diff --git "a/data/dm_maths/full_data_1/10194_11255.jsonl" "b/data/dm_maths/full_data_1/10194_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10194_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (1*3\/(-24))\/((-480)\/34560)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-6))\/16*(-9)\/(-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 32*a + 12480. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = -6281 + 6237 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfwkkkiwkkwb. Give prob of sequence wmi.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -980*t + 483*t + 495*t - 16 to g*t + f and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = 49*t + 101 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s. Let a(r) = -r**3 + r**2 - r - 1. Let w(u) = a(u) + t(u). What is the derivative of w(y) wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*u + 39*u + 63*u**2 - 73*u to the form m*u + w*u**2 + d and give w.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 + 0*j**3 - 14\/3*j**4 - 2*j**2 + 0*j. Let o(h) = -h. Determine p(o(v)).\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -11395 - 98915. Is 161 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = 4*n + 120, -6*n = -3*n + 5*d + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*b + 35*b + 1760 = 25*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28*(-441)\/504*272\/(-56)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 157080000 = -4*l. What is l rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3 = -4*n, -5*y = 4*n - 37 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -70. Let i(z) = 4*z. Let y be i(3). Suppose 2*b - y = -o. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5321, -5335, -5335, -5315, -5269, -5191, -5075, -4915?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 1268\/(-12)) + 1. Let z = -105 + f. Sort 0.2, -0.4, z in increasing order.\nAnswer: z, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*k - 8 - 6, -4*k - 16 = -3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 885236.5 microseconds?\nAnswer: 885.2365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407537, 815105, 1222685, 1630283, 2037905, 2445557?\nAnswer: 2853245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20551575 greater than or equal to -20551576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/3 - 462*k**2 - 430325*k\/3 + 728800 = 0.\nAnswer: -911, -480, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/20 - 791*s**2. Let r(a) = -734*a**2. Determine r(d(h)).\nAnswer: -6606*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*4 + (sqrt(7) - (sqrt(7) + (sqrt(252)*-1)**2)).\nAnswer: -252 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 1 + sqrt(1088) + sqrt(1088))*5)**2.\nAnswer: 1128*sqrt(17) + 213275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -129085 (base 11) in base 3?\nAnswer: -101021122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 54 = w. Suppose n + 2*n = w. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 24*z + 149. Let v be x(13). Suppose 39*h - 37*h = v. Solve 4*i = 3*l + 22, -4*i + h + 3 = 5*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 3\/((-6)\/8). Suppose -3*d = 5*b - 5*d - 21, -3*b = l*d - 25. Is 4\/b - 2016\/(-30) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 10*z - 13*z = -182, z + 2*z = -3*p + 147 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -63245263?\nAnswer: -3\/63245263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/45*(-30)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*(-140)\/(-42)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 18 + 36 - 17 - 16 in the form f*c + j and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*(2 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggguu. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 161 = -481. What is the highest common divisor of r and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let g be b(-1). Suppose 5*i = s + 37, s = i + 5*s + g. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 3. Suppose 0 = -2*j + j + 2. Let h be s(j). Let l be (24\/156)\/(81\/117). Which is the closest to 5\/6? (a) h (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147682898*a**6 - 2*a**4 - 466135999*a**2?\nAnswer: 17721947760*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72808 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -16. Let s = m - 0. Find the third derivative of -3*p**2 + 2*p**s - 3*p**2 - 2*p**2 + 3*p**3 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*k - 6, 2*k = 5*u - 0*k. What are the prime factors of (-1)\/(1\/u) + 27?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119262127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103764 and 117?\nAnswer: 4046796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 1261.62\nAnswer: -1766.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + sqrt(13) + 0 - (sqrt(117)*2)\/sqrt(9))**2 - (sqrt(208) + -1)*5.\nAnswer: -20*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(32) + 2).\nAnswer: 10 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f**2 + 12. Let i(s) = 11*s**2 + 15. Let w(x) = -5*a(x) + 4*i(x). Let t(c) = 100*c**2. Determine t(w(u)).\nAnswer: 1600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e67a - -45?\nAnswer: -5e635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -965, -40, -5, 537, 4 in ascending order.\nAnswer: -965, -40, -5, 4, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/8*2 + 1. Let y be -2 - ((-60)\/z + 4). What is the greatest common divisor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271458079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2428 + -2372. Round c to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from eeeeegeegeggee.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19b (base 13) to base 7\nAnswer: -603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210491580 and 138930?\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504193 is divided by 304.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(1\/16)*q*q)*q)\/q*(q*q**(-22)*q)\/q*q*q)\/((q*q**(2\/23)*q)\/(q\/((q*q\/(q*q**(-1\/18)))\/q))) assuming q is positive.\nAnswer: q**(-70231\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*j - 0*j - 10, 5*f + 11 = -j. Let n be -9*(f\/6)\/1. Let v = -1 + n. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79349933*i + 61652122 wrt i.\nAnswer: 79349933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 436\/10 - (3 + (-34)\/10). Suppose w*r = 40*r + 8. Let u(l) = 2*l**2 - r*l + 2 + l**2 + 0*l**2 - 5*l**2. Determine u(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:30 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -49, -3, 132, -11 in decreasing order.\nAnswer: 132, 4, -3, -11, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v*v*v*v**(-2\/21)))**(-21)*(v**(-17)\/v)\/v*v**9 assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254 + 13*o - 254)*(3*o**3 - 3*o**3 + o**3).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*a - 31*a + 4860 = -57*a for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -581, -1497, -2779, -4427?\n\"Answer: -183*l**2 - l + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + 0 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -4*j**3\/3 - 6*j. Let t(w) be the first derivative of 10*w**3 + 5418. Calculate u(t(x)).\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 - 8 = 0. Suppose d*h - h - 20 = 0. What is the least common multiple of 18 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 19*b - 270. Suppose -8*j + 149 - b = 0. What is the units digit of 2\/3*1248\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 40330 = s, -5*s + 3 = 23. Let k = q - 8738. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*l**4 - 9818332*c*l**2 + 5*c*l + 25*l - 121642 wrt l.\nAnswer: 36*c*l**2 - 19636664*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vmdevgo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 3*u**2 + 11*u**2 + 1853*u**3 - 12*u**2 + 3*u**2 to x*u**2 + z*u + h + r*u**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v + 15. Let m(g) = -91369*g. Give m(h(x)).\nAnswer: -2923808*x - 1370535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/300*v**5 + 0*v**4 + 0 + 45*v**2 + 1\/840*v**8 + 0*v**3 - 1\/300*v**6 + 1\/1050*v**7 + 0*v. What is p in j(p) = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 52 = 8 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*z**3 - 42*z**3 - 24*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*q + 17, 27 = 5*q + 3*h - 2*h. Suppose 0 = 5*z - 10 - q. Suppose z*d = 6, 4*d = 2*g + d. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**3 + 57*z**2 + 18*z + 2?\nAnswer: 24*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/15*-6 + 701. Let t be m\/65 - (-6)\/39. Suppose -t*k = -9*k - 126. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18983492 is divided by 1493.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five quarters of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b\/b**(6\/11)*b*b*b**(-12))\/((b\/(b*(b\/(b*b\/(b*b*b*b**(-12)\/b*b)))\/b)*b)\/b**12) assuming b is positive.\nAnswer: b**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510403104 divided by 732.\nAnswer: 697272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-3)*300\/8. Let n be (0 + -3)*(-2)\/(-6). Let l be 21 - 0 - n - 2. Calculate the highest common factor of l and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*5\/(-100)*(-70)\/7)\/((-286)\/(-78))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -14. Let v(a) = -a**2 + 9*a + 5. Let j(u) = -u. Let x(f) = -j(f) - v(f). Let s be x(9). Solve 3*b = 3*h - h, 7 = -s*b + l*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3756 - -4471. Is 69 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 329*s**4 + 540*s**2 + 955694.\nAnswer: 1316*s**3 + 1080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:42 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-462)\/12)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52584 is divided by 271.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 + 8 = 0. Let x(p) be the first derivative of 0*p + a + p**3 - 3\/2*p**2. Find the second derivative of x(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2. Let i(l) = 21*l - 18. Let z(p) = p - 1. Let n be (-4 + 1)\/(7\/(-42)). Let h(v) = n*z(v) - i(v). What is h(u(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9.23, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106220302?\nAnswer: 2, 23, 131, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 - 9*i**2 + 14*i**3 - 33*i**3 + 15*i**3 - 3 + 2*i to the form h*i + g*i**3 + r + a*i**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 - 1 - 26*u**2 - 25*u**2 - 2*u**4 - u - 32*u**2 + 94*u**2 + 0*u**4 to z*u**4 + t*u**2 + q + i*u**3 + y*u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 945 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.09, 5, -740, -3.2, 0.4.\nAnswer: -740, -3.2, -0.09, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29458704 = -297*f - 231*f. What are the prime factors of f?\nAnswer: 55793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*c - 640 + 640)*(-5 + 2 + 2)*(-3 + 0 + 2) - 2*c + 4*c - 4*c + (-2 + 0 + 3)*(c - 5*c + c).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -3282?\nAnswer: -3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + (-3)\/(-4 + 1). Let g = n - -18. Suppose g = -3*h + 29. Solve 0*s - 10 = -5*j + 3*s, j + s + h = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*d + 511*d - 139*d - 19 - 141*d.\nAnswer: -2*d - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c - 9. Let h(w) = 3*w - 4. Let t(d) = 13*h(d) - 6*l(d). Let y be t(-2). Is 3 + 44 - (y + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -106872, -213723, -320574, -427425, -534276, -641127?\n\"Answer: -106851*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -4*n + y + 14, -y + 14 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/12 + (-1)\/4. Let u(g) = -g**3 + 5*g**2 + 2*g + 6. What is the lowest common multiple of 6 and u(h)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -499307698.3304 - 7\nAnswer: -499307705.3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 16 - 34 = -22*r, 4*x = -5*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2595 = 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*c - 10, 4*o - 3*c + 2 = -5. Let w be (o\/(-2))\/(1\/6). Suppose w*n + 20 = 5*n. Solve n = 3*l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931*f**2 + 41584*f - 626*f**2 - 41584*f.\nAnswer: -1557*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 2.19985. What is a rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*c - 764, -4*c + c - 939 = -5*m. What is the greatest common divisor of 27 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 3*o**2 + 2*o**2)*(5*o**3 - 3*o**3 + 0*o**3) - o**4 + 6*o**5 - 20*o + 20*o + 2*o**2.\nAnswer: 4*o**5 - o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36969359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 31990.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11156 + 11175. Solve l*b = 21*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -54*k**3 - 4*k**2 + 10*k + 7. Suppose 0 = 4*d - 4*o + 8, -2*d = -0*o - 5*o - 8. Is x(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -5c?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30142 > 30141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4\/3)*-1 + 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3216791 + -7665991. Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-5)\/20*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d*l**3 - 1108731*d*l - 60605405*l**3 - 40*l**2 wrt l.\nAnswer: -18*d - 363632430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - -12) + -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i - 12. Let u be o(-7). Let p be (108\/u)\/3 - 1. Let w = 846 - 841. Which is the second smallest value? (a) 0.5 (b) p (c) w (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88722461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2291*p - 1764*p + 2411*p + 611*p.\nAnswer: 3549*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3481.3613 and -5.\nAnswer: -17406.8065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 14) to base 9.\nAnswer: -563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 419 or 4602\/11?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-245)\/952 + 6\/16)*(-47)\/(-1)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.1, 224?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 3, p: 1}. What is prob of picking 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*w**2 - 2340*w - 25482?\nAnswer: 8*w - 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12272841121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32993 is divided by 282.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 13. Calculate u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (451*v**2 - 4285 + 4285)*(3*v**2 + 2*v**2 - 3*v**2).\nAnswer: 902*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 7. Let v = 16 - y. Find the third derivative of -2*a**2 + 4 + 8*a**3 - 3*a**v - 4 wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4853, -11267, -17693, -24137, -30605, -37103?\nAnswer: -43637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 231*f**2 - 310*f**2 + 81*f**2. Let m(a) = -23*a - 5. Let u(y) = -70*y - 14. Let r(h) = 17*m(h) - 6*u(h). Determine r(s(c)).\nAnswer: 58*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3638836 is divided by 2369.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, j: 1, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3170\/(-15850))\/(27\/(-5)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74669, 149341, 224011, 298679, 373345, 448009, 522671?\nAnswer: 597331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*v = 301*v + 1932. Solve -v*o - 3 = -46*o - g, -3*g + 9 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/8487 - -288565\/59409. Suppose -h*k**3 + 0 + 8\/7*k - 6\/7*k**4 + 24\/7*k**2 + 8\/7*k**5 = 0. Calculate k.\nAnswer: -2, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7904?\nAnswer: 5\/7904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (67 - (-3 + 23))) + 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -r + 22. Let q be (r\/(-8))\/(1\/(-2)). Suppose -m + 8 = -q. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 57. List the prime factors of (1*3)\/(j\/(-6705)).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 944 + 454. Let c = m + 436. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -143. Let t be (-336)\/l + 10 - (-16)\/10. Solve 4*s + 5*p - 3 = 0, -5*p - 3 = t*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 - 44*y**2 + 29*y - 15. Let t = 240 + -259. Is v(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 + -1 - -26 - 371*(-4)\/186?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 83?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3600025?\nAnswer: 5, 11, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*f - 673 + 341 + 335 + f**2.\nAnswer: f**2 - 108*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let o = -5\/5977 + 28384798\/29885. Let u = -950 + o. Which is the third biggest value? (a) y (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**4\/4 + v**3 - v**2\/2 - 3*v - 28. Determine r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 37. Let z = u + 33. Sort 4, z, -5 in ascending order.\nAnswer: -5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u. Let a(x) be the second derivative of 5*x**3\/2 - 2*x + 312. Give 5*a(n) - 6*z(n).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 116 = -n + 582, -2*n = 2*y - 916. Suppose -7*k + 4*k = -n. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 12*j**2 + 3*j - 42. Suppose 3*f - 39 = 40*t - 45*t, 5*t - 74 = 2*f. What is n(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 0*b - 24 + 2*b - b + 4 - 4 + (2*b + 1 - 1)*(17 - 2 + 0).\nAnswer: 31*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let j be t(-6). Suppose 3 = 4*x + 4*a - 1, -4*x - j*a = -5. Let v be (-9 - -7) + 2 + 6\/(-15). Is x not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*y + 8*b - 6 = 120*y - 245*y, 0 = -3*y - 3*b + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1236*v - 7412. Determine f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -7, 2.52455 in descending order.\nAnswer: 2.52455, 1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16))**(-42)\/(t**5\/t**(-20)) assuming t is positive.\nAnswer: t**647","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135 less than 3389.58?\nAnswer: 3389.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 3*x**2 + 2*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 - 11*z + 121. Let c be s(-7). Factor 8\/17 - 8\/17*v + 2\/17*v**c.\nAnswer: 2*(v - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:26 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/6 - 13*n**2\/2 + 22*n. Calculate x(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 1400 = 0. Suppose -x + 10096 = -l. Let v = l - -5096. What is v rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1623)\/12)\/(12\/16 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 10*j**2\/9 + 112*j\/3 - 136.\nAnswer: -2*(j - 6)**2*(j + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let m(i) = c*i - 4*i - 3*i. Let v(x) = -14*x + 34*x - 19*x. What is v(m(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:16 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 7*i**2 - 8*i + 4. Let f be u(6). Let y = f - -13. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 7*z + 8. Let c(y) = -7*y**3 + y. Let q = -8 + 9. Let n be c(q). Give d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 divided by -361?\nAnswer: -4828\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6958401 is divided by 160.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29511 + 44471. Is a a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 45, 116, 217?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4817375 by 963475.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40.2 in -5, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2214, 4333, 6410, 8445?\nAnswer: 10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 11*k**2 + k - 3*k**2 in the form h + i*k + l*k**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3be (base 16) to base 13\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 140 = -2*v. Let l = -48 - v. Let r = l - 19. Solve -5*s - r*h + 12 = 0, -2 - 10 = 2*s - 3*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 3\/2*a**2 + 3\/2.\nAnswer: -3*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726 = 30*l + 36*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6 + 2)*4. Let q be (-5)\/(-2) - 2\/(-4). Let k be 36\/(6\/q) - n. Calculate the highest common divisor of k and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660222 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((2 + 1 + sqrt(153))*-6 + 2)*3 + -4).\nAnswer: 156 + 162*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.594 and -5.\nAnswer: -32.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*m**2 + 17*m**2 + 25*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let y = 400 - 5998\/15. Which is the smallest value? (a) d (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*c**5 + 89352*c**3 - c**2 + 9*c - 534483 wrt c.\nAnswer: -3940*c**3 + 536112*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3800) + 4*-1*sqrt(3800)))\/(((sqrt(400) - sqrt(16))\/sqrt(8) - sqrt(2))*-1*-4).\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2948, -5897, -8846, -11795, -14744, -17693?\nAnswer: -20642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.6 + 8. Let d = -0.1 - v. Let f = 0.6 - d. Is 0.4 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.399 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 5, 6\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 3. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.2 and 586.\nAnswer: 580.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/10, -2.873, 935?\nAnswer: -2.873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2631028851?\nAnswer: 3, 11, 17, 181, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a**2 - 2*a + (-3*a - 3*a + 4*a)*(4*a + 2*a - 5*a))*(21*a**2 + 14*a**2 - 3*a**2) + (3*a**2 - a**2 + 0*a**2)*(-a**2 + 0 + 0).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20 (b) -8\/2429 (c) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51a64 (base 11) to base 4.\nAnswer: -102200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1, 3115, -9?\nAnswer: 3115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 7572 = -7852 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -46811\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -123.\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let s = c - 7. Let b = -6.0000016 - s. Round b to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-259\nAnswer: -36.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 17*b**2 + 337*b + 5. Let c(k) = -5*k**2 - 113*k - 1. Determine -7*c(v) - 2*z(v).\nAnswer: v**2 + 117*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -246a (base 15) in base 12?\nAnswer: -459a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1101001000110111?\nAnswer: -1101001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 0.3. Let q be (0\/(1 + 0\/15))\/(-3 + 1). What is the fourth smallest value in 3\/2, i, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + r**2 - r + 2. Let b be l(-2). Let m(v) = -2*v + 4 + 0*v + v**2 + v. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(220\/(-34)). Let x = -1\/55 + j. Let r = -51 + 253\/5. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**3 - 21*z**2 - 6*z - 18. Let i(x) = 23*x**3 + 64*x**2 + 19*x + 57. Give -6*i(k) - 19*j(k).\nAnswer: -5*k**3 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**7\/1050 + h**6\/90 - 2*h**3 - 5. Let b(d) be the third derivative of i(d). Solve b(c) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 564\/(-24))\/(6\/236).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3597272 is divided by 218.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2337668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 8*c**2 - 3*c - 12. What is t(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 216*x**3 + 6*x - 22*x + 6*x.\nAnswer: 216*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h + 3. Let p = -211 + 222. Let l(m) = -2*m - 1. What is p*l(z) + 4*n(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 3*q + 108, v - 162 = 5*q. Let l = q - -12. Let o = 31 + l. Solve 2*w = 6*w + a - o, 0 = 3*w - 3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) - 5*(1*sqrt(525) + sqrt(525) + sqrt(525)))\/(-2*sqrt(1008) + (sqrt(175) - (sqrt(175) + sqrt(175) + -2*sqrt(175) + sqrt(175)) - sqrt(7))).\nAnswer: 14*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.132 * 0.069\nAnswer: -0.009108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 3*n**2 - 4*n. Let c(b) = -11*b**3 - 7*b**2 - 9*b. Let g be -3*14\/(-12)*-2. Calculate g*p(z) + 3*c(z).\nAnswer: 2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -3. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4086 and 384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186, 189, 192?\n\"Answer: 3*p + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**4 + 5*t**3 - 5*t**2 - 20*t - 5. Let f(m) = 4*m**3 - 4*m**2 - 19*m - 4. Let q(y) = 5*f(y) - 4*l(y). What is the second derivative of q(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/188191 and -25\/18.