the smallest value? (a) n (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 887 - 907. Calculate the common denominator of (-6)\/y + (-4020)\/(-900) and 85\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-21))\/(6*((-132)\/126)\/22)*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -111112211201111 (base 3) in base 4?\nAnswer: -123132001123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 1044728.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033716178658 rounded to seven decimal places?\nAnswer: 0.0337162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(42\/(-18) + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {y: 1, k: 2, g: 2, s: 1, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**6\/15 - 6*z**5\/5 - 33*z**4\/5 - 32*z**3\/3 + 1636. Solve n(i) = 0 for i.\nAnswer: -8, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2625*w - 40164?\nAnswer: 2625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6440445*d**4 - 660*d + 604?\nAnswer: -77285340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 68*a**2 - 120*a - 12861. Give m(-69).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66\/5 - 131\/5*a - 64\/5*a**2 + 1\/5*a**3.\nAnswer: (a - 66)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2023 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**3 + 2*v**2 + v - 1. Let g be k(2). Suppose -35 + g = 2*b. Solve -3*s - 16 = 5*c, 0 = b*c - 6*c - s - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 417. Let c(u) = -553. Let s(i) = 3*c(i) - 4*j(i). Let q = 6 + -10. Give s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*r = -204*r + 123*r + 542. Determine m, given that 0 + 8\/3*m**3 + 0*m + 2\/3*m**r = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -5*x**3\/6 + 155*x**2\/2 - 74*x. Suppose 0 = -p + 3 + 6. Calculate the remainder when m(28) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 8096, -2.\nAnswer: -5, -2, 1, 8096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 13.72.\nAnswer: -11.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (3 - 6) - (-42)\/7. Let z(k) = 6*k + 5. Let t(s) = s + 1. Let f(v) = -5*t(v) + z(v). Calculate f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.262 - -0.062. Let h = 72.74 + 1.26. Let g = h + -72. Which is the nearest to 1? (a) t (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:56 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111579569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 3. Let a(n) = 4*n**2 - 3*n**2 - 5 - 5*n**2. Calculate -3*a(y) - 5*c(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 164 + 39 = 0. Solve 0 = -2*y - 3*y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -953 (base 10) to base 6.\nAnswer: -4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*m - m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50a - -6424?\nAnswer: 5a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 23*a - 15. Calculate h(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h**3 - 45*h**3 - 47*h**3.\nAnswer: -151*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-15))\/((-660)\/(-39655)) + -19 + 27.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 313846 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 19 = 31. Let u = g - -18. What is the tens digit of 150\/u + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516035 and 163455.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -480 - -488. Determine j so that -46*j + 50 + 325*j - 127*j - 194*j**2 - f*j**3 = 0.\nAnswer: -25, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -16*c - 2. What is the common denominator of -62\/3 and 388\/132 + c\/(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*c - 7 - 3, u - 2*c = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 89*q - 41. Let p be w(1). Calculate the greatest common factor of 300 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (3*(sqrt(1008) + -1 + sqrt(1008))**2 - sqrt(1008))) + 0 + -3.\nAnswer: -12102 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 6*q + 9. Let p be s(6). Let u be (-12)\/p - 2\/3. Let b be (-2)\/11 - (-28)\/(-88). Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 4.1. What is the second biggest value in 0.9, 4, j?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 1718, 5807, 13768, 26891, 46466?\n\"Answer: 215*j**3 + j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvtrvtvvrtvvtv. Give prob of sequence rvt.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 7, s: 5}. Give prob of picking 1 z and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -112*v + 2. Let p(y) = -56*y + 1. Give 4*h(r) - 7*p(r).\nAnswer: -56*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -728*g + 330*g + 371*g - 648 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41541 (base 6) to base 11.\nAnswer: -4236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 516843521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -26. Is n smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/6 - 2\/(-6). Let m(f) = -50*f + 353. Let l be m(7). Suppose 3*a - 4 = 5*h, 2*a - 3*h + l = d. Put a, 3, -4 in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p**2 - 6*p + 5. Let n be j(-5). Suppose 4*w - n = 87. Suppose -5*z + z = 5*y - w, 5*y = -5*z + 120. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 62*m**2 - 7*m**3 - 62*m**2)*(-m - 5*m - m).\nAnswer: 49*m**4 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*l - 53, 9*l + 4*j - 83 = 164. Solve l*u - 10 = -5*g + 35*u, 0 = 4*g + 5*u - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:24 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 8}. Give prob of picking 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l - 1. Let g(n) = 5*n - 3*n - l + 1. Let z(k) = -9*k + 24. Let r(x) = -4*x + 10. Let p(o) = -12*r(o) + 5*z(o). Give g(p(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 21*j - 73. Let z be f(6). Let s(v) = -v**3 - 9*v**2 - 6*v - 3. Let y be s(-9). Let k = z - y. Solve 2*n + k*a = 6*a + 10, -20 = -4*n - 4*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 3*b**2 - b**2)*(7 + 2 + 0)*(2*b - 3*b + 0*b)*(b - 9*b - b).\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 6*z + 6. Let k = 0 - 6. Let w be i(k). Suppose -o + w*o - 10 = 0. Solve -7*f + o*f = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let r be -2 + 0 + 1 + 1. Let h be 2\/((-2)\/(r - 2)). Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 7}. What is prob of picking 1 u and 1 p?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5516.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -d + 3*b, 2*b - 105 + 101 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*r + 48, -6 = -w + 4*r - 0*r. Let k = w - -22. Suppose 4*l + 0 = -z + 2, 4*z = k. Solve 0 = -l*f + 4*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1, -3620, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, -39\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/15*(40\/3328)\/(60\/80)?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104\/171 + 23344\/31635. Find the common denominator of -29\/444 and u.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 - 38*n**2 - 30*n - 61. Let s(o) = -o**3 + 13*o**2 + 10*o + 20. Let l(a) = 3*h(a) + 8*s(a). Give l(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 340*l**6\/3 - 48*l**2 - 2*l + 344. Find the second derivative of j(g) wrt g.\nAnswer: 13600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00336989 rounded to 5 decimal places?\nAnswer: 0.00337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 17 (b) 0.16 (c) 0.01 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {s: 1, d: 3, e: 2, z: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*w**3 + c*w**2 - 2*c - 1653585*w**3 - 8*w**2 + 4*w - 17 wrt w?\nAnswer: -6*c - 9921510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/6*128\/(-80). What is the smallest common multiple of (-2*3\/o)\/((-351)\/(-936)) and 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2290)\/114 - (-7)\/42*4. Let u = o + 14209\/760. Find the common denominator of u and -89\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - q + 5, 2*p = -4*q + 2. Let j = 19 - p. Suppose -3*v + l - 7 = -35, -5*l = -3*v + 44. Calculate the remainder when j is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 1362*k + 1367*k - 125 = 0, 6*g - 3*k = -93 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -30*x**2 + 25*x + 25. Let l(u) = -u**2 + u + 1. Let g be 3 + (-54)\/15 + (-384)\/(-15). Give g*l(w) - r(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 4*t - 5*g - 10, 10 = -2*t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Suppose -2*v = -3*v + p. Suppose -r - 34 = -v*r. Solve 0 = -5*o + r - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000044275886 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -41 - 4*p**4 - 31 - 4*p - 34 + 8*p**3 + 8*p**2 - 2 - 4*p**5 + 104 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -34. Let n = 82 - 60. Calculate the smallest common multiple of w and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**6\/480 + r**5\/80 - r**3\/6 - 16*r**2 - 7*r. Let g(t) = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329512415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2. Let p(u) be the second derivative of 7*u**4\/12 - u. Let t(z) = 3*p(z) - 2*r(z). Let g(c) = 410 + 415 - 2*c**2 - 825. Determine t(g(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115909267157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3246)\/(-1)*(-17)\/(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 45. Find o, given that 4*o**w - 343*o - 4 + 371*o + 4 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmxmmxxm. What is prob of sequence xm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 11*j**2 - 12*j - 14. Let q = 99 - 109. Let f be c(q). Suppose f*r + 4611235 + 68765 = 0. Round r to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/12 + 3*i**3\/2 + 19*i**2\/2 + 791*i. Give r(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 16240 = 102*j - 510210. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(351) + (sqrt(312)\/(sqrt(8) + sqrt(8)*-2 - sqrt(8)) - sqrt(39)))\/(1*sqrt(75)*-1).\nAnswer: -9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69483?\nAnswer: 3, 19, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251225 is divided by 57039.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -84614799.3 + -4302?\nAnswer: -84619101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9153, 9212, 9163, 8952, 8525?\nAnswer: 7828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2 + 3 + m - 3 + 0*m. Let g be b(5). Suppose j - 2 = -0. Solve -3*q = j*h - 4*q + g, -24 = h + 4*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85203634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -64752 times 0.3\nAnswer: -19425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -6.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374170415 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3261, -6509, -9757, -13005, -16253, -19501?\n\"Answer: -3248*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-172)\/(-20) - 9 - 17\/(-5). Is p\/(-27) + 7680\/108 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1706*a - 943. Is w(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1 + 3*d**2 + 2 + 2*d - 4. Let o(w) = -7*w**2 - 5*w + 2. Let s be (-211)\/(-11) + (-26)\/22 + 1. Suppose -9*x = -s*x + 40. Determine x*o(f) + 9*z(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30201 and 241902.\nAnswer: 272103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*j - 1194, 339 + 554 = 3*x - j. Suppose 2*q - 2*p = 70, -5*p = 7 - 17. Calculate the highest common factor of q and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 43*r\/10 + 11\/10.\nAnswer: -(r - 11)*(4*r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/10 + 48 + -45. Let z = 1\/200 + 393\/1400. Which is the second smallest value? (a) p (b) z (c) 7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.8 + -8.800088. What is r rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.05 - -6. Let d = v + -0.05. Is d bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3502, 4530, 6244, 8644, 11730?\n\"Answer: 343*j**2 - j + 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 12575*n - 43*n**2 - 6288*n - 6287*n.\nAnswer: -43*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 <= 3786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2 - (2 - 0 - 3) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -0.1 (c) -3\/4 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = 2*d, -4*d + 2*v = v - 29. Let k(g) = 8*g + 6 + 12*g**3 - 4*g**2 - d*g**3 - 7*g**3. Does 15 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 s when four letters picked without replacement from rmsmmrss?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 63*z**2. Let r(g) = -32*g**2. What is s(r(o))?\nAnswer: 64512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/8 - 5)*1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((3204\/792)\/(-89))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750 (base 16) in base 9?\nAnswer: 21373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.79 times -2150?\nAnswer: -57598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*r - 34, -5154*r + 5155*r - 17 = -3*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 23 - 67)*(9*n**2 - 9*n**2 + 11*n**3 + n**2 - n**2 - 2*n**3 + (-3*n - n + 2*n)*(2*n**2 - 1 + 1) + 3*n**3 - 3*n**3 - n**3 - 8*n**3 - 8*n + 8*n).\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.9. Let u = a - 0.9. Let s = -0.3 - u. Which is bigger: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*h = 211, j + 3*h = 4*j + 615. Let x = -51322 - -562322\/11. Let z = x - j. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 275804556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11050 = -900*t - 2612 + 1462 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-2 + 2) - (-912)\/(-176). Which is the closest to 0.1? (a) -15 (b) -9\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 11:08 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/(-28) + -5 - ((-250)\/(-56) - 3).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136804487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 2*l, 4*l + 8 + 10 = -w. Let d = -14 - -10. Put -3, d, w in decreasing order.\nAnswer: w, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 15*h. Let w(s) = -3*s. Let f(b) = i(b) - 5*w(b). Let v(l) = -5*l + 3*l - l. Give f(v(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3032628645 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**3 + 37*s**2 - 127*s + 68. Give v(3).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*l - d - 15, -4*d - 6 = 2*l. Suppose 0 = -4*v + 33 - 13. Let b = v - 10. Sort 3, l, b in decreasing order.\nAnswer: 3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 8*o - 3. Let l be i(7). Suppose -l = 5*x - 2*v, 3*v - 8 = 3*x - v. Which is the fourth smallest value? (a) x (b) 0.7 (c) 5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 120150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(104)*1*-3 + 6*(sqrt(104) + sqrt(104)*2))\/(-4*(sqrt(800) - -1*sqrt(800))).\nAnswer: 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.5875 (b) -0.06 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 e when four letters picked without replacement from xeeyozycooy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*y**3 - 240*y + 240*y)*(-1 + 4*y + 1).\nAnswer: -312*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5858.982 litres to millilitres.\nAnswer: 5858982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45104 + -45104.047. Which is the closest to s? (a) -1\/5 (b) -4 (c) -2\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*v + 7. Solve v*c = 4 - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-30)*w**(-10\/13))\/(w**(2\/19)\/w**(-16)))**(1\/24) assuming w is positive.\nAnswer: w**(-3777\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*q - 5*g - 80 - 185 - 10, -4*q = -g - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 + 11*j**3\/6 + 9*j**2\/2 - 9*j. Let y be c(-8). Which is smaller: y or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 13*k = -9*k + 56, -a = 4*k - 9. Let g(v) = 2*v**3 - 23*v**2 - 23*v - 8. Does 11 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 - 3*x**2 + x + 2. Let m be s(2). Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.75994 micrometers to meters.\nAnswer: 0.00009575994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.519 (b) 56 (c) -0.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6583392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 113860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 9*p + 0*p**2 + 1\/3*p**3 - 19. Let x be w(-9). What is the greatest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 165*q**3 + 18 + 21.\nAnswer: -165*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or 145.43?\nAnswer: 145.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 + 3*n**3 - 13*n**2 - 17*n - 20. What are the prime factors of l(-8)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-517)\/(-6) + -1 + 58\/(-348). Find the second derivative of 19*v**3 - a*v**2 - 16*v + 39*v**3 + 83*v**2 - 31*v wrt v.\nAnswer: 348*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-3\/29)*u\/(u\/(((u*u**40)\/u)\/u*u))*u assuming u is positive.\nAnswer: u**(1250\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 2)*(-4 + 1 + 0 + (-1 + 2 - 3)*(1 - 1 + 2))*(2 + 2 - 6)*(-309*s**2 - 68 + 68) to r*s**2 + d + u*s and give r.\nAnswer: -21630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-50) - (-1)\/5. Does 39 divide -1 + b*139 + -2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 8.7.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = -2*r + 18, 2*r - 10 = -2*y. Sort 4, r, -4, 1 in descending order.\nAnswer: r, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -19, -4694 in ascending order.\nAnswer: -4694, -19, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/5 - 2*f**3\/5 - 54*f**2\/5 + 162*f\/5 - 108\/5.\nAnswer: 2*(f - 3)**2*(f - 1)*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*t + 11 - 27*t + 14 to the form o + k*t and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/7 and (-50)\/4*6\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10485 + -9081. Is 58 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 90. Let r(d) = -d + 358. Let c = -710 - -712. Let s(t) = c*r(t) - 9*b(t). Let m(g) = -g. Determine s(m(l)).\nAnswer: 2*l - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 25. Suppose u = -4*u. Suppose 5 = -g*d + 5*i - u, 3*d + 11 = 5*i. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873 is divided by 413.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205.9829 + 206. Let f = 0.0171229 - a. What is f rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**4 + 3320*r**3\/9 + 368*r**2\/3 - 528. Determine t, given that o(t) = 0.\nAnswer: -92, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d**2 + 62*d + 63. Let v be b(-1). Let s(f) = f**3 - 30*f**2 - 31*f + 6. Give s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263\/66 - 42\/11. Let l = -49 + 50. Let r(x) = -x**3 - 11*x**2 - 10*x - 2. Let p be r(-10). Which is the closest to l? (a) p (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/78 - (-3 - (-74)\/26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8436*s**3 + 28617?\nAnswer: -25308*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 1, -15 in descending order.\nAnswer: 1, -1\/6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -1\/2, 40\/4737?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 plus 682.1?\nAnswer: 1413.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116, 115, 114, 113?\n\"Answer: -x + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + i)*(-102 - 44 - 113)*(i**3 + 3*i**3 - 6*i**3).\nAnswer: -1036*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 86*t**2 - 117*t - 2838. Give j(-87).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 129709.4715s?\nAnswer: 0.21446671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2711000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*c + 183*c + 10. Suppose -2*w + 5 = -c*f + 7, -9 = -3*f. Solve -w + 8 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(40)\/sqrt(2))**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/344800 and -51\/620.\nAnswer: 10688800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 336.0523739657 - -0.5.\nAnswer: 336.5523739657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c**3 - 4*c**2 + 3*c + 1. Let x be j(-3). What are the prime factors of -10 + x - (-1 - (-1)\/(-1))?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1092217456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-10 - (-21 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m**4 - 2*m**3 - 53*m + 6. Let u(c) = -27*c**4 + 5*c**3 + 106*c - 13. Let g(r) = -13*k(r) - 6*u(r). Find the second derivative of g(s) wrt s.\nAnswer: -84*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2291 + -2294. Let k be 4\/(-14) + (-52)\/14. Let h be (0 - (-40)\/k) + 6\/l. What is h rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/384 and -73\/192?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348501 + 348504.9999984. Let t = -13 + 9. Let r = t + o. Round r to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4*x - 302*v**3*x**2 + 2*v*x**2 - 4*x**2 + 55*x wrt v.\nAnswer: -12*v**2*x - 1812*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -222*o + 219*o. What is the smallest common multiple of o and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3)\/(3*2\/1086). Let z = h - 179. Let o(c) = -3*c**3 + 2*c**2 - 2*c - 1. Let w(p) = -15*p**3 + 11*p**2 - 11*p - 6. Determine z*w(y) - 11*o(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + -14. Let h = s + -102. Is 2124\/60 - (-2)\/h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + (2 - -1 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -0.0822 in decreasing order.\nAnswer: 5, 0.3, -0.0822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 1 - (5 - 8). Suppose r*j - 23 = 1. Suppose -j*y + 6*y + u - 45 = 0, 4*y - u - 105 = 0. What is the remainder when 97 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2 + 2)*(-a - 3*a + 0*a) - 1265*a**2 + 1769*a**2 + 1902*a**2 to f + m*a + l*a**2 and give l.\nAnswer: 2398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m, -2*c + 108 = -3*m. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1123, -1126, -1139, -1168, -1219?\n\"Answer: -q**3 + q**2 + q - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 58c56?\nAnswer: -58c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/120*(1 - (-7)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.8 (b) 2\/7 (c) 32\/5 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000151285 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-124382.\nAnswer: -49752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - 1) + 56)\/(28\/(-56)). Suppose 0 = 4*u - 37 + 93. Let t be (-16)\/s + 100\/u. Let b(x) = -x - 6. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - 0. Factor -20 - 5*i**3 - 82*i**2 + 162*i**2 - 75*i**2 + 20*i + k*i**3.\nAnswer: -5*(i - 2)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*g)*(7*g - 31*g - 25*g - 1).\nAnswer: -98*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1679*o - 19 - 100 = -1686*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -64715320?\nAnswer: -64715320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 30*t + 2357605 = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3688, 29155, 98148, 232429, 453760, 783903, 1244620, 1857673?\n\"Answer: 3627*c**3 + c**2 + 75*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411321 + -4?\nAnswer: -411325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 253782984 and 11.479?\nAnswer: 253782972.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 2 - (-192)\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 0.3 (c) 1\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 3*r**4 + 14*r**4 + 2*r**2 + r**3 - r - 5 - 10*r**4 as z*r**2 + g*r**3 + b + y*r**4 + o*r and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/20 - h**4\/24 + h**2 - 3*h. Let b(s) be the first derivative of d(s). What is the second derivative of b(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let b(o) = o**3 - 2*o**2 + 3*o - 1. Let s be b(2). Let j(x) = -s + 2 - 2 + 2*x. Determine j(l) - 6*m(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + -35.6. Let o = k - -12. Let d = o - -24.000004. Round d to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 17024, -0.02?\nAnswer: 17024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 1833?\nAnswer: 181a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n + 36. Let r be c(-6). Let k = r - 68. Sort 3, -7, k in decreasing order.\nAnswer: k, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -44436?\nAnswer: 44433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.08. Let t = g + -0.01999976. Round t to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + 764 - 383 + 3173*f**2 - 2*f - 380 to y + p*f**2 + k*f and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/30)\/(75\/575).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let u = 358 + -359. Which is the nearest to u? (a) 0.4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169.374 + 165.1. Let n = q + 4.41. Round n to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*n + 1133 - 1096, -3*v + 5*n = -43. Let k = -20 - -28. Suppose -5*t + t + k = 0. Calculate the remainder when v is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/2)\/((-270)\/1980). Solve 13*l + n = 32 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932.2 + -931.2. Sort 2005, g, -3.\nAnswer: -3, g, 2005","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:05 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3110?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(4*d**3 + 5*d**5 - 4*d**3) + d**4 - d**5 - d**4 - 37*d + 92*d**5 + 37*d.\nAnswer: 81*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + t. Let w be 4\/(-6) - (-10)\/6. Let l be z(w). Let j(p) = -3*p**2 + 2*p + 1. Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100, -293, -734, -1247, -1856?\n\"Answer: -4*x**3 - 365*x + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 50 + q**2 - 2*q**2 - 2*q)*(3*q**2 - q**2 - 3*q**2).\nAnswer: q**4 + 2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19184 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794582168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:55 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let m be ((-1)\/(-2))\/(d\/(-4)). Suppose b + 3 = m*b. Solve -3*t - 3*s + b = 2*s, t - 5 = -3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 0, -2*h - 2*h + 86 = w. Is 23 a factor of (w\/4)\/((-6)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 15. Let y(p) = p + 2. Let w be y(-3). Let h(x) = x**3 - x - 1. Let o(k) = -2*k**3 - 2*k**2 + 6*k + 5. Let n(r) = w*o(r) - 5*h(r). Determine n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:35 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 2 (c) 1571\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -343, -347, -363, -397, -455, -543, -667?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*j**2 - 38*j**2 - 46*j**2 - 40*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyikikii. What is prob of picking 1 k and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 - (2 - 3). Suppose -2*h + 16 = f*a, 0*a + 3*h - 14 = -a. Suppose 0 = -a*g + 9 + 16. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c + 66. Let d be v(8). Find w, given that 2*w**2 + 3*w**2 - d*w**2 + 13 - 14*w - 2*w**2 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 4102 + 4162 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-88)\/20)\/11*-8350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 1, e: 7, j: 3, u: 2, t: 5}. Give prob of sequence hh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-4)\/(-18))\/(12\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 3, f: 3}. What is prob of sequence hfhh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 274*f - 17236. What is z(61)?\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrwffhhrbbbfbqrbbfh. What is prob of sequence hfh?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*5*45\/10. Suppose 6*o = 4*o + z. Calculate the greatest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94888*o + 94827*o = -2501 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 + 10*j**2 + 6*j + 28. What is the smallest common multiple of 4 and s(5)?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let z be t(1). Let j(f) = 15*f**2 - 2*f. Let s(g) = g**2. Let c(a) = j(a) - 6*s(a). What are the prime factors of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 19 = -5*g, -5*p + 76*g - 80*g = 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 4, g: 1, l: 2, r: 1, y: 2}. What is prob of sequence cc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/4620 - j**6\/990 - j**5\/660 + j**4\/66 + 19*j**3\/6 - 14*j**2. Let x(m) be the first derivative of y(m). Factor x(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -941, -1883, -2825, -3767, -4709, -5651?\nAnswer: -6593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-1)\/10)\/(15\/30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - a. Let g(x) = -11*x**3 - 11*x - 2. Let u(y) = -6*y**3 - 6*y - 1. Let q(o) = -4*g(o) + 7*u(o). Calculate -3*d(z) - 2*q(z).\nAnswer: 2*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + d**2 - d**2)*(-2 + 9*d - 4*d - 4*d) to w*d**3 + k*d**2 + y*d + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83375963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 11*j**4\/24 + 11*j**3\/3 + 2*j**2 - 26. Let y be b(-2). Solve -4*d + y*d = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.2 + 292.8. Let w = 324.99999869 - n. What is w rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3699.14 - -3699. Put i, -0.4, -0.08, 3 in descending order.\nAnswer: 3, -0.08, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((5\/((-2110)\/8))\/2). Round h to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10 - 12 + 31 - 9 + 25*m. Let o(y) = -21*y**2 - 11*y - 11. Let v(q) = 4*q**2 + 2*q + 2. Let i(g) = -2*o(g) - 11*v(g). Give i(a(s)).\nAnswer: -1250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403916?\nAnswer: 2, 241, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**5\/10 + b**4\/24 + b**3\/6 - b**2. Let d = -436 + 436. Suppose d = -9*k + 4*k - 30. Determine w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18149 times -5\nAnswer: -90745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 8*h + h + 5*h. Sort -1, 2, -29, 1, h.\nAnswer: -29, h, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = 5*w - 5, 5*w = 2*p - 34. Suppose p*j - 16 = 3*j. What is the second derivative of 3*q**4 - j*q - 3*q + 2*q + 4*q wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/224 and 59\/38.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217897*m - 25*m**2 + 435805*m - 217898*m.\nAnswer: -25*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/7, 90415?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llmm when four letters picked without replacement from {l: 9, m: 9, v: 1}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 152 + 6)*(2*m**5 - m**2 + m**2).\nAnswer: 406*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2272.4 - 2272. Let g = 1.09 - 0.09. Sort -1, x, g, 34 in descending order.\nAnswer: 34, g, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + o + 3, -3*n - 17 = 5*o - 2. Suppose n*q - 5*q = -2*w + 98, -10 = 5*q. What are the prime factors of (1 + 2)*w\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -5.1\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303\/5 - -61. Which is the closest to 3? (a) o (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2251.94 + -2252. Suppose 0 = -m - 4 - 0. Is m > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*y**2 + 6\/5*y**3 + 0 - 4\/5*y**4 - 2\/5*y**5 - 8\/5*y.\nAnswer: -2*y*(y - 1)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 111*m - 91. Is o(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(150) + sqrt(27)*1 - (-4 + sqrt(432))**2.\nAnswer: -448 + 496*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1479 + 8816. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m**3*n*s**3 - 3352*m**3*s**3 - 5*m**3 - 14*m**2*n*r + m*n*r*s - 220*m*s**2 + r*s**3 - 2*r*s**2 wrt s.\nAnswer: -42*m**3*n - 20112*m**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339821639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140913366?\nAnswer: 2, 3, 11, 2135051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - (4 + 3 + 1 + -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 9 + (-5)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 242 = -7*g - 33*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 16*u**2 - 2*u + 95. Determine n(-14).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1846418, 3692838, 5539258, 7385678, 9232098?\nAnswer: 11078518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/195980 and 59\/3580?\nAnswer: 35080420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1958.3179 and 0.3.\nAnswer: 587.49537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3002 - 751 - 756 - 2*y - 745 - 11*y - 748.\nAnswer: -13*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*n - 69, -3*k - n = 4*n - 102. Solve k*j - 33*j + 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -414, -929, -1622, -2469?\nAnswer: -3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -142*x**3 - 3*x**2 + x + 30. Is n(-3) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1589154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 1.672743.\nAnswer: 4.0145832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/18)\/(-2*(-17)\/((-2244)\/(-8))).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/102555 and 161\/660?\nAnswer: 4512420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-812)\/144 - -6 - 6) + 4 and -11\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 63051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6840 - 6749. Calculate the highest common factor of 2847 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18635180*n - 64774294.\nAnswer: 18635180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 - v + v)*(-20*v**2 + 3*v**2 - v**2).\nAnswer: 36*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 - 2*m**4\/3 + m**3 + 4*m**2 + 33*m. Let k be z(-9). Find the third derivative of -79 - k*n**3 + 24*n**2 + 79 wrt n.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149369?\nAnswer: 3, 13, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 8*g - 4. What is q(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -541\/1208 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/24 + 19*a**3\/6 + 22*a**2. Calculate the remainder when 58 is divided by m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6986 to 2 dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1780264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 + 3*g - 1. Give x(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -13 - (-2 + -1 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 4, 2, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.27 - 12.99. Round v to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/24 + 13*t**3\/6 - 169*t**2\/4 - 18*t. What is v in n(v) = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3105929, 5, 9, -1, -3, 1 in increasing order.\nAnswer: -3105929, -3, -1, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -7477?\nAnswer: 18\/7477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06253 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 7. Calculate q(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 8, 8, 6, 2?\n\"Answer: -h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**3\/3 + o**2 - o + 5. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1)\/(-42 + 40). Calculate the common denominator of (b + (-146)\/4)\/(38 - 27) and -31\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/7)\/c)\/(c\/(c**(20\/3)\/c*c)))\/(((c*c**(-10)\/c)\/c)\/c**2) assuming c is positive.\nAnswer: c**(353\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/17430 and 103\/75803070.\nAnswer: 75803070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + o - 45, 3*o - 39 = -4*v + v. What is the greatest common factor of v and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*v**5 + 546*v**2 wrt v?\nAnswer: 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*n = 8, -5*p + 4*n = -15 + 5. Factor 989 - 4*r**p - 6*r + 3*r - 941 - r.\nAnswer: -4*(r - 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 494\/6 + (-1)\/3. Let o = 129 - c. Let q = o - 24. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 12. Let q be x(-7). Suppose 2*s = -2*s + 20. Suppose q*t = s + 1. Solve -7 = 2*v - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(-34)\/51?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-18))\/((-1575)\/1890). Determine v so that 0 + 0*v**2 - d*v + 2\/15*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o + 1. Let p(b) = b**2 - 4*b. Let m(q) = 3*h(q) - 2*p(q). Let a be m(0). Suppose -a = -5*u + 72. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 23*k + 7*k + 2*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -18. Suppose -2*v - z = -2*i - 0*i, 25 = 4*i - 5*v. Suppose 3*f - 3*s = -2*f + 24, 5*s + 12 = -f. Solve -f*l + i*l + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - 9*k**2 - 6*k - 6. Let a(s) = 5*s**3 - 17*s**2 - 11*s - 12. Let i(d) = -4*a(d) + 7*n(d). Let r = -621 + 616. Determine i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13003033 - -10?\nAnswer: 13003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1287 and -79\/3432.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*g = -2*g + 66, 0 = 2*g - 6. Suppose 0 = -i + 23 + w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 2 d when four letters picked without replacement from daawhaaaahawhdadd?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 + (-127999999)\/5. Round z to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/15 - 14*h**4\/3 + 18*h**3 - 88*h**2 - 137*h. Let g(l) be the first derivative of q(l). Determine w so that g(w) = 0.\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54030, -216136, -486320, -864588, -1350946, -1945400, -2647956?\nAnswer: -3458620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -74. Let q be ((12\/(-16))\/(-3))\/(w\/(-24)). Let o = -8 - -11. Which is the closest to -0.4? (a) q (b) o (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17*x - 90 = 0. Let u(j) = -j**2 + 3. Let s(n) = -10*n**2 + 26. Calculate x*s(t) + 52*u(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 11. Suppose -11 = 4*u - 30*g + 29*g, -17 = 4*u - 3*g. Let f(w) = 3*w**2 + 23. Give u*f(r) + 5*b(r).\nAnswer: -r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r - 3. Let y(a) = -462*a**2 - 17*a + 4345. Let z(p) = 8*g(p) + y(p). What is the first derivative of z(c) wrt c?\nAnswer: -940*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (0 - (8 + -13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1110226*12.5\nAnswer: 13877825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4513 - -1.9513. What is the closest to -0.4 in -0.37, -2\/15, w?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 49 = -140. Let z = -24 + o. Let x = 1 + -4. Sort x, -4, z in descending order.\nAnswer: z, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*h + 909 = 0, -5*h + 4 = -16. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/441)\/((-44)\/(-14))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 2, n: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/12*2056\/(-6425)*(-30)\/1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -4*g. Let a be ((-2)\/g)\/(2\/(-52)). What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156*j**4 + 504*j**2 wrt j?\nAnswer: -3744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11374, -22736, -34088, -45430, -56762, -68084?\n\"Answer: 5*f**2 - 11377*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - (30 + -21 + -17)) + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 308 and -0.5?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 294\/2017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -201*f**3 - 6*f**2 + 15*f + 50. What is the tens digit of d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004854 to four decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0678 - 67080?\nAnswer: -67079.9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Sort 0.1, u, 2.\nAnswer: u, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 78 = 120 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:23 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1019 divided by -1\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/18*2)\/(3\/(-9)). Solve -y*a**3 + 4\/3 - 4\/3*a**2 + 2\/3*a = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(99) - (sqrt(99) + -4*sqrt(99) - sqrt(99))) - sqrt(99))\/(sqrt(9) - sqrt(9)*4*3).\nAnswer: -76*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 6, -5, 2, 58, -56.\nAnswer: -265, -56, -5, 2, 6, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(-2002)\/(-33). Calculate the highest common divisor of b and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240352 = -25*u + 17*u - 21*u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b0 - -726a9?\nAnswer: 72a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-1\/19)\/r)\/r*r)\/(r*r**(-6\/5)) assuming r is positive.\nAnswer: r**(14\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5*f**6\/4 - f**5 - 15*f**4\/8 + 5*f**3\/3 - 26. What is p in s(p) = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2. Let a(b) be the first derivative of 3*b**3 + 21*b - 9. What is -4*a(f) - 42*h(f)?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 6*b**3 + 13366109*b**2 - 13366109*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1762 + -149638. What is u rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*j**4 - j - 2289 wrt j?\nAnswer: 116*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 z when four letters picked without replacement from zdldd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057326 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 14.0243\nAnswer: -28.0486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26747 is divided by 4455.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 609\/4 - 152. Find the common denominator of 151\/18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*m - 5 = 10, -16 = 4*h - 5*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((sqrt(4212) + 1 + sqrt(4212))**2 + sqrt(52))*5).\nAnswer: 1850*sqrt(13) + 421235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w - 3*w**3 + 12 + 49\/2*w**2 + 1\/6*w**4. What is the derivative of r(z) wrt z?\nAnswer: 4*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66\/110 + (-399)\/(-35) and (-1 - (-2)\/(-2)) + 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25299 - -241. What are the prime factors of n?\nAnswer: 2, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205*j - 2 + 8 - 2 - 4)*(-5*j**4 - 8*j**2 + 8*j**2) + 12*j**5 - 54*j**5 - 5*j**5.\nAnswer: 978*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 5*j + 2. Let a(w) = -w**2 + 5*w + 3. Let l = 7 - 9. Let y(i) = l*a(i) + 3*f(i). Suppose v + 4*p + 0*p = 13, 2*v + 3*p = 16. Give y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -464, -444, -404, -338, -240, -104, 76?\n\"Answer: w**3 + 4*w**2 + w - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/36 - z**3\/3 - 3*z**2\/2 - 3*z + 31. Solve i(v) = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-209)\/(3762\/696)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 410197590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*o + 15, l = -2 - 1. Let v be 2 - (o + -12 - 3). Suppose 0 = -5*a - 5 + v. Solve -9 = k + a*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 69 + 13. Let i = 22 - u. Let t = i - 5. Solve m - t = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11170722?\nAnswer: 2, 3, 1861787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = k - 46 + 118, -3*k = -g + 6. Suppose -5*z = g, v + 4717 = 5*v + 5*z. Let t = v - 516. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(7))\/sqrt(4) - (sqrt(3) - (-5*sqrt(21)\/sqrt(7) - sqrt(3))).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 55 (b) 3 (c) 1\/14 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4774795 years to decades.\nAnswer: 0.04774795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8050638 and 4371.\nAnswer: 378379986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 6996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 35*d - 171. Calculate m(-31).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 55*r. Let l(a) = 8*a. Give 22*l(c) - 3*x(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22919 - 22919.014104. What is z rounded to four decimal places?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8616.049 - -252.\nAnswer: 8868.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 24. Let p = q - 3. Let s = 1 + 2. What is the remainder when p is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1 - -1)\/1. Let g be z - 1 - (-5)\/6. Let j be (-36)\/(-48)*(-32)\/54. Which is the nearest to -1\/2? (a) 1 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose 0 = -b + 6 - 2. Suppose -d = b*u - 271. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(42)\/sqrt(6)) + sqrt(10))\/(sqrt(2) + -3*1*sqrt(2)) - (4 + sqrt(605) + -5 + 0 + sqrt(605) + sqrt(605) + -5).\nAnswer: -34*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.9 + -37.90003235. What is g rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15372 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 17*p**6\/6 - 19*p**3\/3 - 13. Find the third derivative of a(h) wrt h.\nAnswer: 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62514943?\nAnswer: 23, 2718041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - -2) + -8 + 7 + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 2*j**3 - 2*j**3 + (3*j + 0*j - 5*j)*(4*j - 4*j + 3*j**2) - 5 - j**3 + 4 + 3*j - j.\nAnswer: -6*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -80544 <= -2013634\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2241103299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*y + u, 4*y + 2*u + 4 - 2 = 0. Let i be ((-15)\/y - -2)\/1. Suppose -3 = -h + 1. Put i, h, 3 in ascending order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303867297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5032, -13475, -27552, -47269, -72632, -103647, -140320?\n\"Answer: -p**3 - 2811*p**2 - 3*p - 2217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 19 = -5*o, 3*o + 22 = -5*m - o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + -5 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 37*h**3 - 367*h**2 - 6*h + 18. What is m(4)?\nAnswer: -3510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55\/20*2\/11\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.39 rounded to one dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b**(2\/3))\/(b*b**(-1\/2)*b*b**2) assuming b is positive.\nAnswer: b**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = p + 24440. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*n, 4*m - 4*n - 19 = 5. Let s be (2 + 3)\/(2\/m). Let l = s - -7. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from lllldlll?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10230 + 41?\nAnswer: -10134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -3*h + 2*r, -21 = -3*h + 4*r + 125. 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: Three letters picked without replacement from {q: 2, w: 6, v: 1, r: 2, x: 4}. Give prob of picking 1 w, 1 v, and 1 r.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(76) + (sqrt(76) - sqrt(76)*-2) - sqrt(76))*-5)\/((sqrt(16)*2 - sqrt(16)) + -4*sqrt(400)).\nAnswer: 45*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 72 = 4*k - 40, 13 = 2*c + k. Solve c*q = 17 + 15 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 124, 276, 480, 730, 1020, 1344?\n\"Answer: -s**3 + 35*s**2 - 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 + -5 + 14. Suppose -7*g = -3*g - x. Let w = 3.7 + -3.8. Which is the nearest to w? (a) 0.2 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/7 + 179296*f\/7 - 6098376\/7 = 0. Calculate f.\nAnswer: -89682, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 3*s**2 - 4*s - 4. Let z(b) = b**2 - 1. Let u(c) = d(c) + 4*z(c). Let x be u(6). Solve -2*f - 2*w = f, -x*f = -3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2196, 16209, 53992, 127431, 248412?\n\"Answer: 1981*x**3 - x**2 + 149*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 8*v + 20. Let n be w(10). Let s be (357\/(-4) - n)*24\/(-9). Let t = s + -137. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 36. Let a(w) = 2*w + 5. Give -3*a(g) - f(g).\nAnswer: -11*g - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v**2 - 2450*v + 58029. Calculate x(21).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:37 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*p**3 + 246*p**3 - p**2 - 9*p**2 + 0*p**2 - 476*p**3.\nAnswer: -2*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o**(-1\/8)\/o))*o*((o**(-2\/9)\/o)\/o*o*o*o*o)\/o assuming o is positive.\nAnswer: o**(47\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 182\/51 - 3887\/408. Find the common denominator of q and 13\/498.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745668 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*1 + (-47)\/(2115\/450).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 3. Let g(t) = 10*t + 31. Calculate g(x) - 3*s(x).\nAnswer: x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 3 + 19 + 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3283 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/sqrt(3)*5)\/(sqrt(28)\/(sqrt(64) + sqrt(4))).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1872\/390*10\/18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -216951098 and -2446?\nAnswer: 216948652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 16. Let w be b(-2). Suppose w*i - 66 = 102. Solve -5*o - i = -p + 4*p, 5*p - 2*o = -22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1112875 divided by 222575.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 17*t - 25. Let x be k(-18). Calculate the lowest common multiple of 70 and (3 + -6)\/(x\/35).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31346 and 1050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10218 or -10219?\nAnswer: -10218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 10186?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 1\/3*r**3 + 0*r**2 - 11*r + 0. Let p(y) = 12*y. Calculate p(m(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 2 - (114 - 123) - (44 + (19 - 7))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 430668*r**2. Let j(c) = 4*c**2. Determine f(j(b)).\nAnswer: 6890688*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6)*m*m*m**(-4)*m)\/(m**22\/(m\/(m*m**(-13\/4)*m))))**8 assuming m is positive.\nAnswer: m**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/8 + -3)*(-21)\/((-945)\/60)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 200001020200012?\nAnswer: -200001020200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -261 and -0.2?\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 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: Which is the nearest to -1\/4? (a) -5 (b) 1 (c) -1 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476362 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -20, 5*i = q + 23 - 2. Suppose 0*p + 3*p = 2*v - 12, i*v - 4*p = 30. Let g be (-1)\/(-12)*v\/2. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681*o + 656*o = -1016 - 2609. Solve o - 47 = 14*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43642 - 157842. What is m rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.915 + 0.085. Is p != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 7) to base 5.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 184 - 666?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tljjlrjtjrtruttlrj. What is prob of sequence ur?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352772115.\nAnswer: 3, 5, 1031, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-255))\/((-236)\/(-295)). Let n = -341\/204 + x. Which is the closest to n? (a) -5 (b) 3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.106 - -0.006. What is the nearest to -3 in -4, -3\/2, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -13 (c) 0.3 (d) -14\/9 (e) 2\/7 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-15)\/663) + -5 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 350370587650?\nAnswer: 350370587649.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzxuuuxu. Give prob of sequence zuz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(117\/26)\/(2\/12). Let n be ((-400)\/6 - 0)*(v - -1068). What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (330 - 335)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4366967 >= -4366970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {n: 4, x: 4, s: 2, i: 1, l: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -180, -160, -122, -60, 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.07992 and 0.1218?\nAnswer: 0.20172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3 = 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 474 = -75. Let h(q) = -418*q**2 - 133. Let x(f) = -19*f**2 - 6. Let m(y) = b*x(y) - 6*h(y). Let t(z) = z**2. Give t(m(c)).\nAnswer: 361*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65242.33ml to litres.\nAnswer: 65.24233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzb when three letters picked without replacement from {n: 2, b: 2, c: 3, x: 3, z: 1, m: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 3*o - 2. What is c(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 33. Let h be w(-16). Suppose -h*m = -9*m + 18480. What is m rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 5*a - 6*a**2 + a**3 + a + 8 + 4*a. What is the smallest common multiple of w(6) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5 + 5*i**4\/2 - 15*i**3\/2 - 5*i**2\/2 + 25*i\/2 - 6 = 0.\nAnswer: -4, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50517377 + -399.77\nAnswer: 50516977.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10333*y - 13004*y + 19193*y)*(-2*y + 3*y + y)*(2*y - y - 2 + y) as z*y**3 + r + o*y**2 + g*y and give o.\nAnswer: 16576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448*c - 1243*c + 558*c - 565*c.\nAnswer: -1698*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 94658578571.\nAnswer: 94658578571.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - 8*d**3 + 2*d**3)*(3 - 3 - d) + (1 - 1 - 2*d**3)*(4 - 4 - 5*d) + 6*d**4 - 2*d**4 - d**4 - 2*d**4 + 3*d - 3*d.\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 196*c**3\/3 - 51520*c**2 + 29424*c - 12608\/3 = 0.\nAnswer: 2\/7, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/2 + 11*r**2\/2 - 3*r + 19. Let x(q) = q. Let d be x(7). Let f(i) = -i**3 - 5*i + 1. Determine d*f(y) + 3*v(y).\nAnswer: -y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14232 (base 5) to base 7\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-3 - (-9 - -7))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + -15 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 10. Let g be x(-3). Is 2\/g + (-1266)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m - 51103. Let o(p) = -2*p. Determine o(b(s)).\nAnswer: 20*s + 102206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:21 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -71 (b) -3 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:26 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/13)\/(3*(-7)\/84)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 656980*u + 5256160.\nAnswer: -5*(u - 131404)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2550, -2529, -2534, -2601, -2766, -3065, -3534?\n\"Answer: -6*s**3 + 23*s**2 - 6*s - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 3600*s - 648000 = 0. Calculate s.\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + 6. Suppose -3*f + 10 = u*l - 193, l - 99 = -2*f. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40001274 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -397 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x + 9*x - 14*x + (-3 - 2 + 6)*(3*x + 2*x - 7*x) - 1 + 15*x - 35*x + 17*x in the form l*x + y and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121541 divided by 23?\nAnswer: 121541\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 + 0.04. Let l(n) = n**3 + 4*n**2 - 6*n - 3. Let w be l(-5). Let a = -176 + 1230\/7. What is the closest to a in c, w, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 0 + 13 - (-1 + 0). Solve -3*y - v = -5*h, -2*h = -h - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -80.1. Which is smaller: x or -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 245945287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((2 - 17) + -1). Suppose 2*z = -0*z - 28. Let s be 52\/i + (-4)\/z. Put -3, 5, s in increasing order.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23158, -92602, -208340, -370366, -578674, -833258, -1134112?\nAnswer: -1481230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11001110001010?\nAnswer: -11001110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -794*w + 990*w - 552*w + 1477*w + 1606*w to d + n*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.22 and -6.546348653.\nAnswer: -6.766348653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229 = 9*g + 1121 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039541 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 7*x + 10*x + 231 - 28*x + 211 - 356.\nAnswer: -2*x + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 4*d**2 - 2*d + 3. What is p(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 20*t - 5. Let z be c(-20). Put -1, z, 3 in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296820 and 17868564?\nAnswer: 89342820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (150 - 142)*(-11 + 2645\/184)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 - 2 = 0. Suppose -x = -3*x - 4*h + 34, -z*h - 85 = -5*x. What is the remainder when 79 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/48 + r**5\/10 - 25*r**4\/24 - 73*r**2. Find the second derivative of w(p) wrt p.\nAnswer: -140*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40012109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and 7132285.\nAnswer: 7132314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -16*h - 125. Let w = 38 - h. What is the remainder when 1\/(-1 - 76\/(-74)) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 b when four letters picked without replacement from {c: 1, y: 2, z: 1, b: 1, i: 2, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:59 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80458, -80262, -80056, -79834, -79590, -79318?\nAnswer: -79012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274947.\nAnswer: 3, 37, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4306\/215871?\nAnswer: 4306\/215871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 145, 217, 289, 361?\n\"Answer: 72*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 1\/4, 25017 in descending order.\nAnswer: 25017, 3, 1\/4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(sqrt(1100)*-1*-6 - sqrt(1100) - (-2 + -1 + sqrt(1100)))*-4*4)**2.\nAnswer: 8847360*sqrt(11) + 649138176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 2?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 227*v**3 + v**2 - 13*v + 12. Let q be o(5). What is the hundreds digit of (-24)\/(-156) + q\/39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507623689 to the power of 1\/3, to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 0 + 0)*(o**2 - o**2 - 7*o**3) + 20*o**5 + 21*o**3 - 21*o**3.\nAnswer: 41*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/(-5425) + (-4368)\/434\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -45 + 18 + -19 + -32?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*x + 848*x + 224*x = 32659 + 9869 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050105616 a multiple of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6258 (base 15) to base 11\nAnswer: -14684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let p(q) = 4*q - 6. Calculate 3*n(k) + p(k).\nAnswer: k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23122 (base 6) to base 9\nAnswer: -4455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 239, 7, -3, 1, 3 in decreasing order.\nAnswer: 239, 7, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291.88 - -2.12. Let u = -293.783 + s. Let v = u + 0.085. What is v rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5 + 1\/5*p**3 - 2*p**2 - 23\/5*p.\nAnswer: (p - 12)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17 + 8*v + 17. Let p(a) = 2*a**2. Determine l(p(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36759?\nAnswer: 3, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.323 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21777 - -21803. Let d be 0 - -101 - 0\/2. Let z = d - 49. Calculate the greatest common factor of z and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -635646544?\nAnswer: -635646535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -23. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/25, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:48 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 275 = 3*a + o, 4*o = 4*a - 300. Let q be -2*3\/2*63\/(-27). What is the greatest common factor of q and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 55*l + 93. Let v be r(18). Which is greater: 1082 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152917291 - 0.3\nAnswer: 152917290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let r be f(-4). Suppose 0 = -r*z + 65 + 205. Suppose -g + z = g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s + 2*s - 3*s)*(2*s**4 + 5*s**3 - 5*s**3) + 7*s**2 - 2*s**5 - 7*s**2 + (1 - 1 + 2*s**4)*(0*s + s + 3*s).\nAnswer: -24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 9*n = 119712 - 899928. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 765 - 55081\/72. Let q = -149\/360 - l. Suppose -4*g + 5*d = 0, -3*g + 2*d = -3*d. Which is the nearest to 1? (a) -5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b + 63*b + 665140 = -160085. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 352 and -10.16985.\nAnswer: 341.83015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6573 and 654?\nAnswer: 1432914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/45122 and -109\/172284.\nAnswer: 1895124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -595221 divided by -5\nAnswer: 595221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16626 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, 5 in descending order.\nAnswer: 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 109 = -29. Let k = -19.7 - -20. Which is the smallest value? (a) k (b) -2 (c) -6\/7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*w - 795*w = 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -47.59861?\nAnswer: -95.19722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*t**3 - 1323*t**2 - 56*t - 3840.\nAnswer: 762*t - 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1.1, 4\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38\/85 + 6\/17. Suppose 4*x - 4*v = 4, -3 = -x - 0*x + 3*v. Let p = 9\/29 - 41\/319. Which is the nearest to x? (a) r (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/1 + 3)\/((-6)\/702). Suppose -x - 3 = -6*z. Solve -2*a = -7*a + z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssscssssssssss. Give prob of sequence sscs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -10, -0.24, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/10 + 22647*z**4\/10 - 204093*z**3\/2 + 3062745*z**2\/2 - 7658550*z.\nAnswer: z*(z - 15)**3*(z + 22692)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9241433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 18*f**2 + 23*f + 15. What is i(19)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:17 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205 + 591*m**3 + 153 - 302*m**3 + 319*m**3 + 182*m**3 wrt m.\nAnswer: 2370*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 45*z**2. Let k(s) = -56564*s + 2. What is k(a(o))?\nAnswer: -2545380*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*c - 373*c - 10 = 0. Let u(d) = -1. Let t(z) = -34*z + 68. Give c*t(k) - 68*u(k).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/f**(3\/8)*(f**(-9\/2)*f)\/f**(6\/7))**(-50) assuming f is positive.\nAnswer: f**(7465\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 0.21. Suppose -7 = 2*l - n, 3*l - n = -4*n + 3. Let o be (0 - l\/(-25))*10. Which is the nearest to -1\/4? (a) o (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1 - 2*9. Let z = -10 - a. Suppose -r - w = w - 6, 0 = r + 4*w - z. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.728 + 0.072. Let o = 0.017 - -21.983. Let v = u - o. What is v rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e1e + 3?\nAnswer: -4e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3439 + 6874 - 3435 - 607*j**2.\nAnswer: -607*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.510326 years?\nAnswer: 66.123912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 494, 741?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/1329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 12 = c, 197*c - 24 = 201*c + 5*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -63*s + 5. What is r(-1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 at least -46328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, q: 2, s: 2, b: 3, x: 1, h: 1}. What is prob of sequence bsxq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 2*h. Let z be (h\/(-3))\/(6\/(-54)). Let u be z\/((-2)\/(10\/3)). Solve -3*s = -u*d - 4 - 6, -4*s - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*z**2 - 74*z**2 + 36*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 2, m: 1, z: 1}. What is prob of sequence gmtg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -821436 by -66.\nAnswer: 12446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 3*j - 3. Let s be r(4). Let k(u) = -27*u + 2. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 8. Suppose 5 = n - 0*n. Let s = n - 3. Suppose -s*b - 5 = -b. Calculate v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:30 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1633 = t, -62*s + 60*s - 3*t + 1661 = 0. Calculate the smallest common multiple of 1 and s.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8164.777ml in litres?\nAnswer: 8.164777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1442 - 1430. What is the smallest common multiple of 3656 and j?\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291330 divided by 5?\nAnswer: 258266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*c - 144 - 24 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3764*h - 89. Let w(x) = -3*x + 8. Give -2*m(d) - 22*w(d).\nAnswer: -7462*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 1, r: 1, s: 1, e: 2}. What is prob of sequence esv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1462 + -1459. Solve -5*r + 7*r + 2*j = -4, 4*j + 11 = -z*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-3 + (2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hiie when four letters picked without replacement from {n: 1, l: 2, h: 1, i: 2, e: 4, j: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 10*a**2 + 2*a - 3. Give u(7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23782753.\nAnswer: 23782753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69 - 1ad8c?\nAnswer: -1b017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 - 10787 = -102*m for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*j + 86*j - 5 + 48*j - 298*j + 8*j**3 + 83*j.\nAnswer: 8*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let a be i(3). Suppose 2*u + u - a = 0. Let h = -12.41 - -8.41. Are u and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575.804 kilograms to micrograms.\nAnswer: 575804000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/59))**1)**(3\/4))**(-39) assuming q is positive.\nAnswer: q**(117\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 27*f - 31. Let l be v(3). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcr when three letters picked without replacement from ccnrqreonnc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 17*y + 14. Suppose -2*j + 5*t + 19 = 0, 3*j + j - 2*t - 62 = 0. What is the remainder when 53 is divided by p(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, p: 3, u: 4, f: 1}. What is prob of sequence uf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 118320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:21 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7995, 7683, 7371, 7059, 6747, 6435?\nAnswer: 6123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1447 + 829 - 736 + 2298 - 2*a.\nAnswer: -2*a + 3838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 3*a**2 + 12*a + 7. Calculate z(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -2\/7, 9 in increasing order.\nAnswer: -23, -2\/7, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2397 divided by -19\nAnswer: 2397\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-17)\/3 - -4). Find c such that -1\/5*c**2 + 2\/5*c - l*c**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/3316 and -113\/834636.\nAnswer: 691913244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18064200 divided by 1012?\nAnswer: -17850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from yaaaaaaaaaya?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 41 - 2. Let l be (1\/u)\/(8\/24). Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*a = 105, -3*h - 2*a - 748 = -912. Let c(b) = -b**3 - 9*b**2 + 9*b + 2. What is the remainder when h is divided by c(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 - 3*f**2 + 3*f - 3*f. Suppose 2*w + 28 = -36. Let d = w - -31. Calculate m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/((-2)\/(-15)). Suppose -3*a - r + u*r + 4 = 0, 0 = -a - 5*r + 8. Find the second derivative of -12*c + 19*c + 2*c**3 + 2*c**a wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1, -0.16, 2 in decreasing order.\nAnswer: 2, 3\/5, -0.16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3*b = -66. Which is smaller: b or -21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -218702d?\nAnswer: 2187032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27621 >= 27622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405504 divided by -3.\nAnswer: 135168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 2) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 157. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 6, w: 2, c: 1, t: 3, q: 1}. Give prob of picking 1 t, 1 c, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 22588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 947934.4 millilitres?\nAnswer: 947.9344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 665407\/3 - 221803. Let o = 3 - 17. Put t, 0.3, o in decreasing order.\nAnswer: 0.3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -5334425?\nAnswer: -5334352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -39*t**2 + t + 2. Calculate u(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeedzpz. Give prob of picking 1 p, 2 z, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*c + 2945*c - 219508 + 41252 = -252*c for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4176 - 1.4176. Let h = 4 - 4.3. Let t = 0.9 + 0. What is the nearest to t in k, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let h be 48\/88*(-3)\/(-9) + 8\/(-22). Which is the closest to -2\/7? (a) h (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 0.02, 2\/9, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v. Suppose 5*d - 77 = 3*r, 2*d - 6 = -3*r + 8. Solve -2*s - d = -5*x, -s + v*s - 3 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.85309 centimeters in nanometers?\nAnswer: 388530900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.124 and -0.2.\nAnswer: -0.2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z + 1. Let h be l(3). Let c be 4\/(-14) - h\/(-7). Suppose -m - b = 0, 0 = m - 0*m - c*b. Solve 12 + m = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*d + 64, 8*d - 5*d = -v + 23. Calculate the smallest common multiple of 82 and v.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 5. Let z be (2 + 24)\/(5\/y). Let i = z + -21. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/((t\/(((t*t**(2\/13)*t)\/t)\/t)*t)\/t)))\/(t**1\/t))\/(t**(1\/15))**(-1\/48) assuming t is positive.\nAnswer: t**(17293\/9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) 2\/9 (d) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944 divided by 4.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 12:09 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/60 and -25\/7134.\nAnswer: 71340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2792 + 0.2792. What is the nearest to q in 1\/6, 7\/12, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692334, 692338, 692352, 692382, 692434, 692514, 692628, 692782?\nAnswer: 692982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 54 - 54 - 5*a)*(-355*a + 140*a**2 + 355*a) to o*a**4 + d*a + y*a**2 + j*a**3 + i and give j.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54765.\nAnswer: 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26146653 plus 3140402?\nAnswer: -23006251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1787662.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(-n + 0*n + 0*n)*(-1073*n**2 + 1714*n - 1714*n).\nAnswer: -1073*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*q + 10, 0*q + 28 = 3*b + q. Suppose 2 - b = -m. What is the greatest common factor of m and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x + 25 = -6*p - 15, -4*x = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565369716 by 188456572.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*n - 2*n - 2*n)*(-76*n + 23*n - 44*n).\nAnswer: 776*n**2 + 291*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89908901, 179817806, 269726711?\n\"Answer: 89908905*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:04 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m + 98. Let s be f(13). Suppose 151 = 4*w - 6*q + q, 2*q + 193 = 5*w. Let t = s + w. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 688*m**2 - 10*m + 11. Let l be u(1). Let t = l - 665. Calculate the lowest common multiple of t and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 473?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.3207m in nanometers?\nAnswer: 968320700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/192*(314\/60 - 150\/180)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1316352139 + -2382137283. Let n = 3698489339.99999868 + z. Let v = n - -82. What is v rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o + 9. Let u(f) = 3*f - 2. Let w be (81\/(-72)*-4)\/(2\/(-8)). Let i(r) = w*u(r) - 4*b(r). Let a(l) = -19*l. Give a(i(j)).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 12, b: 3}. Give prob of picking 1 b and 1 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 + 2248*u**4 + 3523*u**3 + 260306*u**2 + 188 wrt u?\nAnswer: -120*u**2 + 53952*u + 21138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(16\/5)\/(y*y*y**1*y)**(14\/3)*((y**5*y)\/y)\/y**(1\/3)*(y**(-1\/2))**(7\/3) assuming y is positive.\nAnswer: y**(-2083\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14158232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88d + 5?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + sqrt(297)*2)*-2)\/(3*(sqrt(176) - sqrt(11))*4).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36596443.49 rounded to the nearest one thousand?\nAnswer: 36596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01761082 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*1*-87. Let x = -34 + 51. Let f = r - x. Calculate the greatest common factor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2*u - 2, -5*u = -2*o - 10 - 4. Suppose 4*y + v = 7*y - 6, 3*y + 5*v + 12 = 0. Solve 3*l - 4 = -t + o, -y = 3*l - t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 42, 3 in ascending order.\nAnswer: 2\/3, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h - h = -1104 - 192 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717974623 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501227 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3592234 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvhh when four letters picked without replacement from {h: 7, v: 2, z: 3}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) 21 (c) -0.3 (d) -6 (e) 2 (f) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2645*t + 18526. Determine y(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -749 at least as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:53 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = -0*k + 2*k, 4*k - 61 = -3*h. Let o be (-1*(-48 + 2))\/((-5)\/(-10)). What is the greatest common divisor of h and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*j**2 - 8884*j - 432*j**2 + 858*j**2 + 8884*j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.011982 + -14079470.\nAnswer: -14079470.011982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2494.764*2\nAnswer: 4989.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(12)\/sqrt(54) + -5)**2.\nAnswer: -20*sqrt(2)\/3 + 902\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (6 - 4) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930 + 930 + 8*j**2 - 236*j**2.\nAnswer: -228*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 4:59 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b**2 + 5*b + 12. Let y(j) = 22*j**2 + 4*j + 13. Let x(w) = -7*m(w) + 6*y(w). What is x(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -32*n**2 - 71*n + 1. Give w(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27134770 rounded to the nearest one hundred thousand?\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -665\/2 - -335. Which is the closest to 0.03? (a) 0.1 (b) p (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 1\/12*o**4 - o - o**2 + 0 - 5\/6*o**3. Let n be v(5). Let a(h) = -h**2 - 2*h. Calculate a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**2. Let x(c) = 356*c - 6. Determine x(l(r)).\nAnswer: 5696*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - (6 + 13 + -2 - 8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 26 - 134. Let j = s + 66. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -34, 4.\nAnswer: -34, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -19*b**2 + 3\/2*b**3 + 0 + 1\/24*b**4 + 0*b. Let a be d(-10). Is -20\/13 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from upvjbkujpbuk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3970*z**3 - 3*z**2 + 3*z. Let f be n(1). What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199023 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207\/2 + 104. Which is the second biggest value? (a) 1 (b) 0.3 (c) -3\/2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 - (-4 - 2). Suppose 3*n + 210 = -q*n. Is -29 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = 16. Let h(s) = -s**2 - 2*s - 6. Let y be h(r). What are the prime factors of (-1242)\/y - (-10)\/35?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12822*g + 6493*g = -6511*g + 182 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f**3 + 403 - 403 - 37*f**3.\nAnswer: -110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -80733 (base 10) to base 6\nAnswer: -1421433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:59 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3\/3 - 3*y**2 - 6*y. Let k be w(-4). Suppose 3*r = 2*i - 11, -2*i + 3*r + 9 = k*r. Solve 0 = -i*j - j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkhkwhhwmmwwhm. What is prob of picking 2 w and 1 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 3*t, -3*o = 2*t - 5. Let z be 20*o\/(25\/(-2)). Which is the third smallest value? (a) -4 (b) 2 (c) z (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320 - 322 - 33*l**2 + 35*l**3 + 645 wrt l?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*x = 336 - 361, p + 0*p + 4*x = 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.757853 minutes in hours?\nAnswer: 0.37929755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33388.\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.36? (a) 0.41 (b) -0.1 (c) 4 (d) 2\/9 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 + 2010?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) -4 (c) 5 (d) -1.13 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/9))**18\/((i**4*i)\/(i**5*i*i*i)) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 3*p**2 - 2*p**2 + (-3*p + p + 3*p)*(0*p + 2*p - p) + 0 + p**2 + 0 + (1 - p - 1)*(-2*p - 5 + 5) + 2*p - 2*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 3, g: 2, t: 1, x: 2, p: 4}. Give prob of sequence tp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 8 - 3*g**3 + 7*g**3 + 7.\nAnswer: 4*g**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 24*u**2. Let n(j) = -2*j + 3. What is n(p(r))?\nAnswer: -48*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 265. Let n = o + -14. Suppose -4*s + 50 = k, 4*s - 115 = 3*k - 41. Calculate the remainder when n is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -212 or -213?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**8\/105 - v**6\/72 + v**3\/2 - 6*v. Let r(i) be the second derivative of s(i). What is the third derivative of r(b) wrt b?\nAnswer: -384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16 - (-26)\/6) + 11. What is the nearest to g in 3, 1\/9, 2\/11, 33?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 + 167. Sort z, 0.2, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -1110, -1109, -1108?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 960881164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 18*o**2 - 3*o + 4. Determine m(18).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/6*3\/(-2). Suppose a = -0*k - k. Is (-5)\/(40\/1004)*k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = u - 1971, 5*u - 3*g = 9851. What is the common denominator of 69\/22 and 1\/24*u\/55?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -218394\/38899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34451 - 1929325\/56. What is the common denominator of z and (6\/80)\/((-72)\/375)?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1663191*s**4*w**2 + 15*s**2*w**3 - 28*s*w**3 + 8405*s*w + 28*s wrt s.\nAnswer: -19958292*s**2*w**2 + 30*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25386*x = 25606*x + 1540 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 672?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from saesassssassssses.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.1, 23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by 1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -2\/5, 5, -3, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 0.1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1371836, -1371832, -1371828, -1371824, -1371820, -1371816?\n\"Answer: 4*y - 1371840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v + 5633 - 161 = -72*v for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/4)\/((-1)\/5). Let i be 10 - (40\/u - 4). Does 12 divide (-46)\/i*3\/2*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + 0*q - 3*q + (-3*q + 2 - 2)*(-2 + 2 + 4) + 3*q + 2*q - 6*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241556425 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/25 and 49\/155.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - 27?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 11*m**2 + 11*m - 7. Let f = 47 + -37. Let w be c(f). Suppose 0 = -149*h + 162*h. Solve w*q = q - 5*j + 16, -3*q - 4*j + 10 = h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w - w + (-2 - 2 + 7)*(4*w + w - 7*w))*(3*w + 0 + 0).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 60, 109, 168, 237, 316?\n\"Answer: 5*n**2 + 24*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - p**4 + p**4 + (p**2 - p**2 + 2*p**3)*(0*p**2 + 3*p**2 - 2*p**2) - 2*p**4 - p**5 + 2*p**4 + 3*p**5 + 4*p - 4*p.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2917 + 182*r**3 + 3662 - 3427 - 605*r**3 - 307*r**3 wrt r?\nAnswer: -2190*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4711, -9348, -13985, -18622, -23259, -27896?\nAnswer: -32533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 8, -2 in descending order.\nAnswer: 9, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 86 = -4*p + 2*l, 3*l - 14 = -p. Suppose 5*s - p = 65. Suppose 2*r - 129 = -k, 5*k = -91 + 76. What is the remainder when r is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290465 and 9?\nAnswer: 2614185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let m = 0 - q. Let c be ((-12)\/(-36))\/((-6)\/9 + 1). Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 506110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/9)\/i)*i)**(-34\/5) assuming i is positive.\nAnswer: i**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let w = -0.1 - h. Suppose 18 = 4*d + 5*i, -3*d + 7*d - 4*i = 0. Which is the closest to w? (a) -1 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 3, -43 in descending order.\nAnswer: 4, 3, 1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 63 - 18. Suppose x + 2*t = 3*t + 9, 0 = 3*x - 2*t - d. Solve 4*u + 3*g = 2*g - x, 4*u = -2*g - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5 - 4 - 8*j + j + 4*j**2. Let m(p) = -2*p**2 + 4*p - 1. Suppose -4 - 7 = -3*f + 5*a, 3*f + 2*a = -17. What is f*n(r) - 5*m(r)?\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*24\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -2644.\nAnswer: 103\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 8*n - 1708. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467797 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*g**2 + 3*g**3 + 10 - 119 + 5*g**3 + 15*g**3 - 14*g**3 wrt g.\nAnswer: 27*g**2 + 52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.06, -0.5, 827, -4, -0.2 in increasing order.\nAnswer: -4, -3, -0.5, -0.2, -0.06, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u + 84*u**2 - 121*u**2 + 0 + 141*u**2 + 0 in the form b*u + d + t*u**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbblblbbblblb. Give prob of sequence lllb.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 2*s + 3. Let n be t(-2). Suppose -3*y + 1 = -5*j + 8, 0 = -4*j + y + n. Suppose 0*r - j = 2*r, r = 2*v - 7. Solve v*o = -1 - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 13 = -5*g, 3*a + g - 7 = -0*g. What is the least common multiple of 18 and (-1)\/(a*(-3)\/108)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + 15. Suppose -g*l + 44*l = -122. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, u: 2, i: 2}. What is prob of picking 1 i and 1 k?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.32*0.9473\nAnswer: 2.197736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1652*(-125)\/(-60375) + 4\/46.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 54 + -20 + 27 - (-11 - -7 - -9)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/28 and -93\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:21 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(40\/(-340))*(-2)\/2. Solve -2*c = -7*c + m + k, 7 = 5*c + 4*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728766343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15225\/245 - 4*((-1074)\/(-84) - 13)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129285\/(-8415) + (-36)\/22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -21. Let y be 1\/(x\/(-34) + 2\/(-4)). Sort -4, 24, -3, y in ascending order.\nAnswer: -4, -3, y, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4 = -11. Put 38, 0, t in decreasing order.\nAnswer: 38, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57900 divided by 6.\nAnswer: -9650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 - 1)*(k - k - k)*(0 - 1 + 3) to p + d*k and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let u be (3\/3 - 0) + 4. Let d = u - 9. Let r be (-1)\/d - (-42)\/(-8). What is y(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 + 286*i + 42. What is the thousands digit of l(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63573 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/8 + 13806*n + 7345890.\nAnswer: 3*(n + 540)*(n + 36276)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159719 or 159844?\nAnswer: 159844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d*d*d**(5\/3)\/d))\/d)\/d)\/d)\/d)\/d**(-31)*d*d\/(d\/d**(-2\/39))*d\/(d**(-2\/25)\/d) assuming d is positive.\nAnswer: d**(27653\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(40)\/sqrt(8) + sqrt(5))*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**2 - 4*n**2 - 14*n**2 as i*n**2 + o + g*n and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304836.\nAnswer: 2, 233, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 0 - 8\/11*l**3 + 10\/11*l**2 + 0*l - 2\/11*l**4 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2233837 to the nearest one thousand.\nAnswer: -2234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7564730 + 0?\nAnswer: -7564730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:02 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-12 + 11 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1468 divided by -90588\nAnswer: 367\/22647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**3 - 1\/15*o**5 - 6*o**2 + 0*o + 0*o**4 + 2. Let c(q) = q**2. Give p(c(s)).\nAnswer: -4*s**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.0653 (c) -0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14266924?\nAnswer: 2, 7, 61, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/3 (b) 0.07 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5272 - -105?\nAnswer: -5165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -73587 divided by 3873\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 13*p**5\/60 + 2*p**2 - 43*p. Let f(y) = 2*y. Calculate f(n(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from rrrrrrrrrrarrrrraara?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41004*r**3 + 174*r**2 + 15081790*r.\nAnswer: -246024*r + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-6)\/(-9)) + (-3 - -1). Put 0.5, 3, 0, k in ascending order.\nAnswer: k, 0, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*z**4 + 336*z**3 - 951*z**2 + 366*z + 240 = 0. What is z?\nAnswer: -40, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.23597 + 0.06403. What is the closest to b in 0.2, -3\/2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 14 (b) 1\/3 (c) 16 (d) -4\/5 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 4*i)*(0*i**2 + 3*i**2 - 4*i**2) + i**3 + i**3 - 3*i**3 - 312*i + 2*i**2 + 7 + 717*i - 406*i - 25*i**3.\nAnswer: -28*i**3 + 2*i**2 - i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(12\/21)*3*(-168)\/18.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7170511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*11\/(-11).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 20*q**2 + 11*q - 26. Let k(x) = -7*x**2 - 4*x + 9. Give -6*g(y) - 17*k(y).\nAnswer: -y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 30\/4)*(-1 - 1). Suppose -8*n + 3*n = 2*o - 1574, 2*n + j*o = 623. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i - 15. Let y(t) = 17*t - 6. Let p(r) = -2*x(r) + 5*y(r). Let j(k) = k**2 - 6. Let v(o) = o**2 - 5. Let f(n) = 5*j(n) - 6*v(n). Give f(p(h)).\nAnswer: -289*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 6:34 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 430276, 430267, 430258?\n\"Answer: -9*f + 430285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 30 = 3*f - f, 2*f - 23 = -3*y. Let i(t) = t**3 - 12*t**2 - 14*t + 31. Let n be i(f). Solve u + 0 + 6 = d, 0 = d + 5*u + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 6*l + 6. Let d be k(2). What is d rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 13 + 75 - r - 50 + 4*r.\nAnswer: 3*r + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1.4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -116\/27, 1287, -2\/7 in descending order.\nAnswer: 1287, -2\/7, -116\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54388 is divided by 2266.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 + 2*q + 3. Let a be r(-2). Suppose 0 = a*z + 23 - 62. Let n = 23 - z. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16657 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3530, -7073, -10620, -14171?\nAnswer: -17726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75276 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7029 and 75204?\nAnswer: 58734324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:07 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 1143, 2512, 4439, 6930?\nAnswer: 9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16) - 708\/480.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 + 7 = 0. Suppose -4*r - 4 = 4*z - 8, -z = 5*r + 3. Let w(t) = m*t**2 - 3*t - 2*t**z + 9*t + 1. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 3324*y + 46682. Determine w(-14).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8399891+0.1\nAnswer: 8399891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(76)*2 + sqrt(76) + sqrt(76))*2.\nAnswer: -2 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39964066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.802 - -4.802. What is the closest to g in 3\/5, 0.9, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/195*1). What is the units digit of 86\/5 + 13\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {d: 9, n: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51 less than 141767015?\nAnswer: 141767015.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -g + 3, -2*b - 10*g = -9*g - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -165966320 divided by 520\nAnswer: -319166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 199564 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 < 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 40, 0, 38, -20, -12 in descending order.\nAnswer: 40, 38, 0, -1, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c77b6 (base 13) in base 6?\nAnswer: -1114210243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/963 in -534, -1\/22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.15 + -0.15. Let n be ((-2)\/3 - 5\/(-5))*-3. Which is the third biggest value? (a) -5 (b) n (c) k (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 1215?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 - 123*l + 17. Let s(v) = -5*v**2 - 62*v + 10. Determine -4*r(h) + 7*s(h).\nAnswer: h**2 + 58*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3971, -1, 5 in decreasing order.\nAnswer: 3971, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 90. Let z be t(-85). Solve 19*i - z = 18*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + -19)*-2 + 0. Let t = 42 - f. Let n(v) = v**3 + 3*v**2 - 6*v - 1. What is n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.92 - -4.92. What is the second smallest value in c, 2\/53, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398836?\nAnswer: 2, 3, 11, 17, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/1*26*294\/12740.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121 and -0.0253364.\nAnswer: 120.9746636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100\/36 - 5\/((-135)\/6). Sort k, -2, 0 in increasing order.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/21)\/((-2)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 5*g. Let c(o) = -125*o**2 - 7*o + 6. Let x(j) = -21*j**2 - j + 1. Let u(n) = -c(n) + 6*x(n). What is -5*u(m) + y(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 363168*q. Let g(h) = -3141*h. Calculate m(g(r)).\nAnswer: -1140710688*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o + 69*o + 430*o = -25795 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8) - 5\/(-20). Let k be 1 + o + (2 - 2). Solve 0 = -k*w - 11 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 44, -52, -238, -544, -1000, -1636?\nAnswer: -2482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2678 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*(-2 - (0 - 8)). Suppose 3*p - 6*p = 4*o - 193, 0 = -d*p - 3. Let x = o + 166. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d + s - 0, 8 = -5*d + 2*s. What is the tens digit of (-10 - -14)*(63 - (d + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76048.82ng to milligrams.\nAnswer: 0.07604882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336910 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9*(-11 - -10))\/(-1 - 0). Let v be 1 - (1 + 0) - (-3)\/f. Which is the nearest to 62? (a) v (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -36. Suppose -4*n + 292 = -r. Let c = n - 19. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6836539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12659720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214168\/38547 + 2\/4283. Find the common denominator of c and -16\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*s**2*v**2*x**2 - 33*s**2*v**2 - 3388*s**2 - s*x**2 - v*x**2 wrt v?\nAnswer: -200*s**2*x**2 - 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1072 - 981. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 b, and 1 w when four letters picked without replacement from wzbbwxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*z + 109, 75 = -4*z + 71. What is the remainder when 1467 is divided by g?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484229622?\nAnswer: 2, 3, 43, 1876859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11cb (base 14) to base 3\nAnswer: 11021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:21 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701188292.\nAnswer: 2, 7, 281, 89119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -25, 8, -6 in descending order.\nAnswer: 8, -4, -6, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-126)*(-8008)\/(-2860)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 24 + -45 + 27 - (-1 + 24).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 15) in base 9?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**5\/60 + 5*m**3\/3 - 5*m**2\/2 + 54. Let g(h) be the third derivative of d(h). Let j(t) = -6*t**2 + 8*t. Determine j(g(x)).\nAnswer: -24*x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 28*t**2 - 7*t - 33. Calculate v(-8).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 4*l - 48 = 0, 0 = 4*h + l - 48. Suppose 0 = -26*g + 41*g - 26955. Is h\/42 + 0 + g\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5679000 divided by -40.\nAnswer: -141975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 3.3.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 21. Calculate v(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 56\/24*536\/469\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 3:10 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t - 19 - 14 - 15315*t**2 + 15316*t**2 + 26. Suppose -n + 0 = -5. What is u(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1563\/1244 - 2\/311. What is the nearest to -2 in -2, y, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 822498.7 years?\nAnswer: 82249.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3392720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 124*r = -140*r - 2136 - 3722 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 2, f: 1}. Give prob of picking 1 n, 1 w, and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006385 to four decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/27*(-3)\/188)\/(-70*11\/(-1320))\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + sqrt(36)\/(sqrt(3) - sqrt(480)\/sqrt(10)) + 4.\nAnswer: -2*sqrt(3)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2904290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.753? (a) 1 (b) -2\/9 (c) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 38*d = 5764. What is the remainder when d is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 - (-4)\/(-4))*(-35)\/(-22) and -4\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**32\/v**(1\/33))\/((v\/v**(-4))\/(v**(-5)\/v)) assuming v is positive.\nAnswer: v**(692\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2 - 20. Let g(i) be the third derivative of 31*i**5\/60 - 20*i**2. Give g(k(o)).\nAnswer: 124*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (79\/(-7) - 134\/(-469)) + -2. Let z = 24 + -19. Suppose -z*m = -2*m + 33. Which is bigger: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 49 = 0, 0*m = 5*m - 0*m + 2*c - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 8. Suppose -v*u = -u - 36. Solve u*c - 3 = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + 6*(-4 + sqrt(175) + 0 + -5)*2)*-2)**2.\nAnswer: -53760*sqrt(7) + 150976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**5\/8 - 3*k**4\/2 - 3*k**3\/2 + 3*k**2\/4 + 15*k\/8 + 3\/4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -21 (b) 0.3 (c) 1\/8 (d) -0.8 (e) -1082 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/6 (b) 1\/9 (c) 0.23 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 13*w**2 - 16*w - 28. Let b be i(-14). Suppose b = 82*k - 83*k + 66. Suppose 0*r + 330 = 2*r. What is the highest common divisor of r and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 16*j**3\/3 - 21*j**2 + j + 41. Calculate the remainder when 195 is divided by y(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 + -5 + (10 - (-10 + 7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -8. Let w be (-1)\/(-4) - 5\/4. Let j be (((-16)\/4)\/4)\/w. Which is the nearest to -2\/5? (a) s (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138243893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 302421 (base 5) to base 6\nAnswer: 113024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + r - 21, 1026*j = 1027*j + 2*r - 2 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 5*g - 2*g)*(12 - 4 + 0) - 5*g + 1 - 3*g - g.\nAnswer: -25*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 125 = 3*t - 84. Solve 0 = -3*d - 5*b + t, 4 + 3 = -d + 5*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/5 + (0 - 2300977339\/91695780). Let k = -209635\/9693 - p. Let c = k + 1\/1892. Calculate the common denominator of c and 55\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 5, -2069, -5.6.\nAnswer: -2069, -5.6, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(15\/8)*l*l**28)\/(l**(-3\/7)\/l)**14)**43 assuming l is positive.\nAnswer: l**(17501\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p. Suppose p = 4*x - u + 4*u - 14, -2*x = 2*u - 6. Let s(m) = -m**2 + 7*m - 9. Let w be s(x). Solve 2*r - w = 3*t - 0*r, 5*t + 19 = -r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187050052 divided by -2.\nAnswer: 93525026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 4 - 4) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 2671730?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-756)\/(-98) + (-2)\/(-7). Sort -4, n, 1, 4, -2.\nAnswer: -4, -2, 1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23265156 to the power of 1\/2, to the nearest integer?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-9) - (-4)\/(-6). Let r be (-7 + 5)\/(1 - o). Let m = 5821\/17457 + -2\/17457. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986614 is divided by 2604?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 5) - (-126 - -113).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 8 = -2*t - 112, -12 = r - 2*t. Let c = r + 26. Solve -c*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7 - 37. Put -2, -4, d in increasing order.\nAnswer: d, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose -22*u - 12 = -26*u. Differentiate 8 + 0 - u - a*r**2 wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**2 + 3*g**3 + 141 + 55*g**2 - 19*g**2 - 18*g**2 - 3*g**2 to the form f*g**3 + d*g + x + m*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73854164?\nAnswer: 2, 61, 302681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 6*d + 7. Let w be s(-6). Let k = 741 - 517. Suppose 0 = 52*t - 56*t + k. Calculate the highest common divisor of w and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 6*g - 30. Let y(r) = r**2 - r + 2. Calculate the lowest common multiple of g\/(-45) - (-116)\/30 and y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 22. Let q = 26 + -11. What is the highest common divisor of d and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*z - 20, -4*z + 6 + 8 = -f. Let n(g) = g + 5. Let c be n(-3). Let j be 2\/(1 - 1\/c). Solve 0*q - 3*q = f*y + j, 2*y + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7003315 to the nearest integer?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Is 1\/2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**6 - 21*i**4 + 283919*i**3 + i**2 + 7784*i - 97 wrt i.\nAnswer: 120*i**3 - 504*i + 1703514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*r**2 + 365*r**2 - 65 + 32 + 31 to d*r + y*r**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(2*(sqrt(1900) - (2 + sqrt(1900) + sqrt(1900))) + -1 + sqrt(1900)*3))**2.\nAnswer: -4200*sqrt(19) + 69625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-18)\/(-63). Suppose -k + j = 3. Which is the closest to -5? (a) k (b) -4\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, -4676, -122 in ascending order.\nAnswer: -4676, -122, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 151. Let o be q(-4). Calculate the greatest common divisor of 65 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4)\/y)\/y**(1\/15)*(y\/((((y\/(y\/y**(1\/14)))\/y)\/y)\/y))**(-34) assuming y is positive.\nAnswer: y**(-56863\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 25 = 0, 2*u + 1 = -3*a - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 95814011 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1210, -2524, -4020, -5698, -7558, -9600?\nAnswer: -11824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2\/2 - 10023183*t\/2 - 20046390 = 0.\nAnswer: -4, 3341065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.87084 + -0.57084. Let g = -0.3 - 0.6. Let m = g + -3.1. Sort m, -1, w in descending order.\nAnswer: w, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 - -0.18. Let r = -0.07 + z. Let v = -0.45 + r. Which is the closest to v? (a) 4 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*p = -18*p - 1270 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22321805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(-v + 4*v - v)*(-837*v**4 + 88*v**4 - 546*v**4).\nAnswer: 7770*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 11, -0.1, -3\/4, -1\/2 in descending order.\nAnswer: 11, -0.1, -1\/2, -3\/4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d796 (base 16) in base 10?\nAnswer: 1169302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -59, -109, -167, -233, -307?\n\"Answer: -4*d**2 - 30*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 40 = q. Suppose 0 = -2*n + n + 7. Suppose 83*i = 234*i + 99*i - 500. Solve 0 = -i*s + n*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 + 3. Let j = s - -2. Let i be (-4)\/(-10) - 4\/5. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeuu when four letters picked without replacement from eesesussasuua?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 507*v - 2. Let g be -5*(-6)\/15 + -1. Let k be o(g). Suppose 11 = 4*p - 1, 4*u - p - k = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:08 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(1200)*3))**2.\nAnswer: 19\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5872 + -85265\/710512. Calculate the common denominator of o and -37\/88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03208 take away 70888?\nAnswer: -70888.03208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -7*z**4\/4 - 7*z**3 - 2*z**2 + z - 353. Let h be f(-3). Solve 6*s - h = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 714 (base 8) to base 7\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 10 - 6 - (-20 - -37).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g + 16. Let c = g - -4. Is -2\/15 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 minus 6973.0651983538?\nAnswer: -6973.9651983538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 35, 31, 21, 5?\n\"Answer: -3*f**2 + 11*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*g**2 - 2 - 93*g**2 - 123*g**2 + 1.\nAnswer: 24*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.9 - 92.9. What is the nearest to 0 in 3, h, -0.1, 13\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let n(q) = -3590*q**2. What is n(b(f))?\nAnswer: -14360*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107166274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2756469 is divided by 344.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 i when three letters picked without replacement from yyyiyiyiiiliyyiiiiyi?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 5.7. Let o be ((-9)\/(-12))\/(1 + 78\/48). Sort b, o, 4\/15 in descending order.\nAnswer: o, 4\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/77 + (-13607)\/(-7). What is the highest common factor of k and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 297\/1140 + (-105)\/20 + 5. Let x be 49\/(-14)*(-82)\/(-190). Let s = y + x. What is the second smallest value in s, -0.1, 0.2, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let j(i) = 33*i - 143*i + 2 + 37*i + 36*i + 36*i. Calculate j(x(y)).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6704525 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*s**3 - 83*s**3 + s**5 + 2*s**5 + (0*s + 0*s - s**4)*(s - 3*s - s) - 3*s + 3*s - s**5.\nAnswer: 5*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013511 (base 9) in base 6?\nAnswer: -15330444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**24)**11 assuming g is positive.\nAnswer: g**(-528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -114 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11043008479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13149 (base 16) to base 6.\nAnswer: 1401453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29300, 29289, 29278, 29267, 29256, 29245?\nAnswer: 29234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7529497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.31859g in nanograms?\nAnswer: 68318590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -577 + 587. What is the smallest common multiple of a and 51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 4. Let x be n(3). Solve -x*g + 8 = m - 3*g, -14 = -4*m + 2*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22571 is divided by 2049?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2cbc8 - 91?\nAnswer: -2cc89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/61 + 107\/915. Let d = -2 + -3. What is the fourth biggest value in 2\/19, d, k, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 105*l**3 + 6*l**2 - 180*l**3 - 13*l**2 + 287*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*a - 12, 0*a + 4*a - 14 = -k. Suppose -t - 7 = t - a*o, -10 = 5*t - 5*o. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {v: 2, k: 3, o: 2, a: 1, e: 9}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-4 - -4)) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/820 and -43\/400?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(sqrt(1584) + 0 + sqrt(1584) + 0) - ((sqrt(1584) + sqrt(1584) + 2)*1 - (6*(sqrt(1584) + sqrt(1584)*2))**2).\nAnswer: 513215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1422 - -1476. What is the greatest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - ((-1204)\/21)\/((-8)\/(-12)). Suppose s*g = 88*g - 18. Solve 3*m + 16 = g*n - n, 2*m = -5*n + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 3*f**5 + 2*f**5 + (-4*f**2 + 0*f**2 + 0*f**2)*(f**2 - f**2 - f**3) + f**2 - f**5 - f**2.\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 10\/((-40)\/(-36)). Let u = -4\/11 - -61\/77. Which is the second biggest value? (a) u (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 204082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)\/t*(t\/(t\/((t\/(t*t*t*t**(-2\/29)*t))\/t)))\/t)**(-1\/7) assuming t is positive.\nAnswer: t**(1320\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-23))\/(4 + 0). What is the closest to -0.1 in -0.5, 1\/5, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 170 - 172550\/(-1218).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281633273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-12)\/(-3) + 0. Suppose -2*h = -4*l + 131 - 31, 34 = n*l + 3*h. Let b = l + -2. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*o + 965 = 0, 3*q = -2*q - 3*o + 1204. List the prime factors of q.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/16)\/((-1)\/(-2)). Let r(u) be the second derivative of 2\/15*u**j + 1\/5*u**2 + 0 - 1\/10*u**4 + 2*u. Factor r(x).\nAnswer: -2*(x - 1)*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:28 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n - 13. Let w be b(3). Suppose 0 = -5*f + 2*o - 6*o - 87, 0 = -5*f + 5*o - 60. Let t = f + w. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*i**3 - 23285*f**2 + 12*f*i**3 + 9*f*i**2 + 135862*i**3 + 1 wrt i.\nAnswer: 6*f**2 + 72*f + 815172","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -25*l + 15. Suppose 5*o = -l*t + 37, 4*t - 5*t + 29 = 5*o. What is the remainder when 22\/4 - (-2)\/4 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.335 - 13.335. Which is the nearest to 0.13? (a) t (b) -46 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100101101010010?\nAnswer: 100101101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -527 + 604. Let k = 81 - v. Put k, 0.4, 0, -4 in increasing order.\nAnswer: -4, 0, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**3 + 6*o + 4*o**3 - 3 - 1 - 2*o**2 - 5*o as d*o**2 + y*o + j*o**3 + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87638 (base 13) in base 4?\nAnswer: 323303000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 - -309. Suppose 177*t + 21763 = i*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 10. Let y be q(-7). Suppose -5*i = 3*d + y, -d + 4*i - 22 = d. What is the common denominator of -5\/21 and d\/(28\/8) - 172\/24?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -58. Let h = -15 + o. Let c(m) = m**2 - 7*m + 8. Let u be c(6). Solve -3*k = u*l + 22, l = 5*k + h + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 104*k**2 - 2050*k + 41. Calculate u(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let z be -5 - (-1 - 0)*n. Let s(m) = -7*m - 7. Suppose -84 = -2*i - 128. Let q(j) = 2*j + 2. Determine i*q(x) + z*s(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.4993 rounded to 0 decimal places?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 55. Let k(d) = 3 + 2*d - d**2 + 7*d + 2. What is the units digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-42) + -1 + 208\/(-6). Let u be (-1)\/7 - 285\/z. Suppose u*w = 357 + 347. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 + 6*q + 4. Let o be i(-5). Suppose -3*t = 831*z - 837*z + 5340, 0 = -5*t - 20. What is the highest common divisor of o and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/10))**(5\/12) assuming b is positive.\nAnswer: b**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 10) in base 14?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2133772.16+30\nAnswer: 2133802.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y + y + (-22 + 111 + 98)*(-1 - 2*y + 1) + 2*y - 3*y - y.\nAnswer: -374*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/16)\/(3 - 44\/16). Suppose -v*o + 34*o - 620 = 0. What is the greatest common factor of o and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16226 - 16225.7. What is the nearest to -1 in -3\/4, -0.5, j, 12\/25?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f - 46. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26392494*z**4 + 2*z**3 + 586988*z**2 - z wrt z.\nAnswer: 633419856*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. Suppose -a = -3, -r + 2*a - f = a. Find the second derivative of 0*d**2 + d + 3*d - 2*d**2 + 0*d**r wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.1 (b) 104\/17 (c) 3\/7 (d) 5 (e) 1\/8 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2580 divided by -215.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 124*k + 16943. Give q(-136).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12))\/(((-3)\/30)\/((-2)\/(-5)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o + 3. Let w be f(3). Suppose -5*q + 1 = -9. Find the second derivative of 0*u + u**3 + 0*u**w - 2*u + q*u**3 wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 219*y - 42. Determine p(73).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -98206551 to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 + 6*o**2 - 7*o + 2. Is b(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 67*z - 900. Determine b(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6216718 milligrams in kilograms?\nAnswer: 0.0000006216718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.1 (b) -2 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 926 divide 24436702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222122 - 200?\nAnswer: -2000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18080 divided by 3616.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 2 - c - 10*c**3 + 7*c**3 - 2*c**4 - c**3 as t*c**3 + n*c**2 + h*c + g*c**4 + s and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3224 is divided by 1290?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1782\/(-99) + 15 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*g**3 + 576*g**2 - 49*g**3 + 33*g**3 - 42*g**3 - 66*g**3 wrt g.\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsssvvsvssvsv. What is prob of picking 1 s and 3 v?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12790 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(196)*-3 + sqrt(3136)*-2)\/(-2*sqrt(63)*2))**2.\nAnswer: 847\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (39 - (-9 - -6 - -6 - -8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111011001 (base 2) to base 10.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/(-5) - -12)*18\/4?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/((-9)\/(-6) - 1). Let f = 32 + m. Let w be (-15)\/f - 0\/(-3). Which is the second smallest value? (a) w (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - g**4 + 1 + (-1 - 2 + 1)*(2*g**4 - 1 + 1) + 0*g**3 + 0*g**3 + g**4 + g**4 - 2*g + 2*g - 14*g**4 - 10*g + 10*g.\nAnswer: -17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:19 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -39*s + 747. Let z be f(19). Solve z*n + 13 - 25 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6)*(3*z**4 - 3*z**4 + 2*z**4 + (-1 - 2*z + 1)*(-z - 2*z**3 + z)) + 4*z**3 - 4*z**3 + z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2136963 + 3448932 = 257*h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - (-6)\/(-2 - -5). Let p be (-240)\/18 + 4\/j. Let m = p - -20. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9987*j**2*t**2 + 3*j**2*t - 74*j*t wrt t?\nAnswer: 19974*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 268914473*r. Let m(f) = -4*f. Calculate m(w(g)).\nAnswer: -1075657892*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 39*p + 119. Let o be x(7). Let w be ((-188)\/8)\/((-2)\/4). Is o != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*g**2 - 2*g**2 + 16*g**2 + (-4*g + 3*g + 0*g)*(g - g + 3*g) - 7*g**2 + 3*g - 3*g in the form o*g + m*g**2 + u and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 4*a, 0 = -3*y - 2*a + 18. Suppose -48*i + 38*i + 980 = 0. Suppose y*h - 642 = -i. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**4 - 9651442*y**3 - 403*y - 70609.\nAnswer: -36*y**2 - 57908652*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + (2 - (-3 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36 - 2 + 5*q**3 + 3*q**3 with respect to q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.677 * -149.\nAnswer: -398.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19957111 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let j(y) = 84*y**2 - y - 5. Let s(d) = -85*d**2 + 2*d + 7. Let c(n) = 4*j(n) + 3*s(n). Is 40 a factor of c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112439, 113326, 114791, 116822, 119407, 122534?\nAnswer: 126191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (17 - 15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:47 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*l = -24, -2*u + 4*l = -5*u + 28. Let m be 263*((4 - 2) + -1). Suppose 0 = -u*z - 23 + m. Calculate the greatest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6 - 10)*(k - 3*k - k).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5376 and 94719296.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)*w**6)\/(w**5)**(-1\/22) assuming w is positive.\nAnswer: w**(-259\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 2291*m + 197399. Calculate u(99).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455190 is divided by 13338?\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/3 - q**2\/2 - 9*q. Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 310*q + 8. Let b(m) = 103*m + 3. Determine -11*b(r) + 4*p(r).\nAnswer: 107*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6 - (4 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(19\/4))**(-18\/7)*(u**(-1\/3)\/u**4)\/(u**(-1)*u*u*u)**39 assuming u is positive.\nAnswer: u**(-3287\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 13*g**2 + g - 16 + 7*g - 6*g. What is the tens digit of m(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216\/7*y - 60\/7*y**3 - 2\/7*y**4 + 0 + 576\/7*y**2 = 0 for y.\nAnswer: -38, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49815\/(-1458) - (12\/4 - 34)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m*r**2 + m*r + 71*m - 2435*r**2 - r + 101 wrt r.\nAnswer: 8*m - 4870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:16 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(sqrt(187) - 5*sqrt(187)*5))\/((-1*sqrt(55)*-2)\/((sqrt(80)\/sqrt(2))\/sqrt(8))).\nAnswer: -240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236202 divided by -6?\nAnswer: -539367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, t: 1, w: 1}. What is prob of sequence eeew?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67593347 is divided by 3829.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 + 5*r**3\/3 + 7*r**2 + 14*r. Let l be w(11). Solve 0 = -l*t + 9 + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 133*r - 112*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.5754 centuries in years?\nAnswer: 47157.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 60 - 0. Suppose -m*h + 8*h - 15 = 0. Suppose 3*u = -h*j + 30, 3*u + 3*j - 19 = u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfzf when four letters picked without replacement from fkfzkkkfffzffkkfkkk.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.372172386 to 5 decimal places.\nAnswer: 0.37217","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 29083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24872, 51890, 78904, 105914, 132920, 159922, 186920?\n\"Answer: -2*m**2 + 27024*m - 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7*h - 7. Determine x(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2286 = 3*u + 2278 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*o**5 + 2*o**2 + 2 wrt o.\nAnswer: 8400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -11*w**7\/630 + w**6\/10 - 25*w**4\/24 - 154*w**2. Let q(i) be the second derivative of c(i). Find f, given that q(f) = 0.\nAnswer: 0, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - b - 44 = 0, 0 = -x + 3*x - b - 20. What is the highest common divisor of 120 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbx when three letters picked without replacement from rurummxbrurumpxmmmx?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - a + 3. Let y(w) = -37*w**2 - 6*w + 18. Let n(b) = 6*r(b) - y(b). Let i(m) = 57*m**2. Determine n(i(o)).\nAnswer: 61731*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 0*r + 7*r - 1)*(18 + 170 - 385).\nAnswer: -197*r + 197","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 12*r - 5. Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 o when three letters picked without replacement from {t: 3, r: 1, o: 1, z: 1, s: 2, p: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - -944)*(-427)\/(-122). What is the greatest common divisor of m and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47.64 - -51.64. What is the fourth smallest value in 2\/9, v, 3, -1, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -783*c - 18. Let l(n) = -43*n - 1. Let v(z) = -k(z) + 18*l(z). Let s(i) = 62*i. Give s(v(u)).\nAnswer: 558*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7264253480 to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*p + 22*p + 1921*p**3 - 65*p)*(3*p - 3*p + 2 - 2*p**2).\nAnswer: -3842*p**5 + 3842*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3 - 7*z**2 - 2*z. Let q(m) be the third derivative of -m**4\/12 - 5*m**3\/6 - 37*m**2. What is -14*q(c) + 5*y(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 5*i = 375 + 287, -3*d - i + 254 = 0 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o**4 - 5*o**3 - 13*o**2. Let i(k) = -29*k**4 - 8*k**3 - 20*k**2. Let v(u) = 5*i(u) - 8*p(u). What is the third derivative of v(g) wrt g?\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**3 + 4*h**3)*(-27*h + 14*h + 16*h) - 3*h**4 + 3*h + h**4 - 2*h.\nAnswer: 4*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9*a - 50 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 2\/7, 0.4, 0.09, -13, 444 in ascending order.\nAnswer: -13, 0.09, 2\/7, 0.4, 61, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23319781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*t + 399 = -86*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t - 47. Let q be h(-4). Suppose -f = q*v - v - 97, -3*v + 72 = f. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 9:05 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/8 + 245*w**3\/4 + 23691*w**2\/2 - 10145857*w + 1336411396.\nAnswer: -(w - 298)**3*(w + 404)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**2 - 1. Let v(w) = 2*w**2 - 29*w - 15. Let n be v(15). Let f(k) = k + 6. Let y be f(-6). Suppose -3*l + y*l - 3 = n. Determine h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:22 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 8*y**2 - 4*y - 2. What is the tens digit of s(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + 119\/5. Let h = 10 + -12. Let j be 15\/h*c\/(-9). Solve -5*l + 3*f = -5 - 6, 4*f = -2*l + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 99764 = 3*i + 27086, i - 72664 = -3*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2013794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:00 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - -44 - -9 - 54.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(6*(sqrt(10) + 1*sqrt(10))) - sqrt(190)\/(-5*sqrt(360)).\nAnswer: 7*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38096, 76204, 114312, 152420, 190528, 228636?\nAnswer: 266744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 1\/4, -181, 2\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 20. Suppose -2*z + 2*l - d*l = 3, -5*l + 9 = -2*z. Let u be (-3)\/z*4\/3. Solve -7 - 19 = -4*i + 5*j, 4*i + u*j = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3359 (b) -16\/81 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 609722 = -276697. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o**2 - 354*o + 58. Calculate x(23).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19, 0.5, 400, 2\/19, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/4*(22 + -24). Factor -1\/3*v**z + v**2 - 1\/3*v + 1\/3*v**3 - 2\/3.\nAnswer: -(v - 2)*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.9. Let b be (-17)\/(-33) + 3\/(-9). What is the nearest to x in b, 2\/9, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*q + q - 1181, -4*q - 1171 = -3*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:22 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -560.912 + 563. Let c = i + -2.08798703. Round c to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 799 divide 2366407752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*y - 14. Suppose -j + 3*j - y = 4*f, -3*f = -4*j + 93. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + t**2 - 460*t + 1 + 462*t.\nAnswer: (t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6) - (-1)\/(-2). Let t = r - -1. Calculate the remainder when 1 + -4*(-12)\/16 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 + 9*x - 2.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74 and 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 5:26 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33045915 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 460658 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*g - 140 - 32, -4*g + 344 = -r. Let f = 265\/3 - g. Which is the fourth biggest value? (a) f (b) -0.2 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 52 = -2*n. Let d(v) = v**3 - 10*v**2 + 10*v + 8. Let f be d(9). Suppose w - 82 + f = 0. Calculate the highest common divisor of w and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16880869 to the power of 1\/2, to the nearest integer?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 239. Suppose 3*v + 13 = -2. Put v, y, -231 in ascending order.\nAnswer: -231, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1680\/(-75) + (1 - 6\/10) + 0\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -58*s**2 + 0 + 0*s + 7\/8*s**4 + 1\/2*s**3. Find the first derivative of r(q) wrt q.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 1)*(0 + 3 - 2)*(-71*z - 24*z - 47*z) as f*z + c and give f.\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -230*v - 26. Let z be q(-3). Let l be z\/210 + (312\/56 - 5). Factor l*p + 16\/15 + 4*p**2 + 6\/5*p**3.\nAnswer: 2*(p + 2)*(3*p + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56899, -56902, -56909, -56926, -56959, -57014, -57097?\nAnswer: -57214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 48 = -32. Solve -8*c = -3*c + f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47337 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807731?\nAnswer: 807731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 45080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23146582 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k + 14. Let v be (-6)\/(-27) - (-4)\/(-18). Let z be r(v). Suppose -3*s + z = -5*y - 7*s, 3*y + 7 = -s. Round y to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 12.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 291*w + 2789. Let l be s(-8). Solve 0 = -467*i + l*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-496*r**3 + 8079*r - 8079*r)*(-46 + 46 - 6*r).\nAnswer: 2976*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - 12. Let l = -44 - a. What is the nearest to -1\/4 in 2\/11, -2, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 737257\nAnswer: -1\/737257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 12:50 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 4*t - 2. Let y be h(-3). Let a be (-35)\/(-25) + y*-1. Factor -a*c**2 + 4\/5 + 2\/5*c.\nAnswer: -2*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 l when three letters picked without replacement from ezelmznnzoennzo.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = -1. Let x be ((-18)\/300)\/((-6)\/w). Which is the closest to -0.2? (a) x (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48927 to the nearest one hundred.\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 4:07 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 55 = -4*d - 44, 4*a + 21 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 4 = 0. Let c be 7 - (1 - 2)*-1. Suppose o*i + 8 = c*i. Solve -2*p = 2*j + 18, -i*j = 3*j + p + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c8f06 (base 16) to base 5.