\nAnswer: 3387438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -2\/9 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 - 135. Suppose r + 2*o - 37 = 0, -3*r - 5*o + f = -30. What is the least common multiple of r and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 5\/3*k**3 + 0*k + 0*k**2 - 8. Let y(f) = -1. Let o(m) = 2*m + 10. Let i(q) = -o(q) - 10*y(q). Determine v(i(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -88\/7. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 12 + -14 + -21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0147 or 4244?\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 13 - 9) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.5. Let y = 0.3 + a. Let r = -0.1064 - -0.0064. What is the nearest to -1 in y, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**2 - 9525 + 9525.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -918*l**3 + 5*l**2 - 12*l - 18. Let n be w(-17). Suppose -5708235 = -2*v + n. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let r(a) = -a**2 + 7*a + 2. Let v(s) = -s**3 - 3*s**2 + 3*s + 3. Let p be v(-4). Let g be r(p). Solve d = g*n - n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2717.179 times -66\nAnswer: -179333.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -16*y - 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 206713 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22666002 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*p = -29, -61*s + 105 = -43*s - 5*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, s: 4, b: 4}. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5191011, 0.24, 0.5 in increasing order.\nAnswer: -0.5191011, 0.24, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaaooaaohaaaaal. What is prob of sequence hla?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-312)\/(-182))\/(1\/(-14)*-4). Solve j + z = 3, 4*j - 2*z + w = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 h when three letters picked without replacement from {a: 1, e: 1, h: 1, v: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t + 5*k, -5*t - 3*k = -0*k - 2. Let z(v) = 2*v + 2. Let h be z(1). Suppose -15 = -h*x - 3. Which is the third biggest value? (a) 4 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2893*m - 217*m - 126*m + 525*m.\nAnswer: 3075*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*g = 9, h - 12*g = -17*g - 18. Is 24 a factor of 136\/h*80\/192*-27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -243*k**3 + k**2 + k - 185. Let d(s) = s**3 - s**2 - s + 2. Let b(l) = d(l) + t(l). Differentiate b(f) with respect to f.\nAnswer: -726*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*x**3 + 23*x**3 - 83*x**3)*(x + 2*x**2 - 2 + 4 - 1).\nAnswer: -48*x**5 - 24*x**4 - 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 at least as big as 213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2077 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-20)*8*4\/204?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 16, 2*g + 5*q = -0*g + 206. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + 1*sqrt(720) - -5*1*sqrt(720))**2 + 5 + (4*(sqrt(720) + -1) - sqrt(720))**2)*6.\nAnswer: -972900 + 21600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((4*(sqrt(180)*-1 + sqrt(180) - sqrt(180)) + (sqrt(180)*2 - sqrt(180))*6)\/(2*(sqrt(10) + (sqrt(70)*2 - sqrt(70))\/sqrt(7))))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8*7\/(-4620)*-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 311.70429045 + -0.70638045. Let i = -311 + u. Round i to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 955 and 529432900.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*w + 14 = 0, 31 = -5*k + w - 15. Let a be (-3)\/k*(10 + -4). Find the third derivative of 52*i**a + 49*i**2 - 117*i**2 + 14*i**3 wrt i.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 5*n**3 + n**3 + (-2*n**2 + 2 - 2)*(-n - 5*n + 4*n) - 3*n**3 + 4*n**3 + n**3 - 2777666*n**2 - 1591*n**3 + 2777666*n**2 + 6*n**3 - 4*n**3 + n**3.\nAnswer: -1583*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 1.49. Let f = 0.91 + p. Let k = -0.7 + f. Which is bigger: k or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 18357192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/52 (b) 7 (c) 5 (d) -247 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 28*n = -42. Let m be 2 + 7 + -5 + 20\/n. Let w = 1 - 0.7. Sort -3, w, m in descending order.\nAnswer: m, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*p - 332, 440 + 242 = 4*p + 5*n. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47.16 - 46. Round t to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 431594003 and 0.1?\nAnswer: 431594002.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-3\/8))\/s)**(-45) assuming s is positive.\nAnswer: s**(-495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {g: 2, k: 3, j: 1, e: 1, b: 1, t: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*0.00654396.\nAnswer: -0.17668692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**4\/12 + 7*b**2. Let w(r) = -4*r**2. What is s(w(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7925937529?\nAnswer: 101, 78474629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + 2*y)*(-3*y + 10*y + 0*y).\nAnswer: 14*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose o = -0*u + 3*u - 6. Which is the nearest to 1? (a) u (b) 0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = -28*v + 23*v. Let m = v - -69. Suppose 5*s - 35 = -0*s. What is the remainder when m is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/765 + (-350)\/7875\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3 = 2*x - 1, -2*r - 4*x = -26. Suppose -2*b + 13792 = k - r*k, 27592 = 4*b - 2*k. What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + -2 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241535653 + 53?\nAnswer: 241536036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94409867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbccccccccbbcbcccc. What is prob of picking 2 b?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -12. Let m(l) = -l**3 - l**2 - l + 4. Let f be m(z). Solve 5*k + 8 = q, 5*q - q = f*k + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 8*k - 11. Let j be m(-5). Let u be -138*((-10)\/(-60))\/(1\/j). Let a = u - -95. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-136978.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**2 + 105*l + 25.\nAnswer: 5*(l + 5)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - u + 7. Let q(z) = -z**2 - z + 1. Let r(t) = -d(t) - 3*q(t). Let g be r(11). What is g rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - r**2 - 8*r**3 + 26*r**3 - 49*r + 2*r**3 - 7*r**3 as i*r + h*r**2 + l*r**3 + t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15\/45)\/((87975\/(-702))\/25 - -5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 851*p + 80226. Determine n(-282).\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.48628 + 304279.\nAnswer: 304297.48628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42255025 and 8451005.\nAnswer: 42255025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gatatagtataa. What is prob of sequence ag?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*o**2 - 349 + 349.\nAnswer: -534*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(150)\/sqrt(48))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 4*d**2 - 3*d. Suppose h - 9 = -j, 2*j = 2*h + 7*j - 12. Suppose 2*m - 2*x - h = -3*x, 25 = 5*x. Give n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92441289 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (243\/6)\/((-3)\/(-6)). Let x = v - 66. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2334 + -904. Let h be (d\/238 - 6)\/4. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a**3 + 12*a**3 - 3*a**3 + 3*a**3 - 4*a**3 - a**3 + (-4 + 2*a**2 + 4)*(0*a + a - 3*a) - 3*a**3 + 2*a**3 + 2*a**3 - 3*a**2 + 65*a**3 + a**2 + 0*a**3.\nAnswer: 59*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, e: 2, n: 4, h: 1}. Give prob of sequence nhee.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.13 (c) 1 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r**2 + 6*r + 4. Let f(h) = h**2 - h - 1. Determine -d(t) - 4*f(t).\nAnswer: 7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/28*544\/(-24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1.24 in decreasing order.\nAnswer: 5, 4, 1.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 214, 459, 792, 1207, 1698, 2259, 2884?\nAnswer: 3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31637\/204015 + -58\/335. Find the common denominator of x and 35\/33.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1315061, 3, -4 in decreasing order.\nAnswer: 3, -4, -1315061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172173.\nAnswer: 167, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340 is divided by 1119?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u + 7*u**2 + 88*u + 2 - 153*u to the form c + g*u + l*u**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461*j - 2419 = 460*j. What is the remainder when j is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1170958, -1170864, -1170772, -1170682, -1170594, -1170508, -1170424?\n\"Answer: -x**2 + 97*x - 1171054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4861\/858 - -1\/858. Suppose k*t - 2\/3 + t**3 - 41\/3*t**2 + 21*t**4 = 0. Calculate t.\nAnswer: -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*w - 6 - 12 = 0, 3*b = 5*w + 42. Let u(a) = a**3 - 8*a**2 - 7*a - 9. What are the prime factors of u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*m - 9033 = 0, 5085 = 4*h - 4*m - 6959. Let g = h + -1602. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/60 - t**4\/8 + 5*t**2\/2 - t. Let h(x) be the first derivative of y(x). What is the second derivative of h(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10056 and 21?\nAnswer: 70392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = -5*n, o = -2*n - n - 3. Suppose 0*z + 3 = 3*z, n = y - z - 28. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((462\/12)\/(-7))\/(288\/64*(-4)\/3).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0 + 0)*(2*d**3 + 0*d + 0*d) - 222 + 18*d**4 + 222 - 9*d**2 + 9*d**2 + 36*d**4.\nAnswer: 58*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2\/6 - 69939839*o\/3 - 4891581079345921\/6 = 0.\nAnswer: -69939839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 5183?\nAnswer: -5178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**3 + 39385*p**2 - 77814280*p + 1004940560 = 0.\nAnswer: 13, 3932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17449611994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8743567\/115 + 304125\/4. Let b = u + 2\/115. Suppose 2 = n, -3*o + 4*n = 5 - 0. Are o and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382.02 - 382. What is the smallest value in p, -8, 5, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -1\/25, 5\/3, 0.5.\nAnswer: -1.1, -1\/25, 0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098000 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 113292869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 68 + 1149 = 0 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414169 is divided by 58894.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512873232 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12311030221 (base 4) to base 15\nAnswer: 2558e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12323300313 + -4?\nAnswer: -12323300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*p + 135*p = 12. Let c(t) = -t**2 + 9*t + 54. Calculate the remainder when 53 is divided by c(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 17 - 12)*(2*o - o - 2*o)*(-24 + 24 + 5*o).\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxrqxdj. What is prob of picking 1 r and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 2219964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4863361?\nAnswer: -5\/4863361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*l + 0*l = -24, 0 = 3*p + 3*l + 18. Let w(x) = -3*x - 2. Let d be w(p). Calculate the least common multiple of 84\/15 - (-4)\/d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122100121120 - -122?\nAnswer: -122100120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/11, 0.39, -2626.\nAnswer: -2626, -1, -2\/11, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(175) + 0 - sqrt(175))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157023 is divided by 1525?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 19*a = -4. Suppose -19 = a*z - 119. What is the highest common divisor of 15 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 427\/6 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**3\/3 + 17*o. Let u(x) = 7*x. What is z(u(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12341.3414 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646882 is divided by 235235?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -5.\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-810))\/((-5)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhnnnt. What is prob of sequence nh?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 18. Let d = -3.92 - 0.08. Let i = d - z. Which is the nearest to 0? (a) 0.3 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 796\/741 - 183\/247. Let y - 13\/6*h - 1\/3*h**2 + 13\/6*h**3 = 0. What is h?\nAnswer: -1, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255 - -566. Let q = 0.10258 + 309.28742. Let g = q - r. Round g to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -12, -5, 0.16, 16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 2*i**4 + 0*i**4 - 6*i**4 + 4*i**4 + 13*i**4 + (i**4 + 2*i**4 - i**4)*(4 + 2 - 5).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 + 3 + (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 - -0.4. Let r = -4 + d. Let o = 0.3 + -0.4. Which is the closest to o? (a) r (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728423 - 5524.001.\nAnswer: -1733947.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 1. Let n be d(1). What is the second derivative of 2*g + g**n - 4*g + 3*g**2 + 0*g**2 wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 128. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1412, -11, -16 in descending order.\nAnswer: 1412, -1, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/2 - 1)\/(5454709\/(-126854) - -43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 6. Let l(c) = -188*c - 144. Let w(b) = 24*j(b) + l(b). Let q(y) = -y. What is w(q(x))?\nAnswer: 164*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3941040 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4385, -2\/357, 5?\nAnswer: -4385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h)*(1 + 5 + 1).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-299)\/(-3) - (-4)\/(-6). Let x = 15 + -24. Let z(a) = a**2 + 8*a. Let p be z(x). Calculate the highest common factor of u and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.30827058.\nAnswer: -3.69172942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r + 477 = 67 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -70, -106, -144, -184, -226, -270?\n\"Answer: -w**2 - 31*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1616*k - 655 - 1616*k + 488*k**2 with respect to k.\nAnswer: 976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkzvh. Give prob of sequence rz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - v - 3*v + 7*v + 4*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = x + 16, -3*x = o + 4. Suppose -7*a - 49 = -0*a. Let w = o - a. Solve -w*c - 2*c + 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3477)\/5856)\/((-13)\/28) - (-2)\/(-13)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o + 2*o + 2*o. Let h(k) = -k. Determine m(h(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -935 (base 12) to base 7.\nAnswer: -3620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 30*y - 2053 = -1933 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((0\/(-21))\/((-4)\/(-2)))\/2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1350 and 54?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*((-1792)\/28)\/(-32)*(-177)\/(-18)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*u + 4839 = 0, 3*u + 5167 - 334 = 3*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412709 is divided by 17196.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.35 - 12.35. What is the third smallest value in l, 20, 0.3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 3. Let o = -104 + 114. Suppose -4*b = 2*k + 22, 4*b + 12*k = 14*k - o. Determine c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16558183 a multiple of 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/20 + 11*o**4\/12 + 13*o**3\/6 - 9*o**2\/2 - 25*o. Let l be x(12). Solve -3*q - 12 = 3*s, l*s + 3*q = s - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -15, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -0.08583116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1647 + 580 + 552 + 571 - w**2 + 3*w**2.\nAnswer: 2*w**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424183 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 43. Let v = 82 + n. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443424 divided by 3\nAnswer: -147808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 366466, 366499, 366532, 366565, 366598?\n\"Answer: 33*w + 366433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. What is the remainder when 12 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Let k be (y - (-41)\/(-2))*-2. Let u(w) = k - 5*w - 41. Let m(v) = -2*v**2. What is m(u(h))?\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11076 take away 273?\nAnswer: -11349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbwp when four letters picked without replacement from {w: 1, b: 2, s: 3, p: 1, z: 3, k: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8274648 divided by 1734.\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.98 - -2.594. What is w rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1352.844 to 0 dps.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*z = -1440, 5*z + 680 = 4*l - 760. Suppose -l = 3*o - 4*o + 5*x, -4*o + 2*x = -1458. Let i = o - 6937\/19. Is i >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10237 (b) 3 (c) -674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1140 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 34. Let t be 1\/(-4) + 450\/o. Let m(s) = -s**3 - 5*s**2 + s - 7. Let d be m(-7). What is the highest common factor of d and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-14230)\/30 - 14)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 463, 524, 627, 772, 959, 1188, 1459?\n\"Answer: 21*u**2 - 2*u + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -30488448.\nAnswer: 121953792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17847 - 163151 - 92090 = 3924*o + 72602 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 203418?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 20 - 15. Suppose 5*j = 4*w - 29, -5*w + 5 - 15 = 3*j. Which is the second biggest value? (a) w (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 160\/(-28) + (-2)\/7. Let n = -4 - q. Let y(c) = c. What is y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rihrrrhrrirriiiriirr. Give prob of picking 2 i.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 2*q - 1. Let x(m) be the third derivative of 3*m**6\/40 + m**5\/15 - m**4\/6 - 4*m**2. Let w(s) = 5*d(s) + x(s). What is w(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4150921 + 0?\nAnswer: -4150921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 1. What is the remainder when 47 is divided by b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143 - 3432 + 1151 + 1138 - 92*j.\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 2027660?\nAnswer: 2027654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 88758413 to the nearest 100000.\nAnswer: 88800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 29*d + 52. Give b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m - 33. Let a(k) = 3*k**3 - 7*k**2 - 5*k + 6. Let b(y) = 4*y**3 - 7*y**2 - 5*y + 6. Let f(n) = -5*a(n) + 4*b(n). Does 11 divide f(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 + 32*n - 258817\/3 = 0. What is n?\nAnswer: -559, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 28 - 46. Put 9, z, -1, -5 in ascending order.\nAnswer: -5, z, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 + (-469)\/(-804)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -321*z + 312*z. Which is bigger: -527 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15260647800 rounded to the nearest one million?\nAnswer: -15261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 92*i - 45*i + 11*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1730 + -1728. Let i(k) be the second derivative of 2*k**o - 4*k - 1\/3*k**3 + 0 - 1\/6*k**4. Factor i(z).\nAnswer: -2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 0*(-5)\/(-10). Let s(j) = -j + 11. Let k be s(x). Calculate the highest common divisor of 126 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10, -2*t + 150 = 3*g - g. Suppose -111*d = -104*d + 350. Let k = g + d. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*a + 4*s, 0 = -3*a - 3*s + 563 - 212. Calculate the smallest common multiple of a and 296.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(208) - 2*sqrt(208)))\/sqrt(4))\/((-5*sqrt(1008))\/sqrt(7)) + -3)**2.\nAnswer: 2*sqrt(13)\/5 + 2038\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681982.\nAnswer: 2, 401, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010 + 10?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 1\/4, 0, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15777, 20386, 24995, 29604, 34213, 38822?\nAnswer: 43431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14*a**2 + 2*a + 8. Let q(s) = 10*s + 111. Let c(b) = 9*b + 111. Let n(y) = 3*c(y) - 2*q(y). Let o be n(-17). Let v(u) = u**2 + 1. Give o*v(h) + x(h).\nAnswer: 6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 - -411032\/777. Let i = 710\/52059 - u. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:41 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m - 17*m + 19*m + 9*m + 3*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 601920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 2, h: 7}. Give prob of sequence pzh.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z - 8. What is f(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 198 + 441 - 204 = 4*c, c = 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 117? (a) 0.1 (b) 1\/6 (c) -613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - (0 - -2) - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/780 and -133\/702.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/420 + 2*b**5\/15 + 5*b**4\/3 + 176*b**3\/21 + b**2 + 129. Determine a, given that z(a) = 0.\nAnswer: -22, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 2*t - 326. Suppose 0*l - 2*m = -8*l + 318, 0 = -l - m + 36. What is the highest common divisor of t and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 16) to base 7\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 - 8*v - 6. Let c be k(-5). Solve -u - 7 = -3*w - 3, -c = -4*w + 5*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19804627 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, 0.06, 0.2.\nAnswer: 0.06, 0.2, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 - -229.7. What is f rounded to zero decimal places?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/36 + 20\/(-27)*-105?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 and (-32)\/14440*-15*25\/15?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577661236 + 1\nAnswer: -577661235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27061 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 23*c**2 + 8*c + 34. Let l be a(23). Suppose 3*w - l = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -0*p - 11. Sort 53, 5, p in decreasing order.\nAnswer: 53, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 0*x + 2*x. Let s(z) = -2*z - 2. Let b(q) = q + 1. Let y(m) = -13*b(m) - 6*s(m). Let p(t) = 2*t + 1. Let d(v) = -p(v) - y(v). Give n(d(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(243)*-3*4)**2*3 + (-1 + 2 + sqrt(243) + -3 + sqrt(243))**2.\nAnswer: -72*sqrt(3) + 105961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -15. Let u = 31.7 + -33.49. Let v = -1.8 - u. Sort -0.5, v, q in descending order.\nAnswer: v, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.03, -0.2, -849, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*x - 2 = 0, -x = 7*w - 2*w + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -807 + 876. Calculate the remainder when 145 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + 2 - 2)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a9 (base 11) to base 2.\nAnswer: 100000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 9*o + 84.\nAnswer: -3*(o - 4)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*z + 28*z - 112. Let o(q) = z*q + 4*q**2 - 47*q + 19*q. Let k(y) = 26*y + 2. Determine k(o(n)).\nAnswer: 104*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*m + 44*m = -11024. Calculate the remainder when 76 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*o. Suppose 4*d = -4*x + 136, -d - 9 - 59 = -o*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 301?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1483722457 rounded to 4 dps?\nAnswer: -0.1484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) - -2*sqrt(228)) + sqrt(228)*-3*-2)\/(4*sqrt(48) + sqrt(12) + (sqrt(12) + (2*(1*sqrt(12) - sqrt(12)) - sqrt(12)) - sqrt(12))).\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 41*v**3 - 2*v**2 + 0*v - 43*v**3. Let t(j) = 2*j**3 + 2*j**2 + 3*j. Determine 7*t(q) + 6*w(q).\nAnswer: 2*q**3 + 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 6, c: 1, p: 1, z: 3}. What is prob of sequence kzs?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -4*w - 9. Let o be 32\/(-24)*(-57)\/2. Let m = 46 - o. What is the remainder when w is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162 - 2257?\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1 + sqrt(3))**2*4 + 3.\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7416, 7401, 7386, 7371, 7356, 7341?\nAnswer: 7326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfxxxxxxxxxxxxxxf. What is prob of sequence fx?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -82*o + 20. Give k(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1\/9 (b) 169 (c) 2\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475) + (sqrt(19) - (-1 + sqrt(19))*2) - ((sqrt(190) + -1*sqrt(190) + sqrt(190))*-6)\/(sqrt(10) + -5*sqrt(160)))**2.\nAnswer: -2000*sqrt(19)\/19 + 250076\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 9 - 6 - 10. Let o(i) be the second derivative of -i**3\/6 - 5*i**2\/2 - 19*i. Let b(g) = 11*o(g) - 2*z(g). What is b(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1*-34 - 2. Suppose -3*l + f = -2*l. Suppose 5*m = g + l + 43, 4*g = -m + 15. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42346504 (base 7) to base 5\nAnswer: -1404414202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 3*i**4\/4 - 2*i**2. Let z(b) be the third derivative of 0*b**4 - 1\/60*b**5 + 0 - b**2 + 0*b**3 + 34*b. Give z(g(s)).\nAnswer: -324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30098969933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.87 - -0.13. Are f and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 2, 2976, -4 in increasing order.\nAnswer: -13, -4, -2, 2, 2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {v: 8, o: 1, p: 1, x: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z = 83*z. Solve 52 = -13*w - z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5, -14 = 3*g + 2*r - 189. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 + 17*m**2 + 83 - 5.\nAnswer: m**2 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -62 and -14915498571369.\nAnswer: -14915498571431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84972967?\nAnswer: 8419, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23593000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24766, 49528, 74300, 99082?\nAnswer: 123874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (44 - 43) - (-2 + (-2 - -6) - 68)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**8\/560 + 3*w**5\/40 + w**4\/3 + 8*w**2. Let m(r) be the second derivative of s(r). Differentiate m(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 17*g - 18. Give x(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1987 = -240*p - 1345 - 988 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8790 rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + -57. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/26592283 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-278)\/4*(-11)\/(-22). Let x be (-4)\/6 + 987\/(-18). Let v = f - x. Find the common denominator of -95\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1.72, -0.4, 0.5, -3, 2\/81?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 4*d. Let s(r) = r**3 - 3*r. Let z(x) = 3*c(x) + 4*s(x). Let f(n) be the first derivative of 15*n**4\/4 - 10. Determine -f(w) + 12*z(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 - 5*o**2 - o - 2. Let i(c) = 2*c**3 + 4*c**2 + 2*c + 2. Determine -4*b(s) - 5*i(s).\nAnswer: -2*s**3 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1590.2 + -1590. Let u = -6 - -5.7. What is the nearest to u in x, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:35 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2*w + 13*w**2 + w - 2*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 116.352882ns?\nAnswer: 0.000000000001346676875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1470, 11717, 39534, 93705, 183014?\nAnswer: 316245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 57. Solve -11 = a + 3*t - 3, r*t + 20 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810\/24*1912\/(-1434).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/885, 5, -2\/7, -0.14, -0.4, -15\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 + 8*n. Let g(l) = -12*l**2 - 10*l - 5. Let f(z) = -5*z**2 - 4*z - 2. Let d(o) = 10*f(o) - 4*g(o). Calculate u(d(y)).\nAnswer: -16*y**4 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 18*k + 5. Let n(d) = 7*d**2 - 19*d + 6. Calculate 5*a(h) - 4*n(h).\nAnswer: -3*h**2 - 14*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.8 + 48.69. Put 3, 0, d, -4 in descending order.\nAnswer: 3, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -382?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0*q**3 - 1\/2*q**2 + 0 - 1\/4*q**5 + 1\/12*q**4 + 7*q. What is f(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72918.09510282 take away 2?\nAnswer: 72916.09510282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -107, 3 in ascending order.\nAnswer: -107, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 18231*k - 39 - 22 + 15927*k + 61 as f*k + y and give f.\nAnswer: 34158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 15*u + 29. Let a(r) = 4*r**2 + 22*r + 44. Let n(t) = 5*a(t) - 7*q(t). Let d be n(7). Put d, 6, 4 in descending order.\nAnswer: 6, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3 = -5*s, -183*a + 178*a - 3*s = 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3780454.\nAnswer: 2, 1890227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1274*g**2 - 16*g + 8. Let w(b) = 1270*b**2 - 12*b + 6. Give 3*n(s) - 4*w(s).\nAnswer: -1258*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(12*(-42)\/(-16))\/(15\/(-40)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17782 and 786?\nAnswer: 6988326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2920311, -2920315, -2920317, -2920317?\nAnswer: -2920315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2 + 889*n - 27570 = 0. What is n?\nAnswer: -919, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 2:02 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/171*6\/(-8)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45) - -1*sqrt(30)\/sqrt(6))*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:46 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 506025873 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5830 + -5844. What is the second smallest value in 0, x, 0.4, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, j: 1}. What is prob of picking 4 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2425 by -97.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:24 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1508 and 67\/12.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 78, 503, 1470, 3195, 5894, 9783, 15078?\nAnswer: 21995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/4 + 15*j**4 + 1266*j**3 - 64599*j**2\/2 + 113739*j\/4 + 123969\/2 = 0 for j.\nAnswer: -43, -1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 5. Let c be d(-4). Suppose 5*q = -5*m + 166 + 34, 2*m - 81 = -c*q. What is the highest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(136*o - 4*o**2 - 3 - 260*o + 127*o) as q*o**2 + y*o + p and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 61 = 314. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**22\/t)**(-28)\/(t**(-12)\/(t**(-18\/5)\/t*t)) assuming t is positive.\nAnswer: t**(-2898\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, -5, -1 in descending order.\nAnswer: 34, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(133) + sqrt(133))*-6)\/(sqrt(28)*-1))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 9077427023806.\nAnswer: 9077427023809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from pupppnpnvpnvppppnpbn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48 - (0 + 3))*-1. Suppose -2*u = -u - m. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {y: 1, k: 1, c: 1, g: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19182273613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11048270, -22096544, -33144816, -44193086?\nAnswer: -55241354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**3 - 7*o**2 + 15\/2*o + 0.\nAnswer: -o*(o - 1)*(o + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + 3 - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 57625, -21, 42 in increasing order.\nAnswer: -21, 42, 57625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01806 rounded to 4 dps?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 637*n + 3 + 9940*n - 2087*n - 3 in the form k + x*n and give x.\nAnswer: 8490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133652 plus 0.11811106?\nAnswer: 133652.11811106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-100)*(-1 - 0). Solve w = 4*z - 9 + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64782331 divided by 1\nAnswer: 64782331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 51*b = -8*b + 72 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 53844201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/2*j + 0 - 9*j**2 + 3\/2*j**3 = 0 for j.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4977200562?\nAnswer: 2, 3, 97, 8551891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5217 is divided by 1732?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19114*g**5*n**3 - 2*g**5 + 3*g*n**3 - 6*g*n**2 - 447*n**3 + 2*n wrt g?\nAnswer: -382280*g**3*n**3 - 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) + 6*1*sqrt(95) + sqrt(95))*-1)\/(sqrt(15)\/(sqrt(12)\/sqrt(4)) - (sqrt(5) - (sqrt(5) + sqrt(25)\/sqrt(5)))*-2).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 24\/10)*-5. Let x = 0 - u. Let l be ((-6)\/(-5))\/(x\/(-5)). Sort -4, 4, l in descending order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 413*g - 728. What is the units digit of j(99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41412414 (base 6) in base 16?\nAnswer: -124d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(5\/2))**(-5\/3)*l**(1\/5)\/(l\/(((l*l**(2\/9)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-757\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6448 and 128.\nAnswer: 51584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (1\/(-2) + (-45)\/18). Suppose 5*y - r = p*r + 106, 4*r = -3*y + 38. Calculate the lowest common multiple of 10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4529 or 4531?\nAnswer: 4531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-10) - (-12)\/(-30). Let z(m) = 5*m. Let l = 216 - 208. Let g(j) = 4*j - j - j + l*j. Determine k*g(a) + 7*z(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -86, -162, -262, -386, -534, -706?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*b + 87*b + 84. Let n = b - -31. Suppose -2740 = -n*q - 0*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85.7365 + 13.2636. Let w = -99 + a. What is w rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 225.087 and -0.1.\nAnswer: -22.5087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53283, -106571, -159861, -213153, -266447, -319743, -373041?\n\"Answer: -j**2 - 53285*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2574 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154406 and 35508?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 4*w + 3*w**2 - 4*w**2. Let q = 0 + 7. Suppose -3*f - 5 = q. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3 + 4 + 0). Suppose -3*b + n = -2. Suppose -b*s - 2070000 = s. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -206\/3*h + 2\/3*h**3 + 60 + 8*h**2 = 0.\nAnswer: -18, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203311313 - -1?\nAnswer: -203311312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6812.31 * 1\nAnswer: -6812.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -28*p + 2*b, 49*b = 5*p + 44*b - 40 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i, 4*r + 19*i = 14*i + 3206. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -12*q + 3*q - 30 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 103, 218, 375, 574, 815, 1098?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o - 1\/6*o**4 + 0 + 0*o**3 + 0*o**2. Let z(s) be the second derivative of s**3\/6 + s + 26. Determine k(z(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 728914538 to the power of 1\/2, to the nearest integer?\nAnswer: 26998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158104 is divided by 1726?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 452, 1012, 1796, 2804, 4036, 5492?\nAnswer: 7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 62606.94682 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3375 and 900?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5361? (a) 1 (b) 0 (c) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**3\/3 + g**2\/2 - 6*g + 545. Let h be -4*(3 - 2 - 0). Does 11 divide t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-297)\/12)*(96\/(-6) + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-14) + 17584\/98. Suppose -4*b - l - u = -0*l, 0 = -3*b - l - 134. Let v = 204 + b. List the prime factors of v.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, 8, 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/6 + -9)*(-1164)\/14. Which is smaller: 389 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-10) + 36\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 3*w - 4*w. Let t(s) = -s. Let o(b) = q(b) + 3*t(b). Let p(g) = -17*g**2. Calculate p(o(u)).\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -63*t - 2087. Calculate s(-33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3363 - -6260. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1 + 6*j**2 - j**2 - 3*j - 4*j**2. What are the prime factors of q(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50171, -50169, -50167, -50165, -50163, -50161?\n\"Answer: 2*j - 50173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184900 - 226180\/3*w - 1\/9*w**4 - 526\/9*w**3 - 71749\/9*w**2 = 0. What is w?\nAnswer: -258, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133136*p**2 - 174305*p.\nAnswer: 266272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 2035*l + 138525720.\nAnswer: -5*(l - 5064)*(l + 5471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 16*m - 21. Let x be (-6)\/(-9) + 2\/6. Let r(i) = -3*i**2 - x + 7 - 2 - 4*i**3 - 4*i + 5*i**3. What is r(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1170 + -680. Suppose 2*z = -16 - 4. Is 28 a factor of (12\/z)\/((-3)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0323074 millilitres?\nAnswer: 0.0000323074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*s - 11. Suppose 0 = 2*j - 2*z - 10, 30 = 3*j - 93*z + 95*z. Calculate the least common multiple of j and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*n = -28 - 29, -4*n - 4 = 0. Let m = -11 + a. Solve -3*k - 1 = -x, -5*x - k - m = -10*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7597440 times -2.7\nAnswer: 20513088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 + 0 = 0. Let c(i) = 6*i**2 - 12*i**q + 5*i**2. Let g(f) = 5*f**2 + 2*f. Give c(g(r)).\nAnswer: -25*r**4 - 20*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21 = -3*l, -5*u = 4*l - 2*u - 29. Suppose 0 = -3*q - l*w + 14, q - 5*q + 8 = 4*w. Let a be 3 + (-2 - (-2)\/q). Which is smaller: 0.05 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-6))\/(-2)*12\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*u = -38854 + 42407 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166706737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let j(l) = 3*l**k - 5*l**2 - 4*l - l. Let x(t) = 3*t**2 + 8*t. Calculate -8*j(n) - 5*x(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from {v: 3, c: 4, y: 2, l: 10}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 + -317. Calculate the common denominator of 58*2\/((-72)\/(-15)) and (-234)\/f + 3\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -994.\nAnswer: -994, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*h + 532 = 0, -329 = -3*t + 2*h + 55. Let u = 1428\/11 - t. Which is the third smallest value? (a) 0.4 (b) 11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 245*y - 15696 + 24295 - 82344. Solve -48*m = -5*m + y for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273756089.7 + 75203951.3. Let j = -348960044.35000153 + x. Let g = j - -3.35. What is g rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14360 + 2972522\/207. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 0. Let x(k) = k**3 - k**2 - 2*k + 4. Let u be x(w). Calculate the greatest common factor of u and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14443 + 4?\nAnswer: -14434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, -0.09, -2, -1\/4, 1\/5, 0.0493?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0*p = 5*x + 26, -3*x + 2*p - 13 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25678 to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - 4*b. Let v(w) = -b - 8*w + 2. Let u(j) = 10*j - 9. Let l(k) = k - 1. Let p(d) = 18*l(d) - 2*u(d). Calculate v(p(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 + -1ce1?\nAnswer: -1d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u - 17. Let x be y(7). Differentiate -24 - 359*i + 361*i - x*i**2 + 18*i**2 wrt i.\nAnswer: -112*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/3 (b) 2\/15 (c) -7\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 116947013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 11*c + 5*n - 317, 5*n = 4*c - 589. Let m be 2\/13 + c\/(-13741). Factor -m*z**2 + 0*z + 0.\nAnswer: -z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342*c**3 + 56 - 56 - 4024*c**3 + 1341*c**3 + 1348*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1, -68, 373, 0 in descending order.\nAnswer: 373, 4, 2, 0, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**2 - 2070*f + 2070*f + 0 + f**2 + 0 + (0 + 0 + f)*(f + f + 0*f) + (-2*f**2 - 4*f**2 - 2*f + 4*f**2)*(1 - 2 + 3).\nAnswer: -10*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93405 - -53486. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 0, -2*i - i - 4*f + 42 = 0. Let d(u) = 2*u - 2. Let c = -4 - -6. What is the least common multiple of d(c) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4233 divided by 249.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5096374 + -5096373.3100054. Let u = n - 0.69. Round u to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -90.908. Let t = k - -1.908. Sort -5, t, -2, -0.4.\nAnswer: -5, -2, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 40 + 38)*(-o**3 + 4*o**3 - 2*o**3) + o**2 - o**2 - 2*o**3 - 2*o**3 + 0*o**3 + 0*o**3 + (o**2 - 2*o**2 + 0*o**2)*(-4 - o + 4) - 1 - 4*o**3 + 1.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2868 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -5 in decreasing order.\nAnswer: 11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/6 - 20*h - 600 = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 18 = 0. Suppose -y*x + 16 = -2*x. Suppose x*l + 2*j + 0*j - 70 = 0, 80 = 5*l + j. What is the greatest common divisor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/14057875 and 41\/41830750.\nAnswer: 1715060750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 199*g + 1031. What is v(0)?\nAnswer: 1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25082 is divided by 492?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4960320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 141 = -3*c, 2*c + 101 + 21 = 5*b. Suppose 141 = -3*x - 4*t, -4*x - 2078 = 5*t - 1889. Is c equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 1. Suppose 3*w - 21 = -w - 5*g, 0 = 4*w - 5*g + 29. Determine q(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 8?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1019695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144841824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 1 (c) -1.1 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0389613 and 67?\nAnswer: 67.0389613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3663839 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000064355873 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0177 * 0.02\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-306)*675\/(-750). Let k = 0.38 + -0.08. What is the closest to 2\/5 in 3, c, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 5*f - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 3, 1, 57, -8 in increasing order.\nAnswer: -8, -5, -2, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((437\/76)\/23)\/(4\/((-528)\/1))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 176, 535, 1236, 2393?\nAnswer: 4120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**3 - 18*q**2 + 5*q + 11. Let d(u) = 5*u**3 - 17*u**2 + 4*u + 11. Let f(r) = 4*d(r) - 3*l(r). Calculate the lowest common multiple of f(7) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33145420 is divided by 1845.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120)*6 - sqrt(120))\/(sqrt(4) - (sqrt(4) - sqrt(16)\/sqrt(4)*-3)))\/(sqrt(90)\/(sqrt(90)\/sqrt(10)) - sqrt(40)\/sqrt(4)*5))**2.\nAnswer: 169\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/5 (b) -2\/13 (c) 0.06 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 10*x + x)*(1 + 0 - 6 + (1 + 0 + 0)*(-6 - 2 - 3)).\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 + 1 = n, 3*x - 11 = -4*n. What is the units digit of x\/(6\/(-2)) + 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 3, t: 1, z: 1, n: 1}. What is prob of picking 2 q and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*n - 112199 - 111414 = -223071 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -21. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 14*v**2 + 10*v - 1. Let l be f(-15). Let c = 105 - l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**22)**(-8)\/((s**(-2)\/s*s**(1\/5))\/(s**(-1\/4))**(1\/5)) assuming s is positive.\nAnswer: s**(715\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -406623, -406626, -406627, -406626?\n\"Answer: d**2 - 6*d - 406618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -8, 32, 98, 196, 332, 512, 742?\n\"Answer: u**3 + 4*u**2 + u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302411175?\nAnswer: 3, 5, 11, 37, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 141466b + 4?\nAnswer: 1414672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.05 - 0.05. Let n = -0.11 + -0.39. Sort r, -14, n in decreasing order.\nAnswer: r, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.51086 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b**2 - 298*b**2 + 80*b**2 + 109*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -43334158 - 4611395. Let h = 27181851 + a. What is h rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 28*a**4 + 7413860*a**3 + 138735640*a**2 + 93196080*a - 38125728 = 0.\nAnswer: -264762, -18, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 19 = -4*f + 5*v, 0 = -5*f - 2*v + 41. Let g(c) = 11*c - f*c - 5*c. Let z(h) = -h**2. Calculate g(z(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 2. Let l = -0.2 + f. Let z = -6.9 - -7.1. Which is the second smallest value? (a) -2 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -89. Suppose s*q + 21 = 82*q. Calculate the smallest common multiple of 16 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 186, 189, 192, 195, 198, 201?\n\"Answer: 3*k + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from jpjkjykrjj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 971. Suppose 10 = 5*w, -t + 6*t + 5*w = 10. Is o(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y**3 + 39*y**2 - 28*y - 9. Let w(f) = 43*f**3 - 156*f**2 + 113*f + 36. Let z(d) = -9*s(d) - 2*w(d). Factor z(g).\nAnswer: (g - 9)*(g - 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, 0, -47, -1, -0.4 in decreasing order.\nAnswer: 2\/35, 0, -0.4, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*n = -115722, -w + 41*n + 28928 = 42*n. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**14*t)**44\/(((t\/((t\/(t*t**9))\/t))\/t)\/(t\/((t**(-23)\/t)\/t*t*t*t)*t*t)) assuming t is positive.\nAnswer: t**(-513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-3)*24\/(-16). Let u = a - 21. Suppose 6*q**4 + 2*q + 5*q**2 + u*q**3 + 5*q**2 + 0*q**2 = 0. Calculate q.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-27)*15*(-45)\/(-64) and 29\/44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8374*j - 26878 = 8373*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2938, -5, 4, 5, -978 in descending order.