\nAnswer: -1221421243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -27\/28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:31 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/(-3 + 33\/12). Suppose -5*z = -b*p - 2066232 - 2473768, 5*z - 4540000 = -3*p. Round z to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 2*z)*(2 - 2*z**3 - 2) - z**4 - z**2 + z**2.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1579 - 18 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a + 1. Let g(c) = 24*c**2 + 4*c + 1. Is g(a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -4*v - 476, 3*v + 947 = 2*r. Suppose 138 = -z - r. What is the common denominator of 99\/8 and 2\/(-8) - z\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let q(v) = 186*v**2 - 27*v - 27. Let s(t) = -27*t**2 + 4*t + 4. Let j(x) = -4*q(x) - 27*s(x). Calculate 66*h(l) + 4*j(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 19 = 5*b - 86, 3*d = -2*b + 39. What is the highest common factor of b and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9*x**2)**(1\/36))**(7\/5) assuming x is positive.\nAnswer: x**(77\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112745\/14 + -8061. Find the common denominator of -63\/8 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161208 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.86 + 0.96. Put v, -1, 0 in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253 - 6*m - 59*m**4 + 2*m**2 - 254 + 71*m**4 to the form u + w*m**4 + t*m**2 + o*m + x*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 21*b**2 - 21*b + 28. Let o be z(20). Suppose 87 = 5*t - o. Calculate the highest common factor of 57 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - n)*(-2 + 4 + 1) + 3 + 0 + 2*n - 4)*(2 - 3 + 0 + (-3 + 0 + 1)*(-1 + 0 - 1) - 2 + 2 + 4).\nAnswer: -7*n - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -3d512?\nAnswer: -3d519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8494871*u**2 + 14445338*u.\nAnswer: -16989742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:02 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-16*l - 5*l - 12*l)*(-1 + 1 + 1) + (0*l + 0*l - l)*(-2 - 1 + 1))*(-6*l + 2 - 2).\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 11*b - 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 49 + 39 = w. Solve -v - 1 = -d, -2*d + 8 = w*d - 5*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 36*t + 101. What is k(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4935 is divided by 979.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57900155 and -13.2.\nAnswer: -57900168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05793 + -2.14207. Which is greater: t or -66?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - p - 4193 = 0, f + 5*p - 2255 - 1932 = 0. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 = 16*h - 9*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:50 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 15*v - 13. Let i be r(-14). Suppose 5 + i = 3*y. Solve d = -4*l - y, 3*d + 0*l = l - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41 - -131) + -95)\/((-5)\/(-57))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 27*x - 46 = 0. Suppose -3*z - x*z = i - 32, 4*z = -4*i + 128. What is the greatest common divisor of 56 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - i. Let q be r(0). Let j(l) = l**3 + l + 2. Let a be j(q). Let f be 5 - 6*a\/4. Solve -6 = 4*o - f*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2 + 3*l - 3. Let x be n(2). Let r = x + -70. Let m = 77 + r. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9250454.66 rounded to the nearest 10000?\nAnswer: -9250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:50 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 887*i**3\/3 + 617*i + 228. Differentiate j(s) with respect to s.\nAnswer: 1774*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 11, 14, -36 in decreasing order.\nAnswer: 14, 11, 4, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 601073 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -521?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 48 - 12)*(-2*o + 1 + o + 0*o + 0*o + 2*o - o + (2 - 3 + 3)*(-2*o + 0 + 0) - 4*o + o + o + 2*o - o - 3*o + 0*o + 0*o + o).\nAnswer: -434*o + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45092533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 467050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 5*q**4 + 6*q - 3*q**4 - q**2 + q - 1 in the form a*q**2 + u*q**4 + i*q + x + l*q**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 166808\/7 (b) 3\/4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 363, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88264145*g**4 - 59324*g**2 - 1709*g.\nAnswer: -2118339480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/8 + 224775*v\/4 + 50523800625\/8 = 0. What is v?\nAnswer: -224775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -18135562 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 9:29 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (-5 - 40\/(-4)). Put 1, -4, r in decreasing order.\nAnswer: 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49933, 49992, 50049, 50104?\n\"Answer: -k**2 + 62*k + 49872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34233383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141929235 and 6615?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/11 (b) -3 (c) -956 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {y: 2, t: 2, u: 1, o: 4, l: 2, c: 8}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672939681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*o + 0*o = -3, -2*t - 2*o = 4. Calculate the common denominator of 4\/11 and (-5)\/4*18\/t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1035287543 or 1035287544?\nAnswer: 1035287543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**2 + g**3 + 4*g**3 - 12 + 6*g - 4*g**3 - 4*g. Let h be m(9). Let t(r) = -r**3 + 7*r**2 - 4*r - 7. What are the prime factors of t(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 7. Determine z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 192 = -6*y. Suppose -3*z = 2*a - 2 - 7, 4*z = -2*a + 4. What is the units digit of (-40)\/y*a\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 4*y**4 + 4*y**4 - y**4 + 3*y - 3*y + (y + y + 0*y)*(y**3 + 0*y**3 + y**3) + 329*y**3 - 329*y**3 + 20*y**4.\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -44, -68, -102, -146, -200, -264?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*i - 78. Suppose 22 = 5*b - 3. Put 8, i, b in ascending order.\nAnswer: i, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-2)\/(24\/10) - 72068\/(-87720))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 27*a**2 - 238*a - 5. Let b be s(-6). Calculate the greatest common divisor of 11153 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212 - 154*z + 153*z + 401 + 588*z**5 wrt z.\nAnswer: 11760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7806, 15148, 22034, 28464, 34438, 39956?\nAnswer: 45018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.13991nm?\nAnswer: 0.000000413991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 10. Let g be 5\/(-6) - (-9)\/6. What is the second smallest value in g, a, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - -7.8. Let g = x + -11. Let o = -9 - -10. What is the closest to g in 0, -1\/4, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1 + 3 - 5*w + 5 + w**2 + 0. Is z(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 817*x + 46 - 309*x.\nAnswer: -1126*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + 1383. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3193, -3172, -3137, -3088, -3025, -2948?\n\"Answer: 7*v**2 - 3200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6756\/17 bigger than -398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 13*k**2 - 30*k + 8. Let a(p) = p**2 - 6*p + 1. Give -5*a(b) + t(b).\nAnswer: -5*b**3 - 18*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 0, -22, 5 in descending order.\nAnswer: 21, 5, 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 155*m**5 + 85*m**4 - 24330*m**3 + 68040*m**2 = 0.\nAnswer: -14, 0, 3, 324\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 22. Suppose 0 = -3*c - r, -85 = -g - 4*g + c. Solve -2*b + g = 2*s - 7*b, 3*s = 5*b + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - -31. Let d = -47 + r. Suppose -4*i = 5*x - 3*x - 14, -11 = -x - 4*i. Solve x*p = 4*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018545952 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/8*-2 - -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -7.17 (b) -6\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00682 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/17)\/w*w*w**35 assuming w is positive.\nAnswer: w**(597\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:46 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-6 - 10) + 7 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 421392858*i**4 - 273*i + 375122 wrt i?\nAnswer: 5056714296*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:19 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5853211 * 0.4.\nAnswer: -2341284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 7:37 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13 = -3*f, -5*f = 3*l + 2*l - 10. Suppose -313*w = -295*w - 18. Which is the nearest to 1? (a) w (b) l (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 4*c - 3. What is y(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 5. Let k be (3\/f)\/(4\/8). Let p be 260 + -3 - (-1 - k). Calculate the highest common factor of 37 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - (sqrt(13)*-2 + 2) - -6*(sqrt(13) + 1)**2) + -3.\nAnswer: 30*sqrt(13) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 35*t + 53. Calculate the remainder when g(-18) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + 4*z + 6. Let f(l) be the first derivative of l**3\/3 + l**2\/2 + l + 1799. Give 6*f(s) - q(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92745218?\nAnswer: 2, 3557, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -22899*34\/(-26010)?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-6)\/(-8)). Let d(b) = 2*b + 0*b - 7*b + m*b. Let p(k) be the third derivative of -k**4\/24 + 2*k**2. What is d(p(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*h + 2*h - 3*h)*(h - 3 + 3) + h**2 + 2*h**2 - 2*h**2)*(-3 + 3 + h) as c*h**2 + n*h + y*h**3 + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 24*h - 1. Let b be (6 - 3)*(0 + 1). Let r be ((-4)\/b)\/(2\/(-3)). Is u(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.024 - 0.024. Let k = z + -25.128. Let c = -10.072 + k. What is c rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/1)\/(8 - 10). Let b be 7\/7 + -4 + (-2 - -10). Suppose -b*n + q + 0*q = -10, v = 4*q. Solve -t - n*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*d + 32, 5*j - 4 = -4*d. Solve -14 + 6 = j*z + 5*l, 20 = -5*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -176086?\nAnswer: 176085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 313 - 281. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1322607, 2645139, 3967671?\n\"Answer: 1322532*b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12. Which is the second smallest value? (a) 3 (b) -1\/19 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 89*t - 561*t**3 + 91*t + 484*t**4 - 485*t**4 as w*t**4 + y*t**2 + h*t**3 + j + o*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*f - 2, -4*t + 2*t - 5*f = -11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. Let m = 19 - g. Let a(h) = -h**2 + 28*h - 141. What is the least common multiple of m and a(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.103672 take away -0.9?\nAnswer: -21.203672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r + 5. Let y be w(-5). Suppose 12 = a - 2*l, -27 = y*l - 2. Let v(g) = -g - 3*g**a + g**3 - 10*g - 4 + 9*g. What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2 + 6. Let k be (4\/10)\/((-1)\/5). Calculate the lowest common multiple of -5 - (k - 0) - -25 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 11*u + 17. Suppose -2 = 4*q + 18. What is the least common multiple of y(q) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 + 93*q**2 - 36*q + 41. Determine k(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -114.832, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:02 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 45783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*n - 66 + 54, 2*z = 4*n - 38. Sort 1, 2, -5, z.\nAnswer: z, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -11, 37, 145, 337, 637, 1069, 1657?\nAnswer: 2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62217008 and 18.\nAnswer: 559953072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252 - -227) + (0 - 1) + 0 + 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 12*k - 12. What is o(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojz when three letters picked without replacement from jjojzjhot?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -162.604*5\nAnswer: -813.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 + 916*d**2\/3 + 29410*d\/3 + 245072\/3.\nAnswer: 2*(d + 17)**2*(d + 424)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/10, 14, 9, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -33. Let r = d - 4. Suppose 43 - 39 = r*t. Solve 0 = -3*a - 12, t*n = a + 4*a + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: What is the second derivative of -311*m**2 - 95*m wrt m?\nAnswer: -622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1636 = -n + 5*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 419*1 + ((-7)\/(-2) - (-207)\/(-138)). Which is greater: g or 416?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5873759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 12}. Give prob of picking 2 e.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 24. Let x = 4 - 2. What is the tens digit of (x - c)\/(1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31631028.5999998 - 31631026. Let t = b + -2.6. What is t rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/6 + -7)*(16 + -1). Let q(b) = -3*b**3 - 5*b - 5. Let r(o) = o**3 + o + 1. Determine v*r(h) - q(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/(j*j**(-11)))**(5\/7)\/(j**(-2)\/(j**(-2\/5)\/j)*j*j*j\/(j\/j**(-4))*j*j*j**(3\/5)) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26486*i**3 + 19983 wrt i?\nAnswer: -79458*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, -1664 in increasing order.\nAnswer: -1664, -33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -31*z**2 - z - 2. Give s(2).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/t)**(-32\/7)\/(t**(-2\/5)\/t)**(-1\/87) assuming t is positive.\nAnswer: t**(20831\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5779365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 564.0069l?\nAnswer: 564006.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51051*k**2 + 14523*k + 18 = 0 for k.\nAnswer: -3\/2431, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -40*j**2. Let v(y) = 29*y. Calculate d(v(b)).\nAnswer: -33640*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2)*w*w*w**3*w)\/(w**(-1))**(-2\/5) assuming w is positive.\nAnswer: w**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let r = 1 - n. Suppose -5*i = -5*z + 60, 0 = -4*z - r*i + 21 + 13. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x + 6*x. Let o = 11 + x. Calculate the least common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v = -141858 + 141693 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100747424 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/15 + (-1)\/(-3). Let b be -12*(2\/3 + i). Suppose -44 = -5*l - b. Solve -2*j - t - 1 = l, -j = 4*t + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 3*l + 381 = 0, 4*s = 4*l + 308. Suppose 384 = 3*p - s. Let f = -59 + p. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.23, 25, 3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 12:03 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -540266, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 1 - 1 + 0 - 5*r. Let c be (-1)\/(-2)*(1 + -11). Give b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 6823*c + 47822. Calculate i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/2)\/((-40)\/(32\/(-8)))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 112 = 92. Calculate the greatest common divisor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -23. Find the third derivative of 6*g**2 + 0*g - r*g**4 + 8*g - 8*g wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (-1*-2*sqrt(22) - sqrt(22)))\/((1*sqrt(20))\/sqrt(10)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 6*p - 8*p)*(289*p**3 + 2322 - 2322).\nAnswer: 1734*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 s when three letters picked without replacement from {s: 5, z: 3, r: 6, i: 1, p: 1, y: 4}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/18 and (114\/252 - 2\/3)*5.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*k**4*v + 34*k**4 + k**3 + 2*k**2*v + 31*k**2 + 23*k*v wrt k?\nAnswer: -576*k*v + 816*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-7 - -5) + 6 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 15. Let m be s(13). Suppose b + 5*r = 22, -3*r + 10 = m*b - 6. Suppose 2 + 16 = 3*i. Calculate the lowest common multiple of b and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 13*q + 49. What is n(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31140401?\nAnswer: 31140401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -32, 31, -3, 5 in descending order.\nAnswer: 31, 17, 5, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1572)\/262)\/(4 + -2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-4) - -1) + (-10)\/((-200)\/(-30)). Solve -j*z = -3 - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 0.09, 0.2, -44.306, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + 44*k - 179. List the prime factors of d(-39).\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a9 - 2875a?\nAnswer: -28936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677520?\nAnswer: 2, 3, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 6*m = -15*m - 2*w + 4, -1 = -w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-139.\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -470? (a) 13 (b) -3 (c) 5\/28 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582304113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 - 2*r**4)*(-1 + 0 + 0) - 149 + 72 + 77 + 654*r**4 + 727*r**4.\nAnswer: 1383*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t**4 - 46428*t**3 - 67122*t**2 + 5148*t + 25815 = 0. What is t?\nAnswer: -1, 5\/9, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/3, 1\/5, -5331, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233 or -58353\/251?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-10) - (-3)\/15. Let j = -3 + c. Solve j*a = 3 + 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*l**2 - 36*c**3 + 4*c**2*l + 29*c*l**3 - 2*c - l**4 wrt l?\nAnswer: 2*c**3 + 174*c*l - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(11) + sqrt(121)\/sqrt(99) + (sqrt(55) - ((sqrt(605)*-2)\/sqrt(11) - sqrt(55)))\/(sqrt(40)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 32*sqrt(11) + 2897\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/7 - 125*j**4\/7 - 269*j**3 - 726*j**2\/7 + 2736*j\/7 = 0. What is j?\nAnswer: -38, -24, -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.9 + 40.087. Let m = g - -1.243. What is m rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -629*o - 8179. Give x(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/((q*(q\/q**(-2))\/q)\/q*q))\/q**1)\/q**(-6\/5))**(-12\/11))**(-1\/40) assuming q is positive.\nAnswer: q**(-6\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or 9\/3065?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 + 0*u**3 + 0*u - 1\/24*u**4 - 2*u**2. Let x(b) = b. Calculate c(x(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1903183756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -487693211, -487693212, -487693213?\n\"Answer: -g - 487693210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 67. Let t(s) = -s**3 - 10*s**2 + 24*s - 4. Let x be t(-12). Let j = -29 - -26. Sort j, 1, h, x in decreasing order.\nAnswer: 1, h, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-4)*4\/6. Let u = k - -1. Suppose 4*h + a = 5*h, u*h - 2*a = 4. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17734 - -1671?\nAnswer: -16083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*r + 2 = -6, -r = 2*k - 8. Suppose k*t = 4*t. Suppose t = 3*p - 4 - 5. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -523 + 600.4. Let s = f + -4.9. Let t = -98 + s. What is t rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*f**6*r + 2*f**3*r + 7*f**2 + 11*r wrt f.\nAnswer: -12960*f**3*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1130752\/83 and -13625 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 2, h: 3, y: 1}. Give prob of sequence hh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10657?\nAnswer: 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let d be (-2)\/(-1 + 0)*1. Suppose -8*m - 87 + 119 = 0. Solve w*r - d*r = -m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43643.7km to meters.\nAnswer: 43643700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-894)\/(-745))\/((-6)\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/(-72))\/(4\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = -l, -3*g - 4 - 3 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3266803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-8)\/2)\/(-1). Solve -x*f + 4 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -22*21\/(-6). Let a = l + -74. Suppose 2*j = 4*m - 4 - 0, -2*m = 5*j - 2. Let t(r) = -r**2 + r + 1. Let n(p) = -3. Give a*t(c) + m*n(c).\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*t - 3*h + 4*h, -5*t + 5 = 3*h. Let z be (-1 - 8\/(-12))\/(t\/30). Solve 11 = 2*b + z*n, 2*b - 5*b + 4*n + 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -27.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 9, 14, 21, 30, 41?\n\"Answer: a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 + 10*y - 5. Let v(x) = 7*x**3 - x**2 + 11*x - 6. Let n(z) = 6*g(z) - 5*v(z). Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*g - p, -121 = -7*g + 4*g - p. Suppose g = 8*m - 4*m. Solve -3*h = 4*v - 22, m = 2*v + v - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 173.22 and 0.1.\nAnswer: 173.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20712 is divided by 222?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:53 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*n + 1668 wrt n.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 174 - 518 + 173 - 18371*y.\nAnswer: -18371*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-2)\/(-20))\/((-36)\/(-144))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*sqrt(8)*2)**2 - (1*sqrt(3168))\/sqrt(11)).\nAnswer: -12*sqrt(2) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 44100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exaa when four letters picked without replacement from eeeaxxaxeeaaaaeaxe.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)*(-6 - -5). Suppose -3 = -3*s, 2*s - 11 = -4*d - s. Suppose d*z = -a*y + 163, 39 = -4*z + 5*y + 332. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3124 (base 8) to base 13\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*i + 14*i - 79*i + 12*i to the form q*i + n and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18806919 and -1.\nAnswer: -18806920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37731 is divided by 5375?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.165 + -0.165. Let z = 13.5 - 2.2. Let g = z - y. Which is the second smallest value? (a) 4\/7 (b) g (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w - 2. Let y be r(3). Suppose -3*j + 482 = -18*k + 13*k, -2*j = -3*k - 323. Calculate the greatest common divisor of j and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-4)\/sqrt(9)*-6.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 3*s + 3*s + (0*s - 5*s + 3*s)*(2 + 5 - 1) - 119*s + 104*s + 105*s to j + b*s and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1795599 + 20*c - 1795599.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15510 is divided by 4139.\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -444*j - 227. Determine a(-2).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1050066579 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:59 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t + 155 - 307 - 420 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*m + 362 - 402, -2 = 2*m - 11*i + 53 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 14. Let s = z + 8. Differentiate 3*i**2 - 1 - 4*i**2 - i**s with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -41. Let p(n) = n**2 - 5*n + 6. Let a be p(h). Suppose a*d + 4535 = d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**6*x))\/(x\/(((x\/(x\/x**(2\/7)))\/x*x)\/x)))\/(x**0*x*x**(2\/13)))**(13\/5) assuming x is positive.\nAnswer: x**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) 2\/5 (c) -1\/4 (d) -20 (e) -1\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x**2 + x. Determine y(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4688864, -9377736, -14066608?\nAnswer: -18755480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*(-188)\/846.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 11*z + 5. Let c be y(11). Solve -1 - r**3 + r + 4*r - 10*r**2 + 11*r**3 - c*r**4 + r**5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -14.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y + y)*(1 - 5 - 2).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-9)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g*g)**(26\/3)*(g**(-1\/3))**39)**(35\/4) assuming g is positive.\nAnswer: g**(-455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, g: 8, m: 3}. Give prob of picking 1 m and 1 g.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -27. Suppose -y = l + 31. Which is the smallest value? (a) -3 (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*4 - sqrt(22)\/(sqrt(2)*2)) + -1 + (sqrt(264)\/(sqrt(192) + sqrt(12)))\/sqrt(2).\nAnswer: -83*sqrt(11)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 3\/4, -0.21, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4218 + 4277 - (70 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49471803 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -984.7 - -985. Let n = -0.08 - -3.08. Put n, o, -2 in decreasing order.\nAnswer: n, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 7. Suppose 3*b + 2 + 11 = -5*v, b - 7 = 4*v. Let m be o(v). Suppose -m*q + 8*q - 66 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1182*j + 4490. Give l(-3).\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 675, 1365, 2055?\n\"Answer: 690*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2. Let n(z) = 4*z - 66 + 66. Calculate w(n(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 + 10*q**2 - 36*q**2 + 19*q**2. Let n(l) = 21*l**2. Give c(n(h)).\nAnswer: 1323*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12082452.\nAnswer: 2, 3, 23, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26625.868 rounded to the nearest 10?\nAnswer: 26630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405 is divided by 1782.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -15. Solve -2*u = 3*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273133, -546314, -819533, -1092808, -1366157, -1639598, -1913149, -2186828?\nAnswer: -2460653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203047 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = -4. Let g be (-3)\/3 + (q - -4). Let h(a) = -3*a + g*a + 4*a - a. Let m(i) = -5*i. What is m(h(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 6 + 7 - 17 + 6 + 2*a**4 to g*a**4 + m*a**3 + h + j*a + d*a**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/24)\/((-4840)\/(-15488)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t - 32. Does 13 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 358 = 5*n, n - 3*c = -6*c + 75. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b4c (base 14) in base 13?\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**5 + 0*d**3 + 0 + 0*d**2 + 7\/6*d**4 - 3\/5*d**6 - 10*d. What is the third derivative of x(t) wrt t?\nAnswer: -432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u = 45*u + 534 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 78*b + 175. Is k(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:36 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13662 = 22*y - 4*y. Let s = y + -222. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -7. Let r be (6\/(-21) - 16\/(-7)) + 0. Find the second derivative of l**r - 2*l + o - 2*l - 32 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 23*v**5\/20 + v**2. Let f(g) = -g**2 - 23188*g - 23186*g + 46374*g. Determine w(f(b)).\nAnswer: 69*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = -39*x + 30549. Let g = x + -19663. What is g rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**3 + 3*z - 3. Let b(m) = -8*m**3 + 4*m - 4. Let d = 56584 + -56581. Let p be (-22)\/6 + (-2)\/6. Give d*b(i) + p*t(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/70)\/((1091\/(-2182))\/(7*(-1)\/148))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251129?\nAnswer: 107, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 24. What is the remainder when (2\/3)\/((-1)\/(-105)) is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -182 + 188.03. What is l rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*v + 1 + 6, -5*v - 21 = -3*g. Let y be (-930)\/20 + (-3)\/g. Let w = y + 93. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16793.8006 to the nearest integer.\nAnswer: -16794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + h + 4067 = 11329, -4*h = -8. Let q = z - -3160. Suppose -2 - q = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 7 = 2*i, -224*i = -219*i - 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12492970, 24985868, 37478768, 49971670?\nAnswer: 62464574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 11. Suppose 5*v = -3*y - 67, v + 18 = -3*y - 5. Let d be i(v). Put 5, -6, -1, d in increasing order.\nAnswer: -6, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 - -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exeexeexxxxxoexxx. What is prob of sequence eexo?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37*(-6)\/((-5)\/((-30)\/(-18))) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280232 - 280208. Let v(x) = 4*x**2 + 4. Calculate the smallest common multiple of o and v(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/28 in -2, -3.8, 32\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4129 - 19025 = -102*x. What is the lowest common multiple of 10 and x?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjj when three letters picked without replacement from {v: 10, c: 1, d: 1, j: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 6. Suppose 5*p - 49 = 4*f - 10, 4 = p + b*f. Let h = p + 12. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/45 + 34\/10. Let p be (-4)\/3*(-6)\/k. What is the first derivative of -y - y**p - 5*y + 2 + 6*y wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 3. Let m be o(2). Let b be (-10)\/(-8) - m - 3. Let s = 0 - 0.2. Sort b, 0.3, s.\nAnswer: b, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.452383 and -6.\nAnswer: 2.714298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**7\/210 - t**6\/30 - t**5\/20 + 5*t**4\/12 + 4*t**3\/3 - 8*t**2 + t. Let i(v) = 0. What is v?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 3:22 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -10. Suppose 5*j = 22 - i. Suppose j*o = c - 67, 2*c + 7*o - 116 = 4*o. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100211132 (base 4) in base 16?\nAnswer: 1095e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1444340 and 6425?\nAnswer: 7221700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 - 174*x**3 + 3540*x**2 - 29736*x + 84672 = 0.\nAnswer: 6, 14, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93199137 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -57. Suppose 4*g - 507 + 79 = l. Calculate the remainder when g is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:28 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -353*y**5\/60 - 2*y**2 - 26*y. Let p(h) = -2*h. Give m(p(r)).\nAnswer: -1412*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11.7816123*0.2\nAnswer: 2.35632246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 74604111 to the power of 1\/2, to the nearest integer?\nAnswer: 8637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*w + 211*w + 1545*w + 122*w + 1739*w to the form i + n*w and give n.\nAnswer: 3850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 q when three letters picked without replacement from {h: 4, c: 4, e: 3, q: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*k + 6, 5*u - k - 1 - 21 = 0. Let y = -3 - -8. Suppose 4 = 2*g - y*f, 3*g - 6 - 7 = u*f. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657890213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnll. Give prob of picking 1 l and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -114. Let l = i - 36. Let b = 83 + l. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930020 divided by 71540\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17364 divided by -6.\nAnswer: 2894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 40*d + 3)*(6*d - 2*d - 3*d)*(3 - 3 + 1) as v + s*d**2 + a*d and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76752409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 + 376\/(-190))\/(132\/60) and -34\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-56))\/((-7436)\/(-47320))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-4) - (-2)\/(-4))*(-565611)\/(-57).\nAnswer: 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v + 4. Let o(k) = -k. Let m(h) = 6*h. Let q(f) = m(f) + 5*o(f). Let n(b) = 22*q(b) + 2*w(b). Determine n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-22\/5)*(n\/n**(-6))\/(((n*n**7*n*n)\/n*n)\/n))**42 assuming n is positive.\nAnswer: n**(-252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*a = 61 + 35, -c - 26 = a. What is the common denominator of c and -101\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 126, 289, 518, 813, 1174?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5276325?\nAnswer: 3, 5, 70351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -10.03. Let x = t + -9.3. What is x rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 13*u - 23. Determine v(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 121*l + 750. Calculate x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*c - 384*c = -1368867. Is c a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6671915 to the nearest one thousand.\nAnswer: -6672000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6*q + 32. Let c be q\/5 + (-5)\/25. Factor 2*a**3 + 9*a**2 - 6*a**c - 2*a - 4*a**3 + a**3.\nAnswer: -a*(a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:41 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**2 + 72*d + 11. Let t(j) = 5*j**2 + 35*j + 5. Give -4*l(w) + 9*t(w).\nAnswer: -3*w**2 + 27*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.4, 6152, 2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((32 - 102) + 168)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2.16 (b) 14 (c) 2\/31 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -56. Suppose a*s = -5*s + 920. Suppose -2*d - s + 446 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 2. Let w be o(-3). Suppose 2*k + 28 = -5*k. Let v be (1\/3)\/((-11 - k)\/(-42)). Solve -v*d - w*j + 23 = d, 2*j = 5*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 11*l - 6. Let g be l*(-155)\/15 - 6. Solve -g = 5*v - 0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -16\/15*h**5 - 56\/9*h**3 + 17\/3*h**2 + 27 + 1\/9*h**6 + 11\/3*h**4 - 8\/3*h. Determine u, given that j(u) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 times 95584\nAnswer: -9749568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 795905 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -18. Suppose -3*m = -136 + w. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656 (base 11) to base 9\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17144?\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (196\/(-50) - -4)*5*-1. Which is the nearest to -1\/4? (a) -1\/13 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220 + 122?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 239*x**4 - 434*x - 459. What is the first derivative of u(j) wrt j?\nAnswer: 2868*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y + 296. Give i(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2027 < -2026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 11 - 11 + (d - 2*d - d)*(-d + d - 2*d) - d**2 + 0*d**2 - d**2 to the form k + j*d + g*d**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -13\/4*m + 5\/4*m**2 - 3\/2 = 0?\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1383946 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 2*o**2 + 0*o**2 + (-o + 0 + 0)*(0*o - 2*o + o) + 7 + 0*o**2 + 5*o - 8 - o**2.\nAnswer: 2*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1019156264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**3 + 3*m**3 - 156*m - 46*m to g*m**2 + q*m**3 + r + y*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47059\/11 - 4275. What is the common denominator of (-48)\/(-40)*5 - (-156)\/(-16) and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 19, -5\/31, 0.01, 1\/3 in increasing order.\nAnswer: -5\/31, 0.01, 0.11, 1\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnvnvvndvhndvnnvmv. Give prob of picking 2 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3958 - 1850 = 169*h + 73*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123 + 18 + (12 - (-8 - -20)) + 9?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 8700250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 245718855?\nAnswer: -4\/245718855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4 = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 122 - -27ba2?\nAnswer: 27cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l*l\/l**(7\/5)))*l)\/l**(-10\/3))\/(l**(9\/2)\/(l*l**(8\/5))) assuming l is positive.\nAnswer: l**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.6 - -6. Let h = 3.54 - 3.7. Let d = 0.84 - h. What is the closest to d in -1, 0.02, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3669 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 - u - 1. Let a(f) = -3*f**2 + 2*f + 2. Calculate -a(x) - 3*b(x).\nAnswer: 3*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 14*q**2 - 6*q - 2. Let n be u(-5). Let -54*g + 17 - n*g**3 - 5 + 327*g**2 - 54*g + 147*g**4 = 0. Calculate g.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:55 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 1780.\nAnswer: -13, 4, 1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 - -115 - (-1 + 42\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 12 - -31 - (-30 - (3 - -1) - -3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1675395090 + 36.7\nAnswer: 1675395126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**3 - 22*z**2 + 21*z + 4. Let h(m) = 3*m**3 + 11*m**2 - 12*m - 2. Calculate -4*f(s) - 7*h(s).\nAnswer: 3*s**3 + 11*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15337.3 - -15319. Which is the third smallest value? (a) 5 (b) 0.4 (c) -3 (d) g (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -15\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2*(-9)\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 5*w + 3*b - 5*b, -w = -4*b - 10. Let l(o) = 39 - 2 - 6 + w*o + 15 + o**2. Calculate the lowest common multiple of l(-20) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1*(-1 + 3). Suppose g - c = 2*c + 113, -5*g - 3*c + 565 = a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 equal to 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*w**2 + o**3*w - o**2 + 36*o*w**2 - 2*o - 2*w**2 wrt o?\nAnswer: 24*o*w**2 + 6*o*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/16120 and 59\/1036.\nAnswer: 4175080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0.4, -6\/19.\nAnswer: -6\/19, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 > 172259\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 320 + 1594. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + -1944.07917?\nAnswer: -1942.97917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 18*s - 40. Let y(u) = 14*u**s - u**2 - 10*u**2. Let a(r) = 43*r. Calculate a(y(j)).\nAnswer: 129*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/13)*k**1)**(-40))**10 assuming k is positive.\nAnswer: k**(-3600\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/6, 0.3, -308\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 696*y + 2096. Determine m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:39 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/6 (c) -6\/11 (d) 728\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-980)\/(-350)*10\/(-8)*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -49. Let w be (-12)\/(-18)*(-60)\/8. Put w, 2, l, 5 in decreasing order.\nAnswer: 5, 2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*s + 7*s + 22*s - 62*s in the form j*s + l and give j.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.8 - -16. Let p = 0.231 - g. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*p - 3*p**3 + 0 + 2*p**2 - 153*p + 2*p**3 - 2 to the form s*p**2 + v + k*p**3 + q*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147722806 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**3 + 22*d**2 - 22*d**2 + (0*d**2 + 0*d**2 + 2*d**3)*(6 - 3 - 2) to the form q*d**3 + z*d + w*d**2 + n and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z - 18. Let y be k(5). Solve y*j + 2*j = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4 + 20713\/(-4842)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 23 - 25 = 0. Let u(k) = -3366668*k - 8. Let r be u(t). Round r to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/2)\/(-5 + 62\/12). Let v = x + 96. Is (1441\/(-2))\/(v\/(-6) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 (base 5) in base 9?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (34\/5)\/((-3)\/(1740\/(-2))). What is the tens digit of (-18)\/(-12)*q\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -27*n**2 - 4*n + 26*n**2 + n - 4. Let u(b) be the third derivative of b**4\/24 + b**3\/6 + 12*b**2 - 2. Determine -7*u(m) - 2*v(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61442171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 321*a - 9 + 52 + 260*a - 16 + 2*a**4 as b + j*a**2 + c*a**4 + p*a + q*a**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 13*c + 2. Let h(q) = q**2 + q. Determine -6*h(b) + y(b).\nAnswer: -2*b**2 + 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 326*r + 660.\nAnswer: -2*(r - 2)*(r + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 46*t + 10. Let x be y(-23). Suppose c = -4*s + 760, 4*c + 11*s - x*s = 3070. Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/72 + 122\/18. Let j = -15 + g. Let l = j - -13. Solve 0 = l*t + 28 - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a**3 - a. Suppose -2 = 5*l + 3. Calculate the lowest common multiple of 8 and p(l).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 22 = 10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/6)\/((-3)\/(-12)). Suppose -72 = -38*z + 14*z. What is the second biggest value in z, f, -0.01, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 18. Let q be n(10). Let z(d) = 3*d - 5. Let w be z(q). Sort 3, -2, w in decreasing order.\nAnswer: 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/125 and -46\/55.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = r + 2*r + 14, -5*x = -3*r - 7. Which is smaller: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1516*r**4 + 12*r**2 + r?\nAnswer: -36384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 13*o + 8. Let u be f(14). Let j(s) = -s**2 + 2*s + 2. Let t be j(2). Calculate the highest common divisor of t and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d455 (base 16) to base 11.\nAnswer: -37926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 41 - (96 + -123) - (4 - (-3 + 14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) -1\/2 (b) 382 (c) -2\/5 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 116.7. Let a = c + -4.3. What is the closest to 0.1 in 0.4, -8, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.53847\nAnswer: 1.07694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6238704*v**3 + 1858*v**2 - 108 wrt v?\nAnswer: -37432224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h - 136. Let t be (-510)\/(-54) + 24\/(-54). Let r be g(t). Is -46\/19 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 14. What is the remainder when 13 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:55 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 18354.\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -10, 21, 88, 203, 378?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5355 - -3?\nAnswer: 5402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. What is the third derivative of a**4 - 4*a**4 - a**2 - 3*a**r wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*k + 10, -j - k + 10 = -2*j. Let h = -1 - j. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(140\/560 - (-2)\/(-24)). Sort -86, 1, n in ascending order.\nAnswer: -86, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -216152, -864666, -1945526, -3458732, -5404284, -7782182?\n\"Answer: -216173*w**2 + 5*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q**2 - 11*q - 42*q**2 - 256 + 8*q**2 - 249*q + 16*q**2 = 0.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105316 - -24?\nAnswer: -105272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 1113.\nAnswer: -9, 0, 1113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43218 divided by 42?\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 82 = -244 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - i + 16, -15 = 2*r + 2*i - 7*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24923 by 34.\nAnswer: 24923\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -18.8. Let o = -7 + q. Let t = 1.8 + o. What is the nearest to -1 in t, 5, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 668\/14. Suppose w = 3*s - 6*s. Find the common denominator of ((-4)\/66)\/(s\/(-1332)) and -47\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242614 divided by 466.\nAnswer: -121307\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37\/164 - 1\/41. Let u = -49\/1131 - 1\/39. Let l = u + -52\/87. Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -329149802, -329149801, -329149800?\n\"Answer: m - 329149803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -243088, -486367, -729646, -972925?\n\"Answer: -243279*l + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p + 1. Let h(z) = -15*z**2 - 25*z - 25. Calculate -h(q) - 25*w(q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2246 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 197*c**3 + 9. Let j(w) = 394*w**3 + 15. Calculate 3*j(z) - 5*s(z).\nAnswer: 197*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392644 and 70966?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 346 + -331. Is (m\/(-20))\/(3\/(-4))*1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 5 (c) -0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let o(g) = 13*g. Let c(s) be the second derivative of -s**3\/2 + 6*s. Let d(i) = 18*c(i) + 4*o(i). Determine j(d(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -22735373 smaller than -22735368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2417*y**2 - 116*y - 349. List the prime factors of r(-3).\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 24, 31, 40?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**6\/360 + l**5\/20 + l**4\/12 + l**3\/2 - 19*l**2. Let s(g) be the first derivative of q(g). Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 + 33*s**2 + s + 2. Give x(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.109+-847\nAnswer: -846.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11133.9 - 11134. What is the fourth biggest value in 1, 33.9, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 74325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 834.8 - 834. Which is the closest to m? (a) -1\/8 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 303734761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**2 + 14*w - 26. Differentiate p(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*q - 8. Let k(h) = h. Let m be k(3). Let f(c) = 0*c + 19*c**m - 8*c**3 + 2*c**2 + c. What is f(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-20)\/(-5) - -8). Let t(a) = -5*a + 0 - 12 + a. Is t(u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 5*u - 1077 = -10*p, -3*u = p - 373. Let z = -85 + p. What is the highest common factor of z and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 + 5*j. Let v(a) = -2*a**3 + a**2 + 4*a - 1. Let f(u) = -u**2 - u + 1. Let z(l) = f(l) + v(l). Determine 6*g(o) - 10*z(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1151\/9, 12, 2\/21, 5.\nAnswer: -0.2, 2\/21, 5, 12, 1151\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -31, -2\/737, -0.5, 4?\nAnswer: -2\/737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, a: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 6, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 1. Let h = -16 + 17. Let r be z(h). Is -3 + (r - -712 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285947.\nAnswer: 269, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 983, 980, 975, 968?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 t when three letters picked without replacement from {u: 2, l: 1, t: 2, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 40.6. Let s = z + 0.6. Which is the third biggest value? (a) -0.2 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -4*t + 3*t, -14 = t - 5*p. Let z(d) = d**2 - 7*d - 2. Let b be z(t). Is ((-40)\/(-15))\/b*-3453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 5*t + 5*u + 17, 5*u - 24 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 96, 82, 50, -6, -92, -214, -378?\n\"Answer: -n**3 + 5*n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 136, 257, 378?\n\"Answer: 121*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780606, -780731, -780856, -780981, -781106, -781231?\nAnswer: -781356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let f(x) = x. Let r be (-6)\/(96\/20)*(-3 + -1). Suppose -r*v = 3*w - v + 18, -w - v - 5 = 0. Give w*h(i) + 12*f(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 11*r = 0. Solve -2*x - 8 = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8)*-1) - (sqrt(11) - (1 + sqrt(11) + -5)**2)) + -3.\nAnswer: -10*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9*u + 10*u = 18*u, -3*u = 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 3. Let r be q(1). Let f(t) be the first derivative of -t**2\/2 + t + 527. Let p(o) = o - 1. Give r*p(x) + f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -ba?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*q + 15, 10*q + 12 = 7*q + 4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*d**2*y**4 - d**2*y - 954*d**2 - d*y with respect to y.\nAnswer: -708*d**2*y**3 - d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -1\/16*z**4 + 2*z**2 - 1\/240*z**6 + 0*z + 0 - 1\/40*z**5 - 1\/12*z**3. Determine s so that g(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -26. Suppose -c*q + 39 = -17. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.1 + 144. Let z = -13 + f. Let x = 1.96 - -0.04. Which is the smallest value? (a) z (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/72 and -61\/234?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49 + -83 + 199 + -109\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-3))\/(8\/1644). Suppose -64 = 3*v - a. Let q = 105 - v. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1013*p**2*w**2 + 5867*p**2 + 6*p*w**3 wrt w.\nAnswer: -2026*p**2*w + 18*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -67. Let w be 1 + (-5 - -2) + k. Let y = 49 - w. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23037*j**3 - 752 + 752.\nAnswer: 23037*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/(-363))\/(2\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -28.00214. Round t to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = u + 3*c, 2252 = 5*u + 171*c - 168*c. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651 + -1093.4. Let s = o - -442. Let j(t) = t**2 - 6*t. Let n be j(6). Which is the second smallest value? (a) 0.3 (b) s (c) -4\/5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022475900 rounded to the nearest one million?\nAnswer: 1022000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282451 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -23*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370097 and 1495?\nAnswer: 42561155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(476\/(-2436))*4\/(12\/1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 298513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -507 (b) 7.86 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4335.714l in millilitres?\nAnswer: 4335714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 120, 184, 252, 324, 400, 480?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -663.324756 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*i**2 + 18*i**2 - 38*i**2)*(3*i - 6 - 5 + 16).\nAnswer: -168*i**3 - 280*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 13 + -2 - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242993890 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -80*r**4 - 620*r**3 + 1485*r**2 + 4510*r + 2760. Let a(l) = 3*l**4 + 23*l**3 - 55*l**2 - 167*l - 102. Let q(k) = -55*a(k) - 2*o(k). Factor q(n).\nAnswer: -5*(n - 3)*(n + 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 18*a. Let u be k(-9). Let p be ((-39)\/(-9) - 4)*(2 + 70). Solve -4*v + 0*v + p = -4*c, 2*c - 5*v + 24 = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2193 = -4*f + 3*h, 36*h = -4*f + 35*h + 2181. Calculate the greatest common factor of 156 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 6*d + 128 = -9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*f - 4*f - 96, 3*f = -4*l + 220. Let c = -78 + 88. What is the remainder when (-8)\/l - 706\/(-26) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**9\/252 - t**8\/42 + 13*t**5\/60 + t**4\/24 - 17*t**2. What is the third derivative of f(u) wrt u?\nAnswer: -240*u**3 - 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151237 is divided by 191.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -0.2 (c) 3 (d) -3\/8 (e) -3\/10 (f) -14 (g) -0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 - 23220*s - 876148650.\nAnswer: -2*(s + 75465)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 195*m**2 - 556*m - 3. Calculate w(-62).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 + 4*c - 30. Let x(z) = 3*z**3 + 10*z**2 - 3*z - 8. Let o be x(-3). Determine i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 563022.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 25 = 3*c + f, -3*c = -f + 20. Let q be 0\/(3 + -2 + -4). Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 + 117. Suppose u = c - 2*f, -11 = 4*c + f - 60. Solve 12*g = c*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + 1 + -6 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/91 + -31\/546. Let m = 0.178 - 5.178. Which is the closest to -1\/7? (a) m (b) -3\/7 (c) -2\/15 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 866*(-3 + 9) + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1482)\/(-7410) + 33\/240*-2?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)*0 + 16. Let w(n) = -25*n - 38*n + 22 - 106 + 83*n. Let a be w(13). What is the greatest common divisor of a and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/140*b**6 + 0*b**4 + 0*b**3 + 0*b + 6*b**2 - 1\/210*b**5 + 0. Factor u(n).\nAnswer: 2*n**2*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110100100 (base 2) to base 15.\nAnswer: -1e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 84286, 5 in increasing order.\nAnswer: 3\/4, 5, 84286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.8.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + 4 + 9 + 2 + r**2 - 16 + 12 in the form p*r + w*r**2 + j + i*r**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -302 + 426. Let g = 33 - 21. What is the remainder when g is divided by l\/16 - 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77752742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**7\/1260 + r**6\/270 - r**5\/180 - r**3\/6 + r. Let z(f) be the second derivative of l(f). Solve z(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/23 < 21573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**4 - 155*t**3 - 185*t**2 - 45*t.\nAnswer: -5*t*(t + 1)*(t + 9)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8250 + 2a?\nAnswer: 827a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 512549977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2266 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -109259213.8 rounded to the nearest one hundred thousand?\nAnswer: -109300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3076 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5506.266 minutes to nanoseconds.\nAnswer: 330375960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40733 is divided by 84.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 12) in base 2?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41955, 42008, 42109, 42282, 42551, 42940, 43473?\n\"Answer: 4*b**3 + 25*b + 41926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15.38 * 58\nAnswer: -892.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4544869.279 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 11) + (3 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737368 is divided by 390.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55, 51, 37, 7, -45, -125?\n\"Answer: -f**3 + f**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -3 + (-136 - -140)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20001 (base 3) to base 2.\nAnswer: 10100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4522, -18154, -41034, -73294, -115066, -166482?\nAnswer: -227674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 8*z - 10*z + z**2. Let i(c) = -109*c**2. Determine i(k(w)).\nAnswer: -109*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let n(l) = 11*l**2 + 11204*l - 2. Give n(x(b)).\nAnswer: 44*b**2 - 22408*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 23 = -m - m, -5*m = -z + 25. Does 4 divide 225\/18 - (-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + f + 75. Let k = 6 + f. What is the remainder when ((-164)\/(-6))\/(14\/k) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*v**2 - 3296*v + 112 = 0.\nAnswer: -14, 2\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 + 117 + -117)\/((0 - 2) + 1).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 10490d8?\nAnswer: 10490d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980578 is divided by 3369.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8722340 to the nearest ten thousand.\nAnswer: -8720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 15 = 35. Let k(n) be the second derivative of -n + 0*n**2 + 1\/20*n**5 + 0 - 1\/6*n**o + 0*n**3. Find the third derivative of k(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/41664 and 67\/160704?\nAnswer: 1124928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:25 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 33296.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3\/5 + 69548*h**2\/5 + 2643280*h = 0 for h.\nAnswer: -188, 0, 17575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**9\/1512 - d**6\/90 - d**3 + 2*d**2. Let v(i) be the first derivative of a(i). Find the third derivative of v(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422655 or 422647?\nAnswer: 422647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**3 - 1894*k**2 + 406*k - 16104. Give x(-237).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.1. Suppose -2*q + 4*l - 8*l = 18, 5*l = -q - 24. What is the second smallest value in a, -0.01, q?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9660*t + 6906896. What is d(-715)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25196.\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 3*d + 2*d**4 + 0*d**4)*(-6 + 25 + 22).\nAnswer: 82*d**4 - 205*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:45 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 - 11*o**2 - 11*o - 26. Let m(s) = -s**3 - 2*s**2 - 2*s - 5. Calculate 33*m(y) - 6*z(y).\nAnswer: -3*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(2*(sqrt(78) + sqrt(78)*5) - sqrt(78))\/sqrt(6).\nAnswer: 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p. Let r be (-2)\/(-8) - 45\/36. Let a(n) = -3*n**3 + 6*n**2 - 4*n + 1. What is r*a(b) - 6*q(b)?\nAnswer: 3*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -145, -141, -125, -91?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -2474?\nAnswer: -2472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*x**3 + 194*x**3 + 223*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73982095 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 2205 = -8*o. Let q = 254 + o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55762 - 55760 - 4*k**4 + k**5 - 99*k**3 + 220*k - 5*k wrt k?\nAnswer: 20*k**3 - 48*k**2 - 594*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 4. What is the units digit of (-6)\/9 - 26\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, 401057.\nAnswer: 1, 48, 401057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m + 12 - 21 = 2, 14*o + 20 = -2*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p + 13*p**2 + 113*p + 0 - 2.\nAnswer: 13*p**2 + 175*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.09, 5, -3\/10 in descending order.\nAnswer: 5, 0.09, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 11*f = -380 + 61, -5*f - 145 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*87\/(-58)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u**2. Suppose -6 = t + t - 4*p, -t = 3*p - 7. Let c(k) = 5*k - 4. Let i(y) = y - 1. Let x(h) = t*c(h) - 4*i(h). Determine x(l(a)).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 2)\/(6\/(-8)). Let x(s) = s - 6. Let p be x(o). Sort 5, p, 1 in descending order.\nAnswer: 5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -87*m**2 - 3*m - m + 44*m**2 + 5 + 25*m**2. What is j(2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(7\/10)\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 8. Suppose -12*k + 16 = -8*k. Suppose c = -5*n + 1, -8 = -5*c - 4*n - 3. Put k, c, x in ascending order.\nAnswer: c, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 10) in base 3?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d + 33. Let s be r(-5). Let i = -60 + s. Suppose 6*v - i = -4. Solve k + x = 4, v*x = -k - 2 + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -367, -375?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 23 = -2*g + t, 12 = g + t. Suppose 11*r = 6*r. Let i(f) = f + 8. What is the least common multiple of i(r) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 + 178. Let a be ((-16)\/r)\/(8\/(-30)). Let 0 - 2*q**4 + 0*q + 1\/2*q**2 - a*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1738292, 1738188, 1737902, 1737344, 1736424, 1735052, 1733138, 1730592?\nAnswer: 1727324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7732.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 48, 64, 96, 150, 232, 348, 504?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 8 - 6)*(3*z - 6*z - 7*z)*(0*z - 5*z + 13*z) to the form a*z + f + i*z**2 and give i.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14647 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l**3 + 9*l**3 + 83*l**3 + 6 - 25*l**3.\nAnswer: 23*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9672 divided by 369?\nAnswer: -3224\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p**3 - 9*p**2 + 7*p + 3. Let o(r) = 3*r**3 - 5*r**2 + 4*r + 2. Let q be 2 + 5\/(10\/(-8)). Let k(d) = q*v(d) + 5*o(d). Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 6 = -9*s. Let r be (-1)\/s + 3531\/22. What are the prime factors of r\/3 - 4\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306, 3, -4.1 in decreasing order.\nAnswer: 3, -4.1, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(187)\/sqrt(176))**2 + (sqrt(68)*2)**2.\nAnswer: 4777\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 2, -2*i = -k + 9. Let t be i\/(4\/(-2)) - -4. Let y(x) = x. What is the units digit of y(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*i - 2*i - 11, 2*i - 4 = 3*w. Let g(d) = -20*d + i*d + 14*d. Let b(j) be the third derivative of -j**4\/12 - j**2. Give g(b(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10190 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: Let n be 2\/(1 + (-6)\/8). Suppose 0 = -4*c + n. Let w(t) = -t**3 - 16*t**2 + 35*t - 14. Let d be w(-18). Solve -d*f = -c*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28) + (sqrt(28)*-1)**2 + -3)*-5.\nAnswer: -100 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.2463 micrograms in nanograms?\nAnswer: 230246.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6258, -27351, -63282, -114051, -179658, -260103?\nAnswer: -355386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 31326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1520, 1523, 1518, 1499, 1460, 1395, 1298, 1163?\n\"Answer: -t**3 + 2*t**2 + 4*t + 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*g = -1 + 6, -2*g = y - 11. Let v be 48\/5 + (-6)\/(-15). Find k such that -16*k**2 - 26*k**y - 8*k**3 - 2*k**5 - 12*k**4 + v*k**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(68)\/sqrt(4) + sqrt(17))*5 - (sqrt(2057) - (sqrt(2057) + 1))) + ((sqrt(85)*-1 - sqrt(85) - sqrt(85))*1)\/sqrt(5) + -3))**2.