\nAnswer: 5, 4, -5, -978, -2938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -4) + (-7)\/((-21)\/23232). Suppose -25*k + 9*k = -v. Suppose 4*w - k = 4*n, -3*n = -4*w - 4*n + 489. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28181.\nAnswer: 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 6 = 5*y. Let b be (2 - y)*(2 + -1). Suppose -b = -0*k - k. What is the highest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*u = 307*u + 276 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 22*b**3 - 1263619*b**2\/4 + 292761035*b\/2.\nAnswer: b*(b - 679)**2*(b + 1270)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-225))\/((-6)\/15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21835.\nAnswer: 5, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49213.2 - -2305607.8. Let k = t + -2354821.2999943. Let x = k - -0.3. Round x to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5141848 and 1.838.\nAnswer: 5141849.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 145368 divided by -72\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(4536) + sqrt(4536))*2 + sqrt(4536) - sqrt(4536))\/((sqrt(360)\/sqrt(324))\/sqrt(5)))**2.\nAnswer: 1306368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*f = 256*f - 66. Calculate the remainder when 69 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8565874 is divided by 7468?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + (sqrt(171) - (sqrt(171) + -1)**2)*-6 - ((sqrt(171) - ((sqrt(171) + -1)**2 + 2)) + -1*(0 + sqrt(171)) + 4))*6.\nAnswer: -360*sqrt(19) + 7266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1836, 7434, 16784, 29880, 46716, 67286?\n\"Answer: -u**3 + 1882*u**2 - 41*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**2 + 812*m + 2352.\nAnswer: -2*(m - 84)*(5*m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85952 and 615179?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51 + -0.11. Let r = -21 + 20.1. Let j = r - -0.5. What is the second smallest value in -3, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -1\/6*a**4 + 1\/3*a**3 + 0*a + 0 + 1\/30*a**5 - 2*a**2. Determine w so that m(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/25 and 27\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 7*c**4\/4 + 9*c**2\/2 + 12. Find the second derivative of r(d) wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5745818382 - -8213698447. Let i = 2467879978.99999874 - n. Let a = 86 + i. What is a rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (140\/56)\/((-1)\/(564\/(-3))). Let q = -464 + a. Solve -4*f + 2*f = -q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -2078, -5380, -11314, -20756, -34582, -53668?\nAnswer: -78890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 1)\/(-2) + 0. Suppose 5*z - 17 = 2*x, -1 = d*x + 2*z - 27. Suppose x*j - 13 - 51 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1709 divide 22717102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3743 (b) -4\/5 (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29772045 a multiple of 1257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396686 + -396685.648197. Let n = h - 0.352. Round n to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 - 915*s**3 + 1855*s**2 + 151275*s + 148500 = 0.\nAnswer: -11, -1, 15, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzqf when four letters picked without replacement from {q: 1, v: 4, f: 2, b: 1, z: 2}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -6937, 0 in descending order.\nAnswer: 2, 0, -10, -6937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1316*l**2 - 1319*l**2 + 11 + l - 10 + l**3. Give t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*p - 57, -8*p + 3*p = u - 135. Suppose -1015 = -p*j + 19*j. What are the prime factors of j?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2883275 and 0.17.\nAnswer: 490156.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-1 - -3)*-1. Let z(b) = 2*b**3 - 9*b**2 - 16*b - 9. Is z(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.4 + 19.4692. Let q = y + -0.04. Round q to three decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990986 and 2005162.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(704) + 1 - (sqrt(704) + -1 + sqrt(704) + 5 + sqrt(704) + sqrt(704) - sqrt(704)).\nAnswer: -16*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -25, -54, -117, -226, -393, -630?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181003114 to the power of 1\/2, to the nearest integer?\nAnswer: 13454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -400476 from -269.7563.\nAnswer: 400206.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in 0.1, 1, -11\/92?\nAnswer: -11\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*x - 5, 4*r - 8 = -0*r. What is the units digit of (4\/(-12))\/(x\/171)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4920140 divided by -1.\nAnswer: -4920140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c + 2*s, -4*c + s = -s - 10. Suppose 5*j + 0*j = c. Solve j = -i + 2*u + 11, -5*i + 25 = -0*i - 4*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 211266 = -5*p. Let o = -5000 + p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (6 + -5)) + -3. What is the second smallest value in 3, 0.1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*i = 20, 2*l - 5*i = 5*l + 1. Suppose 5*g = 3*z - z + 4, 4*g = z + l. Solve 4*f - 12 = 3*v - 8*v, -3*v = 2*f - z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*x + 3*y, 4*x - 5*y + 11 = 5*x. Let m = 17 + -8. Calculate the greatest common divisor of x and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*a + 4. Calculate the remainder when a is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010001 - -1100100101101?\nAnswer: 1110000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5641689.766 - -5647632. Let i = -5803.23695 + c. Let d = -139 + i. What is d rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364456 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30718*f**5*s**3 + 280*f**3*s**3 + 900610*f**2*s**3 - 28*f*s wrt f.\nAnswer: -1843080*f**2*s**3 + 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 3. Suppose z + u*w - 25 = -z, 20 = 3*z + w. Let o(y) = y**2 + 4*y + 4. Let d be o(-4). Solve -35 = z*l - g - d*g, -l = -4*g + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20104338 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**3 + 174*f**2 - 2211*f - 756.\nAnswer: 3*(f - 9)*(f + 28)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.386, 0?\nAnswer: 0.386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 135, 403, 827, 1419, 2191?\nAnswer: 3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -20. Is z > 22\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1162\/46812)\/(6\/(-8) - -1). Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/3*r**3 - r**2 + 1\/210*r**7 + 1\/480*r**6 - 1\/24*r**4 + 0 + 1\/1344*r**8 + 0*r - 1\/24*r**5. Factor k(d).\nAnswer: (d - 1)**2*(d + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8598840063296 and -0.4.\nAnswer: -8598840063296.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 14. Let j = -8 - -10. Suppose j*d = -0*d. Determine m(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1423 = 5*j + 4*n, 7*j - 2*j - 2*n - 1441 = 0. Solve c - j = -292 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + ((sqrt(792) - sqrt(792)*5)*-1)\/(4*sqrt(12)\/(sqrt(6) + sqrt(54))))**2.\nAnswer: -288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**2 + 11399752*p - 11399748 = 0.\nAnswer: 1, 2849937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30071 (base 13) in base 9?\nAnswer: 140585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15549433573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 11*c + 2. Let s be z(0). Suppose s*h = 2*l + 3*l + 3414, -5*l = -20. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 + r - 2. Let v be b(6). Find the second derivative of -13*k**5 - v*k**4 + 6*k**5 + 4*k**4 + 9*k wrt k.\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2560 = 9*f - 2551 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywvwvwjwvjwwywwjy. Give prob of sequence jv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 873\nAnswer: -4\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-7 + (6 - -2)). Let t(v) = 44*v**2. Give t(r).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -352*f + 376*f - 35160. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/100177920 and 187\/20870400.\nAnswer: 500889600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*j + 288 = 143 + 138, -3*w - 7*j - 7 = -2*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 21*y**4 - 1038*y**3 - 193296*y**2 - 110112*y = 0.\nAnswer: -74, -4\/7, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/25)\/((-2)\/(-730)). Suppose -4*x + z = -4. Suppose 0 = -5*a + 3*g + x - 21, -g + 111 = 4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.18 - 5.79. What is o rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + 3*h**2)*(2*h - 6*h + 3*h)*(2*h + 2*h - 6*h).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210 and 9850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -44.4. Let p = -11 - w. Let j = 85 + -85. Sort j, 4, p in descending order.\nAnswer: 4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Suppose -4*m = 4*h - i*h, 2*m = -2. Factor 2*l**2 + 2*l**h + 2*l - 5*l**2.\nAnswer: -l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 0 in ascending order.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5*o - 5)*(-2 + 2 - 4)*(2*o - 3*o**2 - 3*o + 2*o**2)*(-47 + 47 - 20*o**2).\nAnswer: -400*o**5 - 400*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1083 and -45\/209.\nAnswer: 11913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 - -174. Solve q = n + 2*l, n + 3*l + 3 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**2 - 3*u - 1. Let n be g(-3). Let f = n + -353\/4. Let q = 87.2 + -87.1. Sort -5, f, q in descending order.\nAnswer: f, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let t be (-1)\/((-14)\/(-12)*3). Let n = 0.8 + 0.2. Sort n, g, t in decreasing order.\nAnswer: n, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 2359.287.\nAnswer: 424.67166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/15182 and 53\/334004.\nAnswer: 334004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*2*sqrt(300)*6)\/(sqrt(30)\/sqrt(5)*3 + (3*sqrt(6)*-3 - sqrt(6))))**2.\nAnswer: 259200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*g - 7, -4*v + 4126*g - 12 = 4130*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/4)\/(((-357)\/(-57494))\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53033201 (base 6) in base 15?\nAnswer: -207857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 857304047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 52) + 0\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/(15\/50). Suppose n - g + f*g = 3, -3 = 3*n - 3*g. Which is smaller: n or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2734, 5478, 8222?\n\"Answer: 2744*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-6\/13)*l**(1\/26) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 12) in base 10?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 52*x**2 - 155*x + 2632. What is n(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 31*y + 13 = -5*m, 2*y - 4*m = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 9 = y + 6*x, 2*y - 3*x = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -23134121?\nAnswer: 23134114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + 2.69. Let d = -270 - -4048\/15. Which is the third biggest value? (a) 4 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*(-88)\/990*5\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 9*w**2 + 42. Let l be d(7). Calculate the highest common factor of 6020 and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/2*(-320)\/224. Suppose 0 = -3*k + 3*g + 27, 5*k - 10 = -7*g + b*g. Put 5, k, 2\/3 in descending order.\nAnswer: 5, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5 - 2*z + 324*z**2 + 10*z - 320*z**2. Let h be i(5). Suppose -2*s = -h - 45. Calculate the remainder when s is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 830, 1841, 3034, 4409?\n\"Answer: 91*h**2 + 738*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 32.81. Suppose 152*u - 204*u = -108*u. Which is the third smallest value? (a) u (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 233265846.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007770 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25792806 divided by 330677.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 230*h - 229*h. Let m = -179 - h. Solve 5*k + 8 = -m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02062*0.6.\nAnswer: 0.012372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**8\/672 - n**7\/30 - 3*n**6\/16 + n**5\/3 + 29*n**4\/12 - 8*n**3 - 692*n**2 + 3. Suppose b(u) = 0. What is u?\nAnswer: -8, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) 4\/7 (b) -1 (c) 2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 2*h + 3. Let k be x(-3). Suppose 278*g - 287*g + 36 = 0. Solve -16*l + 18*l + g = k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 244, 193, -20, -473, -1244, -2411, -4052?\n\"Answer: -13*n**3 - 3*n**2 + 49*n + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 138*n - 448. Determine b(5).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:32 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - -54?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 215648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**11)**47 assuming k is positive.\nAnswer: k**(-1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76674.\nAnswer: 2, 3, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36972)\/312*12\/(-54)*-3\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 417\/2387?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3270*a + 4067 = 7865*a + 4588*a - 11656 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3676 - 3173. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1684*b**4 + 90*b**2 + 7*b.\nAnswer: 40416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 2822*o**3 - 3*o + 242*o**3.\nAnswer: 3064*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of (2 + 2)*(2 - (-1 + 5)) + 6404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/4*(12 + 40\/(-3)). Suppose 6 = -4*b + o*b. Solve 8 = h - b*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -911 - -1750. Let d = x - 590. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 1904135.\nAnswer: 7616540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(34\/8)\/17*(-14)\/(-35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*j - 7, -j - 14 = -2*a. What is the remainder when 204 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 22. Let r be (y\/12)\/((-1)\/(-15)). Suppose 2*k + 10*c - 150 = 5*c, r*k - 346 = 2*c. What is the remainder when k is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 7, u: 3}. Give prob of picking 2 p and 1 x.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*j**2 - 479*j**2 + 2*j**5 + 69*j**3 + 135*j**2 - 2*j**3 wrt j.\nAnswer: 120*j**2 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 8*q + 4*j + 28 = 0, -3*q + j = 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1341 + 130. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*g = -4*g - 30, 4*a - 15 = -g. Suppose -2*b + 23 = 5*z, -8*z - 25 = a*b - 12*z. What is the fourth smallest value in 0.1, 0.13, b, -1\/4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - g)*(g + 3*g - 2*g) + (1977 + 59*g**2 - 1977)*(-2 - 3 + 3).\nAnswer: -112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + -7 + 4 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-4)\/((-2)\/1). Suppose 0 = n*z - 4. Suppose z*m - 7*m + 50 = 0. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011043596 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3873772, -7747541, -11621310, -15495079?\nAnswer: -19368848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 12*b + 41. Determine m(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 90. Let s be (-1)\/(-3) - (c + (-300)\/18). Suppose 26 = -5*r - s. Let x(v) = v**2 + 9*v + 12. Calculate x(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbjhjbuubub. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + (-3 - -2) + (4 - ((-4 - -6) + 0)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15 + 87693.953?\nAnswer: 87695.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 2 w when four letters picked without replacement from ttwtwwtwwwkwww?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*g**2 + 315*g**2 - 607*g**2 + 7*g + 40*g.\nAnswer: 9*g**2 + 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592276891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/16168*-14816 + -43.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 2*(5 + -6). Suppose 5*z - 4*g - 80 = 0, -b*g + 78 = 4*z + 14. What is the smallest common multiple of z and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*q - 14087 + 14152 = 0, 0 = -5*d + 176*q - 780 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-72) + (-2808)\/(-64). Let q = k + -310\/7. What is the nearest to q in -4, -2.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 359845 and 360049 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1 - 36\/28). Suppose 0 = -0*v - v - 262. Let x = 1053\/4 + v. Which is the smallest value? (a) x (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -14*p**4\/19 - 20924*p**3\/19 + 845000*p**2\/19 - 2710672*p\/19 + 2208960\/19 = 0.\nAnswer: -1534, 10\/7, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 75 = -3*q. Suppose x + 297*w = 299*w + 60, -5*x + 248 = 3*w. Calculate the remainder when x is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3 - 760*m**2 - 725*m + 4530 = 0.\nAnswer: -151, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11 = 9. Let n = 259.67 + -260. Let l = n - 0.67. Put o, -10, l in increasing order.\nAnswer: -10, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -5 (c) -11\/7 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1284*((-200)\/(-24) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3629, -13487, -29573, -51887, -80429?\nAnswer: -115199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13896 + -13880. What is the highest common factor of 9136 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 154*z**3 - 9*z**2 - 9*z + 20. Let j(p) = 231*p**3 - 13*p**2 - 13*p + 30. Determine 5*j(d) - 7*x(d).\nAnswer: 77*d**3 - 2*d**2 - 2*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 3*j + 135 = 0. Calculate the remainder when (1 - 3)\/6*-174 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34129 + -509008\/15. Let w = 195 - m. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920\/575*10\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 7464. Let i(j) = 61*j. Give i(w(t)).\nAnswer: 183*t + 455304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 9*u + 10 = 10*u, -w - 5*u - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 4*s - 3. Let n be l(-3). Find the third derivative of -5*t**2 + 2*t**6 + 3*t**2 + n*t**2 wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13176*d + 65909. Calculate y(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.42, 2, 0.5, 1.3, -0.1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025576 and 0.2?\nAnswer: -0.0051152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**2\/7 - 30838*t + 129516\/7.\nAnswer: 2*(t - 21586)*(5*t - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/2 + (-4 - 0\/7). What is the remainder when (q - -4)*1\/5*53 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/10)*(u*u**(1\/6)*u)\/u*u**2\/u*u**(-1) assuming u is positive.\nAnswer: u**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 54 + -5 + -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 37 = 3. List the prime factors of ((-51)\/p)\/((-30)\/(-740)).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 17. Let s be u(-15). Which is the third smallest value? (a) -22 (b) 2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2957069 or 0.12?\nAnswer: -2957069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -5*h**2\/2 + 5. Suppose 0 = -5*r + 3*i + 15, -3*i - 9 - 6 = 0. Let s(l) = 0*l + r*l - l. Determine s(v(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = 0. Suppose -5*b = -4*b. Suppose -5*h + 28 - 3 = b. Solve -h*p - 8 - 2 = t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 5 - -51*2\/27. Let j = -9.754 + 9.8. Let a = 8.954 + j. Do k and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -19, -5, 4, 0 in decreasing order.\nAnswer: 77, 4, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629211583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(sqrt(75)*-1 + sqrt(75)))**2)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 15. Let k = 10 - i. Let w(l) = -l**2 - 9*l - 1. Let p be w(-8). Solve -5*y = -k*n + 2 + 18, 3*y + 2*n = p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 1030\/210)*14\/8. Sort l, -3\/23, 5.\nAnswer: -3\/23, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19139, -38271, -57403, -76535, -95667?\nAnswer: -114799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 178, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/260 and -67\/208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1258, 1337, 1416, 1495?\n\"Answer: 79*z + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25a423 - 0?\nAnswer: -25a423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -4. Suppose 5*d = 2*i + 299 + 138, 4*d + j*i = 364. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let v(m) = m + 1. Let q(g) = g - 3. Let r(x) = -q(x) - 3*v(x). What is r(b(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 60. Determine r(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/3 - 19*l**2 + 28*l\/3 = 0. Calculate l.\nAnswer: 0, 1\/2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1554 and 190?\nAnswer: 147630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 + 1.512696.\nAnswer: 0.412696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001997 rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:32 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:02 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120202112120 - -1200?\nAnswer: 22120202121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21777 and 2604.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -11. Let a = -17 - -27. Let h = a - b. Solve -2 = 2*s - h*x - 4, -3*x - 34 = 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 3*l - 1 + l)*(9 + 1 - 2) in the form d*l + y and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(441) - (sqrt(441) - 1*sqrt(441))) + sqrt(441))*5)\/(-1*(sqrt(3) - 2*sqrt(3)) + sqrt(3) - 3*sqrt(3)*-3)*6)**2.\nAnswer: 4762800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmlpllmmpmppplppmpp. What is prob of picking 1 p and 1 l?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 5*h**2 - 8*h - 8. Let z(a) = a**3 + a**2 - a - 1. Give -k(b) + 6*z(b).\nAnswer: b**3 + b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 15. Suppose 2*o - 12 = 4*t + 18, -o = 5*t + 55. Give q(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**4 - 280*b**3 - 34588*b**2 + 36496*b + 209040 = 0.\nAnswer: -65, -2, 3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + 3*sqrt(567)) + 1 + (5*(sqrt(7) + 0) - sqrt(7) - sqrt(70)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: 438*sqrt(7) + 335728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26765 = -765*s - 10700 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74803, -74792, -74773, -74746, -74711?\n\"Answer: 4*f**2 - f - 74806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**2 - 1\/3*b**3 + 0 + 1\/6*b**4 + 7*b. Factor g(v).\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:29 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 10*s - 2. Let t be q(9). Suppose 2 = 3*k - t. Suppose -y + 2*h = 3030, 6668 = -k*y - 3*h - 2467. Round y to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 680 - 339. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 73, -1, -0.4, -1\/30 in increasing order.\nAnswer: -1, -0.4, -0.15, -1\/30, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 5, 0.22, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(2\/55)*n**26*n*n*n*n**(-3)*n assuming n is positive.\nAnswer: n**(1493\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -15) + -6 - 8*184. Let u = i - -2577. What are the prime factors of u?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 330*o**2 - 2660*o + 88200.\nAnswer: 5*(o - 70)*(o - 14)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3868, -5, 7 in ascending order.\nAnswer: -5, 7, 3868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/150*(-2 - (-6)\/4). Which is the closest to 2? (a) 0.5 (b) p (c) 1.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 8 + 32 = 0. Sort -4, 2, 4, l.\nAnswer: -4, l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1 - 4 - 1). Solve c*f - 5 - 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228831 divided by -3?\nAnswer: 76277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 5*o + 4. Let x(i) = -i**2 - 2*i + 2. Suppose -6*h = -41 + 11. Let p(a) = 7*a**2 + 41*a - 8. Let q be p(-6). Give h*x(m) + q*y(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30736680 to the nearest integer?\nAnswer: 5544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10493489?\nAnswer: 10493489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27, -0.3, -2506, -2\/21, -1\/5?\nAnswer: -2506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20824 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144800 is divided by 144792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503768 at most as big as 6503768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 4, r: 1, i: 1, x: 1}. What is prob of sequence gr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 69*i - 353. Let t(x) = 111*x - 529. Give -5*t(d) + 8*z(d).\nAnswer: -3*d - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/12 - -2) + 5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924 divided by 178?\nAnswer: -962\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26488.77 millennia in months?\nAnswer: 317865240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -935*b - 6681. Determine i(-7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2042 = -5*n + 39357, -2*n = 4*w - 14922. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let z = 5.92 - -0.08. Let d = -10 + z. What is the third biggest value in d, n, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18972*u + 17569*u - 41932*u to the form q + i*u and give i.\nAnswer: -5391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:27 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -31*x - 2. Let n(a) = 31*a + 1. Calculate 3*n(w) + 2*s(w).\nAnswer: 31*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -296*k**2 + 27223*k - 394. Determine h(92).\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h - 16. Let q be n(3). Suppose q*b + 14 = 48. Suppose -2*r + o + 1 = 0, o - b = -r - 3*r. Solve g = -1, 3*d + r*g - 7*g - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 487 = -3*d - 70, 3*g + 2*d = -1273. Suppose 4*h = -14 + 10. Is (h - g)*(-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 - 221.9858. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moo when three letters picked without replacement from {o: 4, m: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4894914 and -19.\nAnswer: -93003366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 37*y**2 - 40*y**2 + 317*y - 108*y as g*y + w + p*y**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 23*p**2 + 20*p - 9. Suppose 0 = w + 4*u + 30, 5*u = 2*w + 4*u + 42. Let g be s(w). What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnqw when four letters picked without replacement from {w: 1, n: 1, g: 2, d: 2, q: 1, r: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 4.08. Let s = 4.1 - x. Let z = 0 + s. Sort 2\/7, -4, z in descending order.\nAnswer: 2\/7, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 366 = -5*p + 60, -4 = 4*z. Calculate the remainder when p is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30868 = -165*d + 169*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - b - 3*b - 14 = 0, -4*b - 24 = -4*o. Let w = -13 + 9. Let s(v) = v + 7. Let q be s(w). What is the biggest value in o, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -5 + -2 + (-53 - -56) - -4.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (-31 + -59 + 78).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27141.839 + -44064.9?\nAnswer: -16923.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2924 and 45\/76?\nAnswer: 55556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52320232, 104640459, 156960686, 209280913, 261601140?\n\"Answer: 52320227*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -16. Let f = 0.05 + -4.05. Let y = f - -6. What is the smallest value in u, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 30536?\nAnswer: 152680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 230.386 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1623219 times -0.4\nAnswer: 0.06492876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.76 - 15.9. What is z rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y - 9, 0 = -4*c - y - 3. Let l be (-4)\/(-16)*c + (2 - -1). Solve -5*a + 24 = l*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10665\/2 at least -5334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8580 + 90736*l**2 + 8580 - 249*l + 249*l.\nAnswer: 90736*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003213464922 rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 15141?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s + 1. Let z(a) = 8*a**2 - 6*a + 2. Calculate -5*g(c) + z(c).\nAnswer: 3*c**2 + 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*f - 35 = 0, -5*m + f - 20 = -0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.755 times -19?\nAnswer: -14.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1469966673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/5)*x**(-2\/3))**(14\/5)*(x**(2\/11)*x)\/(x**0\/x)*(x**(-1)*x)\/x**(-2) assuming x is positive.\nAnswer: x**(5606\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 65.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let a = 3 + g. Let d be (a - 1) + (0 - -1). Solve 0 = -3*h - 3 - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-39)\/4*2. Let l = j - -35. Let h(w) be the third derivative of 7*w**4\/8 - 9*w**2. Let a(z) = 5*z. Give l*a(q) - 2*h(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139, 167, 221, 307, 431?\n\"Answer: u**3 + 7*u**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.102419372?\nAnswer: -0.204838744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 23 + 23. Let y(o) = -25 + 2*o + 10 + 15. What is y(g(s))?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/6 - 17. Put u, 3, 3\/4, 0.4 in descending order.\nAnswer: 3, 3\/4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451281032, -451281033, -451281034, -451281035, -451281036?\nAnswer: -451281037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 3, x: 2}. Give prob of sequence fff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10921 - -11132. Which is the closest to -0.3? (a) j (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -169*g + 4831. Determine z(29).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4338581 less than -10?\nAnswer: 4338571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-30))\/((-4)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995951?\nAnswer: 3, 1665317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/5)\/t*t*t)\/t**(13\/4))**(11\/7))**(-2\/81) assuming t is positive.\nAnswer: t**(407\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 207\/959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 208\/(-40))\/(20\/25). What is the second smallest value in r, -2\/3, -66?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 2*a + 1269 = -16*a for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002058819 rounded to 7 decimal places?\nAnswer: -0.0020588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 1584.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276597 = -3*z + 4*x - 3*x, -5*z - 4*x - 461012 = 0. What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1909*t**4 + 315*t**3 + t**2 + 7*t + 4005024 wrt t?\nAnswer: 22908*t**2 + 1890*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118614951 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 363317362 a multiple of 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/30*(-10)\/(-76). Let n = b - -30\/19. Is n less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 + 0*u**3 + u**3 - 7*u**2 + u**3 as d*u + h + o*u**3 + g*u**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 74 + 49. Calculate the smallest common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 8. Suppose -16 - 8 = -4*u + 4*a, 2*u + 4*a = 24. Suppose -2*h = -x + 2*h - u, -13 = 4*x + 3*h. Let l be z(x). Solve -l*q - 1 = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 - 8*p + 2. Let d(n) = 16*n**2 + 42*n - 11. Let f(l) = 11*a(l) + 2*d(l). Factor f(g).\nAnswer: -g*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 10*r**2 - 7*r - 207. Give s(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6571951?\nAnswer: 23, 29, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 2168, 3252, 4336, 5420?\nAnswer: 6504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(1755\/(-1131))*5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36929, 73872, 110815, 147758, 184701, 221644?\n\"Answer: 36943*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = o + 3*y, -139*o + 143*o = 2*y + 12. Solve 21 = -o*v - d, -14*v + 15 = -18*v + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5152 and 57344?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 - 8*v + 10. Suppose 0 = 8*a - 1420 + 1404. Let f(w) = w**2 - w + 1. Suppose 3*o = -4*z - 72, 56 = -2*z - 5*o + 20. Determine a*u(i) + z*f(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) 4177 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s + 103 + 103*s - 103 to the form q + i*s and give i.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let i be g\/6 - (-52)\/(-6). Let p(x) = x**3 + 3*x**2 + 7*x + 6. Let q be p(i). Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) 0.5 (c) -3\/4 (d) -36 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(6\/11)\/(l**(3\/4)*l**(2\/3)) assuming l is positive.\nAnswer: l**(-169\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 131414 (base 6) to base 5\nAnswer: 341114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3948 (b) -5\/2 (c) -44 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -289?\nAnswer: -115.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/16*-2 - (-3902)\/(-18). Let s = 21839\/99 + b. Calculate the common denominator of s and ((-24)\/(-154))\/(10\/105).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 5*n**2 + 4*n + 2. Let d be u(4). Suppose -h + a - d = 0, 4*h + a = -2*a + 13. Solve 0 = c - l + h, 4*l = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9774005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1924 + 1224 = 4*r. Suppose -r = -p + b, -3*p + 899 + 1462 = 4*b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(51)*1*3 + (sqrt(1275) - -2*sqrt(1275)) + sqrt(1275))\/(sqrt(108) + sqrt(108) + sqrt(108)*-3*4))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7550 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -106*o**2. Let d(y) = -3*y**2. What is b(d(q))?\nAnswer: -954*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 22*c**2 + 34*c - 124. Give w(21).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501767498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3 + c**2\/2 + 388. Let l(q) = -7*q**2. Calculate 6*f(p) + 5*l(p).\nAnswer: p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 16 - 4. Suppose -21151 = 14*v - 27*v. Let z = -1620 + v. Solve -3*q + b = -z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(117) + sqrt(117) + sqrt(117)*2*-2 + sqrt(117) - sqrt(117)) + sqrt(117))*1)\/(sqrt(1008)\/sqrt(7) - sqrt(216)\/sqrt(6)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1359847*n - 1100013*n + 680146*n - 335204*n.\nAnswer: -2114918*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - e?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695*y + 189*y = -119416. What is the remainder when y is divided by 71?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 36 = 4*r, -r + 5*s - 7 = 10*s. What is the thousands digit of (-4254)\/(-4) + (r\/(-26) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 1:59 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 + dddb?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061883 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g + n, 4*g - 34 = 390*n - 385*n. Which is greater: g or 7\/1565?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 9*v + 9. Let u = -16 - -10. Let q be f(u). Let p = 6 + q. Put p, 5, 0 in decreasing order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 99 - s - 3*s + 92.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -98751 and -415941401.\nAnswer: -416040152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 25. Which is greater: -3\/11 or z?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r**2)*(3*r**2 + 2*r**2 - 4*r**2) - r**4 - 2*r**4 - r**4 + 89*r**4 - 59*r**4 - 58*r**4.\nAnswer: -33*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1572275*a**4 + a - 1842485?\nAnswer: 18867300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600*t - 757 = -8757 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-4379)\/203)\/(1\/(-7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -29*x + 4361. Determine g(153).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2086 = 255*q - 257*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = 0, -2*k - 5*z = -k + 15. Let d(w) = -w + 2. Let h be d(k). Let p be 3*2\/(-24)*-1. What is the biggest value in p, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/21138 and -59\/300810?\nAnswer: 3910530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f**2 + 2)*(-2*f**3 + 2*f**3 - f**3) + f**5 + 3*f**5 - 17*f**5 - 2*f**5 - 2*f + 2*f + (-3*f**2 + 3*f**2 + f**3)*(-f**2 - 3*f + 3*f).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) -4 (c) -3 (d) -2 (e) -1\/180\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, 0.5, 0.4 in increasing order.\nAnswer: -0.5, 0.4, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2094 = 2*s - 3*z, 4*s - 4184 = 4*z - 0*z. Suppose 31*y = -5*y + s. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 7) + -3 + (22 - (5 - 8))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*y - 21, 0*a = -5*y + 4*a + 41. Suppose -s = -5*x + y, 4*x = 3*s - s + 4. Factor s*q**5 + 20*q**3 - q**5 - 19*q**3.\nAnswer: -q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -60, -120, -202, -306, -432?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100010111101001110 (base 2) to base 7\nAnswer: -3305465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2 - 249*b*t**2 + 2*b*t + 2973*t**2 with respect to b.\nAnswer: 6*b - 249*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnaammvvmavvmvabvn. Give prob of picking 1 n and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:08 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -377?\nAnswer: -37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*j**2 + 20*j**2 - 116*j**2 + 352*j**2.\nAnswer: 482*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 3 + 4)**2.\nAnswer: 112*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7194118500 rounded to the nearest 1000000?\nAnswer: 7194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - w**3 + 0*w**3)*(12*w + 8*w**2 - 2 - 5*w - 8*w).\nAnswer: 16*w**5 - 2*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10830 divided by -5\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005506 bigger than 15082604\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6135332*o*z**3 - 6338*o*z**2 - o*z + 16*z**3 - 5*z + 12 wrt z?\nAnswer: -36811992*o + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503 + 508. Let u be 2 - -2*(-9)\/10. What is the closest to u in 3, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22 = -5*n, -3*k + 5*n = -7 - 12. Find the second derivative of 2*b**k - b**3 - 3*b - 4*b**2 + 4*b**2 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2*k**7\/49 - 46*k**6\/105 + 41*k**5\/35 + k**4\/7 - 88*k**3\/21 + 40*k**2\/7 - 375*k. Determine d, given that a(d) = 0.\nAnswer: -1, 2\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 7*b**3 - 8*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327750749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h + h**3 - 2 + 1\/2*h**4 - 3\/2*h**2 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i + 4. Let k be l(2). Suppose u = -u + k. Solve u*c - 2*y + 10 = 4*c, 0 = -2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2466.159 millennia?\nAnswer: 24661.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2 - k**3 + 33 + 5*k - 31 - 8 + 13*k**2. Give h(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 111, -2, 22, 3, 7 in ascending order.\nAnswer: -2, 3, 5, 7, 22, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1577\/(-1235)*-5)\/((-2)\/(-26)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 29. Let x(b) = -15*b**2 - 14*b - 21. Let a(w) = 8*w**2 + 6*w + 10. Let r(j) = 11*a(j) + 6*x(j). What are the prime factors of r(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -390. Suppose -150 = -3*m + x. Suppose m - 24 = 6*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2\/9, 3, -0.03 in descending order.\nAnswer: 12, 3, -0.03, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -6201.\nAnswer: -1240.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207273 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*d - 43*d**6 - 2*d**2 + 31*d + 40*d wrt d.\nAnswer: -5160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16\/531 (b) 5 (c) -1\/10 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/3 + 2982*c**2 - 1349042*c\/3 - 452662 = 0. What is c?\nAnswer: -4619, -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 19*q**3 - 67*q + 18*q**3 + 123.\nAnswer: -q**3 - 67*q + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586160 is divided by 176235.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -3*a, -3*a + y + y = 0. Let u = a - 2. Suppose h - 20 = -u*h. Solve 0 = -5*w - 5 + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 12, q: 1, p: 2, s: 3}. What is prob of sequence umqp?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = -8*l + 774077. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -999*y + 27. Is 75 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70986354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028205 to 5 dps.\nAnswer: 0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.25 equal to 0.742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 c when four letters picked without replacement from {c: 1, j: 12}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-3) + 5*(2 + -1). Let a(p) = -34*p + 17. Let q(u) = -8*u + 4. Let k(m) = z*q(m) - 2*a(m). Let i = -5 + 7. Determine k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/9, 3\/8, 3, -2\/13, 2\/15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 12, 29, 48, 69?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/104973 and 23\/12724.\nAnswer: 419892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0891 - -3.9109. Which is the closest to 6\/11? (a) u (b) -1 (c) -2\/11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270155*m - 16682 = -269716*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 18465*k - 129197. Calculate o(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)**(-1\/54)*v**5\/v**(-5) assuming v is positive.\nAnswer: v**(179\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**7\/210 - b**6\/240 + 11*b**2\/2 + b + 7. Let h(w) be the first derivative of n(w). Solve h(c) = 0 for c.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:16 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -95.5 - -198697522892\nAnswer: 198697522796.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34.0704l?\nAnswer: 34070.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/53, -3\/5, -0.02, -1275, 0?\nAnswer: -1275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 6:24 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -596215*g**4 - 21*g + 602?\nAnswer: -7154580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. What is the second derivative of 0*u + 0*u**5 + 3*u - 2*u - 3*u**y wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-140)*-5*7. Let y be (b\/10)\/(11\/55). Suppose 2*g = 31 - y. What is the greatest common divisor of g and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)\/1 - -3. Let j(l) = -11*l + 5*l**2 - r*l**3 - 13 + 23 + 3*l**3 - 42. Let g be j(-6). Do g and -17\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16552 - -16556. Let a(j) be the first derivative of -4\/21*j**2 + 40 - 8\/7*j + 2\/21*j**3 + 1\/42*j**r. Factor a(h).\nAnswer: 2*(h - 2)*(h + 2)*(h + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-2 + 5 - 4)*(18*o + 13*o - 9*o).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, y: 7, q: 4, d: 2}. What is prob of sequence dq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 418 + 54. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 1) + 7 + 2 + (11 - 20).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 11*o**2 + 4*o + 14. Determine x(10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*b**2 - 159*b**2 + 369*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 1281*a**2 + 3830*a + 5112.\nAnswer: (a - 1278)*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 4*c, -4*u - c = 3*c. Suppose 8*w + 1048 = 1112. Solve -w = -5*q + 3*v - 28, -u*v = 5*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299022, 1196152, 2691368, 4784670, 7476058, 10765532, 14653092?\nAnswer: 19138738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/23 - 110*u**3\/23 + 304*u**2\/23 + 416*u\/23 = 0 for u.\nAnswer: -1, 0, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 1972 = 4*x. Let c = -141 - x. Suppose -5*b = 3*b - c. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005 * -1442509.\nAnswer: 7212.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - 4*z**2 + 3*z**2 + (1 - 1 + z)*(-2*z - 3*z + 6*z) + (-1 - 1 + 3)*(-2*z**2 - 4*z**2 + 3*z**2) + z**2 + 0*z**2 + 0*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326181\/11327821 - -4\/25229. Find the common denominator of j and 71\/8.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 186.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -432678233\/18 - -24045458. Let l = 7775 - g. What is the common denominator of 37\/2 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 5, 120 in descending order.\nAnswer: 120, 5, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 51*b**4 + 317*b**3 - 369*b**2 - 1242*b + 2376 = 0?\nAnswer: -2, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/(-4))\/((-191)\/((-272748)\/42))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3233303030 + 0?\nAnswer: -3233303030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/(-12))\/(3\/(-36)). Let m = l - 14. Are 4 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2345887 (base 9) in base 14?\nAnswer: -2510c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*q = -1064731 + 1067251 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -350, -905, -1688, -2699, -3938, -5405?\nAnswer: -7100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -493*h**5\/20 - 221*h**3\/6 - 637*h**2. Let v(b) = -20*b**2 - 3. Determine -6*l(r) + 442*v(r).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*d*l**4*v**2 + 145*d*l**4 - 35*d + l*v**2 + 5*v**2 - 8 wrt l?\nAnswer: 2472*d*l**2*v**2 + 1740*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.96. Let z = 1.04 - y. Let a = -0.6 + 1. Put z, -3\/8, a in decreasing order.\nAnswer: z, a, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7 = -2*x, 0 = -4*x - 5*w + 8*w - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 - 6*o - 13. Let g be m(9). What is g rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 689 = -188*o - 504*o + 56 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z - 165 - 3300 = 0 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/30 and 103\/1240?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 - 703 = -127*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) - (51\/6)\/(-17). Put v, 13\/5, -5 in descending order.\nAnswer: 13\/5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*t, -x - 40 = -5*x + 4*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 26*d - 948 = 0. What are the prime factors of d?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10406\/3 - 541031\/156. Let v = d - 1\/52. Factor v*a + 0 - 1\/4*a**3 + 1\/4*a**2.\nAnswer: -a*(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 730320 and 171840.\nAnswer: 2921280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 7. Let m be u(5). Suppose 4*d - 9 = m. Let y = 13 - 5. Calculate the greatest common divisor of d and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = -5*r, -3*u + 2*r + 301 = 288. Sort 7, -5, u in ascending order.\nAnswer: -5, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*g**2 - 112*g**2 - 44*g**2 + 2*g**2.\nAnswer: 106*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*q**4 - q**3 - 936225*q**2 - 167847998*q wrt q.\nAnswer: -948*q**2 - 6*q - 1872450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = -5*l, -5*l + 8 = 2*a + 18. Let r = 5 - l. Let s = 11 - 7. Put s, 0, r in increasing order.\nAnswer: 0, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34535126.\nAnswer: 2, 17, 1015739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - c + 5*c - 4*c + 2 + 0*c + 2*c**2. Calculate r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i + s + 9, -s - 16 = -2*i. Let a(n) = -n**2 + 8*n - 3. Calculate the remainder when a(i) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -5*u**3\/6 + 34*u + 2. Let h(i) = -60*i. Calculate p(h(k)).\nAnswer: 300*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdg when three letters picked without replacement from aacdcaccgddaggaaga.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 9 + 1 = -3*y, 3*h = 3*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 67*h**2 - 64*h + 270. Let u be s(-68). Sort u, 9, 3, -5, 4.\nAnswer: -5, u, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 4*w - 3*w + 8*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/2 - 237*z**5\/20 + 309*z**4\/4 - 185*z**3\/2 - 75*z**2 - 57*z + 27. Determine j, given that v(j) = 0.