\nAnswer: -1008*sqrt(17) + 30132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3 - 149*f + 2 + 147*f. Give z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/77*(-21)\/12*(-80)\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194942 and 206186609?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6375 - -19127\/3. Let s = -0.1 - -0.1. Let n = -1 + s. Which is the second smallest value? (a) 1 (b) n (c) g (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-10) + (-1943)\/145. Let i(t) = -26*t**2 + 14*t - 20. Let u = -1 + 3. Suppose u*k = 8 + 2. Let x(j) = -9*j**2 + 5*j - 7. Calculate k*i(b) + m*x(b).\nAnswer: -4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888218.8l to millilitres.\nAnswer: 888218800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89882.\nAnswer: 2, 13, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g**(-3\/7))**(-3)\/((g\/g**(1\/2))**(-9))**(1\/58) assuming g is positive.\nAnswer: g**(-1793\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = y - 20, 3*n - 1 = 2*n. Let r = 25 - y. Suppose w = 4*c - 8 - r, -4*c + 3*w + 13 = 0. Solve 6*v = c*v + 2*f - 2, -5 = -f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7 + 76*a - 77*a + 3 - 4. Let j be o(-8). Suppose 3*s = -j*s + 99. Calculate the greatest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 7 + 12*v - 13*v)*(v**2 - v**2 + 2*v**3) to the form l*v + i*v**4 + j + c*v**3 + a*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z**2 - 47*z**2 - 46*z**2 - 49*z**2 - 50*z**2 + 240*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 49*i**2 - 6*i - 10. List the prime factors of j(-6).\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -419*k + 969. What is f(2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16659662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36905 and 484?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 - 5*a - 1. What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 14*f + 149. Let m be i(7). Suppose -m*c = 6, -3*c - 33 = -o + 158. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from bjczttzj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*5\/((-15)\/(-2)). Let w = 4.9 - -1.5. Let g = -6 + w. What is the third biggest value in 1, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 117*p**2 + 2*p + 475. Does 10 divide b(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-77)*21\/36?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 3) to base 2\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/(m*m**(-6)))\/(m*m\/m**(-4\/5)*m*m**(1\/3)\/m)*(m\/(m**(1\/3)*m*m))**50*m**(-4)*m*m**(-4) assuming m is positive.\nAnswer: m**(-379\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 746, 838, 936, 1040, 1150, 1266?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(612) + 2 + sqrt(612)) - (-3 + sqrt(612) + 0)) + -5)*-4)**2 + 4.\nAnswer: 1152*sqrt(17) + 88196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + f - 2387 = -3*f, 966 = 2*n - 4*f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/2)\/(n*n**(-1\/11))*(n\/(n*n*(n\/n**(-1\/2))\/n)*n)**5 assuming n is positive.\nAnswer: n**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. Let h = l - -1. Let x(c) = 0 + 0*c - 3*c + h*c + 6. Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z + 10. What is the fourth smallest value in -0.4, -1\/23, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osso when four letters picked without replacement from sosoossooo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56937300 rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1679 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 + 6. Let u(j) = -j**2 + 6*j - 1. Suppose -l + 2*l - 7 = 0. Let r be u(l). Give b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(1 - z - 1)*(5*z**4 + 11*z**4 - 5*z**4).\nAnswer: 22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 145*h - 4.\nAnswer: -145*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 253, 491, 823, 1249, 1769?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 times -523792?\nAnswer: 365606816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1148\/169, -0.8, -1.3, 4\/7 in increasing order.\nAnswer: -1.3, -0.8, 4\/7, 1148\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3574445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 219*t - 65. Let j be o(-31). Let l = 0 - 0. Suppose 2*n + 8 = -w, 5*n + 22 = -l*w - 3*w. Put n, 1, j in increasing order.\nAnswer: j, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/9 - 92*i**2\/9 + 1058*i\/9 = 0 for i.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103715\/7 - 14816. Which is bigger: c or 1587?\nAnswer: 1587","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2226 = -172*g + 6182 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w + 5*c - 755, -785 = -5*w + c. Calculate the highest common factor of w and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -384*o - 1 + 3 - 72*o - 302*o as f*o + n and give f.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 45. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2037*b*j**2 + 6*b*j + 15*b wrt j.\nAnswer: -4074*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112933?\nAnswer: 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*p + 59938, -c - 1433 + 13417 = -p. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 43. What is the nearest to g in 6, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 63*j - 3954 = 0. What are the prime factors of j?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 6.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 269 = 2619*q - 2607*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 455, 478, 503, 530, 559, 590, 623?\n\"Answer: w**2 + 20*w + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**2 + 5*v**2)*(3*v - 2*v + v)*(-2*v**2 + 5*v**2 + v**2).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 6*s**2 + 7*s + 9. Let p be u(-7). Suppose -p = 4*i - 29. Suppose -m - 4 = -i*h - 3*m, 5*m = -h - 13. Solve -h*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1438\/12217?\nAnswer: -1438\/12217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-12)*18\/(-4)*4. Suppose -f = -n*z - 15, f - 19 = 4*z - 0. Is z\/(-8)*(5365 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3 - 64 + 64 + 5*g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 2. Let z(m) = -1090*m**2 - 436*m - 872. What is -436*i(o) - z(o)?\nAnswer: 1090*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 28*o**2\/3 + 511*o\/3 - 902\/3.\nAnswer: -(o - 11)*(o - 2)*(o + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 372*j + 856. Let n be i(72). Let x(m) = -2*m - 1. What is x(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 52*u**2 + 9*u + 26. What is the remainder when d(13) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1277, 2546, 3815, 5084?\n\"Answer: 1269*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174767012283 less than -0.5?\nAnswer: 1174767012282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-8.29\nAnswer: 4.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**5\/60 - y**4\/24 + 4*y**3\/3 - 69*y**2 + y. What is z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x**2 + x. Let a be d(1). Let f = -13 - a. What is the common denominator of 25\/6 and (-4)\/18 - 58\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**3*q**2*w + 188*c**3*q*s**3*w**2 - 2*c**2*q**2*w - 20*c*q**2*s**3 - c*q*s**3*w**2 + 3*c*q*s**3*w + 17*q*s*w**2 wrt c?\nAnswer: 270*q**2*w + 1128*q*s**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2.08. Let p = g - 0.37. Let s = 0.15 - p. Which is the nearest to s? (a) 1 (b) 1\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*u + 18 = -4*u, 5*b - 2*u = 30. Suppose -150 = 16*o - b*o. Which is bigger: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 90 = 5*b - 3*b, 2*h + 25970 = -3*b + 26030 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**0\/m))\/m)**(1\/16)\/(m*m*m**(-2\/5))**40 assuming m is positive.\nAnswer: m**(-1023\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, 4*u - 100 = 5*o + 4. Calculate the common denominator of -47\/4 and 1\/(1\/3) - u\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 1. Let n be p(1). Let t(w) = w**2 - 5*w - 4. Let k be t(n). Let j = k + 13. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/80 - 42\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419176 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -37*a**8\/24 + 121*a**4\/24 - a**3\/6 + 4*a**2 - 3. Find the second derivative of r(f) wrt f.\nAnswer: -10360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -14*l**2 + 29*l - 131. Let x(u) = -5*u**2 + 14*u - 65. Let g(d) = -2*o(d) + 5*x(d). Solve g(t) = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 44 = -5*w. Let g = 26 - w. Let i(j) = 11*j - 9. Let n(f) = 5*f - 4. Let p(s) = -4*i(s) + 9*n(s). Determine p(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - b + 786. Suppose a + b = 4*w, w - a = -2*w + 97. Suppose 33*x = 31*x + w. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 4*x, -5*k - 2*x = 102. Is (-15)\/k - 17\/(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6090912184 + 14.\nAnswer: 14.6090912184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7272*x + 65105 - 16635 = 4851*x - 72760 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 22*f**2 - 68*f\/3.\nAnswer: 2*f*(f - 34)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 20*k - 92. Let t be b(-8). Suppose 3*i = -4*p + 2*i + 7279998, -t*p + 7280002 = -i. What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2052\/5*z + 263169\/5*z**2 + 4\/5.\nAnswer: (513*z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11*(-1)\/6 - (-41 - -9)\/192. Let z(i) be the second derivative of -1\/42*i**4 + 0*i**k + 0*i**3 - 1\/35*i**5 + 0 - 1\/105*i**6 + i. Factor z(q).\nAnswer: -2*q**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, g: 5, z: 2, f: 5, v: 1}. Give prob of sequence zv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a + 2. Let m be i(3). Let s = -27 - m. Put -3, s, 0 in increasing order.\nAnswer: s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 452355*c**3 - 2*c**2 - 7498*c wrt c.\nAnswer: 2714130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/4 + 10119*h**4\/2 - 131676*h**3 + 810488*h**2 - 1459008*h = 0. Calculate h.\nAnswer: -20264, 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.929502 centimeters?\nAnswer: 89295020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2254 - -2258. Let p(u) = u**2 - 3*u - 2. Let b be p(4). Differentiate -8 - 13*f**t - b*f**3 + 35 + 2*f**3 with respect to f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776348 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-11) + (-53022)\/(-11). Suppose -4*q = -f - 19289, r = q + 5*f - 3*f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 401 - 398. Suppose -7*d = -3*d - k + 88002, -d - x*k = 21994. Round d to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1425115, 4, 0 in descending order.\nAnswer: 1425115, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7299.942 years?\nAnswer: 72.99942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 6*u + 6. Let j(f) = f + 1. Let k(x) = -x**3 + 5*x**2 - 2*x + 5. Let p be k(5). Suppose 46*d + 18*d - 2130 = -7*d. Determine d*j(l) + p*s(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*q + 28 = 0, -3*a - 34 = -26*q + 28*q for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2234 (base 8) to base 12\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*q + 475*q - 7 + 7.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 5. Let u(n) = -n**2 + 2*n - 6. Let s = -257 - -253. Give s*w(l) + 3*u(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-31)*v**(-40)*v**(-4)\/v**(-8\/5))**20 assuming v is positive.\nAnswer: v**(-1468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/95*2\/3. Let q = m - 25\/57. What is the smallest value in 4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from lqqlebaqblqc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:16 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 157 - 47. Suppose 13*a - 5*a - 16 = 0. Suppose -y = -8*i + 3*i - 5*p, i = -a*p + 6. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 18 = j, 0 = -l + j + 3*j - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22643*z + 21951*z + 10380 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(1 - 4 - 1) - 2 - 4 + 4)*((-6*f**2 - 13*f**2 + 7*f**2)*(0*f + 0*f - 2*f**2) + 4*f**3 - 5*f**3 - 2*f**4 + 2*f**3).\nAnswer: 132*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21b6 + 2083?\nAnswer: 4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -11*v + 52783731. Is 8\/(-10) + (v\/(-35))\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63216895 divided by 5.\nAnswer: 12643379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14341 - -34115?\nAnswer: 51456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 3*d + 13 = h, 0 = -h - 5*d + 17 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*i - 2, 3*p + 0*p + i = 7. Let s(u) = -u - 2. Let y be s(-5). What is the third derivative of -4*g**y + 2*g**2 + g**p + g**3 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 137*q**2 + 1267*q - 409. Calculate s(-127).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from lxthhdxmhlmhmlllll?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.1, 1051, -38?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5708, -5710, -5712, -5714, -5716?\n\"Answer: -2*f - 5706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/12 + 0)*21. Let v(b) = b**3 + 7*b**2 + b + 10. Let d be v(x). Solve 3*p - d = 6*p + 3*k, 2*p - 4 = -5*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 times -0.6?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d - 143*d - 2394 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257141 + 16?\nAnswer: -257123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001594022076 rounded to 7 decimal places?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - t - 67. Determine w(0).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 1875, -3, -2, -7.\nAnswer: -7, -3, -2, 1, 4, 1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Suppose 5*z - 67 = 113. Suppose -3*o - o + z = 0. Let p(f) = -o*f**2 + 5*f**2 + 2 - 2. What is r(p(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3276554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c**2 + 5*c - 3. Let r be i(0). What is the least common multiple of (-2)\/(-2) - (5 + -18) and (r - 6\/(-3))*(-9 + -7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -10826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/45, -2, 5, 9?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-1) + (2 + -1 - 0). Suppose w*y - 131 = 3*y + r, -3*y + 111 = 3*r. What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*n + 3*n - 129, -5*n = p - 37. Calculate the remainder when p is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 12\/7*w**3 - 9\/7*w**4 + 3\/7 + 6\/7*w**2 - 12\/7*w = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 - -5)*1\/(-2). Suppose q = -2*b - 11, 5*b - 18 = -4*q + l*q. Let c = q + 14. Calculate the lowest common multiple of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*10 + 1 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0*p**6 + 15*p + 0 - 3\/7*p**7 + 0*p**2 + 0*p**5 + 0*p**4 + 13\/6*p**3. What is the second derivative of j(y) wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -1221.\nAnswer: -116\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 25 = 5*v, -47*v = -4*x - 55*v + 32 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/4 of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153165166 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 - 101. Let z = 133.99939 - u. What is z rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whg when three letters picked without replacement from qwtlhwwhtwhtqqtgg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1756755 or 1756753?\nAnswer: 1756755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4987 + 7173 = -8*x. Let f = 3667 + x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Put 1\/2, -7, x in descending order.\nAnswer: x, 1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242476122 by 1534659.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/18*9\/(-2). Let b(d) = d**3 + 6*d**2 - 2*d - 6. Let q be b(a). Suppose -26 = -5*m - q. Put 1, m, -4 in decreasing order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32860.\nAnswer: 98580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 3*d**2 + 3*d**2 + (56*d**3 - 48*d**3 - 40*d**3)*(3*d + d - 3*d) as m*d**2 + k + o*d + a*d**4 + c*d**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 1881?\nAnswer: 35\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/18, 1, 140\/61, -2\/13, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6600, 6601, 6602, 6603?\nAnswer: 6604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/63 + -38\/63. Let r = -11 - 4. Let q be -1*2*r\/(-6). Which is the nearest to -0.1? (a) q (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -52.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2042347, -4084672, -6126997, -8169322?\nAnswer: -10211647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from bmabbbssa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10414342000 - 4?\nAnswer: -10414342004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**6\/10 + t**5\/20 - t**4\/6 - 8*t**3\/3 + 22*t**2. Let o be r(-8). Is o\/(-70) - (-2)\/((-10)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-16\/5))\/((j\/j**37)\/j) assuming j is positive.\nAnswer: j**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10264095 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i + 2. Let p be c(2). Suppose -36*a = -p*a. Determine s, given that -1\/3*s**4 + 2\/3*s + a*s**3 + s**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/13791 + -4595\/13791. Which is the closest to 19? (a) y (b) -0.4 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2464 - 1134. Let d = h + -657. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 287839.772 to the nearest 1000.\nAnswer: 288000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.83?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -36, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9999 is divided by 4003.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -58132 (base 11) in base 8?\nAnswer: -244051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -68*l + 75*l. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 - (19 + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 300*2463*12\/18. Round l to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2376 and 1584.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 7}. Give prob of picking 3 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 44 (b) 171 (c) -1\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*n + (1 + 0 + 0)*(-10 + 35*n + 10).\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 0*o)*(3*o - 8*o + 3*o)*(905 + 856 - 2115).\nAnswer: -1416*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 97 = 1191*f - 1189*f, -2*f - 13 = -z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1738*u = -875*u - 872*u + 18. Let l be 2\/8 + (-51)\/12. Let v(s) = -2*s - 4. Let t be v(l). Solve u*f - t*q = -12, -q + 14 = 3*f + 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Let t be z\/(-2*(-3)\/(-12)). Let p(o) = o**3 + 5*o**2 - 5*o + 8. Calculate p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {v: 4, z: 1, k: 2, o: 3, l: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -63. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59949054 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175)*2 - sqrt(175)) + sqrt(175))\/sqrt(5))\/(sqrt(7) + (sqrt(1372)\/sqrt(4) - sqrt(7)) + sqrt(7)) + -4.\nAnswer: -4 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(-3 - -3). Suppose -k - 48 = -i. Let c = k - -67. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(8\/(32\/6))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 5 + (-3 - 0 - (-80 + 83))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115428461?\nAnswer: 89, 1296949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/12)*f)\/((f\/((f**0*f)\/f))\/f) assuming f is positive.\nAnswer: f**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 543*b - 6*b**2 - 546*b. Let o(r) = -3*r + 3*r - 2*r + 4*r. Determine o(q(v)).\nAnswer: -16*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(1\/3)*z)\/z)\/((z\/(z*z*z**(-1\/3)))\/z*z))\/(z*z**(2\/7))**8)**(-8) assuming z is positive.\nAnswer: z**(408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvnv when four letters picked without replacement from vvrvrnvnvvv?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-3)\/sqrt(5) + -4 - (-1*sqrt(700)*4 + (2*sqrt(700) + 4)**2).\nAnswer: -2820 - 129*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53278 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 28*i. Suppose i = 4*n - 3*x + 7*x - 4552, 15 = 5*x. Suppose -q + n = 4*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12691404 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 1. Let s be 1030\/(-15)*(2 + (-28)\/8). Suppose -3*t = -32 - s. Let z be (t\/4)\/9*-4. Give r(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(1134\/279 - 4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485351520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -193\/5. Which is the third smallest value? (a) j (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65183471 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-26)\/(h\/h**44*h*h*h) assuming h is positive.\nAnswer: h**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 384*k**2 - 6*k + 5. Let s(x) = -1537*x**2 + 27*x - 21. Calculate 9*m(i) + 2*s(i).\nAnswer: 382*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Suppose -3*w - 4*w = -28. Let i(m) = w*m + 991 - 991. Determine i(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, -2, 5 in decreasing order.\nAnswer: 5, -2, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, u: 3, m: 2, n: 7}. What is prob of picking 2 u and 2 n?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4502226, 9004398, 13506570, 18008742?\nAnswer: 22510914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -1 - (0 - 1). Let s = -943 - -1967\/2. What is the common denominator of (-58)\/3*o\/16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -685*u + 688*u + 6, 3*u = -b - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - q + 44. Let m be k(7). Let d = m + -139. Let h = -103\/4 - -26. Sort d, h, -0.6 in decreasing order.\nAnswer: h, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19173769?\nAnswer: 19173769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwyy when four letters picked without replacement from wyhywun?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6332, 12666, 19000, 25334, 31668?\nAnswer: 38002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91555 is divided by 274?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 1, h: 1, k: 3}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284.42 + 0.027.\nAnswer: -284.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 46916 in decreasing order.\nAnswer: 46916, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:48 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.7517 - -0.0517. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2\/5, -3, -2\/35, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 368. What is the second smallest value in c, 1\/2, 196?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49314268 is divided by 188?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (561\/(-66))\/((-2)\/12) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2\/11*w**2 + 30 - 76\/11*w = 0.\nAnswer: 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = -766 + 1641 - 707 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 19*l - 17. Let i(o) = -2*o**2 + 28*o + 26. Let s(u) = -5*i(u) - 8*v(u). Does 19 divide s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 < 3\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182630855.\nAnswer: 3, 5, 7, 41, 274711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 29*d**5\/20 - d**4\/12 + d**3\/2 + 4*d - 9. Let y be p(2). What is the greatest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, -1659, -6420, -15699, -31002, -53835?\nAnswer: -85704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.11233 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -1, -4, 3, -1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4+393.36653\nAnswer: 389.36653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 - 96. Suppose 81 = 5*k + 3*d, d = 3*k + 4*d - y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15793546.\nAnswer: 2, 7896773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5\/3 + 8090*m**4 + 1364968*m**3\/3 + 1722856*m**2 + 5071456*m\/3 = 0.\nAnswer: -52, -2, 0, 12191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*j + 5*j + 4*c, 0 = 3*j + c - 20. Suppose 5*u - 40 = 3*m, -j*u + 0*u - 5*m = 0. Let t = 0 + 7. Solve 3 = -u*y - t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/550572 and 99\/20.\nAnswer: 2752860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490801 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (5 + (-5 + 2 - 5))) + 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-12) - (-6)\/(-4). Let v(s) = 6*s**2 + 3. Suppose 79 = 7*a - 5. Calculate the remainder when v(m) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -21. Suppose 3*a - 879 - 160 = -4*p, p - 4*a - 255 = y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 8}. Give prob of sequence jvj.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 3}. What is prob of picking 1 v and 3 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-54)*4\/(-14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(153)*6 - sqrt(153) - sqrt(153)) + sqrt(153)) + sqrt(153) - 2*1*sqrt(153))\/(-5*-6*(sqrt(9) - sqrt(9)*3*-1)).\nAnswer: -13*sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5708 - -8778. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkfp when four letters picked without replacement from {k: 2, m: 1, o: 2, p: 2, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l + 111. Calculate w(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2 - o - 5 + 8 - 2. Let d be m(-2). Put d, -4, 4 in decreasing order.\nAnswer: d, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -10 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 19*i + 28*i - 13*i)*(-4*i + 2*i + 0*i) + (-2*i - 3*i + 6*i)*(i - 3*i + 3*i) to the form x*i**2 + a + r*i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 30*s + 31. Let q(z) = 16*z + 16. Let v(m) = 5*q(m) - 3*y(m). What is the least common multiple of 30 and v(-4)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/60 - 14*f**2. Let c(r) = -12*r. Give c(v(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1)*(-3*l**2 - 2*l**2 + 4*l**2).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/2 + -5. What is the nearest to 2 in -0.1, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let x(z) be the first derivative of -7*z**2\/2 - 2*z + 376. Determine 2*m(k) + x(k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n - 4. Let h be k(-20). Suppose 0*f - 4*a = -5*f + 334, 4*a - h = -2*f. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 0.021 (c) -6\/11 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-319) - (1206\/232)\/(405\/540)) + 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))*-4*2*3.\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*b - 662 = 0, 2*b = 3*b + 3. Let i = v - -455. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(891) + 3 + 5)**2 + 6*((4 + sqrt(11))*-5)**2*-2.\nAnswer: -2310*sqrt(11) - 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 14. Calculate c(15).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 57. Let l(p) = -21*p**2 + 4*p. Give l(s(w)).\nAnswer: -189*w**2 + 7194*w - 68457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23456 and -52.\nAnswer: -1219712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:07 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*g - g - 15, 3 = 4*g + b. Suppose g = 5*k + 2*m - 5, -14 = -k - 2*k + m. Is (-4)\/k*30\/(-20) - -119 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 59. Let a be o(6). List the prime factors of 175\/(-45)*a - 2\/(-9).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*n - 128851 = 834*n + 36875 for n.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430005, -860003, -1290001, -1719999, -2149997?\nAnswer: -2579995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 667718 and 235370595?\nAnswer: 470741190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158.05 - -158. Put -2\/3, u, 5, 3 in decreasing order.\nAnswer: 5, 3, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5213 - -423?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 23*f = -65. Let m = 26 - f. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 525*b**3 - 23 with respect to b.\nAnswer: 1575*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 + 301. Let z(t) = -t**3 + 6*t**2 - 4*t - 5. Determine z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 211?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:55 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193533*k**2 - 64504*k**2 - 64520*k**2 + 46*k - 64505*k**2.\nAnswer: 4*k**2 + 46*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.20467 years to millennia.\nAnswer: 0.04320467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 484*p**3 + 9*p**2 - 473*p + 1. Let v(o) = 121*o**3 + 2*o**2 - 118*o. Let i(a) = -2*l(a) + 9*v(a). What is the second derivative of i(z) wrt z?\nAnswer: 726*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2021 * 17\nAnswer: 34357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + -1838b?\nAnswer: -183a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v - 1. Let k be 1\/4 - (-102)\/(-24). Sort k, v, 0 in descending order.\nAnswer: 0, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14290 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24509 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*r**2*w**3 - 2*r**2 + 7*r + 15*w**4 - 4 wrt w?\nAnswer: -93*r**2*w**2 + 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let g(l) = 1924*l - 111. Let f(h) = 35*h - 2. Let n(q) = -2*q**2 - 5*q - 4. Let k be n(-2). Let i(b) = k*g(b) + 111*f(b). Calculate z(i(w)).\nAnswer: -74*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(((d*d**(-1)*d)\/d)\/d)))\/(d*d**(-1\/4)))\/(d*d**(-3\/7)*d**(1\/2)))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1426168, 1426170, 1426174, 1426180?\nAnswer: 1426188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o - 4. Let x(d) = -10*d - 3. What is 5*x(p) - 4*z(p)?\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 15 - (37 + -23). Let o(k) be the second derivative of a - 5*k + 1\/6*k**4 + 0*k**2 - 1\/6*k**3. Find the second derivative of o(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 87125 = -p + 39*i, 0 = 7*p + 4*i - 609943. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 101. Which is the second biggest value? (a) -2\/5 (b) g (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**3 - 2. Suppose -2*f + 4 = 2. Let h(k) be the third derivative of k**3\/6 - 71*k**2 - 27*k. Give f*z(m) + 2*h(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2102756 months in millennia?\nAnswer: 0.0001008563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127*j**3*o**3 + 5836*j**3 wrt o.\nAnswer: -381*j**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 + 2*l. Let n(x) = 14*x**2 - 4. Let z(d) = 310*d**2 - 90. Let m(p) = -90*n(p) + 4*z(p). What is j(m(o))?\nAnswer: 400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8660 divided by -1201?\nAnswer: -8660\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 2*n**4 + 9*n**4 + (0*n + 7*n + 5 - 9*n)*(-2*n**3 + 4*n**3 - n**3) to the form c*n**2 + x*n + u + p*n**3 + m*n**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/((-85)\/(-30)) - 4. Differentiate 3*a**2 - 37*a**3 - 12*a**3 + 12 + 22 - 2*a**c - 12*a**3 wrt a.\nAnswer: -183*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 18 = 141*j - 140*j, 4*j + 22 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39317 + -19146. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -200*p + 4589. What is h(19)?\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226407 divided by 5.\nAnswer: -226407\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 15. What is the remainder when 53 is divided by (144\/(-8))\/(-1*c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -3)*(-2)\/3. Suppose -o + p = 4*p + 22, -p = -x. Let y = o + 121. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 7*j**5\/60 + 5*j**4\/24 - 3*j**2. What is the second derivative of k(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 108.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*x + 2\/9*x**3 - 2\/9*x**2 + 2\/9.\nAnswer: 2*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(7 - 3 + 2)*(2 + 2*p - 2) + 3 + 3*p - 3 + 3*p - 3*p + p + (2 + 2 - 3)*(2*p - 5*p + p) to the form h*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*((sqrt(3) - (-1 + sqrt(363))) + sqrt(3) - (-2 + sqrt(6)\/sqrt(2)))**2 - -2*((sqrt(60)\/sqrt(5))\/sqrt(4))**2*-3).\nAnswer: -720*sqrt(3) + 3636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1119? (a) -21 (b) -10 (c) -0.1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 - 192 = 44*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6009223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giceibciieececciggec. What is prob of picking 2 c and 1 e?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/((2\/4)\/(25\/15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 95. Solve 3*w + 4*d + 9 = p, -17 = -5*w + d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.251, 4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 422902332 and 81.\nAnswer: 3806120988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12887.2 - 2564\nAnswer: -15451.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116086875 and 20625.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9*0.291.\nAnswer: 0.8439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 0 - 66*c.\nAnswer: -66*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 < -371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*z - 3*z - 18*z - 12*z**3 - 276*z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 7, 37, 87, 163, 271, 417?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, z: 3}. Give prob of picking 1 z and 3 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4053712 to the nearest integer?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -240, -293, -372, -489, -656, -885, -1188?\n\"Answer: -2*z**3 - z**2 - 36*z - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7162957 divided by -5.\nAnswer: -7162957\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*a = 2*a - 12, 5*a = -4*b + 15. Let m = 0.05 + 0.05. Put m, 0.5, b in descending order.\nAnswer: 0.5, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 315149, 629852, 944543, 1259216, 1573865, 1888484, 2203067, 2517608?\n\"Answer: -x**3 + 314710*x + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(751\/(-27036))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27678491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Let p = 2.5 - n. Let i be (-26)\/126 + 6\/14. Which is the closest to i? (a) 0 (b) -4\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-758 - -753) + -13 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*3\/(-6) - 2. Suppose 0 = -3*a + 3, 4*c - c - 3*a - 9 = j. Factor -2*z**4 + 0*z**4 + c*z**2 - 2*z**2.\nAnswer: -2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, u: 5, e: 1, x: 2, l: 3}. Give prob of picking 1 y and 2 u.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 11. Let p = 4 - -25. Calculate the remainder when p is divided by f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1289628390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 6*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5670\/(-36))\/(2618\/748)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r*(r\/(r\/(r**7*r*r)))\/r)\/((r*(r\/(r\/(r\/(r*r\/r**(-8)*r))*r*r)*r)\/r)\/r*r\/(r*r**(1\/6))*r))**(4\/11) assuming r is positive.\nAnswer: r**(170\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 7 (c) 4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 4, -0.5, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 - 2*j**2)*(-j**3 + 0*j**3 + 2*j**3) - 4 + 4 - j**5 + 2*j**4 - 2*j**4 + j**5 + (11*j**2 - 33*j + 33*j)*(16*j**3 - 47*j**3 + 62*j**3).\nAnswer: 343*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569 (base 11) in base 9?\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -20002112?\nAnswer: -20002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - 0.66. Let f = -1.3 + b. What is the third smallest value in f, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4491072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 6*u + 8. Let v = -11 + -3. Let m(f) = 2*f + 23. Let n be m(v). Calculate the least common multiple of 9 and r(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let u be h(5). Suppose w = -j + 22, 2*w = u*w - 2*j - 61. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 10. Let i be q(-6). Let m = -9 + i. Put m, 2, 3 in ascending order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -37. Let w = t + 31. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/2 - (-6)\/2. Let o(k) = 41*k - 15. Let q be o(-3). Let s be 2\/(-7) + q\/(-42). Solve -2*d + s*c = -u, -5*c - 2 = -3*d - 0*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186 is divided by 433?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -337631469 divided by -21\nAnswer: 16077689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1606.9192 + -1607. What is v rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 3*a**2 + a + 980. Calculate n(0).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259 or -1788?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101 (base 2) to base 8.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 0*x + 48. Let o = -0.1 - -0.3. Let w = -0.1 + o. Sort x, -0.2, w in decreasing order.\nAnswer: w, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvb when three letters picked without replacement from cvdvcvcbsvd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 4. Let h = -44 + 40. Let r be (-248)\/(-8 - h) + 4. Let d = r + -68. Let z(n) = n - 3. Determine d*u(j) - 3*z(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -18422508 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-6))\/2*10\/(-120)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/175, -5, -27, 2\/13 in increasing order.\nAnswer: -27, -5, -2\/175, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23c067 (base 14) to base 2\nAnswer: 100101010110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -0.373. Which is the third biggest value? (a) -2 (b) u (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 1393336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t + 1. Let v(h) = -5*h**2 + 6*h - 1. Let a(p) = -6*s(p) - v(p). Let d be ((-1)\/(-1) - 1)\/(-1). Calculate a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 36, -2, 3285, 6, 3.\nAnswer: -4, -2, 3, 6, 36, 3285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-90))\/((-10)\/175*-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*(z*z*z**(-5\/6))\/z*z)\/z)*z**(-6)*((z**(-2\/15)\/z)\/z)\/(z*z**(-2\/11)) assuming z is positive.\nAnswer: z**(-1003\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 4:42 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*l**3*r**3 - 2*l**3*r**2 + 8*l**2*r**2 - 2*l*r**2 - 3*r**3 wrt l?\nAnswer: -666*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - 488?\nAnswer: -4ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.2 (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 - 127052*v**4 - 2364543*v**3 - 9002686*v**2 + 20851180*v + 15257400 = 0. Calculate v.\nAnswer: -10, -3\/5, 2, 25429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213113*h**2 + 52*h.\nAnswer: -h*(213113*h - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 328 - 5?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10905 - 10905 + 4931*x**2.\nAnswer: 4931*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-2\/9))\/j**(1\/13))**(-2\/21) assuming j is positive.\nAnswer: j**(-632\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u**4\/11 - 2942*u**3\/11 + 42626*u**2\/11 - 76306*u\/11 + 3332 = 0.\nAnswer: -1666\/15, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 300 in -20, -5, -3\/5, -29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*k = 21, -3*k + 3 = 2*i + 2*i. Let w = 9 + i. Let b be (w + -7)*(-3)\/7. Do b and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j + 30. Suppose j - 144 = -3*h - g, -4*h - 2*g = -180. Calculate the greatest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j - 19. List the prime factors of f(10).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52635 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 196799, 393591, 590383, 787175, 983967, 1180759?\n\"Answer: 196792*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33*u**2. Let f(l) = 155*l - 76*l - 77*l. What is q(f(t))?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*y**2 + 44*y + 13*y - 320*y**2.\nAnswer: -522*y**2 + 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 78 - 120 = 16*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n - 23. Let s be p(4). Suppose 0 = 3*g + 3*h - 15, s - 2 = -5*h. Suppose g*u + 4*u = 252. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -302\/3. What is the third smallest value in -24, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428.7855 rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*i**5 - 4*i**4 + 392*i**2 + 686*i + 1059*i**5 + 44*i**4 - 252*i**3 - 2125*i**5 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/16)\/(22\/(-176))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let g(o) = -14*o**2. Let l(i) = 5*i**2. Suppose 0 = -5*t - 9 - 6, -y = -t - 7. Let p(u) = y*g(u) + 11*l(u). Give m(p(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1073601 divided by 6\nAnswer: -357867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -713.5395444 rounded to the nearest 10?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, x: 9, u: 1, q: 3, v: 2}. What is prob of sequence dpv?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**41\/(n*n**1*n**(-1\/6)))**(-1\/64) assuming n is positive.\nAnswer: n**(11\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, w: 2, e: 4, q: 2, p: 2}. Give prob of sequence wp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8711500, 8711494, 8711488, 8711482, 8711476?\n\"Answer: -6*t + 8711506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 628804 and 186?\nAnswer: 1886412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c. Let x be (-3 - -2)\/((-1)\/(-7)) + -11 + 21. Give b(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - t. Let h be l(2). Suppose 2*x - x - h = 0. Factor 8*y**3 + 4*y**2 - 17*y**2 - y**2 + 4*y + x.\nAnswer: 2*(y - 1)**2*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**3 + 5*n - n**2 - 1\/3*n**4 + 0. Let v(m) be the first derivative of f(m). Let i(r) = -2*r. Give i(v(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 5, 1, 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5 + 20465*i**4 - 1005507*i**3 - 6585485*i**2 - 10072594*i - 4513080 = 0.\nAnswer: -20514, -4, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*z + 97*z - 35 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from {x: 5, p: 1, m: 4, j: 2, t: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -1, 0, 65?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -3\/8812?\nAnswer: -3\/8812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*b - b**3 + 3727 + 3721 - 7447 to the form p + g*b + d*b**2 + u*b**3 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -60 * -0.78\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from yyeiyyiiyery?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - -10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*f + 172, -f + 5*f + 5*x = 220. Solve -12 = f*d - 56*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*l + 15, 2*l + 4*w - 10 = 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*l = 567*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, 0, 1.98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693832503?\nAnswer: 3, 7, 13, 67, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 3*z**2 + 34*z + 160\/3.\nAnswer: -(z - 16)*(z + 2)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328496888 - -206492888. What is m rounded to the nearest 1000000?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3203882.9 to the nearest ten thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/27*(-1381)\/102. Let o = 29\/51 + x. Find the common denominator of o and 1\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*d, -4*d + 4 = 2*s - 12. Find the second derivative of -2*b - 5*b**s + 8*b - 4*b**2 wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1474, -2949, -4424, -5899, -7374, -8849?\nAnswer: -10324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:22 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2156, -4310, -6464, -8618, -10772?\nAnswer: -12926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 44 = 74 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 7*z + 5. Let k be g(-5). Are k and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**4*j**2 + 5*b**4*j - 3943*b**3*j + 2875*b**2 - 3*j**2 wrt b?\nAnswer: 72*b*j**2 + 120*b*j - 23658*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 + 3. Let v(x) = -2*x + 499330. Calculate v(h(t)).\nAnswer: -14*t**2 + 499324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*q + 32*q + 224 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-116)\/57 - -2)\/((-39)\/(-234)). Let h = 0 - -1. Is h equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 10) in base 4?\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.7 + -2.7. Let s = -26 + f. What is the second smallest value in -0.5, -0.2, 1\/3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.415272 years to centuries.\nAnswer: 0.07415272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45182475 and 120042.\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15716160 divided by -3143232\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose 2 = t*o + 4. Is 2\/7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7036129*q + 3264 = -7036193*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 - -513?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0883 and -10457.\nAnswer: -923.3531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(405) + -1*((2*(3 + sqrt(5) + sqrt(5)) - sqrt(5)) + sqrt(5) + sqrt(5)) + -1)**2.\nAnswer: -64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -58105, 2553 in ascending order.\nAnswer: -58105, -4, 2553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2936 from -4.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 23282\nAnswer: 93128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 176 = -2*p - 2*m, -4*p + 346 = -2*m. Suppose 0 = x + p + 12. Let r = x - -114. Calculate the remainder when 41 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29220, -29364, -29532, -29736, -29988?\n\"Answer: -2*k**3 - 130*k - 29088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 18 in decreasing order.\nAnswer: 18, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let x be b(6). Let h be x\/(-21)*(-2)\/(-4). Factor 2\/7*k**2 + 0*k + 0 + h*k**3.\nAnswer: 2*k**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -3*n, 4*j + 2*n - 50 = 0. Sort -8, j, -12 in descending order.\nAnswer: j, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80213318?\nAnswer: 2, 43, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63108 * -1.\nAnswer: 63108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by -20.\nAnswer: 123\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {r: 1, a: 1, j: 1, f: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24446, -40799, -57150, -73499, -89846, -106191, -122534?\n\"Answer: l**2 - 16356*l - 8091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - 2*i**2 + i. Let y be k(1). Let n = y + 4. Suppose -61 = -3*c - n. What is the remainder when 32 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2. Suppose 0 = -15*s + 574 - 4. Let n(m) = s*m**2 - 17*m**2 - 13*m**2 - 14*m**2. What is n(f(y))?\nAnswer: -54*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*8\/168)\/(28\/(-490))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1057078 divided by -29\nAnswer: 1057078\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 233.399011 + -233.4. What is q rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 0, 2*h - 4*h + 4*h = -0*h + h - 5*y + 18 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k + 4*b + 956 = 0, -b - b = 22*k - 26*k - 58 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.772 + -65.772. Let i = 0 + 0. What is the closest to y in -4, i, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 16. What is the smallest common multiple of 9 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.58404 to two dps.\nAnswer: -17.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*i - 2272, -4*i + 5*i - r - 569 = 0. Suppose 3*w - 339 = -3*g, 4*w - i = -w - g. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14)*j)\/j*j\/(j**(5\/4)\/j)*(j**19)**(-2\/65))**38 assuming j is positive.\nAnswer: j**(-68343\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 364*s + 6 - 519*s.\nAnswer: -883*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*f + 4, 2*w - f - 3 = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1071 - 15827 = -5*k, 13502 = 4*k - 5*w. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*d - 2441, -5*d = -5*t + 133 + 2962. List the prime factors of t.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-7 - (-7 + 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 4*g**2 - 2*g**2. Let j(p) = 82*p**2 - 16. Let n(v) = 26*v**2 - 5. Let b(s) = 5*j(s) - 16*n(s). Give b(i(l)).\nAnswer: -54*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 17 = 5*p - 2*g, -4*p + 2*g = -16. Let l = -5 - -2. Let r be (-2)\/l + 38\/6. Solve 0 = -p*w - r - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1495 - -4.8505. Let h = 6 - 4. What is the biggest value in n, h, 0.31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 130 = -3*k. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5250 - 3403. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -62\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 2*i - 2*i**2 - 5 + 1 - 35*i + 21*i as o*i + z + l*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 744055729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-1679 - (6 - -2)). Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -2ba?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.02, -17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41448340.3 rounded to the nearest 100000?\nAnswer: 41400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-420)\/(-9))\/((-2)\/(-6)). What is the remainder when -2 - (-55 + (-2)\/2) is divided by (58\/(-10) - -7)\/(6\/g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14217 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Suppose 39*y - 6 = 45*y. Let i(l) = -4*l + 16. Let t(p) = y*i(p) + 5*j(p). Calculate t(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -479, 3, 2, 28 in descending order.\nAnswer: 28, 3, 2, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 7*x - 3. Suppose w = 20 - 14. What is the tens digit of h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*n - 16, 0 = 5*n + 1 - 21. Let s = 58.2 + -58. Which is the nearest to -1\/4? (a) s (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83c895 (base 13) to base 3.\nAnswer: 12210200021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151005 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1\/(-3)*(-15)\/(-5). Calculate the common denominator of ((-1155)\/(-567))\/(p\/(-6)) and 2\/4 - 195\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 7*s**4\/4 - 23*s + 18. Find the first derivative of y(v) wrt v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 340. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 16*q**2 - 15*q - 15. Suppose 313*g - 9*g = 4560. Give a(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20577784.5 hours in weeks?\nAnswer: 122486.8125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -353.\nAnswer: -3\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - l. Let g = 40 + -50. Let q(b) = 2*b + 19. Let s be q(g). Calculate j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864.82588 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(0 + -2 + 154). Suppose -3*f + 7*f - z = 0. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, e: 3, m: 1, j: 1, o: 6}. Give prob of picking 2 o and 1 e.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96 and -3\/8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, s: 2, m: 1, r: 1, d: 1}. What is prob of sequence df?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1715, 10, 0, 2 in decreasing order.\nAnswer: 10, 2, 0, -1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1384 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 (base 10) in base 14?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d + 1265. Let t(b) = -20*b - 3794. Let z(i) = -17*h(i) - 6*t(i). Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58029 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*v + 807 = -4*v, 4017 = 5*u + 4*v. Suppose 0 = 7*y - u - 259. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4026907 or 0?\nAnswer: -2\/4026907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 48900 = 5*l, 21*l + 48864 = 5*y + 25*l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 9*l - 9. Let f be z(-9). Let r be 2 - 2*68\/f. Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215 = 7*y - 647. What is the greatest common divisor of y and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -143.6. Let r = 12 - 14. Sort r, 1\/6, -5, m.\nAnswer: -5, r, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.4 + -15. Let b = 42.4 - 41.4. What is the closest to b in 3, 0.09, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 4, 5, 2 in ascending order.\nAnswer: -38, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, 50, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 + v - 1. Let b(w) = -3*w**3 + 2*w**2 + 3*w - 3. What is b(z) - 2*h(z)?\nAnswer: -z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*a + 11145 = 338*a - 2*i, 12 = 2*i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37293 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.4, 4, -0.4, -5, 621795\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 614514440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 3*t**2 - 3*t - 3. Let d be q(4). Suppose -37 = -3*h - 5*c, d = 4*h - c - 10. Solve h = 2*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930708 (base 10) to base 13.\nAnswer: 26781c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/99270 and 79\/1620?\nAnswer: 1786860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (13 - 28) - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -575, -4922, -16949, -40568, -79691?\nAnswer: -138230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Suppose 2*u = -3*x - 3, -2*u - 24 + 1 = -x. Let t be 1\/(-2) + u\/s. Solve -6 = -t*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2953782 rounded to two decimal places?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 7 - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*j = -93*j - 66*j + 298*j + 14448 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 9*r + 17. What is o(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by -5 + (-677)\/(-9) - 6\/27.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 211, 1806, 6151, 14620, 28587?\n\"Answer: 229*n**3 + n**2 - 11*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 2 = c, -4*b - 1 = c. Let q be (-2)\/(b + -1) + 1. Suppose -q*n = -4*r - 19, -14 = -r + 2*n - 5*n. Sort r, -2, 2 in descending order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ccca (base 13) to base 11.\nAnswer: -146734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*w*x - 4*s*w + 574*s*x - 2*s + 3*w*x - 2*w + x + 31 with respect to s.\nAnswer: w*x - 4*w + 574*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from yzfhvfmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = m, -2*m + 12*x - 9*x + 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 - w**3\/3 - 3*w**2\/2 - w. Let i(j) = j + 5. Let s be i(-4). Let o(v) = -2*v**2 + v - 1. Let h be o(s). Give c(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262635100 divided by 8060\nAnswer: 32585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -293334*q + 2. Suppose -5*b = 2*i - 9 + 28, 4*b = 2*i - 8. Let w be ((-3)\/i)\/((-3)\/(-6)). Let m be g(w). Round m to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 12*m - 7. Give j(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 9) in base 10?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 30. Suppose 0 = -4*s + 10 + 10. Suppose 93 = 2*r + s*w, -5*r - 4*w + 196 = -11. What is the smallest common multiple of r and h?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c5 - 141?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -995334, -995337, -995340, -995343, -995346, -995349?\nAnswer: -995352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mazvzlb. Give prob of sequence za.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Let c(r) = r**3 - 6*r**2 + 7*r - 7. Let d be c(s). Solve 4*n = k + 8, d*n = 7*n - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 - 7*b**3\/6 - 15*b**2 + 2*b + 52. Let x be d(15). What is the highest common factor of 54 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1770*t = -457*t - 3765*t - 66204 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 6:30 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -394, 0, -8, 4, 1, 2, 3 in descending order.\nAnswer: 4, 3, 2, 1, 0, -8, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 0. Let l be (-2 + 2 - h) + -2. Let f be (9\/(-12))\/(1\/1). Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/7 - 6*r**3\/7 - r**2\/7 + 6*r\/7 = 0 for r.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 53*a**2 - 545*a + 12. List the prime factors of i(38).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**7\/1155 - u**6\/660 + u**5\/55 + u**4\/33 - 8*u**3\/33 + 22*u**2 + 5*u. Determine n, given that f(n) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-62)\/1 + 0. Let r = c + -78. Calculate the highest common factor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(84)\/sqrt(7)*-1 + (5 + 0 + sqrt(3) - sqrt(15)\/(sqrt(10)\/sqrt(2))))*1*3)**2.\nAnswer: -132*sqrt(3) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 101 = -124. Let b be (-6)\/(-5) - 70\/n. Solve b*i - 3*j + 12 = -7*j, -j - 7 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/10 - p**2 + 5*p\/2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/29 in 2\/13, 224053, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17 - 41 = -2*m, -54 = -4*g + m. Let a(t) be the second derivative of -7\/2*t**2 - 1\/12*t**4 + 4\/3*t**3 + g*t + 0. Suppose a(b) = 0. What is b?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315262 (base 7) to base 2.\nAnswer: 1101010110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -z + 188000, -z = -4*g + 138350 + 49650. Round g to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*i = -172*i - 21804. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1134\/43, -149, 6?\nAnswer: 1134\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531660 and 160?\nAnswer: 4253280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 14. Let w = -4.1 + -0.9. Let u = w - -18. Put u, -1, y in ascending order.\nAnswer: y, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g + 2\/3*g**4 + 0*g**3 + 0 + 2\/15*g**5 - 15*g**2. Find the second derivative of i(p) wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -38. Let d = 11.25 - 0.25. Let q = d - y. Which is the second biggest value? (a) -2 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/5 + 28*i**4\/5 - 62*i**3\/5 + 32*i**2\/5 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/(sqrt(6)\/sqrt(48)) + 5 + 0 + 0 + sqrt(2))*1)**2.\nAnswer: 50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l**(10\/9)\/l)\/l)\/l)**41 assuming l is positive.\nAnswer: l**(-328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-3 - 6) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2246249586 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((31 + -3)\/(-2))\/(1 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 280 = 4*g, 5*g + 638 = 4*u - 0*u. Let t = -1 + 15. Calculate the remainder when u is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*q + 6*h - 4*h, -3 = q - 3*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73097 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: Expand (-v**3 + v**3 + v**5 + v - v - 2*v**5 + (-4*v**3 - v**3 + 3*v**3)*(1 - 2*v**2 - 1))*(0 + 5 - 1).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -15, -27, -43?\n\"Answer: -2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 1, 2\/5, -2, -283.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 14 + 21. What is the derivative of 3*t - y + 5*t - 2*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 12. Let n be (-2 - -2 - -1) + h. What is the second biggest value in n, -1\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5))**(12\/5)\/((k**(1\/2)*k*k)\/(k**4\/k)) assuming k is positive.\nAnswer: k**(49\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*d - 28918, -2821 = -f - d + 11624. What are the prime factors of f?\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2184 times -291\nAnswer: 635544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1144, -986, -830, -682, -548, -434, -346?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let n(d) = -d. Let p be 16\/(-2)*(-12)\/(-24). What is p*n(g) - u(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 150 - 121*m + 0*m**3 - 2*m**4 + 0*m**2 + 12\/5*m**5. What is the first derivative of q(s) wrt s?\nAnswer: 48*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2316, 3, 3866 in decreasing order.\nAnswer: 3866, 3, -2316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 46*t = 38*t. Which is bigger: 8\/31 or t?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 150. Suppose -2829 = -d - 2*s + 2424, -4*d = -t*s - 21064. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 53*h**3 - 5*h**2 + 5*h + 5. Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.23997 rounded to 3 dps?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1635144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-28704)\/(-180))\/(-13).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 950183215*u**5 + u**2 + 104918*u + 313?\nAnswer: 57010992900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 116, 6, 64 in increasing order.\nAnswer: -4, 0, 6, 64, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/(-162)*(-5427)\/804*30\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*d = 837531, -3*v - 3*d + 8*d + 502511 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719*a**2*j**2 + 4*a**2*j + 8562*a*j**2 - 23*a*j - 105098*a wrt j?\nAnswer: -1438*a**2 + 17124*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.87 + 0.13. Let o = 12 - p. Let a = -35 - -51. Sort 0, o, a in descending order.\nAnswer: a, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1583*s = 12137*s + 3759*s + 482128 + 1206806 for s.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfy when three letters picked without replacement from {t: 1, q: 2, u: 3, y: 1, f: 5, g: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6386, 6397, 6408?\n\"Answer: 11*n + 6375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 6 - ((-612)\/20 + 210\/(-150)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, x: 4}. What is prob of picking 2 l?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 34875?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.69 - -0.02?\nAnswer: -14.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15168)\/(-16830) + (-11320)\/12452.\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420075278 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -x - 3*x + 379, 3*s + 86 = x. Let o be 2\/(-11) - x\/(-11). Factor 5*g + g**4 + 3*g**3 + g**2 - o*g - g**2.\nAnswer: g*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79916.\nAnswer: 2, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 63117.\nAnswer: -4\/63117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 1662*t**2 - 3. Let n(q) = -4*q**3 - 2223*q**2 - 4. Give -13*h(d) + 10*n(d).\nAnswer: -d**3 - 624*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 8. Let c(s) = s + 4. Let b(t) = 5*c(t) + 2*d(t). Let n be b(3). Is n not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*m + 651 = 0, 100*m - 99*m + 693 = z. Suppose w - 2*x - 4 = 0, -2*w = -w - 4*x - 8. Does 9 divide w + (7\/(-14) - z\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(0*m + 4*m + m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50340 and 33?\nAnswer: 553740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:32 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/4 + 2 - 6. Which is the second biggest value? (a) 0.4 (b) -22 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 17*v**2 + 12*v - 33. Let w = 227 + -210. What is the units digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 3*k**3 + 2*k**2 + (2*k - 2*k + 2*k**2)*(-k + 0*k + 2*k) + 5164*k**2 - 19 - 5162*k**2 - k**3 + 64 - 3*k.\nAnswer: -2*k**3 + 2*k**2 - 3*k + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 489 * 805894\nAnswer: 394082166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31310 (base 4) to base 5.\nAnswer: 12014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 1546483*g - 2391609669289.\nAnswer: -(g + 3092966)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 2. Let b(o) = -13*o + 29. Let c(m) = -b(m) - 5*d(m). Find the first derivative of c(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r = 24*r + 620 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-15)*-1 - (-160)\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-20) - -23*(-10)\/460?