\nAnswer: -1\/5, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5)*-167 - 10\/25. Suppose r = 8*o - 3695. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(392) + -3*(sqrt(392) + -5*sqrt(392)))*-4)**2*-3.\nAnswer: -3180147 + 39312*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**4 + 931111*t**3 + 20178*t**2 - 14*t wrt t.\nAnswer: -48*t + 5586666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*-1*sqrt(171)*6)\/(sqrt(9) - sqrt(45)\/(sqrt(10)\/sqrt(2)) - (sqrt(1575)\/sqrt(7) - sqrt(9))) + 3.\nAnswer: -36*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000101111110101010100001001?\nAnswer: -1000101111110101010100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 + (0 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.2, -2, -0.4, -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47776 and 36?\nAnswer: 429984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5 + 17 - 3*c + 2*c + 2*c. Let d be k(-12). Solve d = -3*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.307316398 and -32.702?\nAnswer: 32.394683602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67253, -66987, -66721, -66455?\n\"Answer: 266*l - 67519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 11. Let y(b) = 1342*b**2 + 1. What is r(y(t))?\nAnswer: -6710*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3*g**2 + 5*g + 12. Calculate x(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 270858 to the nearest 1000.\nAnswer: 271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -23?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 4. Let n(y) = -4*y - 6. Suppose -r - 3*r = -20. Let l = -3 - 4. Give l*o(q) + r*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991954710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 2. Let z(n) = -835348*n. Determine z(m(c)).\nAnswer: -6682784*c + 1670696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*p - 22916 = 5287*p - 309 + 108289 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 7 - 5. Let a = -13 + s. Which is smaller: a or -5\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19618720?\nAnswer: 2, 5, 11, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250 - -235. Let o(h) = 12*h + 183. Let j be o(f). Solve -y - 4*a + 4 = 0, -j*a - 16 = 3*y - 7*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g\/(g*g*g**(-3\/4)*g)*g)))\/(g*g**0))\/(((g\/(g**6\/g*g))\/g)\/g*g*g**(-2)) assuming g is positive.\nAnswer: g**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116 in -1\/194, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15510471 is divided by 23324.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*-1*(0 - -3). Suppose -s - 6 = -f. Calculate the common denominator of -38\/3 and s - 6\/8 - -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100010?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2690 - 1543 = -67*l - 16*l for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 60*c - 900. Let w be a(29). Let m(v) = -v**2 - 12*v - 1. Let s(u) = u**3 + u**2 + u - 1. Give w*m(y) - s(y).\nAnswer: -y**3 + 11*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u - 24. Let j(m) be the third derivative of m**4\/24 + m**3\/6 - 4*m**2. Let o(v) = -i(v) - 6*j(v). What is the first derivative of o(k) wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -3.43.\nAnswer: -291.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157913588681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(1296)*-2)\/((6*-2*sqrt(56))\/(sqrt(672)\/sqrt(6))).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**3 - 4*o**2 - 4*o + 2. Suppose 0 = -4*n + 12, -3*r = n - 3*n - 762. Let i(f) = 254*f + f**2 - 509*f + r*f. Calculate b(c) + 4*i(c).\nAnswer: 4*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l - d + 11, -4*l + 2*d + 10 = 0. Suppose 0 = -l*q - 1 + 9. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -377, -1, -47 in increasing order.\nAnswer: -377, -47, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.194 (b) -0.2 (c) -53550 (d) 0.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 24 = 4*l - 4*h, 3*h = -2*l - 13. Let y(q) = -q - 5. Let z be y(-3). Let o be 1*(3 + 0 + z). Solve -a + l = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*t = 569*t + 348 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c + 5. Let j be d(1). Let h(g) be the second derivative of -g**3\/6 - 3*g. Let r(t) = -t. Determine j*h(k) - 5*r(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406 - 429 - 405 + 66*g + 1241 + 96*g.\nAnswer: 162*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 2*l**2 + 8*l + 6. Let b be 10\/(-15) - 32\/6. What are the prime factors of j(b)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1083, 1211, 1339?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 289*u**3 - 8*u + 9. What is the tens digit of i(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8318\/23265 or 0?\nAnswer: -8318\/23265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 7*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-1))\/(19*78\/(-5187)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 14*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3210*l**3 - 3*l**2 - 3*l. Let k be (-4)\/(-12) - (-730)\/6. Let t = 121 - k. Let g be i(t). What is g rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -78. Let u = q + -53. Let g = -743 - -9653\/13. Which is the closest to g? (a) 0.3 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-36 - -40 - (3 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310935315 is divided by 2260.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34170944?\nAnswer: 2, 533921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-1 + -13) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5592 and 16914402?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 16. Suppose -y*a + 11 + 4 = -b, 5*b + 12 = -a. Let p(z) = -z**3 - 3*z**2 - 4. Let x be p(-4). Solve -a*k = -0*k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 1, u: 3, r: 3, b: 1}. Give prob of sequence nnun.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -337*o + 2551. Calculate w(8).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f**2 - f + 1. Let b(m) = -2*m**2 - m. Suppose 7*a - 44 = 12. Let s be 2 - -3 - a\/4. Suppose s*t - 3 = -0*t. What is t*b(r) + 2*q(r)?\nAnswer: 2*r**3 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/90 + 9*v**4\/8 - 8*v**2. Let x(o) be the second derivative of a(o). Let r(y) = y. Give r(x(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 770.4 + -770. Which is smaller: 1\/166 or z?\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95176 is divided by 95167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 + 7 = 0. Suppose j*f - 114 = -34. Solve -w - f = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.033 - 18.033. Let l = 0 - -0.1. Let h = -2 + -2. Which is the nearest to r? (a) 1 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3 - 11*y**2 + 24*y. Let l be n(-7). What is the greatest common factor of l and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 5}. Give prob of picking 1 c and 3 i.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(931)*6 + sqrt(931) + 0 + sqrt(931) + 1 - -3*(-3 + sqrt(76) + sqrt(76)*-1))**2.\nAnswer: -1568*sqrt(19) + 182540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/25)*w**(-2\/19)\/w*(w**(2\/5))**(-13))\/((w*w**1)**12\/(w**(-3\/2)*w\/w**(3\/5)*w*w)) assuming w is positive.\nAnswer: w**(-28011\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -25. Suppose -k*p - 81 = -5*p. Suppose u = -3*h - u + 10, -h - 4*u = 0. Solve 0 = -5*v - h*o - p, -4*v = 8*o - 3*o + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-929460495)\/(-4) - 6 - 1\/(-4). Suppose 3*p - w + 24165112 = 2*k, -5*p = k - 346999997. Round p to the nearest one million.\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 7*q + 3. Sort 3, -5, q, -4 in descending order.\nAnswer: 3, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4572 (base 9) to base 12.\nAnswer: -1b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26d - 2a2?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.2 (c) 0.39 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1420 (base 9) to base 13\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 48, 45, 44?\n\"Answer: u**2 - 8*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257 or 1790\/7?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850239555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 79*m = -137*m. Let x = 0 - 1. Let j be (-1 + 0)*1 - x. Solve 0 = 5*w - 4*v - 2 - j, m = w + 3*v + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*s + 25, 0*a - 291 = -5*a - 4*s - 278 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqqf when four letters picked without replacement from fsqffqq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 6. Let j be g(5). Suppose 36 = 12*d - j*d. 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: Simplify (u**1)**(3\/8)\/(u*u*u**(1\/2))**(-31) assuming u is positive.\nAnswer: u**(623\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - -1496 - (-418)\/(-22).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308395.9 take away -14?\nAnswer: 1308409.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 7}. Give prob of picking 1 p and 2 s.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6746212 + 9562.41?\nAnswer: 9563.0846212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6339443ng to kilograms.\nAnswer: 0.0000000000006339443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**4\/4 - 10*p**3\/3 - 13*p**2\/2 + 20*p - 14. Let o be m(11). Let a(v) = v**3 + 2*v**2 - 2*v - 1. Give a(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from tttbtkbktbkttbktktt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 127187*k - 1. Let p(u) = -187*u. Determine c(p(b)).\nAnswer: -23783969*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(57\/6)*2\/4. Let w be (1\/2)\/(3\/(-12)). Let r be 4\/14 + (-57)\/(-21). Put b, w, r in ascending order.\nAnswer: w, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3 + 9178*v**2 - 9177*v = 0.\nAnswer: 0, 1, 9177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 - 2*v + 1. Let w be s(1). Let k be 120\/(-18)*(-6)\/5. Let x be k\/(-36) + (-116)\/(-36). Solve 0 = w*b + 3, 3*r + 1 - x = 5*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = 26*w - x + 167, -2*w + 2*x - 38 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 730, 2904, 6534, 11626, 18186, 26220, 35734, 46734?\n\"Answer: z**3 + 722*z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3327, -13287, -29881, -53109, -82971?\nAnswer: -119467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**4 - 2*w**3 - 42*w**2 + 176*w - 656479?\nAnswer: 8*w**3 - 6*w**2 - 84*w + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36064?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 28*l - 16. Let f be g(14). Is -69\/4 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + 42*n + y - 4, 0 = -y + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/35 of a week in minutes?\nAnswer: 3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 24 = 11. Calculate the remainder when 34*12\/24 - 8 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 5 + 511*k**2 - 3 - 511*k**2 + 2*k to o + d*k**3 + y*k**2 + u*k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, -13, -117, -221, -325?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.949759 nanometers in micrometers?\nAnswer: 0.003949759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223 + -175 - ((0 - -4) + -12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 795715 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13908950*t**4 - 12918*t**2 - 115.\nAnswer: -333814800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -426\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/n*n)**14\/(n*n**(-5)*n\/(n\/((n*n**(-6))\/n))*n))\/(n**(-3\/5)\/(n*n**(-1\/8))*n\/(n**(3\/7)\/n*n)*n**(2\/21)) assuming n is positive.\nAnswer: n**(1657\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5267.675 centuries to decades.\nAnswer: 52676.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*f - 145*f + 40 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -60 + 13 + 21 + -2 + 1 + 6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -24*v**3 - 289*v**2 - 941*v - 221. Let g(a) = 60*a**3 + 723*a**2 + 2352*a + 552. Let w(f) = 5*g(f) + 12*j(f). Factor w(n).\nAnswer: 3*(n + 6)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - a + 5. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -5, -2\/53, 1.2 in descending order.\nAnswer: 1.2, -2\/53, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52381 is divided by 8730.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) + -2 + -2*sqrt(288)))*-5)**2 + (((sqrt(288) + 0 - sqrt(288)) + -3 - sqrt(288))**2 - 2*(-1 + sqrt(288))) + 4.\nAnswer: 2448*sqrt(2) + 29203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/12)\/(1*(-915)\/244).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 2.6. Let o be (14 + -13)\/(3\/(-2)). Let t = -0.35 + -0.15. What is the second smallest value in v, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1049719 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 3 + 24 + -4 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375655 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32260 - 18402. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6701112 rounded to the nearest 10000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 399979 and 1242.\nAnswer: 496773918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 29*y**2 + 48 + 5 - 2 - y**3 + 14 - 12 - 5*y. Is g(27) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65776*x + 65778*x + 3735 - 131553*x)*(-2*x + 2*x + 2*x**2).\nAnswer: 2*x**3 + 7470*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/40 + 11*t**4\/24 - 3*t**2. Find the second derivative of g(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -460*f*m + 1304405*f + 7*m**2 + 8048*m + 17 wrt m.\nAnswer: -460*f + 14*m + 8048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2. Let q(v) = 313*v + 11. What is y(q(l))?\nAnswer: 881721*l**2 + 61974*l + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/3 - 4\/3*u**2 - 8*u.\nAnswer: -4*(u - 2)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b + 1. Let i be w(3). Let f be (15\/5)\/(i\/4). What is the units digit of f\/(-6*3\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c5 - 7bd5?\nAnswer: -7f9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m + m. Suppose -335*h + 334*h = -2. Suppose 0 = 2*i - 2*f - h*f - 172, f - 419 = -m*i. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-174) - 111\/(-18)) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 minus 8996?\nAnswer: -9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5045324 + 2?\nAnswer: 5045330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*4*-3 + 0. Let y(s) = -22*s + 1595. Let p be y(71). Let z be 6 + -8 + p\/o. Are z and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (52 + -14 + 52)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*t + 360*t - 533*t + 91124 = 505*t for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**3 - 428*h**2 - 2954*h - 61481093 wrt h.\nAnswer: 9*h**2 - 856*h - 2954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19138 = -593. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 617 + -430. Suppose 2*i = h - 37. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 844*c**5 - 3*c**4 + 7*c**3 - 2*c**2 + 2*c + 13693 wrt c?\nAnswer: 50640*c**2 - 72*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1827b - -4?\nAnswer: 18283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5) + 4 + -3.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17792)\/(-10008) - 266\/153?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836664069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*c - 8*c + 1490 - 98. Which is smaller: 41 or c?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjjjrjjjjnnjjj. Give prob of picking 2 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - k - 249, a - 1563*k - 66 = -1559*k. Solve 0 = 7*w - 118 + a for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexe when four letters picked without replacement from eqyyqexexeqyxeeqx?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 158. Suppose 7*k = 3*k + f. Calculate the remainder when k is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 145. Suppose 2*w = -2 + 8. Suppose 27 = w*k - 21. What is the highest common factor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2. Let a(r) = 6*r**2. Let y = -8 - 0. Let g = 8 + -13. Let u(x) = g*a(x) + y*k(x). Suppose u(t) = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8500965 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3\/4 - 9*n**2\/4 - 15*n\/2 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*a**2*y**5 - 3*a**2 - 17*a*g + 10*g*y**2 - g*y + 2*y**5 wrt y?\nAnswer: 620*a**2*y**3 + 20*g + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/14 + (99\/(-63) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310533718 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 2, 0, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 19 + 11 - 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-140) + (-36)\/(-10). Let t(h) = h**3 - 3*h**2 + 2*h + 2. Let q be t(2). Put z, q, 5 in decreasing order.\nAnswer: 5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 133043585 and -0.83148.\nAnswer: 133043584.16852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 227878.14 months?\nAnswer: 18.989845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 52\/5*a**5 + 8\/3*a**6 - 7 - 5*a**4 - 88*a**2 - 200\/3*a**3 - 32*a. Let t(y) = 0. Calculate y.\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 28, 0.5, -0.3, 364, 102?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 18 = 30. Let j be -18*(36\/o + 4). Solve 2*p - j = -5*u + 2*u, 3*p + 3*u - 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a**5 - 7*a**3 + 28*a. Let c(w) = -10*w**5 - 2*w**3 + 9*w. Let b(x) = 14*c(x) - 4*i(x). Find the second derivative of b(v) wrt v.\nAnswer: -400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3 + 3)**2 - (sqrt(99)*-2 + -3 + sqrt(99)).\nAnswer: 57*sqrt(11) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-48)\/(-21)) + 3446 + -3426 + (-718)\/(-14).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*j + 2, -17*p + j - 67 = -14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(36\/42)*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - 4 - -1 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvbdvpbjpbvv. What is prob of picking 2 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 55. Suppose 12*q - d = q. Put 0, q, 4, -5 in increasing order.\nAnswer: -5, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 6*f**2 - 8 - 4*f**3 - f**3. Let s(b) = -b**3 - 2*b**2 - 2. Let w = -70 + 43. Let c be 12\/w*(-63)\/14. Calculate c*q(g) - 9*s(g).\nAnswer: -g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4974612927 to the nearest integer?\nAnswer: 70531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) 1 (c) -2.9 (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {j: 5, y: 2, b: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (5 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 36 = -4*j, 2*v - 2*j + 181 = 183 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40921\/276 + 67\/138. Let x = k - 505\/4. Let c = x + -22. Is c greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*a - 3*v + 4, -2*a - v = -9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25*m**2. Let z(t) = 52*t - 5*t - 11*t - 13*t. Give s(z(b)).\nAnswer: -13225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - j**2 - 17. Suppose 5 - 1 = 4*a. Let g be (-6*3\/(-18))\/(a\/2). Suppose -6 = -z - 3*w - 0*w, w - 2 = g*z. What is b(z)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68300192 and 3472?\nAnswer: 478101344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 8 = 2*q - o, -4*q + 32846 = o + 32856 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35321183 or -35321186?\nAnswer: -35321183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85029 and 336.\nAnswer: 1360464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 7*u + u + (-2 + 3 + 2)*(-11*u + 0*u + 0*u).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -81010 to the nearest one thousand.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*m**3 - 49*m**3 + m**3 + 50 - 2*m**3 - 50 + (1 + 3 - 3)*(-m**3 + 3*m - 3*m) to the form l + c*m**3 + r*m + x*m**2 and give c.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211719897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 46*n\/3 - 342.\nAnswer: -(n + 38)*(n + 54)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 1748\nAnswer: -47\/1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1627?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 55101*q - 1272*q**2 - 55101*q - 2)*(0*q**2 + 3*q**2 - q**2) to p*q**3 + m*q**4 + r + u*q + o*q**2 and give m.\nAnswer: -2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = -2*n, -3*n + 1 = -k + 3*k. Let f(a) = -a**2 + 2*a. Let t be f(3). Let h be (3 - (1 + -2)) + t. Is n less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 292*i - 7440. Determine c(15).\nAnswer: -3060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/490422 and -41\/30?\nAnswer: 2452110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (-57 - -40 - -66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187\/4 - 47. Suppose -4*w + 12 = 48. Calculate the common denominator of h and w\/(-5)*25\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 96*d**2 + 768*d.\nAnswer: 3*d*(d - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3420 and 31\/7356.\nAnswer: 2096460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170)*-1 - (3*sqrt(170) - sqrt(170))*1)\/(4*(3*(sqrt(10) + sqrt(10)*-1) - (sqrt(10) - (-1*sqrt(60))\/sqrt(6)))).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 814\/12 + (57\/18 - 3). Suppose 0 = -15*m + 32*m - i. Calculate the smallest common multiple of 273 and m.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 21. Let a be d(-15). Let b = 46 - a. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722991440 rounded to the nearest one hundred thousand?\nAnswer: 723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -9\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -72 (c) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042355 (base 6) in base 11?\nAnswer: -36420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 31. Let g(w) = -w - 2. Calculate g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -31*p - 668. What is the remainder when v(-27) is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48851310 not equal to -48851310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12476 - -12662. Calculate the highest common factor of 21018 and f.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boiz when four letters picked without replacement from {o: 3, h: 3, b: 5, l: 1, i: 2, z: 6}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431796 (base 10) to base 4.\nAnswer: -1221122310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 53288*z**2 - 1974394*z.\nAnswer: 2*z*(z - 37)*(z + 26681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2639482 * 6.\nAnswer: -15836892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three tenths of a millimeter?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*q + 12 = 2*q, -3*d = 5*q - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.19 and -2.\nAnswer: -70.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i + 47*i + 30 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/13202112 and -13\/56.\nAnswer: 13202112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 79*i**5\/60 - i**4\/8 - 2*i**3\/3 - 16*i**2. Let h be l(-2). Suppose -8*x - h = -11*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = 3. Let z(w) = -w**3 - 25*w**2 + 16*w + 59. Let c be z(-26). Suppose c + 111 = r*l. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kddd when four letters picked without replacement from kkdkkkdkkkkd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*p + 11*p**3 - 5*p**3 - 7*p**3 in the form z*p + w + j*p**3 + u*p**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*q**3 - 266*q**2 - 5*q + 215611 wrt q.\nAnswer: -300*q**2 - 532*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0536 - -175035669.267.\nAnswer: 175035669.3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/14 + (2 - 0). Suppose -z*c = 3*s - 302, 2*c = -0*c - 4. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925998 to the power of 1\/2, to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*q - 28, -4*q + 5*q = -3*u - 8. Suppose 2*y - 3*d - d - 56 = 0, -q*y - 5*d + 47 = 0. What is the highest common divisor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, -5, -2, 1165, -4, 4 in decreasing order.\nAnswer: 1165, 4, -2, -4, -5, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0.3 (c) 330 (d) 10 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3029*n**3 - 18*n + 37. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 47*h**2 - 55*h - 301. Let y be p(-48). Solve -y*k + 87 = 227 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 442285 and 6676?