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) - 5*sqrt(84)))\/(sqrt(12) + -6*sqrt(12)*-5 + sqrt(12)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.652 - -28.966. Let v = 20.2 - y. What is v rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14833*x**3 - 935*x**2 + 2*x + 5 wrt x?\nAnswer: 88998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 296, 635, 1102?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -19*h**7\/840 + h**6\/180 + h**5\/120 - 110*h**3\/3 - 258. Let j(d) be the third derivative of x(d). Calculate j(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*f + 208, -m - 2*f = f - 52. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 11*u = 54. Let j(r) be the first derivative of 35\/6*r**3 + 2*r + 5 + 11\/2*r**u + 25\/16*r**4. Find m, given that j(m) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39602 is divided by 1971.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 7706.\nAnswer: -7\/7706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1101 + -1092. Solve 3*f + 4*a + 4 = 10, 3*f - a = -h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7413169, 14826342, 22239517, 29652694?\n\"Answer: g**2 + 7413170*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 423206 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:06 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 94, 137, 180, 223, 266?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 3\/4, 5, 26, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/45*((-8549)\/1030 + (-6)\/(-20)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2. Let h(o) = o**2 - o + 1. Let j(x) = -x + 1. Let w(m) = -m**3 - m**2 + 2*m + 1. Let f be w(-2). Let r(i) = f*h(i) - j(i). Determine r(d(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 - u**2 - 2*u - 6. Let q be g(-2). Let d be q\/3 + 120\/45. Calculate the greatest common factor of d and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -13. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -21*b**2 + 7*b + 0*b**2 - 8 + 2*b**2 - 6*b**2. Let h(v) = -8*v**2 + 2*v - 3. Let y(o) = -2*a(o) + 7*h(o). Differentiate y(w) with respect to w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403403332 (base 5) to base 16\nAnswer: -18c146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*k - 38 = -277*k + 6 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*k**2 + 4 - 20*k**2 - 11*k - 17*k**2 + 9 - 12 + 65*k**3 in the form t*k**3 + b*k + f + p*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + l)*(2 - 3 - 2) + 3*l + 3*l + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z + 4718 + 13142 = 1053*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 27 = 53. Let a = l + -12. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*l + 350*l - 462 = -343*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -24. Suppose k + 7 = -3*f - 7, -5 = f. Let t = 0.4 + -0.3. Which is the closest to t? (a) 2\/5 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -262235, -262158, -262085, -262016, -261951, -261890?\n\"Answer: -2*b**2 + 83*b - 262316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 15006*r**3 + 18704883*r**2 + 150360120*r + 301201200 = 0.\nAnswer: -4, 2505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1488 = -134. Round k to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 26*d + 142. Let z(k) = -78*k - 424. Let l(j) = -7*b(j) - 2*z(j). What is the hundreds digit of l(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 3 = 0. Suppose 0 = -g - j - 3. Let f(m) = -4*m - 1. Let t(z) = 3*z + 4. Let u(o) = -2*o - 3. Let w(b) = -3*t(b) - 4*u(b). Give g*w(c) + 2*f(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/3 - (-4)\/(-6). Let m be (0 - 20\/(-6)) + 18\/(-54). Let z(y) = y**2 + 3*y - 2. Let a(p) = 4*p**2 + 10*p - 6. Give i*z(g) + m*a(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 p when three letters picked without replacement from {o: 3, a: 1, m: 8, p: 6}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38227, -76457, -114687, -152917?\n\"Answer: -38230*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/18*s**4 - 4\/9*s**2 - 16\/9*s + 4\/27*s**3 + 43. Find t, given that n(t) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62157*o - 16872 = -61701*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 1 - (sqrt(5)*2 + -5)) + -5)**2.\nAnswer: 14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 97293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051670172 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*x + 6 + 12, 546*c + 3*x + 42 = 274*c + 271*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -33, -49, -63, -75, -85?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1429 (base 12) to base 13\nAnswer: -10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002164399878 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*155297110\nAnswer: -155297110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -526428.2 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1261986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 30. Let t = 0.16 - 32.16. Let r = t - k. What is the nearest to r in 0.03, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 19, 0.06, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -101390970 at least -101390971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i - 32*i + 5 + 48*i - 146*i.\nAnswer: -149*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.26? (a) -1 (b) 0.0047 (c) -5\/4 (d) 1\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h = 99*h - 205*h - 54 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(-32 - 6419\/(-147)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.3 take away 2.011149?\nAnswer: 995.288851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 239750484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20 + 3\/((-12)\/16) - 4. Let b = -24 + 50. Let x = m + b. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 0.1 (b) 2 (c) -0.4 (d) 79\/16 (e) -3 (f) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -1 (b) 0.8 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219321?\nAnswer: 3, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -201, -312, -423, -534, -645, -756?\n\"Answer: -111*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {r: 5, i: 8, q: 5}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose -v*l + 18 = -4*j + 2, -20 = 5*j. Let i be l + (-4 - (-5 + 1)). Solve 0 = -5*w + 2*d - 1, 5*d + 11 = -w - i*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*64*(5\/12)\/((-4070)\/2442)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/24*(-135)\/(-20)*-4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, q: 2}. Give prob of sequence qsm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l - 2. Let x be n(1). Is 2\/(x - 1056\/(-1052)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = -2*x - b, 0 = 3*x + 4*b - 0*b - 1153. Suppose 2*o - x = 3. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 - 4*y**2 + 18*y - 6. Let f be r(7). Let c = f + 4602. Let x = 3024 - c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luvvuuvvvuvllulluvuu. Give prob of picking 3 v.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 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: What is the greatest common factor of 9 and 101571966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-82)*9\/24*10\/1170*-26.\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.018 + 492.018. Let f = v + -496. Which is the biggest value? (a) 26\/5 (b) 1\/8 (c) 0 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 0*d + 5*d)*(229 + 43*d - 229) in the form g*d + k*d**2 + v and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.4. Suppose -4*n - 4 = -5*a, 0 = -4*a + 2*a + 2*n + 2. Let u = 24 - 24.4. What is the third biggest value in j, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83012967, 4, 0, -2, -1 in descending order.\nAnswer: 83012967, 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1853 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 2*n**2 - 2*n. Let m(q) = -800*q**3 + 640*q**2 + 640*q. What is m(w) + 320*u(w)?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/14 + -6)\/(6\/28). Solve 0 = y + 2*u + 10, 0 = c*y + 3*u - 7*u - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 2*d + d**2 + 7*d + 4 + 0*d**2. Let j be c(-3). Suppose 3*z - 172 = -j. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.05, 14, 647 in increasing order.\nAnswer: -0.05, 2\/19, 14, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*c - 20, 5*u + 24 - 17 = c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1.484?\nAnswer: 1.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 223627347 and 223627347 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/7)\/(270\/(-63))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {k: 9, g: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7 + 8 = 0. Let a = 129336 + -129334. Solve -w*q + 4*d = 17, 0 = a*q + d - 5*d + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 265 - 177. Let h = -6 + 14. Calculate the greatest common divisor of h and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 5, s: 8}. Give prob of picking 1 s and 1 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) 90 (c) 0.0059 (d) -2\/9 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/18 - -2\/9. Let m be (3 - (-20)\/(-8)) + (39\/(-14))\/13. Which is the closest to l? (a) -2 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 - 291. Suppose -324 = -v*u + 56. What is the highest common factor of 76 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -8, 2 in ascending order.\nAnswer: -82, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -1 + 13. Suppose -44 = -4*f + 3*t, -z*f + 7 = -t - 45. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -36. Let z = -4 + 6. Factor -3 - 12*c + 3*c**z + a*c + c**3 + 2*c**3 + 0*c**2.\nAnswer: 3*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160 (base 13) to base 14.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/15)*m\/(m*m**(-2\/11)\/m*m))\/((m**(-2\/11)\/m*m)\/m*m)**(-33))**50 assuming m is positive.\nAnswer: m**(-9490\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 457, 483, 557, 703, 945, 1307, 1813?\n\"Answer: 4*s**3 - 2*s + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mcmmmmcmccmmmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -14 + 16 + (2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 106409?\nAnswer: 31922.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -3 (c) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**4 + 2*n**4)*(-1 + 0 + 0)*(6 - 18 + 3).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 61, 112, 195, 316, 481, 696?\n\"Answer: k**3 + 7*k**2 - 3*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1713733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, a: 1, m: 1}. Give prob of sequence bb.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*g + 19, 0 = -0*g + 3*g. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 2, y: 4, b: 1, r: 10}. What is prob of sequence qby?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z**2 - 2*z - 4 + 7*z + 6 + 3. Let h be n(5). Calculate the common denominator of 74\/9 and (-536)\/h - (-3)\/15.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/79 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -728*a + 64. Let z(j) = 25*j - 2. Calculate -6*g(f) - 176*z(f).\nAnswer: -32*f - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 4. Is d(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 20*s + 15. What is the least common multiple of 51 and w(-20)?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 33*y**2 + 592*y - 37. Let v be z(-18). Which is smaller: -5\/2046 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 128. Suppose y + 4*i = -40, 0 = 2*y + 3*y + 2*i + p. Let v(j) = -2*j - 16. Let b be v(4). Are b and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16482191641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 744.1457 litres?\nAnswer: 744145.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -2*w**3\/3 + 15*w**2 - 3*w - 11. Let f be q(-11). What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*h - 1170 = 28*h - 35*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9651016?\nAnswer: 2, 1206377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) + (-260)\/(-50). Let o(i) = -4*i - 9 - 4*i + 4*i + n*i. Let k be o(9). Solve 5*c - 2*q + k*q = -21, 3 = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -966*u**3 - 2*u**2 + 48*u. Let n(t) = 387*t**3 + t**2 - 20*t. Give -12*n(c) - 5*v(c).\nAnswer: 186*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 7169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 70, 145, 250?\n\"Answer: 15*m**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -26. Let t(q) = q**2 + q + 5. Let j be t(m). Suppose 4*g = -w - 0*g - 6, -j*w + 5*g = -95. Solve -r + 2*v - 5 = -14, -4*r + w = 3*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*j**3 - 814 - 4*j**2 + 4*j**2 + 18*j - 188*j**3 + 269*j**3 wrt j.\nAnswer: 567*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19186406 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543494.2 hours to milliseconds.\nAnswer: 1956579120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3375*k + 2*k**3 - 733*k - 433*k - 11*k to the form j + i*k + q*k**2 + w*k**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + m**2 - 2*m**2. Let j(u) be the first derivative of -2 + 0*u + 0*u**2 + 2\/3*u**3. Determine s(j(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2622028861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-4)\/18)\/(3\/((-324)\/28)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + a + 43 = 0, 3*s - 25 = -s - 5*a. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 0 (c) -5 (d) 1174 (e) 77 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2675673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 44*u**2 - u - 26. Calculate the least common multiple of (-3 + 12\/8)*-2 and l(-44).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 3*k**3 - 280.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -373, -545, -709, -865, -1013, -1153?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/3)\/(-1)*6\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 - 3 = 0. Let y(m) = -m**2 - 10*m - 7. Let p be y(-9). Let k(i) = 4*i**p - i - 3*i**2 + 0 - i**3 - a. Determine k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/(-135)*1\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let a be 664\/16 + ((-3)\/2)\/3. Differentiate 11 - a*c**s + 48*c**3 - 26*c**3 wrt c.\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -40*k + 6021. List the prime factors of c(0).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 272 - 64. Let k = 58 + s. Solve 2 + 6 = -k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let i(w) = -33*w**2 - 161*w - 2. Determine s(i(z)).\nAnswer: 66*z**2 + 322*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 133, -1, -3, 1 in descending order.\nAnswer: 133, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.494 and 3.\nAnswer: 1.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -0.1, 2\/165, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/12)\/((-3)\/(-12)). Let v(d) = 3*d - 11. Let x be v(5). Sort g, -26, x in increasing order.\nAnswer: -26, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 296*x**2 + 2893*x - 68970 = 0. What is x?\nAnswer: -285, -22, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r + 43. What is o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 57. Suppose 0 = -2*c - 6 + 2. Let q be (-5)\/(c\/(-2)*1). What is the smallest value in -0.1, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 15*t - 30. Let q be a(15). What is the hundreds digit of 5\/q + (-1891)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*w - 955645 = -w + 261934. What are the prime factors of w?\nAnswer: 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378\/3567*(-1 - (-254)\/(-4))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z**2 - 329968 + 329963 - 8*z**2 in the form j*z + s*z**2 + u and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.01, 3\/14, -2 in decreasing order.\nAnswer: 13, 3\/14, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5503233 (base 6) to base 5.\nAnswer: 32213101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19.595+796.1\nAnswer: 776.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 7 + (8 - (6 + 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 106*t**2 + 45*t - 132. Is 7 a factor of b(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-13 + 6))\/(6 - 3))\/(-2). Solve d = -2*v - 6, -28*n + 31*n + 2*v = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.539779 milligrams in tonnes?\nAnswer: 0.000000007539779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/8 + 65*o**4\/8 + 1207*o**3\/8 + 4923*o**2\/8 + 810*o + 675\/2 = 0.\nAnswer: -30, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1722.2 and 7880739563.\nAnswer: 7880741285.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10058 is divided by 1422.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 0.04, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. What is the second derivative of 0*w - 5*w**2 - 9*w + 0*w**2 - d*w wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -19 in descending order.\nAnswer: 11, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 + 2*r + 1. Let z = 173 + -170. Let i be 9\/(-6)*(-1 + z). Let m(u) = u**3 + 3*u**2 - 3*u - 1. Determine i*x(k) - 2*m(k).\nAnswer: k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7. Let t(l) = -10. Let c(n) = -5*t(n) + 7*z(n). Let v be -4*5\/80 - (-14)\/(-8). Let r(a) = -4*a + 3. Give v*c(f) + r(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (7 - -4) - (-1 + -5) - 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + w**4 - 3*w**2 - 2*w**4 - 2*w + 2 + 2*w**4 - 2*w**3 to g*w + c*w**2 + q + o*w**3 + f*w**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - l. Suppose -2*p = -5*p. Let g = l + p. 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 second biggest value in 0.3, -4\/3, -14, -16432, -9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2 - 8 + 8*m - 3 - 17. Let p(l) = l - 3. Give 6*j(q) - 52*p(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 27752182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 33*q**2 - 8*q + 10. Let l be v(7). Suppose 309 = 5*r - l. Suppose -4*o + 4*k + 0*k + r = 0, -4*o = -3*k - 376. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**5 - 5*r**5 - 3*r**5 + (5*r - 5*r - r**2)*(-3*r**3 + 4*r**3 + 0*r**3) - 5*r**5 + 5*r**5 - r**5 + 2*r**5 - 6*r**5 + 2*r**5 + 0*r**5 - r**5 + 0*r**5.\nAnswer: -20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 12 + 13. Let k(s) = -6*s**2 - 4. Let l(v) = 7*v**2 + 5. Determine u*k(z) - 4*l(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/124)\/((-14)\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + -191. Suppose 7 = 4*h - m*h. Solve a + 13 = 3*v, -h = 3*a + v - 2*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98395.\nAnswer: 5, 11, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 + 4*c. Let o(q) = -q**3 + 19*q**2 + 43*q - 19. Let s be o(21). What is d(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*p + 151322 - 151322.\nAnswer: 106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 43*c - 588 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326439 and 292923?\nAnswer: 559190007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hok when three letters picked without replacement from {b: 2, o: 3, m: 7, h: 5, k: 3}?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -233.974, 0.5?\nAnswer: -233.974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 + 5*v + 32. Calculate g(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*w**4 + 29132*w**3 + 10*w - 1309415 wrt w.\nAnswer: -168*w**2 + 174792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 j when four letters picked without replacement from {t: 7, d: 1, j: 11}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2 + 5*f**2 - f**3 + 206*f - 200*f - f**2 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00437757209 to seven dps.\nAnswer: 0.0043776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 t when three letters picked without replacement from ttss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32877*o**2 - 2*o - 56532 with respect to o.\nAnswer: 65754*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = n. Sort 13, -6, n in descending order.\nAnswer: 13, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 5*c + 4*c - 10*c + 14*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 12 = -4*p, -p = -5*b - 0*b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(37 - -1) + -3 + 2. Suppose 0 = -3*b + 2*b + g + 91, -5*b = -2*g - a. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02754 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 0. Suppose 2*j + 3*d - 11 = 0, u = -j - 0*j - 2*d + 5. Suppose j = -v + 3*i - i, 0 = -5*i + 20. Let z(q) = 6*q**2 - q + 1. Give z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 245203, 245202, 245201, 245200, 245199?\n\"Answer: -v + 245204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -83990, -83970, -83936, -83888, -83826?\n\"Answer: 7*b**2 - b - 83996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2337888*r**4 - r - 7094114.\nAnswer: 9351552*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.009 - -0.321. Let c = n + -0.3120524. What is c rounded to 6 decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -7. Let l(u) be the first derivative of u**4\/4 - 2*u**3 + 3*u**2 + 1. What is l(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3174*a**3 + 16*a**2 + 8*a + 3. Let s(r) = 3173*r**3 - 20*r**2 - 10*r - 3. What is 4*s(j) + 5*x(j)?\nAnswer: -3178*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -1)**2 - sqrt(1377))*-3.\nAnswer: -4134 + 81*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmum?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, z: 4}. Give prob of picking 1 z and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8842676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let u = 23.1 + 6.9. Let b = -33 + u. What is the third smallest value in -1, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/(3\/(-18)). Suppose 3*v - 13934 = 4*z + 3961, 17901 = f*v - 2*z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2418 = -7276*t + 7369*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 113.3?\nAnswer: -103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptb when three letters picked without replacement from {l: 1, t: 1, p: 6, b: 3, x: 2, i: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**4\/4 + z**3 + z**2 - 2*z + 34. What is s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*j - 5*j - 14, -c = 4*j + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -21. Solve -3*d + 5*b = -4*d + 6, b = -5*d - r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:27 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*p - 697*p + 2953*p - 205*p - 665*p - 665*p.\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b1 (base 16) to base 13.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-104) - 4\/(-32)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + 0 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000001?\nAnswer: -111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2145, -7698, -16961, -29940, -46641, -67070, -91233?\n\"Answer: -q**3 - 1849*q**2 + q - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + 14*s - 7. Let x be o(4). Let w be (1 + 5 + -7)\/(x\/(-24)). What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let l be h(0). Let k be 5\/((-10)\/(-1))*l. Suppose 2*y + 4*y - 48 = k. What is the remainder when 20 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/24*(-8)\/100*-10*1\/58?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:24 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/145 and (18\/(-165))\/((-1276)\/330).\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 33734?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18891\/22 + 1709\/2. Let z = -73\/22 + y. Suppose 3*o = -12, 0 = 3*f + 2*f + o + 9. What is the nearest to 2\/7 in z, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 5940 = -58660. List the prime factors of f.\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (114\/76)\/(2\/4). Suppose b*t + 3*q + 15 = -12, 4*t + 46 = -2*q. Suppose 2*j - 42 = 5*j. Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525795?\nAnswer: 3, 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6355 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*d + 6 = 0, -2*y - d - 3 = -0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 111233?\nAnswer: 111227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 1723379?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1773533 to the nearest 10000.\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16050167 - 16101197 - 1596*x - x**3 - 2913*x - 124*x**2.\nAnswer: -(x + 27)**2*(x + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -10*h**3\/3 - 17*h**2\/2 + 15*h. What is the tens digit of d(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -494*l**3 + 294*l**2?\nAnswer: -2964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -314, -455, -786, -1403, -2402, -3879, -5930?\n\"Answer: -16*o**3 + o**2 - 32*o - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 - 4426918*h\/3 + 983760 = 0.\nAnswer: -1475640, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 520608239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19946 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000166763 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91.757 - 92.3. Let k = s - -0.043. Is -10 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111\/(-185) + (-3)\/((-30)\/(-34)). Let p = 11 - 14. Let c = p - -7. Put d, 12, c in increasing order.\nAnswer: d, c, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163750, 163749, 163748, 163747?\nAnswer: 163746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449276, -1797064, -4043378, -7188218, -11231584, -16173476, -22013894?\nAnswer: -28752838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 10. Let g be (7\/9 - 1)*y. Let x = 0.06 + -5.06. What is the third smallest value in g, -3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = c + 3, -120*c - 4*s = -116*c + 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -532704 divided by -537?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**5 - o**3 - o**2 + o. Let t(f) = -87*f**4 - 807*f**3 - 1923*f**2 + 4803*f + 6000. Let c(q) = 3*i(q) - t(q). Factor c(z).\nAnswer: 3*(z - 2)*(z + 1)*(z + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 at least as big as 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2209*p**4\/11 - 4277*p**3\/11 + 1866*p**2\/11 + 332*p + 88 = 0. What is p?\nAnswer: -2, -22\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8054708 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 6*f - 5*f + (6 - 2 + 0)*(-f - 2*f - 3*f) - 5 - 3*f + 5)*(3 - 3 + 0 + 22*f + 24*f) in the form d*f + g + m*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1851 and 18.\nAnswer: 11106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224572698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1528398 - 2?\nAnswer: 1528396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1098, 3397, 7072, 12123, 18550?\nAnswer: 26353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u**2 - u + 2. Let a be w(0). Suppose 5*b + 96 = d, 0*b - 4 = -a*b. What are the prime factors of d?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4710919243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8279.63 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 325*f + 11601. Give g(27).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, 1058478 in ascending order.\nAnswer: 1\/3, 5, 1058478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 523630801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768328 is divided by 256070?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 2601, 5862, 10431?\nAnswer: 16308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 157*p - 579. What is the units digit of v(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-5601)\/6)*(-22 + 20). What is the highest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*j - 4, 0 = -6*j - 10 + 22. Sort 0, g, -4, 1, 300 in ascending order.\nAnswer: -4, g, 0, 1, 300","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 46*a + 34. Give z(45).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 75\/7 - (-2)\/7. Suppose -7*c - 156 = -m*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 60*h**2 - 303*h + 390 = 0 for h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0787 - 0.078311. What is y rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.1704 + -39260.8?\nAnswer: -39141.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4783*r = 2390*r + 2392*r - 205. Which is smaller: -196 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/6 + 18*q**2 - 10*q - 1. Let g(m) be the first derivative of c(m). List the prime factors of g(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -0.04. Which is the closest to 11? (a) q (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440424570.\nAnswer: 2, 3, 5, 127, 115597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4025887924924 - -7528410197580057\/1870. Let f = 593667\/5 + j. Let w = -5\/34 - f. Find the common denominator of 18\/5 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -7, 0, -35 in decreasing order.\nAnswer: 0, -1\/4, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3165 divided by 5.\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.3. Let r be -3 - 0 - 48\/(-15). Let g = -4.2 - -3.2. What is the nearest to r in g, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/17, 6, -4, -7 in ascending order.\nAnswer: -7, -4, 2\/17, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.08 and 635?\nAnswer: -19735.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -417 (base 10) to base 3\nAnswer: -120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:02 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 8) to base 9\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2822 is divided by 162.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 41, -1, -41?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110110 + 110100000?\nAnswer: -100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 - 12*a**2 - 13*a - 11. Give h(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 53. What is the least common multiple of 20 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 445.6 + -446. Sort w, -1, -2 in decreasing order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -33*h + 12. Let c be u(-2). Let z = c + 175. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -970 - -966. What is the third biggest value in i, 0, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfmfmfmfcmcffcmmz. What is prob of picking 2 f?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 10*m**2 + 8*m.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91149366 divided by 3.\nAnswer: 30383122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llss when four letters picked without replacement from lssl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 68038 = -192586. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/2)\/h)\/((h\/(h\/h**(-5))*h*h)\/h))\/(h**6\/h**6))**32 assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k + k = -10*k + 574 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 468 + -557. Let c = u + 91. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992616 is divided by 987?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(63) + 2)**2.\nAnswer: 12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45715 and 0.0176?\nAnswer: 45715.0176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 2, b: 7}. What is prob of sequence vv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -381, -478, -609?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/(-4) - 525\/(-195)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14261 + 3713?\nAnswer: -10346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 2. Let j be c(0). Let b be (-2)\/j - (-1)\/(-2). Factor 0 - b*v**3 - 1\/2*v + v**2.\nAnswer: -v*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36613314 by -3.\nAnswer: -12204438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 80485254 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -2\/17, 2 in decreasing order.\nAnswer: 65, 2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/69 and -11\/690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 11}. What is prob of sequence bqbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25473 by -17.\nAnswer: 25473\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7205 - -22175. What are the prime factors of t?\nAnswer: 2, 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 372. Let y be f(0). Suppose 6314 = 2*t + y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.2. Let z = 12 - -4. Let k = z + -15.6. Sort -2, k, p in ascending order.\nAnswer: -2, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3284623 + 1115377. Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1791006*i**6 - 212*i**2 + i + 387 wrt i.\nAnswer: 214920720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.015 + -0.015. Let m = 28.7 + -28.4. Sort b, -1, m, -6 in increasing order.\nAnswer: -6, -1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578090 divided by -12?\nAnswer: 763015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 57622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 804 + 95. Suppose 0 = -5*g - p + 704. Sort g, 9, 3.\nAnswer: g, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11065508 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 7:17 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 271719\/66 + (-14)\/(-308) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 156408*i**3 - i**2 - i - 2*i - 3*i**2.\nAnswer: -156408*i**3 - i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 2c?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 9. Let c be 20\/25 - ((-21)\/5 - -3). Let q be k(c). Solve -4*n - 18 = -2*m, -2*m = -0*n + n + q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(0 + -1 + sqrt(19) + sqrt(19)).\nAnswer: -6 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19a + -2?\nAnswer: -19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/27 + 4\/18. Let b(a) be the third derivative of -1\/30*a**5 - 2*a**y + 0*a**4 + 0*a + 1\/105*a**7 + 0*a**6 + 0*a**3 + 0. Factor b(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644428.9 millilitres in litres?\nAnswer: 644.4289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -8\/7*w**2 + 0 - 4\/21*w**3 - 49*w - 1\/84*w**4. Factor z(u).\nAnswer: -(u + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120130301 (base 4) to base 11.\nAnswer: -715062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135699535 to the nearest integer?\nAnswer: 11649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 5*z + 9. Let r = z - -42. Suppose -240 = -11*i + 6*i. Calculate the remainder when i is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-36)\/((d*(d**2*d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 6*a**3 - 2*a**3 - 2*a + 73 to c*a**3 + y*a + j + d*a**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-1\/13)\/(a\/(a*(a*a\/(a\/((a**(14\/9)*a)\/a)))\/a*a*a)*(a**(-1\/13)*a)\/a) assuming a is positive.\nAnswer: a**(431\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = c + 391, 0*c + c = -4*p + 1564. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7348\/(-55)*(-10)\/4. Suppose f - 4*a = 46 + 136, -p = -2*f + 2*a. Calculate the remainder when f is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**2 - y. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.1 (b) -0.4 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 4 - (4 - -1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a3 (base 11) in base 8?\nAnswer: -3035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359985 is divided by 2093?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -7*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*a = a, -5*a - 26 = -3*t. Solve 0 = -f - 1 + t, 4*f = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let c(z) be the first derivative of 0*z**2 - 1\/3*z**3 - 2*z + 2. Let x(n) be the first derivative of c(n). Calculate x(p(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*m + 80. Let r be (-12)\/5 + m\/((-45)\/(-2)). Let l = -1.8 + 2. Sort 3, l, r.\nAnswer: r, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10663785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-44)*(-588126)\/(-71288).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*x + 3*x**2 - 106*x - 3*x**2 + 2 - 7*x**3 to the form b*x + d*x**2 + q*x**3 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -18 - (-2)\/(-2)) + (4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - k = -0*k + 19, 5*a = -2*k + 34. Let u = -6 + a. Let w(x) = 2 + 2 - u + x. Let l(s) = s + 2. Calculate 3*l(d) - 4*w(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 266 and 190.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d**5 + 20*d**4 + 16*d**3 + 14*d**2 - 5*d + 5. Let z(b) = 6*b**5 + 10*b**4 + 8*b**3 + 6*b**2 - 2*b + 2. Let i(s) = 4*m(s) - 10*z(s). Factor i(t).\nAnswer: -4*t**2*(t + 1)**2*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/21, 3\/8, 0.8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4, -1, -333 in descending order.\nAnswer: 4, 3, -1, -4, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.714 and -39455.\nAnswer: -39455.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-684))\/(5\/(-190)*-38)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2474.35 and -7.8?\nAnswer: 19299.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*c - 13*c = -164*c + 26199 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 105. Let t be (72\/(-27))\/(2\/d). Let b be t\/18 - (-4)\/18. What is the greatest common factor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*5767316\nAnswer: 11534632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4146*g + 28981. What is f(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -634, -944, -1254, -1564?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i = -59*i + 1050. What is the highest common divisor of 126 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -328*z - 2555. Let f be l(-8). Calculate the highest common divisor of 141 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 47473837?\nAnswer: 14242151.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -2802?\nAnswer: -17\/1401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 take away 43?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305292, 1221161, 2747608, 4884633?\nAnswer: 7632236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912222239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 565*z - 12521. Give h(23).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216757920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b**3 - 311*b**2 - 5. Let t(w) = -8*w**3 - 156*w**2 - 3. Calculate -3*i(f) + 5*t(f).\nAnswer: 2*f**3 + 153*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)\/b*b*b)\/(b*b\/b**(-9)*b*b))\/(b**(-13\/5)\/(b**(-6)\/b)) assuming b is positive.\nAnswer: b**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*3 - 13\/((-104)\/(-96))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyttctrlllqlll. What is prob of sequence cqr?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39399181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 728352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 304.\nAnswer: -55\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*k + 14, 0*k + k = -3*s + 2. What is the lowest common multiple of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 171390, 171447, 171432, 171309, 171042, 170595?\n\"Answer: -6*z**3 + 99*z + 171297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4158 and 1512.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3 + 1 - 3 + 4*n. Let m(c) = 6*c + 7. Let p(a) = -a. Let k(u) = m(u) + 5*p(u). Let r be k(-4). Calculate o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 256.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 2, v: 2, f: 2, k: 1}. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69471 and 2619.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 490 + 330. What are the prime factors of 328\/w*103\/(-4)*-10?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*v - 476 = -2579*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (490\/105)\/(4\/11010). Calculate the greatest common divisor of u and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1509 + 17aa?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2206883.3 to the nearest one thousand.\nAnswer: 2207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Suppose n = -2*k + 3*n + 16, n - 17 = -t*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - -1.5. Let g = y + 0.4. What is the nearest to 2\/7 in -2, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120.1 + -120. Let n be -3 + 8 + -2*1. What is the nearest to 10 in l, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (23 - 17) - (3 - 0 - 0) - -4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110)*1)\/(5*-2*sqrt(10)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/48, -3, 0.5 in decreasing order.\nAnswer: 0.5, 5\/48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*f**2 - 94*f**2 + 30*f**2 as g + p*f**2 + d*f and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 69 = t - v, 345 = -5*t + 5*v. Let n = t - -158. Let b = n - 89. Solve -4*s + 4 + 0 = b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*c**3*d**3*x - c**3*d**2*x + 51*c**3*d**2 + 25*c**2*d**6*x - 2*c**2*x - c*d - 2*d**2 wrt d.\nAnswer: 1254*c**3*x + 3000*c**2*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756 by -39.\nAnswer: -252\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let u be r(-2). Suppose -l + u = -1. What are the prime factors of l\/(-4) + (-65)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*1*-1 + sqrt(104) + (sqrt(104) - (-1*sqrt(104) + sqrt(104)))*3)\/(sqrt(72)\/(sqrt(9) - sqrt(90)\/(sqrt(10)*-6))).\nAnswer: 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 68576*s - 32129*s - 33191*s - 3.\nAnswer: 3256*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*t**3 + t**2 + 13*t + 4512?\nAnswer: -21*t**2 + 2*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/4 + 189*i**2\/4 - 198*i + 201 = 0. Calculate i.\nAnswer: -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*1*155\/(-465)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -240 - -272. Calculate the remainder when 123 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721343650 to the power of 1\/2, to the nearest integer?\nAnswer: 41489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 90588\/65 (c) -44\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 34 = 5*k, -o + 24 = 5*k - 7. Let w be -1 + 2 + k + 46. Suppose -57*y + 200 = -w*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 5*t - 16*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 686008, 2744127, 6174326, 10976605?\n\"Answer: 686040*s**2 - s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 - 2 - (-148 + (165 - 15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**5\/10 - p**4\/12 + 5*p**2\/2 - 7*p. Let i(t) = -t**3 - t**2 + 3. Calculate -5*i(f) + 3*j(f).\nAnswer: -f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -135975463 and -1.\nAnswer: 135975463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17252, -5, 1, -2, 0 in ascending order.\nAnswer: -17252, -5, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-4)*u*u)\/u**(-5))**22\/((u*u\/u**6)\/u**(-1)*((u\/(u**(-1)\/u*u))\/u)\/u**(1\/4)) assuming u is positive.\nAnswer: u**(449\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + 2*a**3 + (0*a**2 + 5*a**2 - 4*a**2)*(3*a - 4*a + 2*a) + 0*a - a**3 - a**2 + 0*a - a.\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 477\/18)*-4*35?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l. Let i(s) be the first derivative of s**5\/6 + 5*s**2\/2 - 11. Let o(u) be the second derivative of i(u). Determine y(o(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*d + 12086 = 0, 0*r = -3*r + 3*d + 9072. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 24*z - 3104. Is z a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/11836539 and -47\/43041960.\nAnswer: 473461560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 317 - 214 + 71 + 71.\nAnswer: -4*z - 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/(-5))\/(6\/15) is divided by (-1 - (-9)\/6) + 13\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -75*x**5 - 290*x**4 - 422*x**3 - 291*x**2 - 96*x - 7. Let l(j) = j**4 + j**3 - 1. Let p(h) = -5*l(h) - v(h). Factor p(o).\nAnswer: 3*(o + 1)**3*(5*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22 - -21)*(1 + 1\/(-2)). Let s(v) = v**3 - 6*v**2 - 2*v + 6. Let h be s(6). Let m be -2*3\/h*-1. Is m >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(12\/10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*sqrt(99)*6)\/sqrt(9).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6323 - 6347. Which is smaller: h or -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-84)\/15 + 148\/5. Let k = -565 - -595. What is the highest common factor of z and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 98. Let w(o) = -2*o**3 - 4. Let t = 3 - 1. Suppose 5*i = -0*i - 25, 0 = t*n + 3*i + 33. Let r(x) = 4*x**3 + 9. What is b*r(q) + n*w(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 + 112\/(-40). Let a = 0 - i. Solve 0 = 5*g - 2*s + 1, -5*s - 6 - 7 = a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-4))\/(4635\/(-3090)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-12))\/((-5)\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263\/((9\/(-15))\/(4 + -7)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692181023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + (sqrt(34) - sqrt(850)*5))\/(1*sqrt(2)*-5).\nAnswer: 23*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 390 - 394. Let c(g) = 35*g**2 - 15. Let m(p) = -9*p**2 + 4. Let h(u) = x*c(u) - 15*m(u). Let w(v) = v**2 - 2. What is h(w(i))?\nAnswer: -5*i**4 + 20*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 42 = -12*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 + 5*w + 4*w**3 - 11*w wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-14)*356\/267)\/(12\/(-42)). Let r(s) = s**2 - 18*s + 42. Determine r(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.48 + -0.02. Let w = x + 3.6. Let b = -10 - -6. What is the closest to 1 in w, -9\/2, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 8*w**3 + 0*w + w + w**3 - 3 + 3 - w**3 - 3*w**3 - 6*w**3 + (0*w**3 + 0*w**3 + 2*w**3)*(-4 - 1 + 3) to y + b*w + o*w**3 + i*w**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32712 - 32605. Solve 11*f - h = -96 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88467425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m + 482585945*m**3 - 482585950*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g - 1\/2*g**2 + 3\/2.\nAnswer: -(g - 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2. Let a(w) = w**5 + 5*w**3 + 5*w**2 + 3*w. Let x(r) = a(r) - 5*o(r). What is the second derivative of x(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - 35040\/(-576))*(-9)\/(999\/12).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 318 divided by -159\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:43 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + u + 0*u = 0, 2*u + 3 = -d. Let m(j) = 62*j + 188. Let n be m(-3). Suppose n*w = -d*w + 90. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/5))\/z*z)\/(z\/(z\/(z**3\/z))))\/(z**6\/z**(-5)) assuming z is positive.\nAnswer: z**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6*c + 55. Let w(g) = -2*g**2 - 4*g + 1. Let z(l) = l + 2. Let f be z(-6). Let h(y) = -5*y**2 - 11*y + 3. Calculate c*w(q) + f*h(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 150139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*g - 2*g, -2*g + 14 = 2*y. Suppose 4*u + 2*p - 25 = -9, -y*u + 4*p + 4 = 0. Solve -f + u*f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8654 - -0.89. What is q rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2513 (base 9) to base 3\nAnswer: 2120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6218, -6284, -6340, -6380, -6398, -6388, -6344, -6260?\nAnswer: -6130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 10*q - 5*q - 5373027, 2*q + y = 2149206. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*p - 39 = p, -94 + 231 = 7*w - p for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107 and -17518?\nAnswer: 1874426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2. Let n be 115 - (3 - (-2 + 9)). Let c(k) = -2*k + n - 119. Calculate f(c(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001000021 (base 3) in base 7?\nAnswer: 1003312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 135736 divided by 376\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 196, -1, 3.4, 2\/7?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 975.11 + -975. Let m = -0.04 - 1.96. Let v = -5 + 8. Which is the third biggest value? (a) m (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 119.\nAnswer: -5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 14*a + 3*a. Solve -2*v + 5*v + 9 = a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 383093, 3\/7, -32.5 in descending order.\nAnswer: 383093, 3\/7, -32.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974 (base 10) to base 6.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 + 2*x**2 + 3. What is g in d(g) = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 + 35*p**4 + 55*p**3 - 115*p**2 - 50*p + 80 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28776625, -28776627, -28776629, -28776631, -28776633, -28776635?\n\"Answer: -2*a - 28776623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/109 + 232\/763. What is the closest to 1 in 0.5, z, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t - 5 - 12 + 2*t - 3*t + 0*t as l + u*t and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13524443 - 25?\nAnswer: 13524414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24)*-2)\/(2883\/(-2232)).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 8, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*m - 4*m - 2*m)*(166 - 149 - 201).\nAnswer: 4232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*l**2 + 8*l + 3*l - 11*l + 25.\nAnswer: -266*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0.31 (c) 3\/2 (d) 1.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 + 11*v**3\/6 + 5*v**2 - 7*v. Let r be b(-10). Solve r = 2*p - 4*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 9, -0.4, 2\/5 in increasing order.\nAnswer: -0.4, 2\/9, 2\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 8*r**2\/5 - 2*r\/5.\nAnswer: 2*r*(r + 1)*(5*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 926*o**3 + 105*o**3 + 17*o**2.\nAnswer: 1031*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + 91*n**2 - 26*n - 48. What is the tens digit of w(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/72 and -109\/171684.\nAnswer: 343368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 20 + 8 = 0. Let k be ((-1)\/(-2))\/((-1)\/6). What is the units digit of 1\/4 + k\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12842\nAnswer: -3\/12842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 + 192. Let g be 0\/(-1) + (18\/l - 7). What is the fourth smallest value in g, 1, -0.07, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 82877*b - 165229*b - 3 + 82938*b.\nAnswer: 586*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, d: 1, i: 1, s: 1}. Give prob of sequence nd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050456 to four dps.\nAnswer: -0.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.277 - 0.777. Let x = 12 - -28. Let g = 278\/7 - x. What is the closest to g in p, 2\/7, 4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/10 - (-6)\/60\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2928037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - -11. Let c = q - 45. Suppose -28 + c = -a. What is the remainder when 48 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(2\/(-2)))\/(-2). Let z = -3 + 6. Suppose -z*y = -7*y. Do y and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = -560 - 886 - 387 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -92209\nAnswer: -92209.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:55 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(1 - 1 - 2*s)*(767 - 308 + 3*s - 2*s) as q*s**2 + p + o*s and give o.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*n**2 - 10*n + 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 969228 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 42 = -4*p + 7*l, -3 = -38501*l + 38498*l for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let u be (2 - 2) + f + 1. Suppose u*w - 1 = 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 + 4 - 4 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*k**2*s**2*v**2 + k**2*s**2*v + 1439*k**2*s*v**2 + 10*k**2*v**2 - k*s**2 + 2*k*s*v wrt s.\nAnswer: 556*k**2*v**2 + 2*k**2*v - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/690 and -143\/6.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*u = 5123 - 29467 - 43496 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*r + 776*r - 180 = 1537*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/3 - f. Let a(t) be the third derivative of 0*t**3 + 0*t**4 + 1\/30*t**5 + 0*t + 0 + 2*t**2. Give a(q(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -668685789.\nAnswer: -668685787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107, 215, 323?\n\"Answer: 108*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -24\/95*x**5 + 0 - 5\/399*x**7 - 14\/95*x**6 + 132*x**2 + 0*x - 1\/3192*x**8 + 0*x**3 + 0*x**4. Factor v(k).\nAnswer: -2*k**2*(k + 1)*(k + 12)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 18. Let l = -148 - -230. Let r(y) = 169 - l - 86. Let m(t) = o(t) + 6*r(t). Calculate m(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3872\/28 + 2\/(-7). Let p(z) = -2*z + b - 138. Let x(y) be the third derivative of -y**5\/60 - 2*y**2. Give x(p(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14157*-0.4.\nAnswer: 5662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 99408 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((3 - -4) + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453 + 696. Calculate the remainder when n is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 3\/5 (c) 1 (d) -301701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.1, -564, 2\/7, 0.2, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 5. Let n = 7 - 11. Let w be j(n). Solve 3*g = -w + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*-1 - -3*sqrt(63))**2 + (sqrt(252)\/(sqrt(18)\/sqrt(2)))\/(-2*sqrt(576)).\nAnswer: -sqrt(7)\/24 + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -19*j + 97 - 220. Solve j*n = 3*z + 12, -3*n - z + 27 - 31 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - -7. What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.3 + 43. Let m = f + 10. Which is greater: -5\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, u: 2, k: 7}. Give prob of sequence kku.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137095923509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29516196 to the power of 1\/2, to the nearest integer?\nAnswer: 5433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = -0*i. Suppose 4*f - 5*z = -i, 3*z - 2 = 7. What is the least common multiple of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + n + 2. Let t(r) = 22*r**2 + r + 703. Calculate 4*l(y) + t(y).\nAnswer: 2*y**2 + 5*y + 711","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 110*f - 16 - 52*f - 56*f. Let q be x(9). Let h(r) = 43*r - 2. Does 28 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31239*b**2 + 31265*b**2 - 1252*b + 1251*b.\nAnswer: 26*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 12:52 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 6*a - 2813 = 24*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89618 and 0.9.\nAnswer: 80656.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.6 - -15.2. Sort l, -0.06, -9 in ascending order.\nAnswer: -9, l, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -16*o + 6*o. What is the units digit of (-7692)\/(-84) - (-1 + o\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 4*l + 15*l - 3*l in the form c*l + a and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 3942?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a day in minutes?\nAnswer: 29280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*c + 5*g - 25, -10 = 2*c + 4*g. Solve k = 3*k + 2*w - 2, 5*k + w - c = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) - 352\/132. Which is the closest to w? (a) 1\/10 (b) 0 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20655 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496384637\/28050510 - 6\/275005. Let h = w - 10\/51. Find the common denominator of 111\/(-3)*1\/(-11) and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2899*d + 78310. Give v(27).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (105 + -35 + -46).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/14)\/((-5)\/30). Suppose i = 5*y - 176. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09113 + -44.99287. Let t = q - -0.784. Let w = -48 - t. What is w rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 5. Suppose w + 2 = 2*v + 8, -5*w - 3*v - 35 = 0. Let a(k) = -2*k + 4. Give w*a(s) + 3*z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 444 and 168?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/312 + -2\/39. Let n(h) = -4 - h**2 - 19*h + 5 + 13*h. Let i be n(-6). What is the biggest value in -1\/4, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30211302 (base 4) in base 12?\nAnswer: 25a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 273*u**3 + 42*u - 336. Let h(n) = 76*n**3 + 12*n - 96. Determine 5*f(s) - 18*h(s).\nAnswer: -3*s**3 - 6*s + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43*(-12)\/(-42) - (-112)\/392?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68451.7 centuries in years?\nAnswer: 6845170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31096727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -7, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 2*i + 6. Let q be m(-7). Let b(y) = -152*y - 258. Let u be b(-2). Calculate the greatest common divisor of q and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z + 7. Let a = -9030 + 9023. Calculate n(a).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let t = 3 - 0. Suppose t*f = -3*z + 18, -5*z + 6*f - f = -10. Let k(w) be the first derivative of w**3 + 2*w**2 + 6. Give z*l(u) - k(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2 - 5*z**2 + 14*z - 5*z**2 + 17. Let w(h) = 13*h. Let y be w(-1). Let m be s(y). Solve 5*g = m*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320477227 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (6*((2 + sqrt(1377) - sqrt(1377)) + 2 + sqrt(1377)) - (1 + sqrt(1377) + -2 + -2)**2).\nAnswer: -1370 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/15)\/w)\/w*w\/((w\/(w\/w**(-5))*w*w)\/w)*(w\/(w*w\/w**(1\/2)))**(2\/59)*(w*w**2*w*w*w**(-2\/19))\/(w**(-1)\/(w*w*w*w*w**2*w*w)) assuming w is positive.\nAnswer: w**(284921\/16815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/6)*w*w*w**(-2\/35)*w*w)\/(w**(-2\/41)*w*w**(12\/13)\/w*w) assuming w is positive.\nAnswer: w**(474049\/111930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 130, 116, 86, 34?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90.5 + -90. Is t > 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 11*o**2 - 2247*o - 13453. Give t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9355593\/618 - (-2 - -1) - 2\/4?\nAnswer: 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s - 4. Suppose 0 = -6*o + 3*o - 12. Is 16 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -40, -24, -6, 14?\n\"Answer: k**2 + 11*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 346, 938, 1778, 2872, 4226, 5846, 7738?\n\"Answer: k**3 + 115*k**2 - 2*k - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:03 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 3*w - 3*w + 131 + 3129*w**2.\nAnswer: 3129*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d + 64. Let i be s(8). Suppose 5*j = -i + 117. Let r(x) = 2*x - 3. Give r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7943?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 4*q + 62. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.3948mg in micrograms?\nAnswer: 581394.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22879, -65, 7 in ascending order.\nAnswer: -65, 7, 22879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**2 + 8*r**2 - 25 + 188 as z*r**2 + i + p*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-36) + (-22)\/((-13068)\/3)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 6, u: 1, v: 1, y: 4, k: 2}. Give prob of picking 1 e, 1 y, 1 u, and 1 d.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let y be q(1). Let r = -184 + 188. Solve 0 = r*c - 8, -y*d + 3*c - 16 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 9*k**2 - 12*k + 3. Let w(q) = -q**3 - 8*q**2 - 7*q + 1. Let g be w(-7). What is the remainder when a(-10) is divided by g - (-8 + 2 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 69*t**2 - 62*t - 10. Let q(v) = -26*v**2 + 21*v + 3. Calculate -3*k(u) - 8*q(u).\nAnswer: u**2 + 18*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + x = -34*y + 4, -5 = 5*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/1957 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = u, 169*u + 5*c + 5 = 174*u. Solve -10*s - 22 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**16*j*j**(5\/2)*(j*j\/(j*(j*j\/(j\/((j*(j*j*j\/(j*j**13))\/j)\/j)))\/j))\/((j*j**(-15)*j)\/j) assuming j is positive.\nAnswer: j**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*u + 26 = 0, 26 = 5*q - 4*q + 3*u. Let k = -24 + q. Suppose 14*b - 4*b - 60 = 0. What is the lowest common multiple of k and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/48 - 247*x**3\/6 - 987*x**2\/8 - 6554*x. Determine b so that c(b) = 0.\nAnswer: -987, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254374 is divided by 127186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4680*d + 161112 = 4708*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11694, -6, 1, 5, -5 in increasing order.\nAnswer: -6, -5, 1, 5, 11694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*r + 303*r = 161*r + 384. Let z(n) = 10*n + 66. Determine z(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkaamkckmkckcckcka. What is prob of picking 1 m, 1 c, and 1 k?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -42*v - 907. Calculate a(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 24*f**4 + 404114*f**3 - 1987486*f**2 - 202106*f + 168430 = 0.\nAnswer: -16843, -1\/3, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5*i - 24. Let f be g(8). Solve 0*d - 3*d + 12 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49454 and 28598?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:48 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmy when four letters picked without replacement from {c: 3, m: 4, y: 2, v: 8}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 19, 27, 27, 13, -21?\n\"Answer: -d**3 + 5*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -11*q + 15*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-220)\/(-105) + -2 - 0. Let c = -177\/2140 + -1\/1605. What is the nearest to 1 in j, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 35 = 2*w, -2*y + 2 + 23 = w. Which is smaller: 2\/9 or w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000042681333 rounded to seven dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -433.00995 + 433. Let q = g - -0.01. What is q rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/5 - 1122*g**3\/5 - 224*g**2 = 0. Calculate g.\nAnswer: -560, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 45 = -5*k, -2*k + 0*k = -4*j + 48. Calculate the common denominator of (11\/(-5))\/((-4)\/k) and (-1)\/(-24) - 142854\/70992.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 24*o - 135. Let z be k(-15). Let p = -5 + 10. Sort -26, z, p.\nAnswer: -26, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-32))\/((-306)\/(-26928))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 49680000 to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/6)\/((-1)\/2). Suppose r*q + 18 - 98 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111 + -110001?\nAnswer: 11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 10*b**2 - b - 5. Let h be c(-10). Suppose j = h*j + 2*j. Solve 0 = -4*i - j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.4?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.283 + -0.017. Let f = -4 - s. Let r = f - -1.7. What is the biggest value in r, -2, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14905599 - 14904945.1381. Let q = -654 + g. Round q to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 4*z**2 + 1\/6*z**3 + 0*z + 1\/24*z**4 + 0 + 1\/60*z**5. Let g(m) = -m**2 - 11*m - 8. Let r be g(-10). Determine h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4\/4 + 8*x - 10. Let k(p) be the first derivative of g(p). Let a(m) = -m. Calculate a(k(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - (131 + -51 + -85)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 316*g**3 - 110*g**3 + 336*g**3 + 255*g**3 + 103*g**3 - 1297*g wrt g.\nAnswer: 5400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30\/7 in -0.1, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*w + 48, o - 4*w - 19 - 11 = 0. Solve o*k + 18 = 9*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdd when three letters picked without replacement from {d: 2, v: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7) + -3 + 3 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -411 + 49. What is the units digit of (h\/6 - 2\/12)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/120 - s**4\/12 + 10*s**3\/3 - 24*s**2 - 1. Let d(m) be the first derivative of u(m). Give d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2)\/(-3) + (-96)\/(-240)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8247053\/147000 - 7028\/125. Calculate the common denominator of -36 and v.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Let v be (n\/20)\/(-1 - -2). Let s = 1 - 1.3. Which is the biggest value? (a) -1\/6 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 33 - (-7 + 1)) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13893962 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -460*z + 15488. Give t(37).\nAnswer: -1532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 1, d: 1, r: 3, w: 5, v: 1}. What is prob of picking 1 r, 1 v, and 1 o?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 858, 1383, 1908, 2433?\n\"Answer: 525*o + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32316463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u - 11. Let z be j(5). Let w be (2 - (-75)\/z)\/(15\/(-80)). Let s be ((-2)\/(-4))\/(2\/4). Sort s, -1\/6, w in ascending order.\nAnswer: -1\/6, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 1. Let i(j) = 10*j. Let b(l) = -3*i(l) - 5*v(l). Calculate b(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3587 and -13\/844?\nAnswer: 14348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*l - l**2 + 57*l - l**2 + 81*l in the form i*l + p*l**2 + t and give i.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + -11000010110?\nAnswer: -11000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00797328412 to 5 dps.\nAnswer: 0.00797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3\/3 - 490*y**2\/3 - 1535*y\/3 + 2020\/3 = 0. Calculate y.\nAnswer: -4, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 61. What is the smallest value in -0.4, -13, l?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5134*q**2 - 301 + 103 + 99 + 99 in the form x*q + b + o*q**2 and give o.\nAnswer: -5134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671444332.\nAnswer: 2, 13, 12912391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/2)*i)\/i)\/(i\/(i*i**(-2)))*i**(-4)\/i**(-5))**(-32) assuming i is positive.\nAnswer: i**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 4, 105, -5 in increasing order.\nAnswer: -5, 4, 105, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -174.2*-0.3\nAnswer: 52.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + 7*o + 11. Let d be b(-3). Let g = -13 - d. Let u = 34 + g. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70 + 372?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + -112. What is the remainder when 95 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let m(s) = 1022678*s. Determine z(m(w)).\nAnswer: 2045356*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 204239 (base 11) to base 13\nAnswer: b6216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-10)*(2 + -6) + 5. Suppose 5*o + 382 - 75 = 3*b, -2*b + 205 = -t*o. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - ((-8 - -16) + -2)) + (-19 - -55).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 3163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c965 (base 13) to base 16.\nAnswer: -6d40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 5}. What is prob of picking 1 a and 3 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*793\/2562*-8.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 5085 and 5085 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/6, -16, 1, 104\/31, -2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01902 (b) -5 (c) 4 (d) -1\/6 (e) 0.078\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -46 + 0.01136\nAnswer: -45.98864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -62*m**3 - 9*m**2\/2 + 94*m. What is the units digit of u(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/175*(-6 - (1 + -2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-665)*-5 + -1*(-34)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 2*r**6\/15 + 7*r**5\/5 + 11*r**4\/3 + 10*r**3\/3 + 16*r + 2. Determine v so that b(v) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k, -2*d + 13 = -d + 5*k. Suppose -3*v + d - 1 = 0. Put v, -1, 2 in decreasing order.\nAnswer: v, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/9 - 2*c\/9 - 4\/9 = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let l(x) = -3*x + 31877. Give u(l(t)).\nAnswer: 9*t**2 - 191262*t + 1016143129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5, e: 8, b: 4}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 14790483.\nAnswer: 4437144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100, 101, 102, 103, 104?\n\"Answer: i + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*c - 2)*((-1 + 2 - 2)*(-4 - 1 + 7) + 3 - 6 + 5 + (-4 - 1 + 2)*(3 + 2 - 4)) to the form o*c + i and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2793\/(-559) + 30\/6. Let q = 16 - 15. Is l > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 129*a**3 + 8*a**2 + 94*a - 4. Let y(w) = 259*w**3 + 14*w**2 + 190*w - 7. Let i(u) = 7*x(u) - 4*y(u). Find the second derivative of i(p) wrt p.\nAnswer: -798*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360124.\nAnswer: 2, 340031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1722 divided by 82\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3236094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -19.\nAnswer: 243\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 452.592 - 452.4220004. Let h = 0.17 - r. Round h to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 435*o**2 - 1296*o - 14. Calculate l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 124.4 and -14174.3.\nAnswer: -14049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10426, -10463, -10508, -10561?\nAnswer: -10622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/144*(0 - 3). Suppose k*b - 5*v = 3842 + 723, -b + 4*v = -928. List the prime factors of b.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 15*s**2 - 10*s - 21. Let n be b(-11). Round n to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*l = 4*k + 15, 5 = 4*k - l. Suppose 8*q - 69 - 315 = k. What is the remainder when 236 is divided by q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -3.3. Suppose -3*f + 4*f = 2*x - 6, 0 = -f - 3*x - 1. Let s be -2 + 5\/((-105)\/(-36)). What is the closest to s in l, f, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-11) - 2\/22. Solve 199 = -l*g + 189 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 122 - 40 = -25*b. Solve -3*w - 9 = 2*y + 15, 2*y = 2*w + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123095.67 * -3\nAnswer: 369287.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412*q**2 - 1201*q**2 - 1209*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 4892830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28654 divided by 28654?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 - 7*q**3 - 3*q**3 + q**3 + 0*q**3 - 3*q**3 + (4*q - 3*q + q)*(2*q - 2*q - 2*q**2) to d + i*q + c*q**2 + y*q**3 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 - 0.4. Let r = 1.61 + 0.39. Which is the second biggest value? (a) u (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914827444 a multiple of 4809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11 and -29\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(117)*-2*5)\/((sqrt(99)*-2 - sqrt(99))\/sqrt(11) - 6*sqrt(81)).\nAnswer: 10*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, -1695, -4 in decreasing order.\nAnswer: 430, -4, -1695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*f - 8, -18*x - 12 = -21*x + 5*f. Calculate the lowest common multiple of x and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -174, -267, -374, -501, -654, -839, -1062?\nAnswer: -1329","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: What is the value of ((-6)\/(-20))\/((-22)\/(-110))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/6*(-54)\/(-15)*(-530)\/159. Sort c, -5, 4 in increasing order.\nAnswer: c, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*2 + sqrt(588))\/sqrt(4).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o = 102*o - 61*o + 701406. What are the prime factors of o?\nAnswer: 2, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6323, -4, 2, 1\/2 in descending order.\nAnswer: 2, 1\/2, -4, -6323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37455254 to the nearest integer?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (660\/(-84) + 10)*(-3)\/((-9)\/21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h**2 + 20*h + 6. Let w(p) = -5*p**2 + 7*p + 2. What is -5*g(l) + 14*w(l)?\nAnswer: 10*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*f**2 - 33*f**2 - f**2 - 25*f**2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 4. What is the least common multiple of k and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 15*l**2 - l - 12. Let u = 2 + -17. Is m(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 + 428*n**3 - 4920*n**2 + 6804*n + 12150 = 0. What is n?\nAnswer: -225, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9045 divided by -15.\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 7*h**4\/4 + 14*h**3\/3 - 6*h. Find the second derivative of j(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 7. Let z be j(-6). Let w be ((-12)\/(-45))\/((-16)\/(-12)). Is w < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 2. Suppose -4 = -2*o + 2*j - 4*j, 5*o = 3*j + 34. Let y(l) = -l + 1. Calculate o*p(c) + 8*y(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnonnfgfo. Give prob of picking 1 g and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:26 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*p + 462 = 0, -3*p = -l - p - 82. Let q be (88\/(-10))\/((-9)\/l). Let w = q - -103. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/(-3500))\/((-26)\/5).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 - c + 10. Does 12 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 173473062?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11926 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9321 from 52.\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 = -40. Calculate the remainder when 109 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19181550?\nAnswer: 2, 3, 5, 127877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + 22 + 4\/1 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u**(1\/2)\/u))*u)\/u)**(-3)\/(((u\/u**8)\/u)\/(u\/(u*u**(3\/7)))) assuming u is positive.\nAnswer: u**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 6, 2, 0 in descending order.\nAnswer: 6, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 2, 1, -2, 79, -19 in increasing order.\nAnswer: -19, -4, -2, 1, 2, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (4*(sqrt(891) - -5*(sqrt(891) + -3 + sqrt(891))) - ((sqrt(891) - (sqrt(891) + 3)*5) + -2)))*1)**2.\nAnswer: -38880*sqrt(11) + 2054889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2 + 0*r**2 - r**2 + 2*r**2 - 4*r. Let m = 9 - 4. Let u be b(m). Solve u*s - 2*s = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102111221012 (base 3) to base 4.\nAnswer: 313111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004294954 rounded to 7 dps?\nAnswer: 0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325 - 1617\/5. Let q = w + -29\/15. Let f = -72 + 356\/5. Which is the second biggest value? (a) -2 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3\/4 - 2067*i**2\/4 + 8641*i - 11088 = 0 for i.\nAnswer: 7\/5, 16, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 47. Suppose 0 = 2*j + 108 + a. What is the remainder when 67 is divided by (-226)\/(-10) - 26\/j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -2\/69 (c) 1\/3 (d) -13 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -771478, -1542956, -2314434, -3085912, -3857390?\n\"Answer: -771478*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05285 and -0.0609.\nAnswer: -0.003218565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 1\/4, -0.5, 80, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7392 - 7397. Which is the second smallest value? (a) v (b) -59 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (-39 - -20) - (6 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*l**2 - 208*l**2 - 106*l**2.\nAnswer: -158*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1.1 (c) 0.07 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36610, -36661, -36752, -36889, -37078, -37325, -37636, -38017?\n\"Answer: -b**3 - 14*b**2 - 2*b - 36593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2*(130\/4)\/13. Let f be (-64)\/(-36) + i\/45. Solve f*o = -2*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 + -7 - -9 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814300220 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2187383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltxtlxltlmwltlxltt. Give prob of picking 1 w and 2 t.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21887925, 21887924, 21887923?\nAnswer: 21887922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.069 + -0.069. What is the closest to y in -0.1, 3, 2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -629?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 137\/6*f**4 - 5\/2*f**5 - 52*f + 298\/3*f**2 + 16\/3 - 73*f**3 = 0. What is f?\nAnswer: 2\/15, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.128365162 rounded to 3 dps?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4920.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + -27. Let l = -55 - c. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0 (c) 3 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 + 22 = 0. Let m(i) = i - 19. Let f be m(19). Suppose 4*z - 1 + 2 = k, f = 5*k + 4*z - 29. Solve b - k = 5*u + x, -3*u - 27 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*a - a - 1, -3*i = -2*a - 3. Let o be (-15)\/(-6)*i*2. Suppose h + 20 = o*b, -16 = -4*h + 2*b - 6*b. Solve 3*n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3.5. Let w = -3.5 + f. Do w and 2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/8 + -3)*(108 + 2). Suppose 5*x - 16*x + w = 0. Solve -a = 3*f - 0*a + 10, -f - x*a = -6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9968381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -56*h**2 - 561*h - 51. Determine r(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 1. Let q be p(1). Suppose -3*w + 12 = w - 4*d, -4*w + q*d = -11. Solve -2*z = 4, 3*y - 2*z - 1 = w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and -13\/7356.\nAnswer: 58848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20553 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u - 2. Let i be a(-6). Let m = i + 120. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5563 - -5566. Let p(w) = 18*w - 58. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18395 and 754?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76330?\nAnswer: 2, 5, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18542?\nAnswer: 2, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 - 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2741\/4 + 677. Find the common denominator of 1 - 4\/((-96)\/159) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2743 or 1?\nAnswer: -2\/2743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11159 + 39?\nAnswer: 11198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/30)*j*((((j\/(j\/j**(-1\/21)*j))\/j)\/j)\/j)\/j assuming j is positive.\nAnswer: j**(-281\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 - (-16)\/3. Let n(i) = i**2 - 4*i - 5. Let c be n(s). Suppose 0 = -5*l - c - 8. Sort -2, 5, l in decreasing order.\nAnswer: 5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((-4)\/18 + (-192)\/(-54)). Suppose 2*y + 6 = a. Solve -5 + y = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o. Suppose 0 = -19*h - 1 + 20. Let u(q) = 3*q**2 + 7*q + 114. Let j(w) = h*u(w) + 2*a(w). What is the derivative of j(s) wrt s?\nAnswer: 2*s + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104648.8 times 4.71?\nAnswer: -492895.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (1 + sqrt(832) + 5))**2 - (-2*sqrt(832)*-3)**2) + sqrt(143)\/(sqrt(11)*-1) + -4 + (sqrt(26)\/sqrt(2))**2.\nAnswer: -29907 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 62*h - 2. Suppose -5*f - 20 = -f, 0 = -q + 4*f + 21. Let b be c(q). Let z = 89 - b. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + 2*(sqrt(10) - sqrt(160)))\/(sqrt(10)\/sqrt(80)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14281 by -14281.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 232958564?\nAnswer: 465917128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**3 + 137*h**2 - 22743*h?\nAnswer: 36*h + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-68)\/10)\/(5 - 27\/5). Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1996682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*(-15)\/(-12)*2698\/(-93081)\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 - 29 = 0. Let k be f\/(-10)*4\/(-3). Calculate the remainder when (5\/10)\/(k\/28) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 8*r - 268. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734.158681 rounded to 1 decimal place?\nAnswer: 1734.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, r: 9, z: 2, i: 2}. What is prob of sequence zrrz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1005 = -4*f - 3*q, -3*q = -4*f + 999. Let z be (2\/3)\/(168\/f). What is the smallest value in z, 35, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjeejjjejj. Give prob of picking 3 j.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1063, -1531, -2009, -2503, -3019, -3563, -4141?\nAnswer: -4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3908557 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 - 34 = 5*q. Calculate the greatest common divisor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*b - 3876914 = 0, -x = -5*b + 399533 - 1368721. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17765, -35531, -53297, -71063, -88829?\nAnswer: -106595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -278 (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjj when three letters picked without replacement from {m: 5, q: 3, j: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00977519737 rounded to 7 dps?\nAnswer: 0.0097752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*c - 9*c - 5*c)*(-14 + 29 - 10)*(c**2 - c**2 + c**3) as z*c**2 + n + f*c**3 + a*c + q*c**4 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12 + 8*s**3 - 3*s + 4*s**2 - 3*s**3 - 4*s**3 + 0*s**3. Let y be n(-5). List the prime factors of ((-6)\/(-4) - y)*-56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 3315846708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/269 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 + 4*s - 4. Let y be u(-5). Let a be (y - 12\/9)*3. Let k(t) = -t + 1. Let o(i) = -4*i - 5. Let q(n) = 4*k(n) + o(n). Determine q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2 - 4*t - 4. Let i(w) = -12*w**2 + 6. Let h(b) = -13*b**2 - b + 7. Let o(s) = -3*h(s) + 4*i(s). Calculate -4*o(g) - 3*v(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140385709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1250.5 - 1250.2. What is the third smallest value in -1\/5, d, -1\/53?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -9 - (-8 - -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97\/6 - 16. Which is the second biggest value? (a) 2\/49 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12393 divided by -5.\nAnswer: -12393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/5, 6, 3, -0.58, -2.3 in increasing order.\nAnswer: -3, -2.3, -3\/5, -0.58, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 1. Let m(t) be the third derivative of t**5\/15 - t**3\/6 - 2*t**2. Give m(l) + p(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -67460?\nAnswer: -67460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 455\/236 at most 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12832507 or -12832509?\nAnswer: -12832507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 2006.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(336)\/sqrt(8))\/sqrt(6).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14866 at most as big as -14863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8711 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-23)*b**(2\/15)*b)\/((b*b\/(b*b\/(((b*b**(-1\/6)\/b*b*b)\/b)\/b))*b)\/b**(-13)))**(-1\/57) assuming b is positive.\nAnswer: b**(119\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 + -640\/3. Let b = -1180 + 3511\/3. Find the common denominator of b and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 500.5 + -500. What is the third biggest value in s, 1\/4, -1050?\nAnswer: -1050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3893 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3733, -7394, -11059, -14728, -18401, -22078?\n\"Answer: -2*o**2 - 3655*o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2210248*h**3*s - 53*h**3 + 62*h*s - h - 1325425*s + 1 wrt h?\nAnswer: 13261488*h*s - 318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.01 (b) 1 (c) 37 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.92861 millilitres in litres?\nAnswer: 0.05892861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1500*j**3 + j**2 + 19*j - 18. What is the units digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 2*h + 60 = 0. Suppose k - 5 = -h*b + 6, 20 = -5*k. Suppose 3*f = 23 + 97. Calculate the greatest common divisor of f and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/3305 and -18\/55.\nAnswer: 36355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -663, 0, -4, 8, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 3. Let d(b) be the second derivative of b**5\/10 + b**4\/4 + b**3\/2 + 3*b**2 - b - 5. Let i be d(-2). Calculate u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 30, 73, 144, 249, 394, 585?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 5. What is b(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u + u + 2*u)*(-1 + 3 - 1 - 4 + 2 + 4 + (-3 + 2 + 0)*(0 - 2 + 0) + 0 + 0 + 2 + 2 - 4 + 0 + 1 + 2 - 2) to a + s*u and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2124583 meters in micrometers?\nAnswer: 212458.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtfi when four letters picked without replacement from {t: 1, f: 2, l: 5, g: 2, a: 5, i: 1}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602489 = -69*o - 606008 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 7. Let n(x) = -4*x - 23. Let q(k) = -4*n(k) - 14*p(k). What is q(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6316, -12527, -18762, -25021, -31304?\n\"Answer: -12*i**2 - 6175*i - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34724 + 693971\/20. Let u = -26469\/1012 + -24\/253. Let o = g - u. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((0 - 1 + 2)*(4*b - 5*b + 0*b) + 0*b - 6*b + 3*b)*(289 - 38 + 275).\nAnswer: -2104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d**5 - 5*d**4 + 29*d**3 - 3*d**2 + 23*d - 9906 wrt d.\nAnswer: 80*d**3 - 60*d**2 + 174*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 + 2*g - 1. Let i be p(-2). Let d(m) = m - 1. What is d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004652574004 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -59. Put 18, 4, y, -2 in decreasing order.\nAnswer: 18, 4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21200 + 10?\nAnswer: -21140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/4 - 193*c**2\/4 - 2091*c\/4 + 801837\/4 = 0. What is c?\nAnswer: -123, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -33.4?\nAnswer: 13.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 11*s + 631. Calculate l(-57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1651110 divided by 7026.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1911 is divided by 134.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(360)\/sqrt(8))*4 + 0 - ((-5 + 2 + sqrt(45) - sqrt(45)) + (sqrt(180) + sqrt(180)*1 + sqrt(180) - sqrt(180))))**2.\nAnswer: 72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3*160\/300)*-2*3\/125.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 340, 677, 1246, 2137, 3440, 5245?\nAnswer: 7642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/17 (c) -4 (d) 6993 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2137 - 2102.98. Let r = 34 - v. Let z = r + -1.98. Which is the closest to z? (a) 2\/7 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/15)\/((-4)\/10). Suppose 5*z - y - 50 = -q*y, -30 = -3*z - 3*y. Let g = z - 5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 + 2*o. List the prime factors of f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101202111020 (base 3) to base 11.\nAnswer: -468424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/18*(12*(-91)\/26)\/2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12315 - 3199 + 3334 - 3647)*(3*x**2 + x**2 - 2*x**2) to z + u*x + w*x**2 and give w.\nAnswer: -31654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 910896514 and 15268.\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 13. Suppose 5*f + 15 = -t, 5*t + 18 = 3*t - 4*f. Put 4, d, t in ascending order.\nAnswer: t, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*h = -0*m + 12, -3*m - 3*h = 12. Suppose m = -6*l + 2*l + 20. Solve -o - i + 2 = 0, -l*i = o - 10*i + 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -870, -5867, -19430, -45843, -89390, -154355, -245022?\n\"Answer: -714*w**3 + w**2 - 2*w - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l**2 + 139*l**2 - 32*l**2 - 43*l**2 - 28*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-38)*(n**(-2\/3))**(1\/39) assuming n is positive.\nAnswer: n**(2219\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3490?\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.2 + 52. What is the second biggest value in -3, n, -4, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-1)\/1 + -1. Let s = 8 + x. Suppose -4*b + s = -a, 0*a - b + 32 = 5*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-11) - (-783)\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 8, f: 4, p: 2, y: 1}. Give prob of picking 1 y and 2 f.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - -41) + -46 - 43?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0543498 milligrams to kilograms.\nAnswer: 0.0000000543498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**21\/b**(-25) assuming b is positive.\nAnswer: b**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 49847 divided by -3\nAnswer: -49847\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*b**2 + 20 - 133*b**2 - 5 - 1169*b**5 - 14 - 2 wrt b?\nAnswer: -70140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/32*(-27)\/(-9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let h(x) = 4231*x + 1. Calculate z(h(o)).\nAnswer: -17901361*o**2 - 8462*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 - 159740*r + 159738 = 0. Calculate r.\nAnswer: 1, 79869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 2*b - 1. Let d be j(1). Suppose -98 = y - d*y. Let o = 67 - 60. Calculate the highest common factor of y and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9932 - -10044. Let c = 33 + 80. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*a + 845 + 832, -5*u = -2*a - 2789. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7388381um in nanometers?\nAnswer: 738.8381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13 + 32 - 14 + 28*d. What is the least common multiple of z(1) and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(1\/((-8)\/(-12))). Let t(i) = i**2 - 12*i + 6. What is t(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*(1*sqrt(288) - sqrt(288)))\/((-2*sqrt(162))\/sqrt(3)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 333387955 to the power of 1\/2, to the nearest integer?\nAnswer: 18259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 3. Suppose 22*t - 18*t - k - 2 = 0, t + 6 = -3*k. Let j be r(t). Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 43*a**3 - 2*a**2 + 2*a - 1. Let s be z(1). Let w(r) = -7*r**2 + 26*r + 11*r**2 - s - 5*r**2. Let l be w(24). Solve 0 = 3*o - l*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-336 + 61 - 291 - 1302)*(-2 + 5 - 5)*(-g + 4*g - 6*g) to q + n*g and give n.\nAnswer: -11208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 16*n + 27. Let v(o) = -5*o - 9. Let i(r) = 4*g(r) + 11*v(r). Let x(u) = u**2 + u + 1. What is -i(q) + 9*x(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/3853 and -11\/139.\nAnswer: 535567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/(g\/((g\/g**(-5\/8))\/g)) assuming g is positive.\nAnswer: g**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 239644300 to the power of 1\/2, to the nearest integer?\nAnswer: 15480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 - 44?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/388 and -115\/972?\nAnswer: 94284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1125 and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:40 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*1\/(4\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 15*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + -1.3. Let n(u) = -u**2 - 7*u - 2. Let w be n(-5). Which is the nearest to -2\/7? (a) w (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 216\/32)*8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 10*m**2 - m + 14. Let l be c(10). Let x = l - 4. Suppose -2*s + 124 + 50 = x. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24015541 (base 6) to base 2.\nAnswer: -10110110111000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -41*u**3 + u**2 - u - 2. Give t(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1 + r**2 - 7 + 0*r**2. Let c be h(-4). Let w(v) be the second derivative of 2*v**3\/3 - 5*v**2\/2 - v. Calculate w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 8.12 (c) 4\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 2, h: 2}. Give prob of sequence ph.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1618744.20087 + 1618724. Let n = x - -20.2. What is n rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 2*h**4 - 2*h**4 + (-h**2 + h**2 - 3*h**2)*(h**2 + 0*h**2 - 2*h**2))*(-5*h + 2*h + 23*h).\nAnswer: 80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6704203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 10*w + 20*w + 368*w**2 - 23*w.\nAnswer: 368*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2373751 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -w - z + 17, -2*w = -5*z - 30. Suppose 0 = w*c + c - 138. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcc when three letters picked without replacement from dccdcwccdccwdccdcccc?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*m**3*v**2 - 2*m**3*v - 3423*m**3 - 3*m**2*v**2 + 8*m**2*v - 1148*v**2 - 2*v + 2 wrt v.\nAnswer: -80*m**3 - 6*m**2 - 2296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-10)\/15 + (-12)\/9. Which is the third biggest value? (a) r (b) -57 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.38 and -0.5.\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 0. Let l = 4 - v. Let b be 39\/(-2)*(-8)\/12. Calculate the highest common factor of b and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 0.2, -14092, 11 in ascending order.\nAnswer: -14092, -23, 0, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4740 + -4467. What is the greatest common factor of 12194 and z?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -263\/5. Suppose 3*r = -a - 3 - 0, 2*a + r + 1 = 0. Suppose 5*n - 10 = a, -d + 13 = -6*d - n. What is the biggest value in j, -2\/11, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 11*c = -5*q - 170, 5*c - 170 = 5*q. Let u = 64 + q. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose -2*s - s + 189 = 3*b, -2*s = -n*b + 189. Is 6 a factor of b\/5 + (-12)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8167*r + 46 - 22 + 24593*r - 24 as u*r + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/90)\/(2\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. What is the third biggest value in p, 1, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/3*-1*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2\/2 + 279138*x - 12986337174 = 0.\nAnswer: 93046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwum when four letters picked without replacement from {w: 3, u: 3, m: 3, o: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24452206953.2482026 + 4296.2482026. Let q = 24452202984.99999857 + v. Let b = 328 - q. Round b to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 7*y - 2. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197679 less than or equal to 2197675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/9*g**5 - 32\/3 - 272\/3*g**3 - 262\/9*g**4 - 1168\/9*g**2 - 704\/9*g.\nAnswer: -2*(g + 2)**4*(16*g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/381609 and -42\/40067.\nAnswer: 39305727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 <= 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44570171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5.63 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 6. Let m be z(6). Let f(d) = d**2 + 6*d + 30. Let q be f(-6). Suppose -3*n = -m*n + q. Is n > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12119\/42864 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001011 + -10111?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 19749360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuug when four letters picked without replacement from {u: 6, g: 2, y: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5*r + 581*g**5 - 2*g**2*r - 645*g**2 wrt g.\nAnswer: -60*g**2*r + 34860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.3, 5, 283?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631583 to the power of 1\/2, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:26 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26337 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 54 = 10*s, -243*k = -s - 248*k + 16. Solve 0 = 2*n + s*c - 9*c - 19, -5*n + 16 = 3*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {f: 3, r: 1, l: 2, p: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g + 1. What is o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*a - 19 = -0*w, -4*a = w - 15. Let d be (w\/(-10))\/(-1) - 0. Let h(n) = -22*n**3 - 129*n**2 - n - 113. Let i be h(-6). Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/15, -1, -4\/7, -2\/19 in descending order.\nAnswer: -2\/19, -2\/15, -4\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 3. Let b be s(-8). Suppose -b*i = -4*j - 36, 2*i + 6*j - j = -12. Suppose -i*q = -2*q - 24. Calculate the highest common factor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4708100 to the nearest 10000.\nAnswer: -4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*n - 2*n - 252 = 0, 0 = 3*n. Let x = -58 - b. Solve 10 = 4*f + 2*t, -x*f + 5*t - 5 = -25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 1\/5, 2, 75\/13?\nAnswer: 75\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 12. Let r be l(11). Let o be (4 + 2)\/(4\/r). Let u = o + 57. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -16, 12, 40?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.3. Let d = 0.19 - 0.19. What is the closest to -4 in d, y, 1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1288 and -1.1965.\nAnswer: 1541.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 36978 - 5516 + 9*x - 5*x.\nAnswer: -4*x + 31462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/232 - 3147\/1160. Calculate the common denominator of 29\/51 and t.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031155 + -353413?\nAnswer: 233342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2*k**3\/9 - 22*k**2\/3 + 224*k\/3 - 11. Factor d(z).\nAnswer: 2*(z - 14)*(z - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.9. Let f be (-2)\/(-6) + 1\/6. Let s = 551\/8 + -69. Which is the nearest to g? (a) -4 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 483032 or 485727?\nAnswer: 485727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - h = 0, -y - 5*h - 18 = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-5))\/i**14 assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 1. Let f be q(3). Let k = 11 - f. Let b(g) = 3*g + 3. Let v(s) = 3*s + 4. Let z(i) = -4*b(i) + 3*v(i). What is z(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 - 4527481*v\/2 - 1509161.\nAnswer: (v - 1509161)*(3*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4247 - 4253. Sort 3, v, -2, 0, 9 in increasing order.\nAnswer: v, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19454850 to the nearest 100000.\nAnswer: -19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3598700 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -37*d + 20. Let p(m) = 102*m - 61. Calculate 4*p(v) + 11*q(v).\nAnswer: v - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -100\/117, 927 in increasing order.\nAnswer: -100\/117, -0.2, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + l**2 + 5*l**2 + 0*l**2. Let m(p) be the second derivative of -p**3\/6 - 711*p. Determine n(m(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13013952 divided by 135562.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/84*1*-35?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:09 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12800 and 24200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**5\/120 - j**4\/24 + j**3\/3 + 32. Let i(d) be the third derivative of t(d). What is i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*w**3*x**3 - 6*w*x - 8*x**3 wrt w?\nAnswer: 1008*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*v + 7. Solve 1 = 3*g - v*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 + -1 + -69 + 75 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17 (b) -1 (c) -2\/35 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -23 - (2 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -3. Calculate the greatest common factor of t and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(((-6)\/(-255))\/(763\/(-2180))).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2511887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/27, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*j**2 - 713*j**2 + 1444*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*4)\/sqrt(10) + sqrt(11))**2*6.\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*x - 711*x - 389*x)*(x + 0*x - 2*x).\nAnswer: 1255*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 26. Let u = -68 - -56. List the prime factors of l(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505.228 - 1\nAnswer: 504.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000582668016 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtqqvvvvqvqqqv. What is prob of picking 1 t and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4731998 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*6\/36)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -280?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.1 - 441.1. Let k = -218 - d. Let p = -187.99604 + k. What is p rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 3*x**2 - 2. Let n be z(3). Let v be n + -2 - 27\/(-3). Suppose 0 = -v*d + d + 4220. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 42473939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106\/21 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2 - 6*a + 3. Let k(w) = -8*w**2 - 9*w + 4. Let q(s) = 3*k(s) - 4*r(s). Factor q(x).\nAnswer: x*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times -0.02853\nAnswer: 0.059913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -139.064 and 0.071 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 3. Let g be o(-5). Let w = 22 + -10. Suppose w*t - 15*t = 0. Put 3, t, g in ascending order.\nAnswer: g, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**7\/7 + n**6\/15 - 2*n**3\/3 - 4*n**2 + n - 29. Find the second derivative of u(d) wrt d.\nAnswer: -120*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 193 = 227 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -80. Let m = 18\/179 + -520\/1611. What is the closest to m in -0.09, h, 3\/2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -23438199.\nAnswer: 2343819.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 4*t + 8. Let c(o) = o**2 - 3*o - 7. Determine -6*c(w) - 5*j(w).\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*-3*5) + -2 + -2*sqrt(300) + 3 + sqrt(300) + (sqrt(300) - (((2*sqrt(300))**2 - sqrt(300)) + -3)) + sqrt(300) + sqrt(300).\nAnswer: -1196 + 449*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -i + 8*s - 6*s, -i - 2*s = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**5\/60 - q**4\/18 - 4*q + 1. Let u(v) be the first derivative of k(v). Factor u(a).\nAnswer: a**2*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 1:19 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2017 - -1420. Let d = 735.5 + p. Round d to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -24. Sort -4, o, 5 in descending order.\nAnswer: o, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-114)\/(-2660))*(-9)\/(90\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.08 - -0.9. Let x = 13.18 + k. Is x at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or -0.07172?\nAnswer: -0.07172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 901 and 9979?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156002830?\nAnswer: 2, 5, 71, 1628173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*x - 27. Solve r = -x*h - 19, 3*r + 9 = 2*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*k = -0*a + 12, 24 = 3*a + 5*k. Let v be (a - 10 - -10)*4\/3. List the prime factors of (6 - (9 - v))*161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in 1\/6, -1\/4, -0.19336?\nAnswer: -0.19336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {f: 1, c: 1, i: 1, n: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*d - 16, -4*g - 5*d + 2 = -0. Calculate the remainder when 30 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and 1849\/2607 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -1, -4 in ascending order.\nAnswer: -4, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-120))\/((7\/21)\/((-5)\/(-2)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 3*v**3 + 4*v + 0*v + 0*v. Let j(b) = -b**4 - b**3 + b**2 + b. Let a(s) = -f(s) + 3*j(s). What is the second derivative of a(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 270 - 192 = -66 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b - 10, -5*k - 3*b = -1. Sort k, -3, -4, 92.\nAnswer: -4, -3, k, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-77)\/(-56)) - -542. Let s = u + -79. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + a**3 + 6*a**4 - 9 + 10 to the form r*a**4 + h*a**2 + p + x*a**3 + u*a and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*(a**(-2\/11)\/a*a)\/a))**(13\/4))**(-2\/57)*a**8*a**(4\/5)*(a**(2\/9))**(-21) assuming a is positive.\nAnswer: a**(12178\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.84 + -0.16. Let j = -132 + 131.8. Let h be (-4)\/2 - (0 - 24\/13). What is the nearest to -0.14 in f, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9424 and 4.\nAnswer: -37696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Let o(f) = -51*f**2 + 19*f**2 + 25*f**2. Give -3*c(p) + o(p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 h, and 1 o when four letters picked without replacement from htoahhk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 5. Let p be t(-5). Suppose p = j + a + 66, 3*a - 278 = 5*j - j. Let v = j + 102. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*a = 430, -2*s - 101 = 4*a - 243. What is the common denominator of -59\/15 and (-16)\/24*s\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*s + 10*s - 13*s + 35*s as i + j*s and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19*i**2 - 10*i - 4164. Let q be w(-86). What is q rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.3. Let l = -26 + 26.37. Let m = l + -0.67. Put -1, z, m in decreasing order.\nAnswer: z, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 15 + 15 + (5 - 12 - 4)*(0*z + z - 2*z) to the form a*z + m and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-126)\/(-21)*18\/540).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11245*g**2*x**4 - 185960*g**2*x + 12*g*x**2 - 4*x**4 + 2*x**3 wrt x?\nAnswer: 269880*g**2*x - 96*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.228986 and -59656.\nAnswer: -59655.771014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 499 (base 12) to base 4\nAnswer: 22311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (3 + -5 + 3). Suppose 0 = 4*z - 2 - k. Let b(s) = 260*s**3 - s**2 + 2*s - 1. Let u be b(z). What is the greatest common factor of u and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a**3 + a**2 + 519*a + 8. Let u(b) = -5*b**3 - 173*b - 3. Let s(v) = 3*r(v) + 8*u(v). What is the second derivative of s(z) wrt z?\nAnswer: 30*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 349308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i + 6493 = 186*i - 194022. What are the prime factors of i?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/2 (b) -5 (c) -1\/3457 (d) 5 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1780280928 to the nearest integer?\nAnswer: 42193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/407?\nAnswer: -2\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 98*z**3 + 727*z**2 - 1292*z - 1156.\nAnswer: (z - 2)*(z + 17)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 46581702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*a*i + 52912*a - 2070745*i wrt a?\nAnswer: -17*i + 52912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 21*v + 219. Calculate r(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142863942?\nAnswer: 2, 3, 13, 1831589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/34)\/(9 - (-120)\/(-16))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*15\/(-80))\/((-84)\/(-32))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-30) - (-24)\/10. Suppose t = -0 + 3, -104 = -5*h + b*t. What is the remainder when (-4)\/(-16)*4 - (-39 + -1) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 (base 4) in base 13?\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 17. Let u be k(17). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/75 and 11\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -18. Let v be 2 + (-16)\/o + -1. Suppose -v*u = 4*c - 1186, 0 = 2*c + 2*c - 4*u - 1204. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 87. Let b be (-14)\/(-147)*-3 + (-696)\/l. What is the common denominator of (-870)\/(-16)*(-20)\/b and 97\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.45235.\nAnswer: -5.8094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -415, -1662, -3741, -6652?\n\"Answer: -416*m**2 + m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 + 36\/28. Suppose -d = 4*t - 8, 2*d = d + 4. Suppose i = t + 1. What is the closest to w in i, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 t, and 1 j when four letters picked without replacement from ttttjtrtrt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Suppose 0 = -n*v - 4*v + 16. Suppose 0 = 4*m - 2*q - 8, -v*m + m + 6 = -2*q. Solve -3*t = -t, -m*t = 5*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*v - 110, -2*s - 138 = -3*v + v. Let l = 239 + -368. Let b = v + l. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/15*(-78)\/4368.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522234803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26083 is divided by 3470.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 2, -5, -4, -2, 5.\nAnswer: -5, -4, -2, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261376207.\nAnswer: 7, 13, 919, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 58. Does 34 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddyddddddy. What is prob of sequence ydy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -24*x**2 - 28*x**2 + 107*x**2 - 29*x**2 - 30*x**2. Let c(b) = 282*b. What is c(i(v))?\nAnswer: -1128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.22383 rounded to zero dps?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5*b - 1. Let k = 2052 + -2047. Give o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16 and -17.4.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-3)*38)\/11 and -67\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5. Let i(g) = 3. Let o(q) = -7*i(q) - 4*s(q). Let p(z) = z**3 + z**2 - 3. Determine 3*o(n) - p(n).\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155963 or -155964?\nAnswer: -155964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g**3 - 61*g**2 + 134*g**2 - 73*g**2 - 226.\nAnswer: -73*g**3 - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 44020423?\nAnswer: 44020430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 46*d**4 - 5*d**3 + 43*d**2 + 10. Let g(x) = -47*x**4 + 4*x**3 - 42*x**2 - 8. Let y(q) = 5*g(q) + 4*l(q). What is the third derivative of y(i) wrt i?\nAnswer: -1224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001619 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-297)\/(-330)*205\/(-2706)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -129601 - -5\nAnswer: -129596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*a**4 - 342*a**2 + 2 - 554*a**4 - a**3 + 342*a**2 as w*a**4 + t*a**3 + u*a + x*a**2 + h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 o when four letters picked without replacement from zoozzooozo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 4, 23, 60, 121, 212, 339?\n\"Answer: r**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/20 + 5*u**4\/6 - 2*u**3 + 29*u**2\/2 - 463*u. Give h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 22*n - 5 - 6 + (-13 - 20 + 3)*(0 + 0 + 2*n).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let w(l) be the first derivative of 5*l**4\/4 + 3*l**2 + l + 24. Let m(y) be the second derivative of w(y). Determine b(m(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-82 - -45) + -19 + -8.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48076028 divided by -308\nAnswer: 156091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z - 32. What is y(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:23 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 4125236576?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 less than 0.04758434?\nAnswer: -123.95241566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(176) + sqrt(176) + -1 + sqrt(176) + (sqrt(176) - (sqrt(176) + -2)))**2.\nAnswer: 26*sqrt(11) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1160 + -1159.6. Let g = 5 + 0. Suppose -z + g*u = 3*z + 12, -9 = 3*z - 3*u. Which is the closest to 2\/3? (a) x (b) z (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 + q. Let g be o(2). Let d be (-5)\/12 - (96\/g - 6). Let n = 3.5 + -3. What is the second smallest value in d, n, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f)**(-23)\/(f*f**(-4)*f*(f**(-3\/13)\/f)\/f*f*f) assuming f is positive.\nAnswer: f**(1823\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((-22)\/(-4) - 0). Solve 4*h - 10 - 6 = -4*g, 0 = w*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100502992 + -100502928.0000408. Let v = m + -64. Round v to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4932 = -0*v - 3*v, v = -3*a + 1652. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 15 - 1 = 0. Suppose 0 = -p + a - 4. Suppose -p*o = -25 - 23. Calculate the remainder when 46 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7111\/21 + 2578\/7. Which is smaller: q or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 38*d + 43. Let t be l(-18). Let w(p) = 2*p - 13. Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l - 6*l + 0*l + 5 - 5 + 2*l + (5 + 1 - 5)*(-5*l + 4*l + 0*l) - l + 2*l - 3*l + 372 - 22*l - 372.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -15. Let i(l) = l**3 + 6*l**2 + 5*l + 4. Let g be i(-5). Let f = u + g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*l**4\/11 - 370*l**3\/11 + 1732*l**2\/11 - 410*l\/11 = 0. What is l?\nAnswer: 0, 1\/4, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392899*g*t**3 - g*t**2 + 2*g - 376853*t**3 wrt g.\nAnswer: 392899*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 + 60\/16. What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l - 1. Let a(t) = -3*t**2 - 7211*t + 4. Determine -a(c) - 4*o(c).\nAnswer: -c**2 + 7215*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 = 5*i - 342. Suppose -k + i = -0*k + o, 3*k - o - 692 = 0. Suppose -37*v - k = -40*v. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Suppose 0 = 3*q + 15, 4*f = 5*f + x*q + 7. Find the third derivative of f*v**5 - 6*v**2 + 4*v**2 + 0*v**5 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 24\/7*r**2 - 16\/35*r**5 - 16\/21*r**3 + 0*r - 13\/7*r**4 - 166. Factor y(n).\nAnswer: -4*n*(n + 2)**2*(4*n - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*f - 22545 + 29997 for f.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*5008.2.\nAnswer: 265434.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22.5173844 microseconds?\nAnswer: 0.000000000260617875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -16366?\nAnswer: 16352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.01 - 0.01. Let x = -20.3 + 22.3. Which is the closest to x? (a) 0.06 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -231*h + 115*h + 117*h + i, 3*i = 5*h - 102 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1625 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + q + 124. What is the tens digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-75) - (-5)\/(-7)*20\/150. Which is the third biggest value? (a) n (b) 0.13 (c) -0.2 (d) -3 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose h*g = r - 5 - 5, 3*g + 10 = -r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2085892567?\nAnswer: 11, 31, 6116987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uccuchhcycic. What is prob of picking 2 c and 1 i?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 355 - -4?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 200161600 rounded to the nearest one million?\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0, 0.5, 12, -326.8, -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 46. Suppose -513 = j*x - 4*x. Suppose -3*p = -12*p + x. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*m**2 - 76*m - 168.\nAnswer: 4*(m - 3)*(11*m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7 + 6*t - 1 + 7 - 7 + 4*t**2. Let s(f) = -5*f**2 - 7*f + 7. Let v(p) = 4*l(p) + 3*s(p). Let r be v(-5). Are r and -2\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggnggggggggggngng. What is prob of picking 2 g?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 9 + 14 - 12*g - 6*g in the form p + j*g and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045906 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 7*f + 798. Let c be (f\/(-165))\/(2\/(-170)). Let t = 53 + c. Solve r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010000101100001 (base 2) to base 9\nAnswer: 62603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**5\/20 - 9*s**4\/8 + 9*s**2 + 3*s. Let z(f) = 0. Calculate f.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 1\/3 (b) -4 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 0*d**2 - 9*d + d - 3. Let t be x(9). Suppose 4*h = t*h - 6. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141.575 and -1?\nAnswer: 141.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1455 - -1466. Calculate the remainder when 53 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.1, 1, -182\/3961, -1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 266*q + 534. Calculate i(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 19*i**2 + 30*i - 21. Let a be (76\/8 - -1)*-2. Is 53 a factor of v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/(-168)*68\/5 and 27\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -135*i + 139*i + 29, 2*i + 3*s = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332767*o = -332666*o - 4343 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:14 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.5493 years to centuries.\nAnswer: 8.585493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -11.1. Let g = 4.1 + -5. Let y = g - h. What is the third biggest value in y, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-11)*(-57)\/((-2508)\/2420)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:04 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5576 and 1537913772?\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*s**3 + 5*s**3 + s**2 + s - 11*s**3 + 0*s**2 to t + u*s + q*s**2 + i*s**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021586896?\nAnswer: 2, 7, 18049883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3*3*(-688)\/12*7\/42)\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 3\/227, -1, -7, -0.03, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 2c2?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2708 divide 105984410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 3*d, 0*l - 3 = 4*l - 5*d. Suppose 0 = u + l*r - 7, -4*r = -4 - 0. Suppose 24 = 3*s - s - u*o, 3*s = -4*o - 14. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (18 - 15) - (33 + -22 + (2 - 5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*h**4 + h + 89 wrt h?\nAnswer: 2712*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365447 < 365448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2. Let u(o) = -3*o. Let z be 0 + 10\/(4\/2). Let k(p) = -2*p. Let h = -1841 - -1835. Let s(l) = h*k(l) + z*u(l). Give r(s(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -8*x**3 + 12*x**2 + 8*x = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*q**2 + 2*g**3*q + g**3 - 3*g*q - 16*q**2 wrt q?\nAnswer: 10*g**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6584, 6592, 6600?\n\"Answer: 8*x + 6576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54a7632 (base 11) in base 2?\nAnswer: 100100110110000010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42067 or 42066?\nAnswer: 42066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -147.71834*5\nAnswer: -738.5917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -788.1 - -788. Which is the nearest to y? (a) -0.2 (b) -3 (c) -0.04 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = -4*p. What is the units digit of (p - 77)*408\/(-119)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*f - 1627*f = 558*f - 297*f - 280800 for f.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 58*n - 55*n - 57, -d = 4*n - 40. Solve 3 = g - 2*b - 7, -d = 4*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/((s**(-2)\/s)\/s))\/(s**(2\/5)\/((s*(s\/s**(-2\/9))\/s)\/s))*s**(-1\/9)*s*s*(s*s\/(s\/s**(-6)))\/s*s*s**(1\/5)\/s**(-7) assuming s is positive.\nAnswer: s**(626\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3150)\/(-100) + 9\/(-6). Suppose u = 5*r - u - 44, 2*r = 2*u + 14. What is the greatest common divisor of r and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -1, 27, 67, 119, 183?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/24 - x**3\/3 + 15*x**2 - x + 9. Let p(o) be the first derivative of y(o). Let n(g) = g + 3. Determine 4*n(j) + 5*p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 - 78. Let t = 2602 - 2357. What is the highest common divisor of t and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.5, -0.14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -6?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*t = -202*t + 500*t + 19950 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-357))\/(33\/(-385)). Factor -t*w + 2\/3 + 2\/9*w**2 + 2\/9*w**3.\nAnswer: 2*(w - 1)**2*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 315 = 13*f. Suppose -1100 = -f*h + 11*h. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 5)*(-f - f + 3*f)*(3 + f - 3).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvhjthhtjthjtt. Give prob of picking 2 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g + 3*g - 764 = 0, 2*x + 2*g = 304. Is x a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1353)\/99 - (-1 - -1))*-3. Calculate the greatest common factor of a and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*a + 3 = -2, 5*p - 40 = -5*a. Suppose 59 = -5*z - p*g + 264, g + 51 = z. What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7673?\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x + 5. Let m be c(4). Let k be (-1)\/(1 - (-44)\/m). Suppose k = 2*q + n, -6*q + q + 3*n = -91. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 1 b when three letters picked without replacement from bbtbuttbuttbt.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 3*l + 3*l)*(815 + 718 - 965) as z*l + w and give z.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/24 + 6*x**2. Let a(b) = 4*b**2 + 12*b. Let s(g) = -a(g) + 8*y(g). Factor s(k).\nAnswer: -4*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 91 - p**2 + 279)*(-7 + 4*p + 7).\nAnswer: -4*p**3 + 1632*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -762, -23, -2, 4 in descending order.\nAnswer: 4, -2, -23, -762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101111111110 + -10011001001010?\nAnswer: -1101001001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1232*j - 2183. Let b(q) = 3*q. Determine b(p(t)).\nAnswer: 3696*t - 6549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/(-27) + (-8)\/6 - 0\/(-59)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435894560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -711, -1556, -2741, -4266, -6131, -8336?\nAnswer: -10881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - 9*y + 1. Let r(p) = -p**2 + 112*p - 5. Let w(u) = 21*u - 1. Let d(h) = 4*r(h) - 22*w(h). Give 5*d(n) - 8*g(n).\nAnswer: 4*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 86.0309 decades?\nAnswer: 0.860309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (((sqrt(152) + -2*sqrt(152))*-3 - sqrt(152))\/sqrt(8) - -4*(sqrt(171) + -1 + sqrt(171) - sqrt(19) - sqrt(19))))*6.\nAnswer: -216*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3603362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o. Let u(s) be the first derivative of -s**4\/3 - 9*s - 4. Let x(f) be the first derivative of u(f). Give y(x(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-27) + (-89332)\/(-72). Let d = b - 1216. Let q = 10391\/1288 + 27\/184. Calculate the common denominator of d and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 7. Let u be o(5). Suppose 0*a = -u*a + 20. What is the remainder when 19 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10759123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -0.5, 0.307, -1, 2\/5, -1\/4 in ascending order.\nAnswer: -1, -0.5, -1\/4, 0.307, 2\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(sqrt(48) + sqrt(12)))\/(sqrt(16)*1) - (sqrt(65)\/sqrt(5) + -2 - (-3*sqrt(143))\/sqrt(11)).\nAnswer: -23*sqrt(13)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126008526761\/113 + 1115111705. Let k = w + 8001. Calculate the common denominator of -97\/6 and k.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -13, -26, 11\/3, 0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - h**2 - 4*h + 6 + 3*h - 3*h. Let a be y(8). What is a rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-14) + 18\/42. Let j(r) = -r**2 + 3*r. Let x be j(u). Sort x, -3, -5 in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20710744070 and 0.2.\nAnswer: 20710744070.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2265913 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 105 - 23*l - 105 + (-1 - 2 + 4)*(-6*l + 2*l + 2*l) + (3*l - 5*l + 4*l)*(-2 + 1 - 1).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16105069 divided by 17.\nAnswer: -947357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1775 and 33219125.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*11\/55*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -15. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000299822168 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*5\/25 - 24\/(-10). Determine j so that -j**2 + 4*j**3 + 4*j**4 - j - s*j - 3*j**2 + 0*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15220 + 76102\/5. Sort -41.8, t, -2.\nAnswer: -41.8, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 87 - 47. Let x be (5\/d)\/((-6)\/4)*0. Which is the nearest to x? (a) 1\/6 (b) -4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 11. Let m(w) = w**2 + w + 2. Calculate m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*c + 448*c = 20. Solve -4*z + 3*p = -p, 0 = -c*p - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -584 and -1.3982?\nAnswer: 816.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30715 is divided by 3412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-6)\/((-18)\/5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -349 or -414?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + -6.8. Let t = 6 + -4. Which is the nearest to t? (a) -0.3 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 8:18 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291.9 + 292. Let v = 0.16 - 0.18. Which is the biggest value? (a) v (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 72 - 76 - 16 - 2*h**4 - 2*h**2 - 54 - 60 to the form u*h**2 + k + n*h + x*h**3 + i*h**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17447.060001 - 17447. Let i = q + -0.06. What is i rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 1, d: 3, w: 2, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = m + 2*o, 5*m = 4*o - 10. Suppose 45 = g + m*c, 0 = 3*g - 3*c + 71 - 224. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 9. Suppose -2*n + s = -0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158744.895 to the nearest 10.\nAnswer: 158740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -309025056 to the nearest 1000000.\nAnswer: -309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.18 - -3.05. Let k = -0.37 + s. What is the biggest value in k, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 0.3, -1\/2, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142405873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 38*c - 147*c - 123*c + 308*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3753 divided by -2\nAnswer: 3753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*f - 410*f = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26958 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 524 divided by -2281?\nAnswer: -524\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6919826.\nAnswer: 2, 23, 150431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 7*p - 8*p - 9 + 20*p. What is u(10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -228*h + 232*h - o - 121, 0 = 3*h + 2*o - 110. Calculate the highest common factor of 304 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 26*x**2 - 335*x - 15. Determine t(-8).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:50 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30390085793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -711*g**3*i**3*u - 2*g**3*i**2*u + g*i**3*u - 127*g*i**2 + 2*i*u wrt i.\nAnswer: -4266*g**3*u + 6*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k**2 + k**2 + 0*k**2)*(3*k**3 + 2*k**3 - 3*k**3 + 2 + k**3 - 2 + (-5*k**2 + 4*k**2 + 0*k**2)*(0*k + 3*k - k)).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*n**2 + 24*n**2 - 17*n**6 - 29*n**2 wrt n?\nAnswer: -2040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3173724542 and -23\/18.\nAnswer: 28563520878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/360 + i**5\/60 + i**3\/2 + i. Let f(g) be the second derivative of y(g). What is the second derivative of f(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/24 + k**2. Let s(y) be the second derivative of -y**3\/2 - 2*y. Calculate s(q(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2673 + -2688. Which is smaller: -0.04 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33176 is divided by 5527.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8444520 to the power of 1\/2, to the nearest integer?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 16531*z**3 - z + 16539*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13980 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f - 26*f + 22*f**2 + 4*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5102943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 8*w**2 - 7*w + 14. Let i(p) = -4*p - 46. Let n be (-3)\/(-9*(-4)\/168). Let l be i(n). List the prime factors of a(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from rje.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 5\/4617, -1.3?\nAnswer: 5\/4617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + -11. Let f = -64 - z. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Suppose -4*x - q + 538 = 0, q - 2*q = -p*x + 668. Let n = 25 + x. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319780735 a multiple of 8155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0 + 1\/84*v**4 + 0*v**3 + 2\/147*v**7 + 1\/35*v**6 + 0*v + 1\/35*v**5 + 1\/392*v**8 - 2*v**2. Factor m(i).\nAnswer: 2*i*(i + 1)**3*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -77, -67, -15, 85, 239, 453, 733?\n\"Answer: o**3 + 12*o**2 - 69*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 13*d**4 + 3*d**3 + 15*d**4 - 16 - 3*d**3 in the form c*d + v*d**3 + j*d**2 + h + b*d**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.777553l in millilitres?\nAnswer: 9777.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 48. Let z be f(9). Let w(h) = -5*h**3 - 1. Let r be w(1). Let o be (36\/63)\/(r\/(-7)). Which is the nearest to o? (a) 4 (b) z (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r, 2*r + 2*r - 13 = -z. Suppose v + z = -19. Does 3 divide (-18)\/v*2*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -525*s**6 - 37*s**4 - s**3 - 124269*s**2 wrt s?\nAnswer: -63000*s**3 - 888*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8086 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -270634 - -10650763?\nAnswer: 10380129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36573.2 + -36573.6. Suppose o + 1 = -3*q + 21, -q = 2*o - 15. Sort r, -5, o, -1 in increasing order.\nAnswer: -5, -1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 723915582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) 4 (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 24*f**3 + f - 1. Let r be l(1). Suppose -2*h + 62 + r = 0. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.9. Which is the closest to w? (a) -2 (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 11*p**2 - p - 10. Let l be x(-11). Let k be 0 - l*(-2)\/(-2). Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, 1 e, and 1 o when four letters picked without replacement from floefto?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316004.1nm to kilometers.\nAnswer: 0.0000003160041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0083 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**6\/144 + 5*r**5\/6 + 125*r**4\/4 + 5000*r**3\/9 - 404*r**2 - 4. What is a in z(a) = 0?\nAnswer: -40, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-3 - -3) + 13 + (-2325)\/135. Let s be -2*(-1)\/(-36)*-1. Which is the third biggest value? (a) s (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68994 divided by -3.\nAnswer: -22998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16966350689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1407521 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -5 (b) 3 (c) 2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let c(a) = -60*a - 7. Let r(p) = 30*p + 4. Let k(m) = -4*c(m) - 7*r(m). Determine w(k(t)).\nAnswer: -900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87343343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.29 + -49. Let f = i - 0.29. Which is the smallest value? (a) 5 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1, 1.36176, 112, 2\/9 in increasing order.\nAnswer: -1, 2\/9, 1\/4, 1.36176, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17474 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 7*v - 4*v - 4*n, 3*v - 2*n + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/24 and -143\/49116.\nAnswer: 98232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j - 5. Let v(c) = -10 + 2 - 4 + 4 + 14*c. Determine 8*b(q) - 5*v(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znzn when four letters picked without replacement from nwwzwnwwz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -540597 or -540598?\nAnswer: -540597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/((-99)\/(-33))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*p + 34*p = 19*p + 2266 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/293875 less than or equal to 186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 + 3 = 0. Let l be -1 + (2 + -1 - 0). Let n = l + 0. Sort n, j, 5 in descending order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -658 + 658.4. Let g = -0.192 + -0.018. Which is the second smallest value? (a) i (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + v + 5. Let x(w) = 1. Let d(k) = s(k) - 5*x(k). Suppose h + 1 = -5*f + 15, 0 = -5*h - f - 26. Let r be h\/14 - 60\/(-42). Give d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568*z - 496*z + 288 = 0. Which is the closest to z? (a) -2\/21 (b) -4 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let z = g + 10. Suppose -z = -4*u + 1. Solve 0 = 6*r - u*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -331*f**2 + 2646*f + 1. Calculate s(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5791.9233 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1013 - -6497. List the prime factors of z.\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 2*p + 3 + 2*p. Let q = 4 - 0. Let u(r) = 3*r + 2. Calculate q*l(i) - 5*u(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyggqyxqzyyyyb. What is prob of sequence zyqq?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/11 - 4*k**3 + 282*k**2\/11 - 40*k + 200\/11 = 0?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3*d)\/d*d**(-2))\/(d*d*d**0*d*d\/(d\/(d**(2\/3)\/d)*d)))**(-1\/9) assuming d is positive.\nAnswer: d**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 5*v - 2. Let b be y(1). Let j(i) = -3*i**2 - 2*i + 210. Calculate the remainder when j(b) is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microsecond in nanoseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 1312*a - 119426. What is h(130)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 31 = 25. Let d = h - -67. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 24 = -28. Suppose 2*w + 2*u - 197 = 5*u, 0 = 2*u + v. What are the prime factors of w?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2058 - -2259. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 - 5*w + 6. Suppose -4*h = -4*g - h - 26, 3*g + 23 = 4*h. Calculate b(g).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 46 = 4*w. Suppose -2*l = l + 21. Is l\/2*w + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - l = -40. Let f = l - 9. Let j = -6 - -8. Calculate the remainder when j is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffmu when four letters picked without replacement from {m: 4, f: 3, u: 6, x: 4}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(7) + sqrt(7)*-2) + 5 + (-5*sqrt(1008)*-1 - 5*-2*sqrt(1008)))**2.\nAnswer: 3580*sqrt(7) + 224387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10412733*a**3*g**2 + 25*a**3*g - 2*a**2*g**3 - 75*a**2 - 498*g + 1 wrt g?\nAnswer: -20825466*a**3 - 12*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*w + 14. Suppose 2 = 5*a + 2*n, 5*a - 4*n + 10 = -9*n. Suppose -a*t + 29 = h, t - 13 = -h + 16. Calculate the remainder when h is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/180)\/(1\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - -6.9. Sort -3, 0, a.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286013*w**3 - 141451*w wrt w.\nAnswer: -1716078*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 20. Give m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(sqrt(1900)*2 - sqrt(95)\/(sqrt(5) + sqrt(5)*1)) - (-2*(sqrt(19) + 1) + -5 + sqrt(76)\/sqrt(4))))**2.\nAnswer: 5040*sqrt(19) + 274041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*u**2 + 188.\nAnswer: -270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykosysypyysyyosyo. What is prob of picking 2 y?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -5, 2, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211530 + 106045 - 56*k**2 + 105485.\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813014 to the power of 1\/2, to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -155b7 - 480?\nAnswer: -15a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**3 - 1 + 12*w**3 - 11*w**2 + 3*w**3 to the form z*w**3 + y + a*w + s*w**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.039 (b) 0 (c) 2\/9 (d) 3 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/11 - 5092*r\/11 + 10176\/11 = 0.\nAnswer: 2, 2544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8160, 5, 1, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1749 by -130776.\nAnswer: -583\/43592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from pstqzpz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Suppose 3*m - 52 = 5*i, 8*m = b*m - 5. Let a = i - -21. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 2 - 2)*(3 + 0 - 5) - 44*r**3 + 23*r**3 + 10*r**4 + 27*r**3.\nAnswer: 14*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 + (13 + -1 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 601675 - 112715. Is (-7)\/(-5) + j\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 117014?\nAnswer: -43\/58507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1292579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 466067 and 2395?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/60 - i**5\/12 + 5*i**3\/6 - i**2. Let s(m) = 6*m**2 + m - 1. Let y be s(-1). Is 11 a factor of z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.4, 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:52 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*n - 94*n + 18*n - 82*n - 119*n.\nAnswer: -462*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 - n**2 - 14*n**2 - 2*n**4 - 1 - 5*n**3 + 12*n**3 to the form b*n**2 + x*n**3 + u*n**4 + w + r*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*r**2 - 3307*r**2 + 762*r**2 - 2232*r**2 - 701*r**2.\nAnswer: -4960*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q. Let h(y) = 39*y - 69*y - 9*y**2 - 6*y**2 + 30*y. Determine h(f(k)).\nAnswer: -3840*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 58073 (b) -2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2cd - bb6bc?\nAnswer: -bb9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-12)\/2 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 187*f + 426. Let a be i(44). Let j(q) = q**3 + 59*q**2 + 55*q - 178. Give j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7646*f + 1051 - 1051.\nAnswer: -7646*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.72 and -0.04?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89184162.\nAnswer: 2, 3, 3347, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -32*d - 54. Let a be w(-2). What is the greatest common divisor of a and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1819 and 14924.\nAnswer: 13105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v - 7. Let d = v + 15. What is the least common multiple of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(-4*l + 13 + 3*l + 35*l**3 - 32*l**3) to i*l**2 + g*l**3 + z*l + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, -8, -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 1, -5.\nAnswer: -9, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44850076 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2132103 (base 5) in base 7?\nAnswer: -211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*n + 35, -3*m + 6 = -2*n - 13. Suppose 25 = -21*j + 26*j. Solve -10 = 5*p - j*s, -4*p = m*s - s - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 392*f - 23415. What is k(244)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t*w - 1431*t - 8817*w with respect to t.\nAnswer: -3*w - 1431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.6 - 26.5. Which is the third biggest value? (a) r (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4564*u = -31844 - 32052 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 379126, 758243, 1137354, 1516459, 1895558?\n\"Answer: -3*h**2 + 379126*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 3*o - 2*o + (0 + 1 - 3)*(3*o + 3*o - 4*o) + 2*o + 0*o - 6*o - 6.\nAnswer: -9*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -463.6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -571.266450183.\nAnswer: 563.266450183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 356429 at most 357847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -3*n**4 + 31*n**3\/6 + 7*n**2. Is b(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6 - l - 9 + 6. Let j(v) = 2 + 2 - 3. Suppose 5*o = 2*o + 5*d + 1, -2*o = -4*d. What is o*j(h) - m(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y - 16. Suppose -5*o + 13 = -3*u + y, -8 = -4*u. Suppose -o*m + 10 = 4*c - 2*c, 12 = -3*m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j - 3\/8*j**2 - 9\/2 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 + 267 + 3*q - 5*q + 8.\nAnswer: -2*q + 522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18340 = 5*a - 17015. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38395215 - -132343.\nAnswer: -38262872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - -2*102\/60. Find the third derivative of -7*o + 11*o - 51*o**5 + s*o**2 + 9*o - o wrt o.\nAnswer: -3060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -6 - 6\/7*j + 2\/21*j**3 - 2\/7*j**2. What is f in z(f) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - h + 7 + (-4*h + 0*h + 3*h)*(-28 + 10 - 2) - 4*h - 3*h + 4*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmmmmmmmmmmmmmtmtq. Give prob of sequence tqmm.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-24) + ((-68)\/12 - -3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 753 + 9378. Is v a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 969*o**2 - 5*o + 7. Let a be x(4). Let z = -371717\/24 + a. Find the common denominator of 28\/27 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(513)\/(-1*sqrt(9)) - 2*sqrt(228))\/(sqrt(300) - (sqrt(300)*-4 - sqrt(300)) - 6*-2*sqrt(3))*2.\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 36. Suppose -4*b = -3*f + f + 156, o*f - 3*b - 297 = 0. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123\/349 or 0?\nAnswer: 123\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/206052 and -193\/206052?\nAnswer: 206052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.86 + -0.14. Put -1\/7, -2\/11, 5, x in ascending order.\nAnswer: x, -2\/11, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -686 + 686 - 54*k**5 + (3*k**3 - k**3 - 3*k**3)*(3 - 3 + 2*k**2) + 12*k**3 + 3*k**5 + 5*k**3 - 15*k**3.\nAnswer: -53*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 6*j**2 - 8*j - 10. Let l be h(-5). Let k = -362 - -368. Solve -4*a = -l*i + 25, 4*i - 14 = 5*a + k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p**3 - 17*p**2 + 17. Suppose 17*r + 646 = 55*r. Let a(l) = -7*l**3 + 6*l**2 - 6. Calculate r*a(j) + 6*w(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -2*a. Suppose 4*v = 2*c + 3*c - 7, -2*c + a = -4*v. Let r(i) = -i**3 - 4*i**2 + i + 1. Let w be r(-4). Put -2, w, c in decreasing order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-363982)\/(-244846) + -2 - -1. Let v = m + 200379185\/16579572. Let c = v - -6\/553. Find the common denominator of 15\/14 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101171679 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 22*o + 13*o + 3*o - 15*o.\nAnswer: 23*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -224, -507, -790, -1073?\n\"Answer: -283*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.71 + 13.71. Let m = 0.35 + 0.05. Let d = 3 + -4. Which is the nearest to d? (a) -0.4 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5680 and 6.\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaaaaaaaaeaaeaaaa. Give prob of sequence aa.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779\/3 + -259. What is the nearest to -3\/10 in 1, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55816, -55909, -55994, -56071, -56140, -56201, -56254?\nAnswer: -56299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(16*p - p + 3*p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 17. Let w = p + 1.08. Let q = w - 0.48. Sort 2\/21, -0.2, q in decreasing order.\nAnswer: 2\/21, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/28 and -85\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**6\/120 - 3*w**5\/20 + w**4\/12 + w**3\/3 + 13*w**2. What is the units digit of d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14112 and 26695200?\nAnswer: 80085600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.033 (b) -0.2 (c) 2\/13 (d) 6 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32406*r**2*x + 18864*r*x wrt r.\nAnswer: -64812*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.078 * 119.1.\nAnswer: -9.2898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 15. Let d = 2 - 2.2. Let p = 4.5 + -4. Which is the nearest to -3? (a) p (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26533921*t**4 - 4*t**2 - 1729898 wrt t?\nAnswer: -636814104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/488, -2\/7.\nAnswer: -0.4, -2\/7, 3\/488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/5 - p**4\/12 - 2*p**3 - 3*p**2 + 150*p. What is the tens digit of j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/57 + 5*w**3\/57 - 2*w**2\/19 - 48*w + 14. Let i(b) be the first derivative of s(b). Factor i(o).\nAnswer: -2*(o - 2)*(2*o - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5863, 11739, 17625, 23521, 29427, 35343?\n\"Answer: 5*f**2 + 5861*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*h**2 - 3 - 2*h + 1 - 164*h**3 + 156*h**2 as c*h**2 + i + g*h + v*h**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 567*j - 104288. Determine d(184).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10021 - 13233?\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -5*m**8\/2688 + m**7\/420 + m**6\/960 + 5*m**2\/2 + 3*m + 95. Let z(u) be the second derivative of d(u). Factor z(k).\nAnswer: -k**3*(k - 1)*(5*k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -1667.\nAnswer: -1666.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-85)\/(-25) + 2\/(-5). Suppose 0 = 4*j - 7 - 29. Solve 3*z = u - j, -u - 3*u - g*z - 9 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((4\/8)\/(4\/(-8))). Suppose -23 + i = -5*m. Let l(a) = -a**2 + 5*a + 3. Let d(g) = -g**2 + 6*g + 3. Calculate m*d(r) - 5*l(r).\nAnswer: r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3 - 270*o**2 + o + 270 = 0.\nAnswer: -270, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - q**2 + 3*q**3 - 3*q**3 + (-4*q**3 + 2*q**3 - q**3)*(-1 + 3*q + 1) as x*q**2 + r + j*q**3 + i*q**4 + w*q and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191\/2205 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*u - 35 = -u, -86*r + 90*r - 2*u = -30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5687 in -2, -129\/11, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and -3*178\/(-84) - 4.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 - -12?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2279356 (base 11) in base 5?\nAnswer: -2004330424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -21. What is the third smallest value in -1\/2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 11. Let k(l) = -l - 2. Let b = -25 + 47. Determine b*k(x) + 4*j(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - -2)\/40 + (-161)\/5. Let a = -58 - d. Which is smaller: -27 or a?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -145049 + -5?\nAnswer: -145054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -754*p + 754*p - 72*p**2 + (-p**2 + 2 - 2)*(2 - 1 + 2) to the form o + n*p**2 + c*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + y - 5*m = 12*y + 62, 3*y = m + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1530 - 1168 + 292 - 4118 - 8206)*(f**5 - 2 + 3 + f**5).\nAnswer: -29460*f**5 - 14730","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1 - 2*g + 4\/3*g**3 + g**2 + 1\/2*g**4. Suppose -2*t = -0*t + 4. Determine h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*z)*(0 - 1 + 3) - 3*z - 2*z + 6*z + 2*z - 1 + 1 + 1 - z - 1 + (4 + 0 - 2)*(-z + 3*z - z) - z + 0*z + 0*z - 2*z + 1 - 1 - 3 + 3 - 2*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109311167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/37 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40698\/441)\/19*112\/(-48)*6\/10\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 65*t\/4 - 600.\nAnswer: (t - 30)*(t + 160)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43112\/(-2219))\/((-119)\/49).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from savapjbpvpv. What is prob of picking 1 p and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/(-72))\/(2\/(-4)))\/(32\/(-16))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1535, 1539, 1545, 1553, 1563?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*r**3 + 4790 - 4790 + (r**2 - 2*r**2 + 0*r**2)*(-1 - r + 1) + r**3 - 1 + 1 - 2*r + 2*r - r**3 to the form y*r**3 + p + o*r + s*r**2 and give y.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3250\/2767 or 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -62*d + 7. Let z(j) = 123*j - 13. Give -11*x(n) - 6*z(n).\nAnswer: -56*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:54 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 <= 1714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/80596 and 27\/40?\nAnswer: 805960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**3 - 2*k**2 - 2*k - 1. What is j(-2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from pnvlp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -1.31, 2\/7, 4, 1, -0.05?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69866 and 65620?\nAnswer: 11877220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 8*d**2 + 3*d + 2. Let h = -263 - -256. Let p be r(h). Solve -p = -5*j + 3*g + g, 0 = j - 3*g - 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 22\/(-4))\/((-2)\/4). What is the tens digit of (4 - u)\/((-33)\/(-1045))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91197 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 33*w**3 - 21*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -108*u + 482. What are the prime factors of y(-14)?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-20)*-2*1\/(-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4 + 110*l**3 - 3661*l**2 + 33504*l - 29952 = 0?\nAnswer: 1, 13, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-528)\/28)\/(-3) + -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1177669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633070 by -58.\nAnswer: 10915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -178, -312, -452, -598, -750?\n\"Answer: -3*c**2 - 125*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 + -2.5. Let c = 0.11 - -0.89. What is the third smallest value in o, 0.4, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12765184?\nAnswer: 2, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2949, 2944, 2937, 2928, 2917, 2904, 2889?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3 - 3)*(1 - 1 - 2).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/36 and -101\/132?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60767, -121920, -183839, -246908, -311511, -378032, -446855, -518364?\n\"Answer: -64*z**3 + z**2 - 60708*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -4086, -0.3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*h + 5*h, -5*y + h + 180 = 0. Let i(f) = f**3 - 37*f**2 + f - 26. What is the remainder when i(y) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 7607411 - 7607411.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 7*c**2 - 9. Let i(k) = -k**3 - 3*k**2 + 4. What is -3*g(j) - 7*i(j)?\nAnswer: 4*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/9 (b) -44\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -300*c**2 + 27. Let o(d) = -23*d**2 + 2. Let l(a) = 27*o(a) - 2*w(a). Let u(p) = 3*p. Give l(u(y)).\nAnswer: -189*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/747 - -63559\/47808. What is the common denominator of r and -143\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*d, 3*d + 3*s = -s + 7. Let h be d - 1 - (-4 - -26). Let n = h - -29. Calculate the remainder when n is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 30 = -5*p, 0 = -14*p + 16*p + 3*v + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**4\/3 + c**2. Let x(y) be the second derivative of y**3\/6 - 60*y. Give x(m(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 111757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.16, -3\/8, 2\/13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-71 - 265 + 2)*(-46*y**3 + 20*y**3 + 9*y**3) to l + p*y**2 + t*y + m*y**3 and give m.\nAnswer: 5678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1439 + -2293. Let d = r - -824. Let j = 0 - -1. Is j smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = r - 3451*c + 3463*c, -20 = c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*(-2 + 3))\/(-2) - -945. Suppose -520*j = -518*j - i. Is j a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*s**2)*(-16 + 14 - 15).\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/1967120 or -1?\nAnswer: 11\/1967120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -8, 5 in decreasing order.\nAnswer: 5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 1, -10, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.5, 3796, -23, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - r - 2*r - r + 1 - 1 + r + 0*r + 0*r + (r + 2 - 2)*(-5 + 2 + 5) - 14 + 14 + 7*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10111001101010101100011100?\nAnswer: -10111001101010101100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r - 6*r = 1890. Let n be ((-4)\/7)\/((-9)\/r). Solve 4*j + n = 0, 1 + 12 = -5*l + 2*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23069154.\nAnswer: 2, 3, 19, 202361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 - 3*v**3\/2 - 53*v**2\/2 + 4757*v. Suppose -6 = 2*f + z + 8, -3*f = 2*z + 20. List the prime factors of b(f).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m - 57*m = -13165. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*k - 5*f, -2*f + 10 = 5*k - 0*f. Suppose -5*u - 4*x + 88 = 8, k = -5*x. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - 1 - (-10 - (-19 + -1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k - 2*b, -5*k - 2*b = b + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405 + -102. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.945 + 17. Let r = i + -0.026. What is r rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - v + 8 - v + 1. Let l be q(-10). Let x be 2*(13\/(-10) - l). Which is the smallest value? (a) 3 (b) -1\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17905 - -47002. What are the prime factors of m?\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -70*y**5\/3 - 2286*y**4 - 13244*y**3\/3 + 128*y**2 = 0?\nAnswer: -96, -2, 0, 1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116156*p - 25 = -5*m + 116151*p, m - 7*p - 13 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2450624?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1735)\/(-60) + (-174)\/(7 - 1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 6 = -16*m. Suppose 5*r = m*r + 396. Calculate the highest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 e when four letters picked without replacement from eewewwwewwweweewee?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53183, -425459, -1435921, -3403661, -6647771, -11487343?\n\"Answer: -53182*t**3 - t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761556223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 12\/(-5) - 24\/8. Factor -2\/5*p**3 + u - 2\/5*p**2 + 2\/5*p.\nAnswer: -2*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 208 - 223 + 3*y. Is 7 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21103 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from katkktt. What is prob of sequence ta?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -26*v - 1. Let y(i) = -50*i**2 + 3*i - 2. Let g be y(1). Let t = g + 47. Is 17 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from zmylzzoyyzooey.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 81. Let n(h) = -h**2 - h - 2. Let u be n(-4). What is the tens digit of x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74675 - 73047 = 44*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162.61 - 165.61. Which is the second smallest value? (a) 4\/5 (b) 5 (c) 0.4 (d) w (e) -109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 340\/(-9) + (-2)\/9. Let l = -25 - y. Suppose l = 5*o - 22. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283 + -202. Let s = o + 490. Let r = 4 + -6. What is the smallest value in 1, r, s, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*o = -8 + 1, v - 3*o - 5 = 0. Suppose 68 = -3*k - 4*i, i = -v*k - k - 53. Let l = k - -19. Solve l*g + 1 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222393844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2 - 236*c - 5. What is the remainder when z(21) is divided by 117?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(833)*-2)**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 5*q - 4*q**2)*(-1 + 1 + 2) + (0 - 2*q**2 + 0)*(-1 - 3 + 2) - 3*q**2 - 2*q**2 + 6*q**2 + 1 - 1 + q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 222 = 6*r. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 14*b + 489. Let i(m) = m**2. Calculate p(i(k)).\nAnswer: 14*k**2 + 489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 915399 = 8*l - 473960. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717.9954 rounded to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + 2 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 51*b**2 + 93*b - 34. What are the prime factors of c(-48)?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k**3 - k**2 + 113*k - 27622?\nAnswer: -54*k**2 - 2*k + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 12*u**2 - 13*u + 8. Let r = -1901 - -1914. Give x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 22 = -3*s, -49 = -3*s - 4*z - 18. What is the second derivative of -s*k**3 - 27*k + 18*k**3 + 3*k**4 - 8*k**3 wrt k?\nAnswer: 36*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/3 + 2\/(-60)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 1811*p**4\/4 + 6164*p**2 - 117*p - 5. Find the first derivative of b(o) wrt o.\nAnswer: 10866*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 7*b)*(-23 + 14 + 68*b**3 + 9).\nAnswer: -272*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dak when three letters picked without replacement from {r: 1, a: 1, k: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1216 != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 2 + -13)*7\/(-6 + 230)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/5 + (-4)\/(-20). Suppose b = -0*b + i*w - 79, -194 = 2*b + 2*w. Let v = -11 - b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706, 705, 704, 703, 702?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/20 - -9\/20. Suppose 4*x - 6 = -10*v + 5*v, 4*x = v + 18. Let o be (-8)\/(-2) - (1 - 1). What is the nearest to r in 0.1, o, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3352344 (base 7) to base 11.\nAnswer: -2647a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 363.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241315 or -4102344\/17?\nAnswer: -241315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255995.9700042 - 255999.97. Let b = 4 + d. Round b to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 37*t**2 + 44*t - 218. What is i(38)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 1 = -4*l, 3*w - 4*l - 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85551 is divided by 6109?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine fifths of a gram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -8) + 3038\/1014. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 4:04 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*u**4 + 2421*u - 2421*u + (u - u - u**2)*(-u**2 + 4*u**2 - 2*u**2) + u**4 - 2*u**4 + 3*u**4.\nAnswer: 117*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Solve -3 = 3*z + m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983653 divided by -89423?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + (-2 - (-4 - 1)). Suppose 4*z - 9 = 3*r, -4*r + 4*z = 5 + 3. Suppose 20 = -u*b, r + 7 = h + b. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24\/7 - 248\/105. Do 2 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.22 * -15\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6972, -1, 1, -3, 0, 3 in descending order.\nAnswer: 3, 1, 0, -1, -3, -6972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.3 (b) 1\/2 (c) 1 (d) 0 (e) -0.1 (f) -4 (g) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3 + 38*b**2 + 2*b - 51.\nAnswer: 18*b + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6)\/(2250\/(-75))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iippyiipiippyi. Give prob of picking 3 p.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10769*d**2 - 35561*d.\nAnswer: 21538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28503\/4 + -7125. What is the closest to -43 in -1, -4, -2\/9, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5933, 5932, 5917, 5882, 5821?\n\"Answer: -v**3 - v**2 + 9*v + 5926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 69*h**2 + 8*h - 2577. Let k(w) = -9*w**2 - w - 1. Determine -8*k(s) - n(s).\nAnswer: 3*s**2 + 2585","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -0.5?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1589217*w**6 - 11157*w**2 - 11*w + 1?\nAnswer: 190706040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**48)**(-44)*(i**4*i\/(i*i**(-2)))\/(i**1\/i*i)**(2\/15) assuming i is positive.\nAnswer: i**(-31592\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/4)\/((10\/28)\/(1512\/(-5292)))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42313769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 7*n - 4*n as z*n + m and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 61 = -r + 2*c, -c - 2 = 0. Calculate the remainder when 4*-9*(-1 + 0) is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -18 + (-2707 - -2731).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -147818 plus -57.59?\nAnswer: -147875.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - 7*h**2 + 7*h. Let o(u) = u**3. Let b(q) = -q**3 - 2*q**2 + 2*q. Let x(i) = -2*b(i) - 4*o(i). What is -5*x(k) - 3*z(k)?\nAnswer: -2*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -0*d. Let b be (d\/(-6))\/((-4)\/(-48)). Suppose -3*n - 20 = -2*g - 8*n, g + b*n - 13 = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(21*x**3 - 9*x**3 + 2*x**3).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884 (base 11) to base 15.\nAnswer: 4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 - 3*s**2. Let p be j(2). Let t be p\/1 - (1 - 1). Suppose t = 5*m - 2*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: Which is the fourth smallest value? (a) 0.6 (b) -2 (c) -9 (d) -377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1573185919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11a + -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -1.5. Let x = 2 + -3. Let g = l - x. Which is the third smallest value? (a) -3 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -560, -848, -1138, -1430?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1*sqrt(5)*-1)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 3*a)*(0 + 3 - 1) + 3*a + 0*a - 4*a - 277*a + 360*a + 915*a + (-2 + 5 - 1)*(3*a - 6*a + a) + 2*a + a - 4*a.\nAnswer: 994*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(0 - 3\/(-3)). Let p(q) = 3*q**4 + 5*q**3 - q**2 - 2*q. Let t(y) = -y**3 + 16*y**2 - 16*y**2. Let l(x) = s*t(x) - p(x). Factor l(u).\nAnswer: -u*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2386.3 + -2399.3. What is the second smallest value in -2, v, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28c (base 15) in base 10?\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 n when three letters picked without replacement from wnfnfgb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iinnupiniibiuvpup.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/4)\/((-79)\/(-158)). Let z = 1 - -1. Suppose -95 = -z*d + n. Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -1\/3, 0.3, -3550 in ascending order.\nAnswer: -3550, -0.5, -1\/3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 1009 + j**2 + 0*j**2 + 1012 in the form q*j**2 + m*j**3 + p + s*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-20) - 8\/(-70). Suppose 0 = -4*h + 4*n - 48, -5*h - 3*n + 105 = 109. What is the fourth smallest value in -24, -2, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6788719 divided by -3.\nAnswer: 6788719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50579895 is divided by 16859965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:40 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 + 1581 = 17*u. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-8)\/3*18\/12. Let a(m) = m**3 - 5*m**2 - m + 5. Determine a(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 106 - 21 = -i, i - 3*c = 127. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:08 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 3\/113, -0.5, 0.072, 0.04, 0.5, 1\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299302259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 23, 17, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(60\/(-234)*(-93)\/(-465))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3025740 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-152)\/(-19))\/(4\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let t = y + 3. Suppose -13 = -t*o + 22. Calculate the greatest common divisor of 35 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60483 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**21\/o*o*o**(1\/5))\/(o**(-3))**35 assuming o is positive.\nAnswer: o**(631\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 10*i**2 - 25*i**2 - i**2.\nAnswer: -37*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52476528 and 5616?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*t + 14, -t - 11 = -3*p - 2*t. Suppose 0 = 4*w - 20, -p*y + 1 - 2 = -w. Suppose -323 - 1157 = y*s. Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1386\/(-33)*((48\/(-54))\/8 + 0).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*y - 3761, -101*y - 3*w + 1277 = -100*y. List the prime factors of y.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*j + 1, -5*a - 31*j - 39 = -33*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -108, 122580, -6.\nAnswer: -108, -6, -2, 122580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 4, -24 in descending order.\nAnswer: 4, -24, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -832, -1058, -1284, -1510?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjjjjjzjjzj. Give prob of picking 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 2*c. Let k(n) be the third derivative of 2*n**5\/15 - 2*n**2 + 659*n. Give u(k(t)).\nAnswer: 192*t**4 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*r + 34 + 384*r + 16 - 62 - 6*r as q + m*r and give m.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499057.\nAnswer: 13, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8046, 16068, 24084, 32094, 40098, 48096, 56088?\n\"Answer: -3*m**2 + 8031*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((29\/(29348\/(-207)))\/(9\/(-48)*10))\/(-3)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 = -7*l. Solve -4*p + l = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + -5*(sqrt(98) + 6*(sqrt(98)*-1 + sqrt(98)) + sqrt(98) - (sqrt(98) + 1 + 1 + sqrt(98) - sqrt(98))))*4*-2)**2.\nAnswer: -1232000*sqrt(2) + 4113600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2700 and 2970.\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + -1 - -3. Solve 0 = m - i + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -156. Which is the third biggest value? (a) -0.2 (b) 0.51 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1888260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 11*g - 3*g. Let w(b) = -6*b - 238. Let y be w(-51). Let h(d) = -2*d. Determine y*h(q) - 6*u(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 2*v**2 + 1. Let g be w(1). Let s be 20*1\/(-6 + 5 - 1) - -6. Sort s, g, 1, -3.\nAnswer: s, -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:17 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991498 is divided by 4392.\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*c + 24. Suppose 2*y = -4*n + c, -4*y + 19 = -n + 3. Solve 5*j + 11 = -2*o, 0 = o - n*o + 5*j - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11844\/(-5460) - 6\/26)*((-125)\/15 - 5).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/19 + 2956*r\/19 - 2954\/19 = 0.\nAnswer: 1, 1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55 + 0)*(-10)\/(-175). Let b = 191\/63 - h. What is the third biggest value in b, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -771 - -770.6. Let u = 21\/52 - 2\/13. Which is the second biggest value? (a) u (b) 0 (c) -1\/2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3723 divide 174927554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 4*v**2 - v**4 - 6*v**2 - 30 + 17 to the form m*v + l*v**4 + d + w*v**3 + o*v**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from wffwfw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 - -184. Calculate the smallest common multiple of w and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 c when four letters picked without replacement from {c: 3, s: 3, d: 7}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**5 - 9586*j**4 + 4996340*j**3 - 843862236*j**2 - 4635677306*j - 1451278130 = 0. What is j?\nAnswer: -5, -1\/3, 463, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*m**4 + 4412*m**3 - 21403 wrt m.\nAnswer: 36*m**3 + 13236*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o - 9*o**2 + 10*o**2 - 3*o. Let x(b) = -15*b**2 - 21*b. Let g(u) = -12*l(u) - x(u). Factor g(j).\nAnswer: 3*j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3945.0000002968 - -3945. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4398, 4400, 4402, 4404, 4406?\nAnswer: 4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10598964*x**3 - 1 - x**4 - x + 49*x**2 + 10598965*x**3 + 2*x**4 to r + g*x**4 + o*x**3 + l*x + p*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31331 times 677\nAnswer: -21211087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891717.\nAnswer: 3, 131, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*o**2 + 8724*o + 26208.\nAnswer: 3*(o + 168)*(17*o + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261170643 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 156*c**3 + 18*c - 28*c**2 - 19*c - 465*c**3 as t + h*c + v*c**2 + z*c**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 6*w + 6. Suppose 4*v - 3*v + 4*k = 0, -v - k - 12 = 0. Let i be -20*-2*(-2)\/v. Calculate c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 17. Find the common denominator of -41\/11 and u + 276\/28 - 2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 312\/(-182))*3\/9*63\/(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.228 * 0.3.\nAnswer: -0.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 0. Let v = 0.5 - j. Let q = 1.1 + -5.1. Which is the nearest to v? (a) -1 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3 + 3)*(14 - 1 - 4).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 14*b + 7. What is c(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065934 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (51 + 43)) + 44?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -93, -99?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008 divided by -336.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 2}. Give prob of sequence apap.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 8*b**2 + b - 2. Let a be m(8). Let f(x) = 4*x + 1. Let g(q) = -q. Let y(d) = a*f(d) + 33*g(d). What is the first derivative of y(r) wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.15413 centimeters to meters.\nAnswer: 0.0615413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -1\/6*w**4 + 0*w**5 + 0 + 1\/120*w**6 - 2\/3*w**3 - 24*w**2 + 0*w. Let h(o) = 2*o**3 - 9*o - 9. Calculate 4*h(i) - 9*m(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/80 - 113911\/(-56)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 4*s + 1. Let k be l(4). Let i(m) = 4*m. Let f be i(k). Let o(n) = 3*n - 3 + 2*n - n**2 + 4*n - f*n. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - p - 4. What is the lowest common multiple of j(3) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:36 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w + 15*w - 8*w to the form c*w + k and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.363 - -0.063. Round o to zero dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -3*n**6\/40 - 19*n**5\/60 - 983*n**4\/24 + 8*n**2 - 14*n. What is the second derivative of u(h) wrt h?\nAnswer: -54*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11807018, 11807017, 11807016, 11807015, 11807014, 11807013?\nAnswer: 11807012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 1:51 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r - 16. Let h be m(-1). Let j be (-1 - h)\/(-13*10\/(-260)). Which is the nearest to -0.2? (a) -0.6 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36905 = 5*t - 5*y, -3*t - 2*y + 0*y + 22153 = 0. Suppose p + p + 1481 = i, -p + t = 5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1108852*t**4 - 8814*t**2?\nAnswer: 26612448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 400 = -860. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (329900\/(-178146))\/(2\/27)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 + 35*t + 5. Calculate g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6357 + 3.3643. Put 0.2, -0.06, 3\/2, -0.012, t in descending order.\nAnswer: t, 3\/2, 0.2, -0.012, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m + 13 + 3*m**2 - 4*m**2 - 6 + 9*m**2. What is the tens digit of l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:39 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.5256094 to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2428.668421459 + -0.031478541. Let b = -2430.7 - q. Let w = b - -2. What is w rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806128 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/3 + 761308*r**3 + 2283928*r**2 + 6851788*r\/3 + 761310.\nAnswer: -2*(r - 1141965)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6, 0 = -4*h + j + 96 + 353. Solve 0 = -13*g + 100 - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quy when three letters picked without replacement from qqwuqppyqwyqquuqq.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069018881 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 7738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*z + 332 = -5*z, 4*z + 328 = 4*w. Let i(t) = -t**2 - 10*t - 1. Calculate the remainder when w is divided by i(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2958*q**2 + 2*q**3 - 4*q**3 - 2*q**3 - 79*q + 2939*q**2 - 1 + q**4 as l*q**2 + b + k*q**3 + d*q + i*q**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3775726*q**2 + 30*q - 280951186 wrt q.\nAnswer: -7551452*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204982399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.1, -361, -2, 0.5, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a7 + 3?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7 - 2.6. Let n = 0.46 - 0.06. Let f = n + r. Round f to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/7, -7, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5335622.\nAnswer: 2, 37, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 13837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1162 + 3*v**4 + 581 + 7*v**3 + 581 - 3*v**2 as r*v + p*v**4 + o + d*v**2 + q*v**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329447 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62002961 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*t - 14*t**2 + 28*t + (3 - 1 + 0)*(0*t + 0*t + t**2) to m*t**2 + i*t + w and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140128123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 + 433266*x - 46929856689 = 0. What is x?\nAnswer: 216633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -13. Let d be o\/(-18) - (-69)\/18. Sort 5, -5, d.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -9520628*k**2\/15 - 45699014*k\/3 + 16\/5 = 0.\nAnswer: -24, 1\/4760314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1247 - (1 - 2) - 4. What is t rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000709552317 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(243) + 2) + -5*(2 + (sqrt(243) - (sqrt(243) + 2))) + 1)**2*2.\nAnswer: 504*sqrt(3) + 2042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1901 divided by 1\nAnswer: -1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0*o**4 + 0*o**5 + 2 - 22*o + 14\/3*o**7 + 0*o**2 + 0*o**6 + 32\/3*o**3. Find the second derivative of s(t) wrt t.\nAnswer: 3920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in -1.8, 0.5, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24\/28*7490\/(-11770)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 2*o - 2*o - 1803 + 0*o + 835.\nAnswer: -2*o - 968","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 9*u + 8. Let a be h(8). Suppose 4*c = -2*t + a, 3*c = -3*t + 2 + 13. Suppose -d - 2*d = -4*b + 123, 5*d - 56 = -c*b. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549506 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6196 * 0.23.\nAnswer: 1425.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 8, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18 = -0*w - 2*n, 5*w = -n + 37. Suppose 3*x - 4 = w. Solve -x*y = -6*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7669348.\nAnswer: 2, 1917337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2178 + -2034. Calculate the remainder when w is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188972, -188973, -188974, -188975, -188976, -188977?\n\"Answer: -z - 188971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -2 (c) -203\/16504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1461 - 975. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 5 = 2*g + 3*d, d + 1 = 4*g. Suppose 4*o - l = 4*l + 27, -5*o - l = -41. Let k be 15\/10*o\/6. Solve g = k*t - v - 3 + 2, 5*t + 2 = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -197927*x + 46. Let z be w(-2). Round z to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 119.686?\nAnswer: 2.39372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 166 - 2 - 8*(27 - 26). Put 1, 4, -1, s in ascending order.\nAnswer: -1, 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33898981 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -e15a4 (base 16) in base 8?\nAnswer: -3412644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {m: 5, f: 3, e: 1, l: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209.987 - 211.8. Let n = q - 0.187. Is n not equal to 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193.8+124543\nAnswer: 124736.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*b = -h - 72, 5*h = b + 71. Calculate the remainder when h is divided by -1 + 0\/(-3) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 2*d - 2. Let c(b) = b**2 - b + 1. Calculate 2*c(g) + j(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 637919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 3*f - 1. Let x be p(5). Let m = 12 - x. Solve 3*w = -n + 5, -8 + m = -5*n + 5*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9400 is divided by 9352?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:48 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4402 (base 6) to base 13.\nAnswer: 5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(0 + (sqrt(1216) + -5 + sqrt(1216) + sqrt(1216)*1)**2 + 4)*-5.\nAnswer: -1371625 + 30000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -533\/5. Let d(s) = 5*s**3 - s + 1. Let z be d(1). Suppose -j = -3*n - 0*n, z*n - j = -2. Which is the closest to n? (a) 2\/7 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193901311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (273\/(-35) - -7)*5\/(-2). Sort -4, -52, -5, u in descending order.\nAnswer: u, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 20. Let c be z(0). What is the greatest common divisor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168617183*k**3 + 7046008*k - 14 wrt k.\nAnswer: 1011703098*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 13*w + 10. Let s be b(-13). Solve 2*p - 4*g = 20, -5*p - s = -2*p + 2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265 is divided by 208.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8325076.19 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 3 = 22*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g - 17. Let p be a(2). Suppose -2*o = p + 1, -4*o + 28 = 3*c. Let n(v) = -c*v - 107 + 107. Let u(f) = -3*f**2. Calculate u(n(x)).\nAnswer: -432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -11)*14\/28. Suppose -2*o = -4*y - 26, -4*o + o - k = 5*y. Calculate the remainder when 7 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((1 + sqrt(192))*6 - (3*sqrt(192) - sqrt(192))*2))**2*5.\nAnswer: 1440*sqrt(3) + 4245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -196*y**2 + y - 5. Let t = -7 + 0. Let s = t - -12. Let o be p(s). What is o rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*n = 6150, 18*g - 17*g - 3*n = 3085. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -3\/2 (c) 0.1 (d) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 343*j**7\/9 - 1666*j**6\/15 - 2269*j**5\/10 + 290*j**4\/9 - 4*j**3\/3 - 4617*j. Find i, given that l(i) = 0.\nAnswer: -1, 0, 2\/49, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of -6 + ((-36)\/(-60) - 10557\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17845911 and 0.4?\nAnswer: 17845910.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 7 - 22. Let z be (8\/n + 2)*(9 + -11). What is the closest to -0.6 in 2\/3, 4, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/26820 and -3\/40?\nAnswer: 53640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1504 + 4220 = -432*s - 385*s + 923*s for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -10, -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.2 - -2.7. Let h = m - -2. Let o = 0 + 0. Which is the nearest to 0? (a) h (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -143709*f + 1437030. Give y(10).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)\/((j\/(j\/(j**4*j)))\/j)*((j*j**0)\/j)\/j**(4\/3) assuming j is positive.\nAnswer: j**(-115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let r be (-9)\/12*b*6. Let a = r - -17. Solve -2*j + 0*j + a = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:30 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - (-37 + 35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Which is smaller: -8\/5 or h?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95610011 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - f + 99233 - 323206 = 0, -o - 3*f = -56003. Suppose -2*s - 3*i + 55991 = 2*s, -4*s + o = 2*i. Round s to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 + -199.2. Let j = s - 19. What is the closest to j in 3, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -26, -38, -54, -74, -98?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5. Let g be t(-2). Let u = 29 - -35. Let w be 100\/u*2\/5. Which is the nearest to w? (a) -1\/11 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -388 - -552. Let r = 92 - 59. Calculate the remainder when p is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + s - 3. Determine z(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137606256 + -0.02?\nAnswer: 3137606255.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 - -84) + (-2 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-4)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 7198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + 0.44. Let h = 23.804 - 2.804. What is the third biggest value in y, 2\/11, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 - (-14 + 2)\/3. Suppose -g*d = -23 + 68. Let m(a) = -5*a**3 - 4*a**2 - 4*a - 4. Let l(o) = 11*o**3 + 9*o**2 + 9*o + 9. Give d*m(w) - 4*l(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019 a factor of 1541689819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -32 - (-2 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4615 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 26 + (-3 - 5) + 33.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -9. Let b(g) be the first derivative of -g**4\/4 + 7*g**3\/3 - 2*g**2 - 5*g - 45. What is the tens digit of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 - 2. Let k(z) be the second derivative of -z**4\/12 - z**2\/2 + 4*z. Let m(i) = 2*k(i) - r(i). Let n(t) = -t. Give n(m(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 79*s - 8*s - 31*s.\nAnswer: -128*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (582\/(-485))\/(594\/(-605) - 2\/(-11))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2704*k**4\/3 + 50128*k**3\/3 - 37644*k**2 + 50120*k\/3 - 6272\/3 = 0. What is k?\nAnswer: 7\/26, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(4)\/sqrt(2) - (sqrt(2)*2*-4 - sqrt(2))) + (sqrt(40)\/sqrt(5) + -5 + 2*(1 + sqrt(8)))**2.\nAnswer: -26*sqrt(2) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*z + 5234 = 0, 0 = y - z - 215 - 831. Calculate the greatest common factor of 168 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, t: 5}. What is prob of picking 1 t and 1 c?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(0*d - 5*d + 4*d) - 73 + 2325*d + 136 - 63 to y + i*d and give i.\nAnswer: 2324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 + a**5\/10 - a**4\/3 - a**3 + a**2. Let o = 209 + -391. Let h = 175 + o. What is y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2321)\/(-2954) + 2\/(-4). What is the smallest value in 0.02, -4, f, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3610282176 minus 92140?\nAnswer: -3610374316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 79752.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -35 + 48 + (-14)\/2. Solve 0 = -8*m - c - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33760 and 560?\nAnswer: 236320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4995190 to the nearest ten thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*g - 4*o, 3*g = -2*o + 9. What is the third biggest value in 5, -2, -4, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -39. Suppose 0*r - 8 = -2*r. Calculate the highest common factor of z and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -3*m. Suppose -3*s = x + s - 98, 2*x - m*s = 209. Suppose -x = -o + 577. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 4*g**2 + g - 4. Let w be d(4). Suppose 4*q + w = 12. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61572 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 618130*s - 3090648\/5.\nAnswer: -2*(s - 1545324)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16146 by 8073.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 42*c**2 + 23938*c - 1152. Give o(-570).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 31979*h**2 + h - 2. Let f be c(-2). Let y be 2\/7 + 4\/(-14). Suppose y = 4*g + 120088 + f. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**4*w + 5015*b*w - 2*b + 3*w + 1733 wrt b?\nAnswer: 12*b**3*w + 5015*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1073*d*o**2 - 52074*d*o - 7*d + 18*o**4 + 3*o**3 - 1 wrt o.\nAnswer: -2146*d + 216*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -45*v + 4. Let c(b) = -47*b + 3. Let y(r) = 4*c(r) - 3*p(r). Let u(m) be the first derivative of 0*m**2 - 1\/3*m**3 + 0*m - 50. What is y(u(g))?\nAnswer: 53*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31696, -63829, -95962, -128095, -160228, -192361?\n\"Answer: -32133*t + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 7. Suppose 3*p - 15 = 2*j + 20, -3*j + 52 = 5*p. Let o = p + c. Let m(q) = q**3 - 5*q**2 - 2*q + 5. Give m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23891701 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 343505 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 + (-20)\/6. Let t = 3.89 - -0.11. Which is the biggest value? (a) 2\/11 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = 7 + 2 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.199 * 161.\nAnswer: -32.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 133132, 1\/5, 1\/8, -157, -0.4?\nAnswer: 133132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i + 21847 = -302*i - 5369 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 0.3 (c) -164 (d) 2883 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1. Let i(s) = 7*s**2 + s - 4. Let l(x) = 3*g(x) - i(x). Let u(w) = -6*w**2 - w + 1. Determine 3*l(v) - 4*u(v).\nAnswer: 3*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -8.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 67. Let x be b(0). Suppose -5*f - 7 + x = 0. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5144 + -40437?\nAnswer: -33273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7))**(-4\/39))**(-2\/73) assuming p is positive.\nAnswer: p**(-8\/6643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 309355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(16700\/(-880) - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/1631 (b) -25 (c) 5 (d) -1\/3 (e) 6 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -144 and -110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 644.0403 + -644. Let x = r + -0.04. What is x rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*s = 33*s + 1365 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4))**(1\/12)\/(p**(-2\/3)\/p**(-2\/27)) assuming p is positive.\nAnswer: p**(247\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 5, 9, 15, 23?\n\"Answer: r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 178.259\nAnswer: -4278.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkj when three letters picked without replacement from bjbtktpm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 + 7*r. Let l(q) = -q**2 - q + 1. Let k(u) = u**3 - 6*u**2 + 7*u - 1. Let d(x) = -k(x) - l(x). Calculate -7*d(f) - 6*y(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 128?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-28))\/(2\/(336\/(-2))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.4 (c) 0.3224 (d) 2\/9 (e) -0.042 (f) 5 (g) 6\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-8 + 354\/45))\/((108\/(-30))\/(-3)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**3 + j + 4*j**3 - 3*j - 2*j**3 as n*j**3 + w*j**2 + x + m*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*h - 10*h + 84 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316859*x**2 + 176975.\nAnswer: -633718*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**2 - 2*g**2)*(3*g + 0*g - 4*g) + 15*g**2 - 10*g**3 - 15*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-5) - (8 - 11). Suppose -3 = -2*k + k. Suppose -k*o + 4*q = -0*o - 17, 4*q = -8. Solve -3 = 5*y - 6*y - o*x, 0 = y + x - g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -29 + 33 + 5*1. Let h(f) = 0*f + 7*f - r*f. Let c(k) = k - 43. What is h(c(p))?\nAnswer: -2*p + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 4*d - 1, 4*d = -4*u + 32. Let a be 2\/(-5) - u\/(-15). Solve 4*k + a*g - 4 = 4*g, -g = 5*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 111?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*b - 3*b. Let i be 8023\/(-4715) + b\/16. Let w = -3\/1886 - i. What is the common denominator of w and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7114513 times 5\nAnswer: -35572565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249052085 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 7*f + 231. Let y = f + 26. Is ((-331)\/(-2))\/(y\/70) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*v + 101312 = 93832 for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*m = 0, 0 = -j + m + m. Suppose -i + 5 + j = 0. Suppose -d = -4*d - i*t + 13, -2*t = 4*d - 8. Solve -h + d = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 25, 107, 217, 355, 521?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 - 344*u**4 - 116636*u**3 + 12930096*u**2 - 97759296*u + 191704320 = 0 for u.\nAnswer: -180, 4, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-45))\/(2\/(-10)). What is the fourth smallest value in j, 0.1, -0.3, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 76 = 2*d. Suppose 35 = -87*w + d*w. What is the smallest common multiple of w and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u**2 - 39*u**2 + 59*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 - 2*o**2 + 6*o - 1180. Let c(l) = -l**3 + l**2 - l. Let f(b) = -4*c(b) - m(b). What are the prime factors of f(0)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 3*i - 1. Let w(k) = -2 - 1 - k + 0. Suppose -5*f + 5 = 40. Let p be w(f). Determine b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + a + 3. Let s(l) = l**3 - 2*l**2 + 4*l - 250. Let u(h) = 4*i(h) - s(h). What is the derivative of u(v) wrt v?\nAnswer: -15*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 199*u - u**2 + 3*u**2 + 6*u**2 + 16*u**4 - 198*u in the form p*u**4 + r + f*u + c*u**3 + n*u**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(37 - (39 + 10))*-234?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 14*y + 49. Let a be v(5). Suppose -2*p = -a*o - 40, o = -2*o - 12. Solve 0*c + n = 4*c - 19, -2*n + p = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (45 + -20 - -28053) + -2 + (6 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/32, 3, -0.1, 0.12, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*45\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 1209024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let k be q(0). Let y = 195 - 194.9534. Let o = y + 0.0534. Put k, -2\/13, o in ascending order.\nAnswer: -2\/13, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*126*(-696)\/4176.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76608*v*z**2 + 2*v*z - 2995*v - 1 wrt z?\nAnswer: 153216*v*z + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3816.17955 - -3816. Let c = w + 0.18. What is c rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:09 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -608605 (base 15) to base 16\nAnswer: -45f49d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*k*n**2 + 442*k - 45*n**2 - 14*n + 1 wrt n?\nAnswer: -222*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 40 + 85 + 50)*(-7 + 7 - 3*f) to j*f + x and give j.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*3\/24*4. Suppose u*j = -5*j + 10. Suppose 0 = -3*y + y - j, -c + 27 = -5*y. What is the remainder when 42 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -279, -586, -1001, -1518, -2131?\nAnswer: -2834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3+-16545\nAnswer: -16542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*m - 23 + 29, 5*m - 5*p - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059295321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255333 and 68601.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 878805269 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/(5\/100 - 0). Suppose 3*d + 0*d - 2*k - 100 = 0, -d - 3*k + 26 = 0. Suppose 2*o = -t + d. What is the remainder when 48 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-180)\/(-50) - 4\/(-10). Suppose -2*x + s*x = 8. Suppose 3*o + x*z - 20 = 0, 0 = o - z - 6 - 3. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/359 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 times 53?\nAnswer: 16801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:14 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/((h*h*h**(-2\/3))\/h))\/((h**4*h)\/(h*h\/h**2)) assuming h is positive.\nAnswer: h**(-106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -13. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14908*a + 20722*a = -75582 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iicl when four letters picked without replacement from {i: 2, c: 3, l: 2, o: 2, p: 4, d: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22049 is divided by 712.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -68\/3. Let y = u + -2. Let 0 - 4\/3*g**3 - 2\/3*g**4 + 0*g - y*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15914 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 + 523. Let f(s) = 6188*s. What is k(f(z))?\nAnswer: 38291344*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, 27, 88, 173, 282?\n\"Answer: 12*q**2 + q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 + 8678*k - 2 + k**2 - 8592*k in the form v*k**2 + u + y*k and give y.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*g + 4*n, 5 = g + 2*n + 3. Let i = 8 - g. Suppose k = -i + 18. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let f(x) = -4*x**3 - 3*x**2 + 6*x + 4. Let m(c) = -3*b(c) + f(c). Factor m(p).\nAnswer: -2*(p - 1)*(p + 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(-3*v**2 + 0*v**2 + 2*v**2) + 8158*v**2 - 4*v - 8159*v**2 + 11*v.\nAnswer: -2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 0.6 (b) -0.2 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(((-44)\/(-8))\/(-11)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-16)\/4))\/(-35 - 313767\/(-8964)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let y(o) = 1534*o**2. Give d(y(l)).\nAnswer: -1534*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 606 - 486 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 104*q + 6*q**3 + 37*q + 67*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582864 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 89.\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290529 is divided by 3455?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.1 - 12.8. What is the closest to -8\/5 in 0.2, -0.04, 3, i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4291 by 117.\nAnswer: -4291\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 13*z - 32. What is x(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -86, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:51 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 523314054 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.3 (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**3 - 4*s**3 + 3*s**3 + s**2 - 17 - 4*s + 2*s - 20*s**3 in the form q*s**3 + j*s**2 + c + h*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 701797*u + 701797*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-855)*-1*(45 - 51)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*n + 132, -n + 26 = 2*u - 5*u. What is the highest common divisor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*c = -7*g - 1083*c + 550*c - 126 + 1, -3*g + 4*c - 50 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + u + 1. Let a(q) = 9*q**2 + 2*q + 3. Let p(x) = -a(x) + 2*g(x). Let y(c) = -c**2. Determine y(p(b)).\nAnswer: -25*b**4 - 10*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let c(i) = -5*i + 4*i + 12*i + 6 + 0. What is m(c(t))?\nAnswer: 242*t**2 + 264*t + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -8 - (182 + -188).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i*r**2 + 41294*i*r - 475*i + 196*r + 81454 wrt r.\nAnswer: -8*i*r + 41294*i + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 20*l + 135 - 3*l - 18 + 6*l + 5*l. Calculate y(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + v)*(-3 - 1 + 2) + (v - 3*v + 0*v)*(-2 + 0 + 1)*(2 - 2 - 1) to the form a + l*v and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 2.1962718?\nAnswer: 7.1962718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240*i**4 - i**3 + 2*i**2 + 13666*i wrt i?\nAnswer: -2880*i**2 - 6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.6056 - 0.1644. Let l = f + -4.23. Sort -0.1, l, -4.\nAnswer: l, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357526240 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2311 * -0.32483\nAnswer: 750.68213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 9. Let n be p(9). Let z(s) = 11*s**2 - s. Let b be z(-1). Suppose n = -3*t + 3*k - 3 - b, k = 0. Let q(l) = -l**2 - 3*l + 2. What is q(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (-1 + sqrt(612))*-6)**2.\nAnswer: -1080*sqrt(17) + 110205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 289 = -0*n - 3*n, -101 = -n - 5*u. Let i be n\/(-30) + 2\/10. Let v(h) = -h**2 - h - 4. Let x be v(0). Put i, x, 3 in descending order.\nAnswer: 3, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930410\/364 + 7\/(-98) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = -41*b - k - 32, 0 = -2*b + 2*k + 28. Let h(y) = -9*y - 9 + 39*y + 2 - 18*y - b*y. Determine h(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**2\/2 + 12*p - 363. What is y(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 333 = 5*k - p, -12 = -4*p. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3014525 is divided by 1305?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 + -0.29. Put 3\/4, 7, q in decreasing order.\nAnswer: 7, 3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) 0 (d) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*p**3 + 96*p**2 - 186*p - 4.\nAnswer: 2*(p - 1)*(p + 2)*(47*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Let k = 0.114 + 0.386. What is the closest to a in k, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3621726)\/4*(-16)\/12. Suppose 0 = -2*a - 5207242 + d. What is a rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfcs when four letters picked without replacement from jsjjsccjsssjjcsfccs?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2. Let y(l) = 24*l. Determine t(y(f)).\nAnswer: -1728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 664\/7 - 95. Let g = 7.23 - 3.23. Let y = -0.7 + -0.3. Which is the closest to y? (a) l (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*k**6 - 4*k**5 + 16*k**4 - 29*k**2 - 8*k + 15 wrt k?\nAnswer: -32160*k**3 - 240*k**2 + 384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*f - 1 - 598*f + 198*f + 61*f**2 + 197*f.\nAnswer: 61*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 389 in -2, -0.2, -535, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 281 and -0.3.\nAnswer: -84.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a**3 + 7*a**2 + 19*a - 4 + 3*a**3 - 2*a**3 - 2*a**3. List the prime factors of m(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2352 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 557992051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1522.\nAnswer: 5\/1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3776342084 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2508859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/871 or 1?\nAnswer: -8\/871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) - (sqrt(70) + 2*sqrt(70)*-6)))\/(-2*-2*sqrt(90)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -25*n**4\/6 - 5*n**3\/3 + 7*n**2. Let a be x(-3). Suppose 8*k + a = 10*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15667, 31369, 47071, 62773, 78475?\n\"Answer: 15702*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8 + 12. Find the second derivative of v*k - 1706*k**3 - 10*k**4 + 1706*k**3 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -234468 and -1.1.\nAnswer: 257914.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -5, -2117, 30 in increasing order.\nAnswer: -2117, -5, 30, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.87 - 0.13. Let m = -6 - -21. Let j = m - 10. Put j, q, 4 in descending order.\nAnswer: j, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257661 is divided by 128801.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from ggggggggxgxggxgg?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25091 and 1.\nAnswer: 25091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*b + 78, 3*b + 14613 - 14691 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1595003 - 12235998. Let u = 4619002 - q. Let f be u\/(-7) + 18\/(-42). What is f rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - i**3 - i**3)*(3 - 1 + 0) - 1 + 1 - 5*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203 or 200?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6978 is divided by 1190.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217907000 rounded to the nearest 1000000?\nAnswer: 8218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*n + 7 = 0, -a - 5*n + 11 = -8*n. What is the closest to a in 1\/3, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 31*b**2 - 22*b + 52. Is g(32) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 - 3. Let n(a) = 14*a**2 - 5. Let p(i) = -5*g(i) + 3*n(i). Let r(v) = 19*v - 2. Give p(r(u)).\nAnswer: 722*u**2 - 152*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Let t = y + -3. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55*0.2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18042 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -62. Solve -6*o = -2*o - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:08 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177334358.\nAnswer: 2, 13, 237589783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-30)\/8 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 2 = -19*w. Let o be -1*((-42)\/(-8))\/(w\/48). Calculate the greatest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 30*q - q**2 - 11*q - 10. Calculate the remainder when 55 is divided by s(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35137276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6198176 by 97.\nAnswer: 6198176\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 7, -48, -164\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.052?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 13*d**4 + 3*d**4 + (d + 4*d - 4*d)*(-66*d**3 + 60*d**3 + 113*d**3) + 2*d**4 + d**3 - d**3.\nAnswer: 121*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/2 + 5\/5. Let b(i) = -i**3 - i + 1. Let h(c) be the third derivative of c**6\/40 + c**4\/6 - 5*c**3\/6 - c**2. Give m*b(g) - h(g).\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 4}. Give prob of picking 3 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - (1 + 0)) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((8 - 5) + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 1\/10*p**5 + 0 - 2*p + 1\/3*p**4 + 0*p**2 + 0*p**3. What is the third derivative of q(x) wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443104240?\nAnswer: 2, 3, 5, 409, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 142832 less than or equal to 142832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 29*h - 11. Let f(m) = -m**2 + 10*m + 4. Let s(i) = -17*f(i) - 6*o(i). Let t = 2 + 0. Let p be s(t). Solve 0 = 2*q + p - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -39.08. Let f = -0.1 + 0. Let m(p) = -233*p + 461. Let y be m(2). Sort g, f, 4\/9, y.\nAnswer: y, f, g, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.879 + 0.779. Which is the biggest value? (a) -1\/5 (b) 0 (c) 4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14196 divided by -3?\nAnswer: -4732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + m - m**2 + 12*m. Let a = -17 - -28. Let t be h(a). What is the smallest value in t, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(1331) - (-1 + sqrt(1331))) + 1 - ((sqrt(1331) - ((-1 + sqrt(1331))*-6)**2) + (sqrt(1331) + 1*sqrt(1331))*4)) + -3 + 5.\nAnswer: -891*sqrt(11) + 47952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 8*s - 7. Let k be w(-9). What is the least common multiple of 4\/((-9)\/6 + k) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6 + (-64)\/(-4). Suppose -3*w + n + 3 = 1, 4*w - q = -3*n. Let k = 28 + -18. What is the least common multiple of k and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 230\/(-315) + (-4)\/(-14). What is the closest to 0 in s, -0.5, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -137124.\nAnswer: -5\/137124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/3 - 16079*r**2 + 17823135*r - 14651352175\/3 = 0.\nAnswer: -49327, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11735 (base 8) in base 14?\nAnswer: -1bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:37 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 2 + (-140)\/48. Which is the smallest value? (a) v (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 16. Suppose 2*m = 2*j - 3*m + f, -3*j = -2*m - 10. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spspffsvsfpssf. Give prob of sequence sfvp.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -j*b = -3 - 1. Find the second derivative of 3*n - n - n**b - n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137611600*r**5 - 21*r**2 + 19*r + 61 wrt r.\nAnswer: -8256696000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*j + 342 = -2*j, 3*j - 456 = -4*l. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0 - 4 - 10*x + 2*x**2 + 6*x. Let c be 6\/27 + (1330\/45)\/(-7). What is the tens digit of m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 3091.\nAnswer: -97\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(-2530 - 4133 + 1310 - 5180 + 783).\nAnswer: -9750*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53401 + -133?\nAnswer: 53235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.0056 - -6. What is j rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 2*x**2 - 4*x + 4. Let s be u(3). Let z = -12 - s. Suppose -z*p = p - 348. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n\/n**2)\/n)**(-2\/53)*(n**(-1))**3*((n**(2\/3))**(-11\/4))**(-6\/11) assuming n is positive.\nAnswer: n**(-108\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47378477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (150529 - (5 - 3)) + 0\/(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 337\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -190751\/49 and -3892 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 2*q**3 - 45 + 39 to m*q + s*q**2 + j + d*q**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*n - 32. Let o = 3.48 - 3.7. Is o less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 17 = 5*y, 4*s - 19 = -5*y + 10. Suppose 0 = -5*t + 4*k + 20, -9 = -5*t + 3*k + 11. Which is the smallest value? (a) t (b) 0.3 (c) s (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4212 divided by 1\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 + (2 - -4) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38400\/32 + ((-8)\/(-6))\/2*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05277 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 508670924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2065 - 366 = 3*d + 5*x, 5*d - 2842 = 2*x. What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -2 + 3)*79\/158\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881927 to the power of 1\/2, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(30)\/sqrt(96)))**2 + 0 + 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -74. Let h(m) = -a + 3 + 5*m + 2 - 4*m. Let k(o) = 25*o + 30. What is -30*h(b) + k(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + -10.3. Let o = 16 + j. What is the closest to -2\/5 in -2\/3, 1, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 5*q**2 + q**2 + 0*q**2 - 9*q**2. Let f(c) = -9*c. Let g(y) = 36*y. Let m(o) = -9*f(o) - 2*g(o). Give m(a(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {h: 2, p: 3, o: 9, n: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7 (b) -0.5 (c) -6\/3979 (d) -1 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (693 + 25*l - 344 - 337)*((l + 2*l - 5*l)*(-2 + 3 + 0) - 3*l + 0*l + 2*l + (-3*l + l + 0*l)*(-4 - 4 + 4) + 2*l - 4*l + l).\nAnswer: 100*l**2 + 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 489\/2752469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 7*a - 3. Let p be t(6). Suppose p*b - 3 + 6 = 0. What are the prime factors of b\/(3\/(-18)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 - v + 4. Suppose 18*j - 22*j + 5*k = -31, -3*k - 9 = 0. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(-80 + 118 + 147)*(-3*u + u + 0*u).\nAnswer: 370*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 227314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 + 88*c - 344. Let l be p(-14). Sort -2, -6, l, 2 in decreasing order.\nAnswer: 2, -2, -6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) 4\/3 (c) -47 (d) 0.12 (e) -1\/4 (f) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 50*d**3\/3 - 25*d**2\/2 - 82*d. What is the tens digit of x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 0. Let n(k) = k**2 - 6*k + 2. Let u be n(l). Let c(i) = i**3 + 4*i**2 + 2*i - 1. List the prime factors of c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (2 + -3)) + 0. Suppose -v*l + 178 = 55. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u + 95. Let i be l(-33). Suppose i = 5*d + 3*y - 594, 2*d = -5*y + 615. What are the prime factors of d?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151515.\nAnswer: 3, 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 3686236*p**3 - 7372484*p**3 + 10*p**2 + 3686221*p**3 - 10*p**2.\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 46640878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271027539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {s: 1, o: 5, a: 4, r: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2. Let h(z) be the first derivative of 4*z**3\/3 - 3. What is h(x(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 - 5*r**3 + 10*r**2 + (-535*r + 75803 - 75803)*(-1 + 1 + r**2) in the form s*r + k + z*r**2 + a*r**3 and give a.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 9 + 10*q - 25 + 76.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 3*s - s + (-2*s + 0*s + s)*(4 - 4 - 3) + (-42 + 8 - 59)*(s - 1 + 1) in the form m*s + b and give m.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 273 or 47?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 divided by 108?\nAnswer: 79\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 63*k + 2*k**4 + 64*k + (5 - 1 - 2)*(-2*k**4 + k**4 + 2*k**4) + k**4 + 3*k**4 - 2*k**4.\nAnswer: 10*k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.1. Let t(y) = y**2 + y - 3. Let q be t(1). Which is the nearest to q? (a) -0.2 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 7\/9, -81, 2\/11?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 161*k - 782. Let u be n(-5). What is the fourth smallest value in 1, 32, u, -7\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*t + 527*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(1\/3)*r*r)**(-11\/2)\/(r**1)**46*r\/(r*r**(-5))*r*r**(-1\/8)*(r**(-1)*r)**16 assuming r is positive.\nAnswer: r**(-1667\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-16)*8\/68. Let j = y - -101\/68. Let z = 248\/1215 - 1\/243. Which is the second smallest value? (a) z (b) 3 (c) -7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4446656 + 1003?\nAnswer: 4447661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-3\/2)\/((k*k**(-1\/6))\/(k\/(k*k**(-4\/11)))))**28 assuming k is positive.\nAnswer: k**(-434\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 92*z**2 + 13*z - 58. Let y(r) = 31*r**2 + 4*r - 21. Calculate -4*q(v) + 11*y(v).\nAnswer: -27*v**2 - 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q - 435. Let n be i(27). Sort -1, 3, -4, n, -47 in ascending order.\nAnswer: -47, -4, n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 times -3826?\nAnswer: -2483074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2. Let j(r) = 23*r + 30*r + 35*r - 129*r. Give j(c(n)).\nAnswer: -164*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-12)\/18)\/((-1)\/(-3)). What is the greatest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651336 (base 7) in base 13?\nAnswer: -3c7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 52*r**2 - 30*r + 1538. Determine n(52).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-2 - (-10 - (-29 + 10)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 w when three letters picked without replacement from {b: 3, w: 3, t: 6, n: 3}.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.44 and -0.04.\nAnswer: 0.1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 + -316. Let r(q) = -q**2 + 6*q + 20. Let g be r(t). Solve -g + 8 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 140.34?\nAnswer: -154.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 686382*a + 3544794 wrt a.\nAnswer: 686382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 - 297*u**3 - 6*u**2 - u + 229*u**3 - 8*u**2.\nAnswer: -68*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + a = -171, 0*a - 3*a = -4*l + 177. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1520 - -1519. Which is the nearest to 1? (a) p (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686 > 2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -177110 and -177111 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -1131, -1692, -2251, -2808?\nAnswer: -3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10231332002332?\nAnswer: 10231332003003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g**4 - g)*(3 - 3 + 2*g) + g**2 - 3*g**5 - g**2 + g + g**5 - g + (g - g + 2*g**4)*(g - 5*g + 3*g) + 14*g**2 + 20*g**5 - 14*g**2.\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 3654.\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -5*v - 103. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 1 = -2*p - 28*v, -5 = -2*p - v. Let m be ((-24)\/(-20))\/((-6)\/(-100)). What is the highest common factor of p and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c + 3. Let j(x) = 2*x**2 - 35*x - 20. Let h be j(18). Determine f(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4361190 times -18?\nAnswer: -78501420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, 2\/71, 1, -2454, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 6, 0.1 in descending order.\nAnswer: 6, 0.1, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621233*a**5*b**3 + 396*a**2*b**3 - 73*a*b**3 + 254*a*b**2 + 110*b**3 + 2 wrt a.\nAnswer: -12424660*a**3*b**3 + 792*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 11*w - 14. Let h be (1\/5 + 1)*(-7 + 2). List the prime factors of g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 144 - 204. Suppose -3*b = -y + t, -3*y = -b - 12 + 2. Let f(q) = -2*q. What is f(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -67. Let j(l) = -5000*l**3 - l + 2. Let i be j(u). Round i to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15421 (base 7) in base 6?\nAnswer: -32011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/((-7)\/7). Let i(b) = 21*b**3 + b**2 - 1. Let n be i(1). Solve 4*l = -3*g - n, -l = -2*g - o - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**9\/84 + 17*j**5\/60 - 6*j**2. What is the third derivative of i(z) wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 3*w**2 - 2*w**3 - 7*w**4 + 4*w**4 + 3*w**4 - 2*w + 5*w**4 to the form u*w**2 + f + t*w + x*w**3 + a*w**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/((-4)\/(-18)). Suppose 0 = 3*x - 2*s - 485, -2*s = -5*x - 4*s + 803. Suppose 15 = j*h, 0 = u - h + 3 - x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 255*v**2 - 59*v + 36. What is the units digit of g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 22*r - 10*r - 11*r. Suppose 0 = -j + f + 5, f + 0*f + 5 = 5*j. Let c(h) = -3*h + h + j*h. Calculate z(c(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3161, -3066, -2969, -2870, -2769, -2666, -2561?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3949 - 3936. What is the highest common factor of 11089 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2250190311, -2250190313, -2250190315, -2250190317?\n\"Answer: -2*j - 2250190309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 49*l - 7*l = -1064. Let o(u) = -u**2. Let f(y) = -3*y**2. Give l*o(j) + 4*f(j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/23))\/(l**17*l) assuming l is positive.\nAnswer: l**(-389\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1952 + 43fc?\nAnswer: 2aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-2\/7)))\/(v**(3\/2)\/v))**(-14) assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9716469 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*j - 131*j + 6148 + 7528 = -585*j for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + 81. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25249, 50498, 75745, 100990, 126233, 151474?\n\"Answer: -u**2 + 25252*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + 1 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.03, 0, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60241*q - 3*h = -60239*q, -3*q - 2*h = 10 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:01 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*8\/(-10). Let y = 22 - 7. Suppose a = -2*a + y. Solve v - a + t = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 + 53 - (0 - 1)) + (-1 - 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/2 - ((-73919)\/2 - (-131 - -142))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -89. Let o = -28 - m. Calculate the remainder when 20 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Let d = -1.8 + 1.1. Let p = d + 0.5. What is the biggest value in 0.5, p, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36114.\nAnswer: 2, 3, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465025.\nAnswer: 5, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -15\/13 (c) -4 (d) -0.2 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 9.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lovollomgmo. Give prob of picking 1 o, 1 g, and 2 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 6*i**2 - 8*i - 9. What is the remainder when u(-7) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgygdgggggygdd. What is prob of picking 1 g, 1 d, and 1 h?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 - (-18)\/(-4). Let v be (2\/k)\/(2\/(-24)). Suppose 5*h - 3*f = -v*f + 4, 4*h + f - 6 = 0. Solve -h*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000393748308 to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) + 442\/(-765) + 2\/3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9179 - -15363. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-303)\/(-30) - 12\/120. Solve 803*r - 808*r = -l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 66*o - 64.\nAnswer: -2*(o - 32)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 + 13666*w**2 - 16*w - 5667547 wrt w.\nAnswer: 6*w**2 + 27332*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -250, -244, -226, -190, -130?\n\"Answer: v**3 - v - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8295?\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123022130 (base 4) to base 16.\nAnswer: -1b29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j, 5*y = -j + 15 - 6. Does y = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -18, -44, -80, -126, -182, -248?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/270 - 5*p**4\/18 + 25*p**3\/3 - 7*p**2 + 2*p. Determine b so that t(b) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 3, l: 1, h: 3, i: 5}. Give prob of sequence ihl.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*b + 4. Let s = -56.068 - -56. Let o = s - 0.032. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -41263*q + 2063132. What is k(50)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**2 + q + 2. Let z(k) = 17*k**2 - 3*k - 5. Calculate 5*y(x) + 2*z(x).\nAnswer: -6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3008)\/(-658) + (-3)\/(-7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.651244 minutes to hours.\nAnswer: 0.0441874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -168, 2\/17, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 93\/124*(-2 + 1960\/12). Calculate the highest common factor of 121 and y.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -90a - -22c8b?\nAnswer: 22381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7175, 8, 0, -3 in ascending order.\nAnswer: -7175, -3, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3009386.\nAnswer: -2\/1504693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -17 (c) -86 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*p - 5 - 15, 0 = -m - 5*p - 18. Let d be (-2)\/(2 - (-72)\/(-33)). What is the derivative of 0 - 6*v**2 - 18*v**m + d + 0*v**2 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/3*(-774)\/12. Let w = -52 + c. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. Let w = 0.11 - 1.11. Let b = w - t. What is the closest to -2\/3 in b, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.09 + -1.4. Let g = -0.9 - -1.2. Let a = g + k. Round a to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:39 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136485, 272928, 409341, 545724, 682077?\n\"Answer: -15*a**2 + 136488*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:53 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o + 2637. What is the least common multiple of 378 and g(27)?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1330, 2412, 3228, 3766, 4014?\nAnswer: 3960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 817688 to the power of 1\/2, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, i: 3}. What is prob of picking 3 u?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 240490123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13747 and 118.\nAnswer: 27494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073*0.534.\nAnswer: -0.038982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 22 = 4*o. Suppose -o*v + 27 = -1. Let b = 4 - 3. Calculate the greatest common divisor of b and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 0.08, 0.5, 0.07?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - t + 414 = 0. Suppose -t + 19 = -5*v. Solve 5*a + 0*a + v = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/770)\/((-1)\/4 - 11\/20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 153716.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -180)*(-4 + (7 - 4)). Let j be (-78)\/r + (-1312)\/(-7). Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.08304047 rounded to 3 decimal places?\nAnswer: 10.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, 9, 31, 63, 105, 157?\n\"Answer: 5*x**2 - 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 11 = -9. Put 3, m, -6 in descending order.\nAnswer: 3, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-1)*y))*y**1\/y*y)\/((y\/((y*y*(y\/(y*y**(2\/15))*y*y)\/y*y*y*y)\/y))\/y**9) assuming y is positive.\nAnswer: y**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 783561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/120 + i**5\/6 - 3*i**4\/8 - 7*i**3\/3 - 5*i**2. Calculate the remainder when p(-10) is divided by 0 - (2 + -2 + -26).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 4*s**3 + 5*s**3 + 2*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 54*v + 9. What are the prime factors of d(9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -40. Suppose -2*y - 3*t + 37 = 0, d*y + 5*t + 45 = 4*y. Calculate the greatest common factor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 183, 678, 1445?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -100, -222, -392?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + -6522?\nAnswer: -6576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2853241745786 + 3*q - 17*q + 2853241745786.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/5 (c) 3\/5 (d) 3.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-91))\/((-20)\/(-14))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 961870 divided by -151\nAnswer: -6370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Suppose -6 = 4*s + 2. Let p be (1 - -3) + s + 1. Put p, y, -4 in increasing order.\nAnswer: -4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - j**2 + 0*j + (2 - 2 - 2)*(4*j**2 - 4*j**2 + j**2) - 5*j**2 + 5*j**2 + j**2)*(-865 + 28*j + 865) in the form n + l*j**2 + h*j + w*j**3 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 2491, 5295, 9147, 14041?\nAnswer: 19971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2238*q**3 + 4 - 4460*q**3 + 2224*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (10 + -9 + (-4 + 14 - 5)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3745, -3617, -3489?\n\"Answer: 128*b - 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -280139, -280125, -280111, -280097, -280083, -280069?\n\"Answer: 14*m - 280153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*2.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ostftttmzooftsttfo. What is prob of picking 1 m and 1 o?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + (20 - 22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, 8, -2 in increasing order.\nAnswer: -3, -2, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727483790 to the power of 1\/3, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4153450 to the nearest ten thousand.\nAnswer: 4150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let b be (-2)\/(o + -29)*-2. Is 1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2160494*x - 737494.\nAnswer: -2160494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353343440 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: Solve 1304*p - 12106 = 49182 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-10))\/((-6)\/(-56)). Let d = 29 + r. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.99 - 4.99. Which is the nearest to -0.3? (a) o (b) 1 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204844*i*z**2 - i*z + 3403*i + 5*z wrt z.\nAnswer: -409688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3929.573 litres to millilitres.\nAnswer: 3929573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130*f**3 + 5719*f**2 - 7*f - 127835635?\nAnswer: 390*f**2 + 11438*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v - 938. Give y(-135).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from mmmmmmmommmommmo.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 1741. Let g(v) = 6*v + 2677. Give 8*d(l) + 5*g(l).\nAnswer: -2*l - 543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255754345.\nAnswer: 5, 23, 2239, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 3*k + 15, 3*h - 10 + 1 = k. Suppose -y = -h*x + 55, 0*x + 2*y + 92 = 5*x. Suppose d - 4*d = -x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-78)*-3 + (-80)\/(-182). Which is the nearest to -2\/9? (a) i (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5190 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/(50\/125)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(5*a**2 - 3*a**2 + 0*a**2) - 6*a**2 + a**2 + 2*a**2 + 6*a**2 - 12 + 12)*(-5 - 1 + 1).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/(4\/(-42)). Suppose -175 = 5*m + 5*w, 6*w + 101 = -3*m + w. Let o = m - -107. Calculate the highest common factor of r and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -85.99999682. Round s to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8890 divided by -889\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 7*g + 8. Let z be j(-6). Suppose 2*p = -5*m - 15, -m = 2*m - p - 2. Is (z + -3)*(-36 + m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -728 - -1428. Suppose -4*k + 9*k - x = 0. Suppose -k = -5*t + 480. Does 62 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748 = 263*p + 808 - 2544 - 7691 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -304 + 304 - 2*t**2. Let m(q) = -12*q**2. Give c(m(f)).\nAnswer: -288*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c - 172 = 0, -3*p + 149 = 3*c - 2*c. Calculate the lowest common multiple of p and 54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s*s)\/s**(8\/5)*(s*s\/(s**(1\/16)*s)*s)\/s**(1\/8) assuming s is positive.\nAnswer: s**(-543\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13007286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 62 = -14. Let c(w) = -10*w + 17*w - 8 - x*w. List the prime factors of c(-10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**5 + 134166700*l**4 + 4500175981389198*l**3 + 9000351560278300*l**2 + 4500175713055801*l = 0.\nAnswer: -67083349, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnppppapppnpa. Give prob of sequence app.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 16*s**3 + 2*s**2 - 2*s + 1. Let g be f(1). Calculate the remainder when -3 + (-4)\/(-1)*g is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3103 + 77 = 6*z. Suppose -28*b = -z - 2074. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.24? (a) -0.8 (b) 3.5 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1658 - 6314 - 2475 - 203 = 150*y for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-125)\/(-50) - (-2)\/((-8)\/(-6)). Suppose u*g - 21*t + 36 = -17*t, 26 = -2*g + 4*t. Let y(h) = -h**2 + 0 - h + 5 - 2*h. Determine y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 2, b: 1, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(9) + sqrt(45)\/sqrt(5)) + sqrt(15))\/(3*-1*sqrt(3)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37870158 by -6.\nAnswer: 6311693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 3. Let j be (-10)\/(-35) - (-9)\/(-7). Let s be j + (-3 - (-12)\/3). Suppose s = -4*m - m + 25. Let k(v) = 3*v - 2. What is m*h(t) - 7*k(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 smaller than -215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*p - 98*p = -72 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3616*h**2*i**3 - h**2*i**2 + 83*h**2*i - 5*i**2 wrt i.\nAnswer: -21696*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*j + 3*j = -34, 3*h - 2*j = -20. Let q(f) = -2*f**3 - 2*f**2 + 13*f + 14. Let b be q(h). Suppose 0 = -4*o + 352 + b. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 + 1 = -y, 3*c - 3*y + 9 = 0. Suppose -c*k = 3*t - 20, -4*k + 2*t - 3*t + 20 = 0. Calculate the remainder when 13 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvagggsavvagfaggvfg. Give prob of picking 2 g and 1 f.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8768?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e1085 - 4?\nAnswer: -2e1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c + 60. Suppose -42*g + 642 = -10*g + 34. Determine u(g).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -1703, -3828, -6787, -10568, -15159?\nAnswer: -20548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(2\/27))\/(c*c**(-4\/3))*c**(2\/23)*c**(-11) assuming c is positive.\nAnswer: c**(-5282\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -2\/21, -2\/3, 0.1, -25?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 5. Let v(b) = 3*b - 15. Let a(h) = 17*n(h) + 6*v(h). Let l be 3*-1 - 8\/(-8). Let y(w) = 2*w**2 + w. Let o be y(l). Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136\/5 - 1297\/60. What is the common denominator of x and -75\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43482827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 27 = 3*v - 2*v, 0 = -v - q + 15. Suppose 2143 = 3*z + 5*i, -13*i = -v*i + 8. Let j = -488 + z. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176728786.\nAnswer: 2, 13, 6797261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4458, -2\/9, -35\/2, -0.253, 1?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 - 7. Let q be g(5). Let z = q + 11. Let o(p) = -p**2 + 6*p - 2. Determine o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115 + 223. Calculate the greatest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 4. Let d be j(2). Let o be (14\/4)\/((-3)\/(-6)). Let k(w) = -6 - 3*w**2 + o*w**2 - 5*w**2 + w. Calculate k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6969788 and 8438.\nAnswer: 6969788","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5664059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 250957092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.543154 centimeters in kilometers?\nAnswer: 0.00005543154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 - 214*x**3 + 22454*x**2 - 2162342*x\/3 - 5180116.\nAnswer: 2*(x - 109)**3*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y - 2. Suppose 0 = 19*i - 7*i - 24. Let x(l) = -3*l**2 - 4. Let r(u) = i*x(u) - 4*a(u). Calculate r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*4*sqrt(204)*1)\/((sqrt(432) - (sqrt(432) + (sqrt(432) + 3*sqrt(432))*-6 + sqrt(432)))*-5).\nAnswer: 4*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, u: 3}. What is prob of sequence uvv?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 4 = 0. Which is the nearest to 1? (a) 7 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.25 (b) 14 (c) 26 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 - -144. Which is the nearest to 2? (a) -5 (b) 4\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*p - 2 - 3 + (p + p - 4*p)*(3 + 2 - 2) in the form z + t*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62, -166, -270, -374, -478, -582?\n\"Answer: -104*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 2. What is the first derivative of 5 + 1 - 9*u**4 - h wrt u?\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/3)\/((d*d\/(d\/(d*d**(2\/17))))\/d))**(1\/8))**(5\/2) assuming d is positive.\nAnswer: d**(-115\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let s = 20 + -24. Let b be t(s). Let f be -2 + (b - 18\/3). Put 0, f, -3 in decreasing order.\nAnswer: 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539))*-4 - sqrt(539).\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**15*v**17*v\/(v*v**(-18)\/v)*v**(3\/19)\/v assuming v is positive.\nAnswer: v**(972\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177 + 153 - (-23 + 4) - -16) + 0 + -96.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-2\/7)*s)\/s)\/s)\/s)\/(s*s*s**0)*s**3\/s*s**(-4)*s assuming s is positive.\nAnswer: s**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l*s**2 - 3*l + 273*s**5 + 2*s - 156 wrt s.\nAnswer: 20*l + 5460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*x - 3*s, -2*x = 2*x + s - 123. What is the second derivative of 38*z - x*z - 12*z**2 + 1 - 19*z wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220 - -369. Let d = 103 - p. Let i = d + 48. What is the closest to i in 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 1, b: 5}. What is prob of sequence vb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h. Solve -3*d = -2*x - x + 15, h = -3*x - 3*d + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69328997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -195*n - 36654. Calculate p(-188).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 2*4\/8. Suppose -21*j - n = -23*j. Sort -4, 2, -3, j.\nAnswer: -4, -3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 739*b**7\/42 + b**4\/12 - 145*b**3\/6 - 32*b - 11. What is the third derivative of f(q) wrt q?\nAnswer: 44340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*-3*sqrt(171))\/(-4*(sqrt(36) + sqrt(9))).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 654401 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 6*d - d - 175, -5*d - 5 = 0. Let h = -55 + g. Find the third derivative of h*f**5 - 34*f**5 + 5*f**5 - 14*f**2 wrt f.\nAnswer: -1440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1))\/f)\/f*f)**(15\/4)*f**(1\/11)*f\/(f**(-5\/6)\/f) assuming f is positive.\nAnswer: f**(-109\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7709, -12567, -17417, -22259?\n\"Answer: 4*l**2 - 4870*l - 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/4 (c) -0.2 (d) 1 (e) -2894479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 4*v + 30, -4*o + 5*v = 786 - 839 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 36.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6011*k**3*r**2 + k**2 + 8*k*r**2 + 317 wrt k?\nAnswer: -36066*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(10\/(-4)) + 2. Let m = -312 + 316. Let t be (-136)\/(-40) - m\/10. Solve t*b - 7*b - 4 = f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 62*f + 693. Calculate g(-10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)\/sqrt(4) + -2.\nAnswer: -2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-5 - (-4 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468661 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15710 - 15621 - (47 + 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 4. Let y be l(4). Suppose -2*k = -k - d, 2*d = 5*k - 6. Find the third derivative of v**2 + v**k + y*v**5 - 3*v**2 + 3*v**5 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, m: 3, x: 2, j: 2, v: 2}. What is prob of sequence vxvx?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 270940091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 t when three letters picked without replacement from tfftff.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 5, j: 1, x: 5, w: 5}. What is prob of picking 1 w and 1 x?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let u(p) be the first derivative of 9*p**2 - 10*p - 43. Let a be u(3). What is the highest common divisor of a and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 641206 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - -55. List the prime factors of b.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g - 36*g - 55*g - 78*g in the form h*g + i and give h.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 + -4 + (5 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/480 + c**5\/80 + c**4\/32 + c**3\/24 - 5*c**2. Let g(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*v, -5*v = 4*g - 6*g. Let h = g + -1. Suppose -5*b + 9 = 3*a, 5*a - 15 = -2*b - 2*b. Put h, b, 1 in increasing order.\nAnswer: h, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 387538 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 641 - -22451?\nAnswer: 23422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 8*y - 5*v - 12, y + 4*v + 9 = 0. Suppose -5*r - 3*d = 5 - 103, 3 = y*d. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 8*r - 15. What is h(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 56*z + 1. Let r(d) = -3*d**2 - 28*d - 1. Let q(k) = -2*f(k) - 5*r(k). What is the units digit of q(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*z**2 - 250*z**2 - 13*z**3 - 250*z**2.\nAnswer: -13*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1 (b) 5 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 957819.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4551)\/205)\/(-37)*16\/6*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-1)**2)) + sqrt(2448) + 3)*4.\nAnswer: -29340 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -6.02. Let f = -0.098 - -5.918. Let n = d - f. Round n to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2432 - -1142251?\nAnswer: 1145123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(-100 + 1014 - 121)*(-2*o + 3*o + o) as f + b*o and give b.\nAnswer: -1586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 649329 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -2, 32, 222 in descending order.\nAnswer: 222, 32, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*t - 5*n, 0 = -3*n - 0*n - 6. Suppose t*r = -501 + 1929. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i - 3*u, i = 2*u + 5 + 1. Suppose -3*l - 2 = -5*l + 4*m, 0 = 3*m + 3. Sort i, 3, l in decreasing order.\nAnswer: 3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 303?\nAnswer: 5757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 275 = 85. Let x = l + 1001. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511666.9 millennia in decades?\nAnswer: 51166690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 = -4*k - 56, 2*k - 4*h = -54 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l + 23. Let a be d(-11). Which is greater: 0.04 or a?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282 times 61.7328\nAnswer: -17408.6496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2727 to 2 decimal places.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 7*b - 4. Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592 >= 3599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17840778 and 35681556.\nAnswer: 35681556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 1.95. Let y be (-2)\/(-10) + 16\/(-5). Let r be 92\/28 - 2\/7. Which is the nearest to f? (a) -4 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (20 + 2 + -49).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, r: 4, w: 2, y: 1}. Give prob of sequence yrj.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + h + 3*h**2 - 2*h**4 + h**3 - 3*h - h in the form m*h**2 + x*h**3 + t + f*h + n*h**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)\/r)**(-15)\/(((r*r*r*r*r**(2\/5))\/r)\/r*r**(2\/13)*r) assuming r is positive.\nAnswer: r**(8133\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89\/27 + -26\/27. Let n be 4*((-525)\/66 + 8). Put -1, -0.1, y, n in ascending order.\nAnswer: -1, -0.1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/4 + -3\/2. Let g = -86978 + 86975. What is the closest to -0.1 in 0.5, v, g, -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -2. Suppose -k - r*k = 27. Let j = 16 + k. What is the greatest common divisor of j and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -499, -814, -1255?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.3 + 17. Let q = h + 0.3. Let p = 0.9 - 5.9. Put q, 3, p in descending order.\nAnswer: 3, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9715 - -9718. Let r(l) be the third derivative of 0*l + 0 + 1\/60*l**5 - 2\/3*l**d - 1\/12*l**4 - 23*l**2. Give r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0 (c) 63 (d) -3\/2 (e) -5\/7 (f) 3 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 101416?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273059925 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/9, 458, 3\/4, -0.9, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/12)\/(((-1)\/12)\/(-1)). Suppose -t*m = -3*k - 18, -2*k + 18 = 3*m - 4*k. Calculate the least common multiple of m and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + 2*l - 3*l)*(4*l + 0*l - 2*l) + 3*l - 3*l + l**2 + 4*l**2 - l**2 - l**2)*(-1 + 3 - 1)*(2 - 3 - 2 + (-1 + 4 - 1)*(-2 - 2 + 6) - 20 + 4 - 8).\nAnswer: -161*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oononnoononno. Give prob of sequence non.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 56 = -8*q + 5*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 518 = -107. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**11*u*u*u*u)\/u**(-5\/8) assuming u is positive.\nAnswer: u**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -238880000 rounded to the nearest one million?\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174, 699, 1708, 3339, 5730, 9019?\n\"Answer: 23*g**3 + 104*g**2 + 52*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.4 (b) -590.81 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -85\/32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195*x - 195*x - 23*x**2)*(-x - 3*x + 5*x - 4*x + 0*x + 3*x + (3 - 4 + 0)*(x - 1 + 1) - 1 - x + 1)*(-2*x + 2*x - x**2).\nAnswer: -46*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2820444 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-312)\/(-26))*(-6)\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*b**4 + 16648*b**3 + 6*b**2 + 120*b + 27?\nAnswer: 216*b + 99888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2828 and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 102. Let y(u) be the third derivative of u**6\/120 + u**5\/12 + u**4\/12 + 4*u**2. What are the prime factors of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -107709382 or -107709383?\nAnswer: -107709382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1068)\/2937 + (-6)\/(-22)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141585 and 14825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -640 - -641. What is the highest common factor of 89 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*l + 4*m, -34 = 3*l + l - 5*m. Let k = l - -14. Suppose 2*g = -r + 20, 6*r - 69 = k*r - 3*g. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 1. Let v be 189\/(-168)*12\/54. What is the biggest value in -19, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.916 in 4, -3, -120?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*u + 143*u = 188*u - 420 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 5*f**2 + 11*f + 19. Let h be o(-8). Let n = h - -38. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8149*l**2 - 5*l - 691. Let f(j) = -12222*j**2 + 7*j + 1037. Let c(p) = 7*d(p) + 5*f(p). Differentiate c(s) with respect to s.\nAnswer: -8134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 259679c8 + 5?\nAnswer: 25967a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 1 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 12. Suppose -68*o - 3*o + 737 = -4*o. Solve o = y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 9745.\nAnswer: 9745.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Let d = j - -1. Suppose 0 = d*q - 75 - 69. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -3166, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 16*q - 6. Let d(b) = b**2 + 1. Let m(o) = -3*d(o) - j(o). Let p be m(16). Solve h + 7 = p*h + 5*t, 5*h = t + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 12*h - 4. Let u(y) = 6*y**2 + 21*y + 7. Let s(i) = 7*n(i) + 4*u(i). Let f(w) = -68*w**2 + 2. What is f(s(a))?\nAnswer: -612*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1688 + -845. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 2. What are the prime factors of n(-12)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**8\/48 + 13*g**5\/20 + 33*g**2. Find the third derivative of z(t) wrt t.\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 - -6.16. Let n = -5.94 + s. Suppose 0 = -t - 5*z - 12, 3*t + 1392*z - 1390*z = -10. What is the closest to t in 2\/13, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**4 - 1\/5*o**2 + 1\/5*o - 1\/5*o**3 + 0.\nAnswer: o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -194, 2022, -1 in decreasing order.\nAnswer: 2022, -1, -2, -5, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583336 plus -227.828?\nAnswer: 583108.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23562728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 2 - 4 - 26)*(2*t - 6*t + 3*t).\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 15*o = 35. Suppose 25 = o*b + 4*i, 2*i = b + 4*i - 5. Suppose -6 = -b*s + 3*s. Solve s*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 1507700 = -24*x. List the prime factors of x.\nAnswer: 2, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189*o**4 + 212316*o**3 + 767*o**2 - 74854*o.\nAnswer: 4536*o + 1273896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**3*w*x*z - 2*f**3*w*z + 277*f**3*w - 3*f**3*x*z - 2*f*z - 4*w*x*z wrt x?\nAnswer: 5*f**3*w*z - 3*f**3*z - 4*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376869.\nAnswer: 13, 105913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -2*s**7\/3 - 4*s**6\/15 + 14*s**5\/5 + 4*s**4\/3 - 14*s**3\/3 - 4*s**2 - 12*s. Let y(b) = 0. What is b?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*r - 40 + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = 44. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 12, -84, -204, -342, -492?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9251 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c**4*v - 60*c**4 - 9*c**3*v + c*v - 7*c + 86*v wrt c.\nAnswer: 276*c**2*v - 720*c**2 - 54*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/7 (b) -3 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 17\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 15. Let u = m - -103. Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.4 (b) -3\/40 (c) 0.5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 10 = 9*t - 2*q, 5*t = q - 9. Let u be (-3)\/(-10)*4\/(-138). Is t equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7756 and 598444.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(2 + 4 - 5)*(-6 + 2 - 2)*(3*d - 3*d - 2*d) to the form g*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d + 4*f - 16, -2*d + 4*f - 16 = 0. Let t be (0 + d)\/(2\/2 - 4). Solve 0 = 5*p + 2*i - 7, t = 3*p - p + 3*i + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066180000 rounded to the nearest one million?\nAnswer: 1066000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4134.9769 to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 865305979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -877\nAnswer: 5\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 18*t + 88. Give n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 2*r**3 - r**2 + 4 + (-2*r + 0*r + 3*r + (12 + 10 + 4)*(-r - 1 + 1))*(-2*r**2 + 1 - 1) to the form i + b*r + m*r**3 + s*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/7)\/v)\/(v\/(v*v**(-10)\/v)))**(-26) assuming v is positive.\nAnswer: v**(2158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 78925*k**2 + 788795*k - 709875.\nAnswer: 5*(k - 15775)*(k - 9)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(2 + (2 + -4 + 1*sqrt(475) - ((sqrt(475) + -1)*6 + sqrt(475) + (2*sqrt(475) - sqrt(475)) + sqrt(475) + 4))))**2.\nAnswer: 160*sqrt(19) + 121601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 4. Suppose a + 0*w + w = -3, -8 = 2*a + w. Let y = a - k. Solve -x = -4*x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -33*o. Let a(t) = -11*t. Let h(z) = -17*a(z) + 6*c(z). What is the tens digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 230, 219, 200, 173, 138, 95, 44?\n\"Answer: -4*u**2 + u + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-105)\/11) + (-184)\/(-308).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.094 + 1.194. Let m be -2*3*(-4)\/(-36). Which is the second smallest value? (a) u (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*i)*((5*i - i - 2*i)*(-2 - 4*i + 2) + i**2 - 4*i**2 + 5*i**2).\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 114639.1596s?\nAnswer: 0.189548875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/12)\/(2\/(-8)). Suppose -3*g = -11 - z. Suppose 4 + 1 = -g*u - 5*s, 2*u - s = 15. Solve 2*p = -2*l - l + 2, -l + 5*p = u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4908575.8*0.1\nAnswer: 490857.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.365 (b) -3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8*k - 15900. Let i = 3197 - k. Suppose -4*s + 0*h - 4*h = -1300, -5*s + 4*h = -i. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 12*j + 23. Let y be g(13). Suppose i + 126 = y*i. Suppose r - 4*x = 69, -x = -5*r + x + 399. Calculate the remainder when r is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 + 263*y**2 + 1341*y?\nAnswer: 40*y**3 + 526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + 44\/10. Suppose -d = -2*d + 2*i, 2*d + y*i = 24. Which is smaller: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 12:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -0.5, -9, -2\/15 in descending order.\nAnswer: 0.3, -2\/15, -0.5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 40\/5893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31362425 is divided by 1493448?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -334 and 93.3.\nAnswer: -240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -226*l**3*u + 77*l**3 + u wrt u?\nAnswer: -226*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 12, -19, -50, -81, -112?\n\"Answer: -31*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6991032 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/7))**(7\/2))**13*(d*d**(-1\/2))**(1\/63)\/(d**(-7)\/d*d*d**(1\/7)) assuming d is positive.\nAnswer: d**(4118\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 - 2 = 0. Solve v = -3*y - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14835 divided by 1\nAnswer: -14835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35505 divided by 3.\nAnswer: 11835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35176 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b*k**4 - 518*b*k**2 - 4*b*k + b - 61*k + 4 wrt k?\nAnswer: 324*b*k**2 - 1036*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8415010*l**4 + 25883988?\nAnswer: 33660040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -98. Suppose 0 = -l*v + 55 + 20. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 42 - 2. Suppose y - 2*w + 10 = -0*w, 3*w - 13 = y. Let p = y + a. Solve -3*o = 9, -5*h - 2*o - p - 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-154)\/(203\/29)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8408 (base 11) to base 2.\nAnswer: -10101110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = p - n, p - 3*p = -4*n + 44. Let z = 39 + p. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-6)\/(-4))\/((-4)\/(-72)). Let t be (4508\/6)\/(3\/x). Let z = -1581 - t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from {c: 2, z: 4, b: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djrl when four letters picked without replacement from {l: 7, z: 2, f: 4, d: 4, j: 1, r: 1}.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:34 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*l**2 + 4\/7 - 10\/7*l.\nAnswer: 2*(l - 2)*(2*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.259 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:22 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}