\nAnswer: 1769140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35417011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455*r + 42630 = -237*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/4611 and -67\/308868.\nAnswer: 474730116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1756*k - 1723. Let r = -11 + 32. Calculate the remainder when y(-1) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12579590?\nAnswer: 2, 5, 1257959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*r**4 + 3*a*r**2 - 61*r**6 - 4*r**2 wrt r?\nAnswer: -24*a*r - 7320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75164 and -1.\nAnswer: 75164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7369, -30077, -68129, -121525?\n\"Answer: -7672*t**2 + 308*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*m - 18 = -2*u, 4*u + 3*m - 24 = 0. Let x(w) = -3*w + 6. Determine x(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12*(-4)\/(-6))\/(-1). Let f(g) = g**2 + 9*g - 1. Let u be f(c). Let q = u + 13. Solve -2 = -3*i + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 33 + 34 - 2*p. Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - -7 - (-4 + -2224). Calculate the greatest common divisor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 7*f**2 - 9*f - 9. Let n be j(-6). Let p be -5 - -2 - (-4 - 53). What is the greatest common divisor of n and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12301 is divided by 4087?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1424*i**4 - 1094*i**5 + 1093*i**5 - 212*i**4 + (0 - 2*i**5 + 0)*(3 - 3 - 1).\nAnswer: i**5 - 1636*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 911 - 727. Let x = 194 - i. Solve 5*d - 8 = -3*j, 0 = -4*d - j + 2 + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 2.3, -0.06?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5500.8 to the nearest 10.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16480, -16479, -16478?\n\"Answer: g - 16481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:19 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -34*m - 1. Let z be (-2)\/(-5) - (-17)\/(-5). Let j = z - -4. Find the common denominator of -53\/2 and k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, 1\/4, 7, 13 in descending order.\nAnswer: 13, 7, 1\/4, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 9*z = 9*z - 36 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587359, 587608, 587859, 588112, 588367, 588624?\nAnswer: 588883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1817586*t*y**3 + 911979*y**3 with respect to t.\nAnswer: -1817586*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 904241 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 336*b = 5878 - 8230, 0 = -2*z + 4*b - 28 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179, 1320, 1475, 1656, 1875, 2144?\nAnswer: 2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + d = 73, -43*d + 45*d - 122 = -5*u. Solve 13*b = 7*b + u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmrmmtmmbmbib. Give prob of sequence rbhi.\nAnswer: 1\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6246 to 2 decimal places.\nAnswer: -4.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvm. What is prob of sequence mvm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1423, 2084, 1983, 1120, -505, -2892, -6041?\nAnswer: -9952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -2\/53 (b) 588 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.2297 millilitres in litres?\nAnswer: 0.0482297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -432, -434, -438, -444?\n\"Answer: -n**2 + n - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4724, 36 in increasing order.\nAnswer: -5, 1, 36, 4724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340207*q**3 + 473 - 340213*q**3 - 473.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 46*s. Which is bigger: s or -4591?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1324*o**2 - 8896*o - 77580 = 0. Calculate o.\nAnswer: -5, 3879\/331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87286, -174574, -261862, -349150, -436438, -523726?\nAnswer: -611014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g**2 + 0*g + 22*g**3 - 2*g + 1. What is the units digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upq when three letters picked without replacement from pkulckpq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 20*y**2 - 32*y + 233. Let q be u(21). Let z(t) be the third derivative of 0 - 1\/120*t**5 - 1\/4*t**3 - 1\/12*t**4 - 27*t**q + 0*t. Factor z(o).\nAnswer: -(o + 1)*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 12*n - 5. Let k be p(3). Which is the biggest value? (a) -1\/3 (b) k (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 + 0 + 2 + 1. Let h = -19330 - -19332. Let m(d) = -2*d + d + 6 + 2*d. Give h*m(k) - 10*x(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 376*t. Let l(y) = -154*y**2 + 3*y + 6. Calculate p(l(s)).\nAnswer: -57904*s**2 + 1128*s + 2256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*i - 2*i. Suppose -4*r = -t + 3 + 4, 0 = -2*r - 2. Factor 3*h**2 + h**2 - 4*h**t - 2 + 2*h**i.\nAnswer: -2*(h - 1)**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23820506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*((-33)\/4 + 1) is divided by (-21 - -22)*(1 + 14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1 = -11*i + 7*i, 2*u - i - 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k. Let x(u) = 975657*u - 975657*u - 7*u**2 + 1 - 2. What is m(x(n))?\nAnswer: -70*n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 256. Give y(41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -139)*(-1 - (-5)\/(-2)). Let v be p\/6 + (-4)\/12. Suppose 4*u - 57 = v. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 41*m**2\/2 - 64*m - 75. What is the derivative of q(c) wrt c?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 12*s - 1. Suppose -49*t + 3*t + 414 = 0. What is l(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 1780 = -27*x. Put x, 4, 2, 0, -25 in decreasing order.\nAnswer: 4, 2, 0, -25, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92112170 rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -43.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33016 + -21?\nAnswer: 32665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-18)*(-36)\/15. Solve -z*g - 11 = -d, -17*d = -18*d - 5*g - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -44. Solve 3*f - h = -3, -t*f - 5*h + 12 = -h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44302 + 2?\nAnswer: -44300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2806, -10, -2 in decreasing order.\nAnswer: 2806, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(847))**2*-4 - 4*(-3 + sqrt(847)).\nAnswer: -3376 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 144\/(-28) + 5 - 1\/(-7). Let c(r) = -r**3 - 3*r**2 - 2. Let l be c(-3). What is the lowest common multiple of 6 and 1 + (-1 - l) + u + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - 28 = -50*f + 5*i, -5*f - 3*i - 32 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111000000010001100 (base 2) in base 9?\nAnswer: -20612728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 45*c - 60. Let x be g(21). Solve 2*k = y + 2, 3*k + 7 - x = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2448) + 1*sqrt(2448) + sqrt(2448) + sqrt(2448) - (-2 + 0 + sqrt(2448) + sqrt(2448)))**2.\nAnswer: 288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**(-2\/17)\/b)\/b*b**(2\/15) assuming b is positive.\nAnswer: b**(-251\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o. Let l(c) = -8*c. Let v(z) = -6*d(z) - 17*l(z). Let s(h) = 25*h. Let x(n) = -n. Let p(i) = -s(i) - 20*x(i). Calculate v(p(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 16*l**2 + 12*l - 19. Let s be t(-17). Let q be (s\/8)\/3 + (-24)\/(-96). Solve 4*j - 11 = 5, -5*r - 8 = q*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761, 760, 759, 758, 757?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-30)*(-9)\/6*4. Let j be ((-426)\/(-71))\/(3 - 2\/u). Solve j*z + 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79554.31 decades to months.\nAnswer: 9546517.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21407.\nAnswer: 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -386 + 386.3. What is the third smallest value in l, -0.5, 0.07?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 568024756*d**3 - 81723836*d + 1?\nAnswer: 3408148536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1138\/55 - -88\/5. Find the common denominator of r and 36\/607.\nAnswer: 6677","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*x + 300104*k**2 + 6*k*x + 1004*x wrt x?\nAnswer: -2*k**2 + 6*k + 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74762708 and 796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6266981653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.68764 hours in nanoseconds?\nAnswer: 189675504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose -2 = -14*q + 12*q. Sort -1, q, a in ascending order.\nAnswer: -1, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125533910 is divided by 6698?\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-777)\/12765*60\/(-441).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h - 11*h - 6*h - h + 4*h - h + (-h + 3*h - 3*h)*(-1 + 3 + 0) - 4*h + 3*h + 2*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 142 = -3*c, -4*c + 14 + 158 = 2*w. Suppose -5*f + 29 = m, 5*m = 2*f - 4*f + 30. Suppose v + c = f*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*l = -5*a + 761, -4*a + 5*l = -622. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -3, 4*l = 5*z + 36. What is the closest to -2 in 0.1, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/d)**42 assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dccccdccc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 8768915.\nAnswer: 43844575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -18*z + 1083. Give i(64).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.113 * -10.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 5:37 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 - 2*j + 6. Let q be l(2). Suppose -z + 9 = 2*o, -5*z + 3*o + 18 = -q*z. Solve 3*a + 4 - z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilqqiqfqqlfqfqqqiq. Give prob of picking 1 l and 1 i.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 91*v - 30. Give z(-1).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3270 divided by -654\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + -1 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 1265*s**2 - 79375*s + 80645.\nAnswer: -5*(s - 1)*(s + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 277*q**3\/4 - 1095*q**2\/4 - 819*q\/4.\nAnswer: -q*(q + 1)*(q + 3)*(q + 273)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(432) + sqrt(432) + 0 - ((0 + sqrt(432))*-6 + sqrt(432))) + (sqrt(432) - (sqrt(432) + 2 + -2)**2)*5.\nAnswer: -2161 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(33915\/(-306))*14\/(-16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -33 (b) 4\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)\/i)**(-37) assuming i is positive.\nAnswer: i**(407\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002022010121202 - -2?\nAnswer: -2002022010121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -5701873.\nAnswer: -5701870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/24 + 17*c**5\/5 - 88*c**4 + 768*c**3 + 8317. Factor m(j).\nAnswer: -j**2*(j - 36)*(j - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 24*f = 6*u + 8, 3*u + 15*f = 33*f - 23*f + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 3 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102555)\/(-56975))\/((3\/(-155))\/1)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22394484.\nAnswer: 2, 3, 7, 88867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/20 - 153*f**4\/8 + 203*f**3\/4 - 38*f**2 - 4692. Factor j(q).\nAnswer: q*(q - 304)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*q - 176*q - q**3 + 1 - 3 + 341*q in the form y*q + v + g*q**3 + l*q**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18437, -18513, -18589?\nAnswer: -18665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {w: 6, z: 1, y: 3, g: 2, r: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121598.4 rounded to the nearest 100?\nAnswer: 121600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i - 6. Give q(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - 3*x**2 + 3*x**2 + (2*x + 0*x - x)*(2*x**2 - x + x) + (-x**2 + x**2 + 6*x**2)*(-2*x + 2*x + x) as c + d*x**2 + r*x + m*x**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/1564 - 75051\/10948. What is the common denominator of f and (-4)\/12*41\/3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14394220 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 13\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + sqrt(19) + 1 + 1)**2 - (1*(sqrt(304) + sqrt(304)*2))**2).\nAnswer: -5384 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 212*p**2 - 12*p - 5. Let d(i) = 213*i**2 - 10*i - 4. Calculate 5*d(t) - 4*y(t).\nAnswer: 217*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/((-4)\/8). Let q = -20 + 45. Let t = q + -29. What is the third biggest value in t, l, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3366f (base 16) in base 7?\nAnswer: -1534554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 19*m**2 - 15*m - 52. Let i be g(18). Let y be (-10)\/(-45) + (-50)\/(-18). Factor 0 - 4\/3*o - 2\/3*o**i + 2\/3*o**y.\nAnswer: 2*o*(o - 2)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 + 11*g + 66. Let b(c) = 13*c**2 - 45*c - 262. Let i(r) = 2*b(r) + 9*q(r). Let a be i(14). Solve -47*m + 44*m + 6 = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18. What is the biggest value in -5, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 17*r. Suppose 5*t - 19 - 1 = r. What is the third derivative of 41*z**2 - 10*z**t + 2361*z - 2361*z wrt z?\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 7 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 287 = -10*x, -2*x + 849588 = -2*v + 849644 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**4*u + 640*o**4 - 452*o**2*u + o*u wrt o?\nAnswer: 24*o*u + 15360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 6*w**3 + w**3 + 0*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -34341.\nAnswer: 68682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {a: 2, r: 4, z: 1, e: 5, x: 4, q: 4}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -502840*1\nAnswer: -502840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 48403*l + 48407. Let a be x(-1). Suppose -18\/5*s + 36\/5*s**2 + 0 + 4\/3*s**a - 24\/5*s**3 - 2\/15*s**5 = 0. What is s?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/29 in 0.2, 2, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*p - 10 = q, 4*p = 2*q - 8. Suppose 3*k + k - 204 = q. Let d = -9355 - -9372. What is the greatest common divisor of k and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 5*d**2 + 3*d - 3. Let p(o) = o**3 - 10*o**2 - 13*o + 17. Let g be p(11). Let j(i) = 7*i**3 + 9*i**2 + 5*i - 5. Determine g*y(x) + 3*j(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-24)\/(-2310)) + 7\/1. Calculate the greatest common divisor of 147 and w.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -8. Let u(n) = 7*n + 5. Let b(g) = -g + 0*g + 6 + 9*g. Let k(p) = c*u(p) - 5*b(p). Let r(q) = -2*q**2. Give k(r(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 42)*(-2)\/(-1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (sqrt(22)\/sqrt(2) - sqrt(11))**2 - -5*(sqrt(99) + sqrt(11)))*4.\nAnswer: 21 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 461210 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 35\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - (sqrt(972) - -1*(sqrt(972) + sqrt(972) + sqrt(972)*1 + sqrt(972) + sqrt(972))))\/(-6*(1*sqrt(72))\/sqrt(12)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 - 45*g**4 + 600*g**3 - 2000*g**2 = 0. Calculate g.\nAnswer: 0, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 870402439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 149184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/1 + 0\/1. Let p = n - 2. Let o = p - -49. Solve 4*l + l - o = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/50*2*-5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/2 (b) -0.26 (c) 2 (d) -24\/5 (e) 5.62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/3 and 87\/14458?\nAnswer: 43374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 307 = -4*z - 306, -2*b = -4*z - 0*z - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 + 17 - 54*f - 13.\nAnswer: -54*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21097 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 20*u + 14. What is c(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 120 = -2*c - 0*h, h = 3. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -54146*c**2 - 487610*c - 2664 = 0.\nAnswer: -9, -148\/27073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16 - 16 - 2*b. Let p(a) be the third derivative of a**5\/20 + a**2. What is j(p(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {d: 3, f: 2, y: 1, c: 1, e: 1, z: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5726854 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Suppose -5*u + 14 = z, u = -h*z - 4 + 2. Let b(c) be the second derivative of -c**5\/20 + c**3\/3 + c**2\/2 - 2*c - 10. Give b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 11\/26 (b) -22 (c) 0 (d) -3.1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/72*(-268)\/18 and -89\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.21, 4, 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 2, i: 6, k: 1, a: 3}. What is prob of sequence ki?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -140 + (-6669)\/(-351). Is d bigger than -849\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.118 + -0.042. Let i = 1.16 + v. Let n = 1.6 + -2. Sort i, n, -3 in ascending order.\nAnswer: -3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-7) - (-10168)\/28. Suppose 0 = 348*b - p*b + 48. Let 4\/7*y**4 + 0 - 4\/7*y**5 + 16\/7*y**b + 0*y - 16\/7*y**2 = 0. What is y?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -536*b**3 + 57*b**2 + 11*b - 6. Let s(p) = 2*p - 1. Let d(h) = c(h) - 6*s(h). Find the third derivative of d(x) wrt x.\nAnswer: -3216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2084 - -1200. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 - -39.63. Let f = 22 - u. Let l = 19 + f. What is the closest to 2\/5 in -3, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 6404*n**2 + 5126402*n = 0 for n.\nAnswer: -1601, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2977000 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12761300 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 89426364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 1405*w - 5245. Determine d(355).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m. Let k(o) = 3 + 7*o**2 + 11 - 25 + 11. Calculate i(k(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*p**2\/11 + 199646*p\/11 + 9660\/11.\nAnswer: 2*(p + 1610)*(62*p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 + 235*q**2 - 2610*q = 0. What is q?\nAnswer: 0, 18, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let s(r) = -8*r + 5 - 1 + 0. Let m(j) = 12*l(j) + s(j). Let g be -7 + 0 + 6 + -2. Give m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + 14\/(-3). Let x be (-41)\/(-2) + 2\/d. Let l = 39 - x. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1 - 11*u + 8*u + 2 - 7. Suppose 14*o + 84 = -0*o. Calculate l(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*r - 3*q + 32, -3*q - 12 = -3*r. Let j(p) = p**3 - 4*p**2 - 3*p - 18. List the prime factors of j(r).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*j**3 - 2*j**2 + 21 + 12 + 160*j**3 + 19 - j as m*j**2 + u*j**3 + b*j + p and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.860247 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0 - -4 - -3) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - a - 2)*(0*a + 0*a + a**2) + 694*a**2 - 2284*a**3 - 694*a**2 + (-2*a + 0*a + 3*a)*(-a**2 + a**2 - 2*a**2) as g*a**3 + s + k*a + p*a**2 and give g.\nAnswer: -2287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:06 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 2. Suppose 2*z = z - 4*u - 11, 1 = -3*z - 4*u. Suppose 23 = 3*g + f, 4*g - 5*f + 6 - z = 0. Calculate n(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197 and 13987.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6dd + 9d?\nAnswer: 77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/416)\/((-1)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47 and 1476.5.\nAnswer: 1429.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 3*w + 11, -6 + 0 = 2135*j - 2133*j - 2*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 424364 + -424362. Let r = -160.04 + 165. Let m = -0.04 - r. Put h, -6, m, 3 in decreasing order.\nAnswer: 3, h, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(-1)*g\/g**(-10\/7)*g**(-23))**(-9\/2) assuming g is positive.\nAnswer: g**(1233\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Let q(m) = 6 - 3 + 1 - 2 - 2*m. What is 3*a(b) + 2*q(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 2*j**2 + j + 3. Let v(u) = 3*u**3 - 7*u**3 - u**3 + 6*u**3 - 1. Let x(z) = -z**3 + 13*z**2 - 3. Let k be x(13). Determine k*v(r) - t(r).\nAnswer: -2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -6. Let p(x) = -x**3 + 6*x**2 + 2*x - 7. Calculate p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*-5*(-21)\/70. Solve z + 3 = -p*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1.6288 (b) 108 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.4. Let y = 16 + -12. Let u = -312 + 312.33. What is the biggest value in u, y, 3, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)*(0 - 1). Let n = 3 + v. Solve 0*l + n = l + t, -l + t = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260353.\nAnswer: 181, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 g when four letters picked without replacement from kggggvgvgkvvvgkgv.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/185, 3, 3\/2, 7442.7?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 351 + -218. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*z - 111, -6*a + 4*a = z - 41. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -261, 0.6, -1, -14\/5 in descending order.\nAnswer: 5, 0.6, -1, -14\/5, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 7) to base 14\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(6*(-1)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 7*a**2 - 4*a + 5. Let x be y(5). Suppose -2*c = -7 - x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-3)\/(-9) - 113\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/40 + 2*(-12)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 251 = -f + 15 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 5088 = 71*w - 0*w - 31*w for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234272.878 rounded to the nearest 10?\nAnswer: -234270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1.8. Let g = z - -1. Let o = -71\/322 + -3\/46. Which is the smallest value? (a) g (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1309\nAnswer: 5236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 488*h**2 + 5*h - 5. Is 103 a factor of n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q - 5*l = -87*q + 2, 104 = 5*q + 46*l - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.4 + -6.3. What is the nearest to 2 in 0.3, -0.5, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 128*z**2 + 8*z - 8. Let i(o) = -85*o**2 - 5*o + 5. Let l = -8441 + 8436. Calculate l*v(q) - 8*i(q).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 635579473 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 5, c: 8}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4458510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71638, 71666, 71746, 71902, 72158, 72538, 73066?\n\"Answer: 4*s**3 + 2*s**2 - 6*s + 71638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 44. Let q = -6 - -10. Suppose -2*m = -q*m + 28. Solve -n - 3*o = 2, o + 4 - m = -w*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 16) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 17 + 7 = 0, 3*n - 14 = -2*q. Let m be 1\/n*-1*-24. Find p such that 20\/7*p - 60\/7*p**2 - 20\/7*p**3 + 100\/7*p**m - 48\/7*p**5 + 8\/7 = 0.\nAnswer: -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54\/3*116\/6 is divided by -11 - (-540)\/48 - ((-63)\/(-28) + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, k: 3, m: 1, g: 3}. Give prob of sequence mkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-952)\/2720*(-2)\/14.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 2, y: 4, a: 1, h: 1}. What is prob of picking 1 t, 1 a, and 1 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2, w = 4*v - 5*v - 2. Which is smaller: w or -29\/14?\nAnswer: -29\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:39 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 + 7*o + 148. Let n be s(-9). Which is the third biggest value? (a) 5 (b) 19 (c) n (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let d(r) = -r**2 - 6*r + 2. Let u be d(-6). What is the third derivative of -3*j**x + 4*j + j**3 - 4*j + 2*j**u wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -136667*y**4\/24 - y**3\/6 + 2*y**2. Let r be j(-3). What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = w. Let l = -2 - w. Let v be 6\/l - 1\/2. Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -681472 by 1.\nAnswer: -681472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 2*u - 22. Let z be t(7). Is -55 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -41. Suppose 0*u - 2*u + 5*h + 40 = 0, 0 = -2*u + c*h + 38. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12829 - -1399. Suppose 2*l = -3*a + o, -5*l + 2*l = 5*a - 23712. What is a rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 31, 9, -21, -59?\n\"Answer: -4*v**2 - 2*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*n - n + 5, -4*i + 3*n - 16 = 0. Is 176 - (3 + i) - 5 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)\/r)**(1\/27) assuming r is positive.\nAnswer: r**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795759 is divided by 198.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 348?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -509628, -509753, -509960, -510249?\n\"Answer: -41*f**2 - 2*f - 509585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y + 2. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67\/7, 0.3, 1, 0, 2\/11 in descending order.\nAnswer: 67\/7, 1, 0.3, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 12. Suppose q*i + 14400000 = 5*i. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 11220 = -23*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 7, h: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 273 + 504 = 0 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/14 and 67\/(-4) + (0 - (0 - -2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -881.1.\nAnswer: -3524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5816275 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -833513*q**3*z**2 - 707771*z**2 wrt q?\nAnswer: -2500539*q**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 483 and 5.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9061 + 3.9158. Let g = -0.0097 + r. Which is the nearest to 1? (a) 1 (b) g (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4375 + 13026. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(2*sqrt(9)) - sqrt(70)\/(sqrt(60)\/sqrt(6)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 + 1 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 37.9 in descending order.\nAnswer: 37.9, 17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1451, -3228, -5437, -8192, -11607?\nAnswer: -15796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2719005 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjzjccpccgjttcpggpct. What is prob of picking 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0, -291, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-63) - (-6)\/(-14). Is a bigger than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:08 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and (-612)\/(-22) + -4 + 22\/121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93593917133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60363\/2 - -30895. Let h = d - 685. Calculate the common denominator of h and 43\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7*p + 18 = -3*p, 4 = -4*x - p. Let f be (-2 + x)\/((-1)\/1). Solve -5*b + 35 = 2*m + 3*m, -b + f*m = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (20\/(-8))\/(-5). Let y = -0.1 - -1.1. What is the closest to y in f, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*p = 139*p - 480 - 2182. Let c = 142 - 241. Let l be c\/(-10) + 1\/2. Which is bigger: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 18*v + 1074. What is m(-46)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -dca?\nAnswer: -dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 20 = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382.7 + 470234570?\nAnswer: 470236952.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5905 divide 896804160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 18*x + 8 = 0, -17*o + 4464 = -3*x. Solve 8*s = -25*s + o for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 146 - 470 = 0. Let i = 81 - o. Let h = 12 - 7. Are i and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 0 - r**4 + 0 + r**3 + 0 as y*r**3 + p*r**4 + c*r**2 + k*r + s and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-4)\/5 - 5*135\/(-375)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**2\/9 - 4*q\/3 - 14\/9 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3383*b = -3393*b + 1840. Is 170 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 63400 = 3*y - 5*d, 0 = 5*y + d - 79250. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(-18*(-6)\/(-84))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 913506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 4146076.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 2*d + 3*d**3 + 2 - 2*d**3.\nAnswer: 5*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**3 + s**2 - 3*s + 3. Let b be a(1). Suppose -13*h + b*h - 1264 = 0. Suppose 0 = -2*z - 10, -2*z + 3*z = -3*o + h. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -100. Sort 4, u, 3, 5 in increasing order.\nAnswer: u, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -531*x**2 - 35*x - 1070. Let g(l) = 266*l**2 + 20*l + 536. Let r(p) = -4*f(p) - 7*g(p). Differentiate r(c) wrt c.\nAnswer: 524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*t + 129*t - 322623. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22749 - -22761. Let z(c) = -c - 9. Let i be z(-4). Sort i, 3, x in decreasing order.\nAnswer: x, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -716*t - 17182. What is z(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385553829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25266644 to the nearest integer?\nAnswer: 5027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -233*a + 11. Calculate the remainder when 275 is divided by f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 4 (b) 2 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v**2 - 223*v - 1097. Determine f(-9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*j + 4*n + 316 - 920, 3*j - n - 5 = 1 - 1 + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - d + 24 = -3*j - 4*j + d, 0 = 57*d - 399 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320041 + -110?\nAnswer: 1314431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0116032 - -0.006885. Round m to four decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*i - 113*i - 91*i + 417*i - 91*i.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 12. Suppose -5*d + 57 = 5*b - 8, -3*d + y*b + 53 = 0. Solve j = -2*j + d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 11*k**2 - 6*k - 14. Calculate the remainder when x(-10) is divided by (108\/3 - -6) + -5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 97593?\nAnswer: -4\/97593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.80023 + 4.8. What is u rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 42*y**2 - 28*y - 379. Give f(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*l - 42222 = 95*l - 3018. What is the remainder when l is divided by 242?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (5 + 6 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 191 - 189 - (-1 + -4 + 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-6)\/(-10). Let s = 1450.6 + -1452. What is the closest to -4\/7 in -4, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8507, 8502, 8487, 8456, 8403, 8322, 8207, 8052?\nAnswer: 7851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 89 = -r - 266, -5*b + 4*r = -430. Suppose -9*f - b = -14*f. Let p be ((-5)\/(90\/4))\/((-2)\/f). Solve 0 = -3*x + p*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43288 and 1689464?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.02 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99.6295 + -110. Let h = 0.0705 + m. Round h to one dp.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = t - 13113. Suppose -3*p + t = 5*w + 17, -p + 1450 = 5*w. What are the prime factors of w?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from {j: 2, a: 1, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n*(((n\/n**(-24))\/n)\/n)\/n))\/n*n)\/(n*n\/(((n\/(n**(1\/3)*n*n*n*n))\/n*n)\/n)*n*n))**48 assuming n is positive.\nAnswer: n**(-1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -15. Let a = 282 - w. Calculate the remainder when a is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 3. Suppose 4*m = 5*m + 3. Let z be c(m). Sort 2, z, 1 in decreasing order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + 6 + -24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9002\/(-5*4\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 44. Suppose 2*p + n = 41. Calculate the remainder when (11\/(-1))\/(1\/(-4)) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7851 = -48*c + 21*c - 777. Calculate the remainder when c is divided by 238.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215880191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31518004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 46652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1160*g**3*x**2 + 1303*g**2*x**3 - 841*x**3 + 3*x**2 + 4*x + 2 wrt g?\nAnswer: 3480*g**2*x**2 + 2606*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 c when four letters picked without replacement from ssosoccoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827132\/39844*7\/(-3)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288 minus 832995?\nAnswer: -828707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:37 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -52. Suppose r = -s + 141. Suppose -4*m - s = -n - 4*n, 2*n + 2*m = 26. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306351 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**5 + 4*y**5 - 16*y**2 - y**5 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/30)\/((-1)\/(-3)). Let r be (8\/6)\/((-1)\/(-3)). Suppose 3*o - 1 = r*c + 2, -c + d*o = 2. Put -5, -6, c in decreasing order.\nAnswer: c, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.1 (c) 2 (d) -0.6 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7607, -15402, -23411, -31634, -40071, -48722, -57587?\nAnswer: -66666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(30\/(-18)))\/((-468)\/(-24)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - 66 = 0. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z + 16*z**2 - 52*z**2 + 7*z**2 + 13*z**2 + 2*z**4 - 3*z as p + k*z**3 + n*z**2 + l*z**4 + t*z and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*i + 15, 2*i - 7 + 1 = 4*y. Let u = i - -7. Suppose u*r = -2*r + 26. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u + (2 - 5 + 2)*(-3 - 2*u + 3))*(-2 + 1 + 5) - 25*u - 321*u - 305*u.\nAnswer: -639*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104710109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 2*a**3 + 4*a**3 - 52 - 43 + 117.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3517 divided by 5\nAnswer: -3517\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 52*s + 156. Let o be q(-8). Is (1 - 961)\/(195\/o) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9544493 to the nearest 100000.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12050.9424ns in days?\nAnswer: 0.0000000001394785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 3*x - 2. Let o be q(-3). Let z = o - 7. Suppose z = -h + 5*h. Solve h = -2*n + n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 18 - (0 - -6) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.416 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 52 and -143404?\nAnswer: 143456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - -5*(-10)\/75\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r**3 + 19735*r + 6*r**3 - r**4 - 19731*r - 9*r**2 = 0. What is r?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*86.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -45*o**4\/4 + 143*o**3\/3 - 88. What is the third derivative of k(h) wrt h?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 10. Let k(d) = d + 2. Let s be k(5). Let z be a(s). Suppose -4*v - 1 + z = -3*w, -w - 2*v = -6. Solve -w*c + 2 + 0 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.692102 rounded to two dps?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 6 + 5\/4*t**4 + 0*t + 0*t**2 - t**3. Find the third derivative of y(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -95*t**3 + 4*t**2 + 14*t - 30. What are the prime factors of b(-6)?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m + 1. Let r be (-14)\/1*1\/m. Let x(g) = g**2 - 13*g + 11. What is the units digit of x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-3) - 0)\/(-103 + 85). Let o(h) = -h + 1. Let l be o(0). What is the closest to l in 2, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + -7 + -2 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 12*y - 60 in the form r + w*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqyyqqqyqqq. Give prob of sequence yqyy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 6. Suppose 21 = 12*m - 51. Let v(n) = 9*n + 7. Determine m*v(w) + 7*l(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74539339 divided by 119.\nAnswer: 626381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/12 - (-2 + 12\/9). Let t be (-23 + 15)*10\/z. Factor -2 + 10*v**2 + 3*v**3 + 0*v**3 - t*v**2 - 4*v + 13*v.\nAnswer: (v - 2)*(v - 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 8*q. Let n(i) = 5*i**3 - i - 6 + i**3 + q*i + 8*i**2 - 5*i**3. Calculate the remainder when 13 is divided by n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 + 6*g - 2. Let b(a) = 5*a**2 + 11*a - 3. Let v(s) = -4*b(s) + 7*y(s). Calculate v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10122042 and 16842.\nAnswer: 10122042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.76 - -1.73. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21, 1, 12, 57, -13, -2\/7, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -719471042080803 + 4\nAnswer: -719471042080799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 30 - 78. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 - 193. Let o = w + -88. Let g = -27 + o. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = o + o. Let k = -28 + o. What is the units digit of ((-675)\/3)\/k - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 - 756*j**2 + 378*j**2 + 39 - 3*j + 12*j**4 + 379*j**2 + 0*j to b + l*j**2 + s*j**4 + n*j + d*j**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-4)\/2 - -2. Suppose 0*m + 15 = 3*m, 5*m - 21 = -2*b. List the prime factors of 2 - 4*(b - n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 3, u: 1, e: 5}. Give prob of sequence jjje.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + -2 - sqrt(11) - (sqrt(55)*1)\/sqrt(5).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/72*12*1\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.39 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 2*i + 24. Suppose 3*h - 4*j = -22 + 6, j = 2*h + i. Let v be (-2 + 0)*-1*2. Sort h, v, -2, 2 in decreasing order.\nAnswer: v, 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47514, 92341, 137168, 181995, 226822, 271649?\nAnswer: 316476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 13*g - 10. Let j be k(5). What is the highest common factor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**4 - 15267381*b**3 + 56*b**2 + 4*b - 128050 wrt b.\nAnswer: 120*b - 91604286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62031, 62034, 62037, 62040, 62043?\nAnswer: 62046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - -0.2. Let r = 0.021 + 0.071. Let s = 0.008 + r. What is the nearest to s in -0.2, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 268992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 3*x + 15. Calculate the remainder when 223 is divided by l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-5)\/40*10\/1. Suppose -5*s - 435 = -5*f + 10, -m*s + 251 = 3*f. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/(1\/(-20)*4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 15*v**2 - 14*v + 2. Let x be u(14). Solve -x*s = s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**3\/5 + 724*o**2\/5.\nAnswer: -4*o**2*(4*o - 181)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7368208 millilitres to litres.\nAnswer: 0.0007368208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38970616 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwj when four letters picked without replacement from {w: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6397 + -6394. Sort -4\/5, 2\/25, -26, h in descending order.\nAnswer: h, 2\/25, -4\/5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, 551, 1662, 3269, 5402, 8091, 11366, 15257?\n\"Answer: 5*x**3 + 203*x**2 + x - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 8*a + 9. Let x be u(-7). Let i(w) be the second derivative of 1\/12*w**4 - 2*w + 0*w**x + 0 + 0*w**3. Let f(k) = -k**2. Calculate i(f(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10454182 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110000100101010111 (base 2) to base 4\nAnswer: 300211113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438313648?\nAnswer: 2, 27394603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2754 and 79459218.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(54\/12 + -6). Does 16 divide 5 - (p - (-2)\/2) - -93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:29 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 2*p + 2*p + 4*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -100, -150, -200?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 29*n**7\/105 - n**5\/15 + 587*n**4\/12 + 106*n**2 + n + 5. Find the second derivative of j(m) wrt m.\nAnswer: 696*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a6 - 10?\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/285*3 - 5\/(-20). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.189141 (b) 4\/3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005984 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*1*((sqrt(1300) - (sqrt(1300) + (-1 + sqrt(1300) - sqrt(1300))))*3 - -1*(sqrt(1300) + sqrt(1300) + 1)))**2*-1.\nAnswer: 7200*sqrt(13) + 234720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:24 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 9) in base 8?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:09 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 7. Suppose 4*m = 5*m + 5. Calculate u(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tpvhvqhtvehttvtvt. Give prob of sequence tph.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001100001001001101 (base 2) to base 8.\nAnswer: -10141115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109893, 439567, 989023, 1758261, 2747281, 3956083?\nAnswer: 5384667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 12 = -84. Let p be (0 - (8 - -4))*(-68)\/x. Let n(s) = -33*s**2 - 17*s + 17. Let g(u) = -4*u**2 - 2*u + 2. Determine p*g(a) + 6*n(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3.1. Suppose 3688*m = 972*m + 9395 - 2089 + 6274. Put z, 1\/5, m, -2 in increasing order.\nAnswer: -2, z, 1\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 0*v**6 + 9\/2*v**3 + 18 + 0*v**4 - 1\/30*v**5 + 0*v - 3\/35*v**7 - v**2. What is the derivative of m(q) wrt q?\nAnswer: -72*q**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 12*q + 5. Let o be a(4). Let r = -8 + o. Let j(g) = 2*g**2 - 5*g + 6. Let u be j(4). Calculate the greatest common divisor of r and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16368 is divided by 16246?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - (0 - (-13)\/(-3)). Suppose w - r = 5*d, -5*w + 2*d = -0*d - 71. Suppose 75 - w = 2*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -22. Suppose 10 = 2*q, s + 2*q - g = 6. Let p be 9008\/6 + 4\/s. Round p to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -631509, -631510, -631511, -631512, -631513, -631514?\n\"Answer: -n - 631508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43418 and 16388?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g + 6 = -0, 16 = 4*w - 2*g. Calculate the remainder when (((-273)\/12)\/(-7))\/(1\/16) is divided by w\/((-24)\/(-9) - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -5, 30.25, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + 113 + -2. Let u(w) = -2*w**3 - 197*w**2 - 3084*w - 200. Let z be u(-79). Calculate the highest common factor of v and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76314015409 - -0.1?\nAnswer: 76314015409.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**4 - 3*y**4 - 1 - 18*y**3 + 10*y**3 to the form c*y**4 + z + m*y**3 + i*y + u*y**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 12*p - 2. Let o be m(6). Let c(w) = -3*w**3 - 3*w + 9. Let s be c(2). Let q = s + o. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*sqrt(208)*5.\nAnswer: -240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-16)\/12)\/(70\/(-3)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Suppose 5*w = -r*b + 20 - 2, 4*b = 4*w. Solve 0*z - 2 = -b*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459448.\nAnswer: 2, 11, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 24. Let p = w + -10. Solve p*r + 17 - 1 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*z**3 + 3*d**3*z - 31*d**2*z - d**2 + 7799*d*z**4 + 929*z wrt z?\nAnswer: 12*d**3*z + 93588*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*28\/(-189)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 28*n + 3*n)*(-3 - 2 + 3)*(-7 - 8 - 5).\nAnswer: -960*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12163\/7 + (-13)\/(182\/(-6))?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.63 + -2.5627. Round j to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450738532?\nAnswer: 2, 29, 3885677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 2*j**2 + 2*j - 1. Let l(n) = 138*n**3 + 10*n**2 - 9*n + 7. Determine l(k) + 5*y(k).\nAnswer: 133*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 840199 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = 2 + 24. Solve x*h = f - 3, -5*h - 22*f = -20*f + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:07 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1547316 and 144.\nAnswer: 6189264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 31 = 8*t + 56 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.4 (c) -15431 (d) 3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vozmnos. What is prob of sequence no?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 608*i - 327*i - 346*i - 51 wrt i?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1172.\nAnswer: 117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(75)*-2 + 0 - (0 + sqrt(75))*2)**2.\nAnswer: -6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 41431?\nAnswer: -41441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u + 4. Suppose -x + 3 = u*p - 4, -p + x + 8 = 0. Solve -3*q + p*q - 10 = 0, -q = 4*m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 36 = 5*y. Suppose u + 598 = y*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -5 (c) 3 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 + 4*i + 3. Let p be o(-3). Is (-1)\/(10100\/10102 + -1 + p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -93. Let s(a) = 2*a - 1. Let x be s(3). Let q(k) = 0*k**2 - 5*k**2 + 14*k**2 - x*k + 5. Let h(g) = 14*g**2 - 8*g + 8. Give u*q(f) - 5*h(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2 + 110742*d - 13446 wrt d.\nAnswer: 2*d + 110742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:15 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7159 + -5577. What is the remainder when i is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**9\/12096 - h**8\/1344 - h**7\/336 - h**6\/144 + h**5\/10 - 18*h**2. Let o(y) be the third derivative of w(y). Factor o(l).\nAnswer: -5*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubz when three letters picked without replacement from {z: 1, b: 5, v: 1, u: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/54 and 82\/63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2947 divided by -609248\nAnswer: -2947\/609248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -27, -0.1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29463 divided by -5175\nAnswer: 427\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 - 286. Let p = -21.977 - 0.023. Is p <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26287083217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 21 = 23. Let c = p + 1. Let r be 1\/(-6) - 58\/c. What is the nearest to -1 in 0.1, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 343?\nAnswer: 3773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -139. Suppose -2*u - 4*a + 114 = 0, -2*u + 5*a + 26 = -g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1144, -2774, -5458, -9196, -13988, -19834?\nAnswer: -26734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322812 divided by -46116?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.6, 1485, -2, 5\/2.\nAnswer: -2, -1\/2, 0.6, 5\/2, 1485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = 7*c - 6*c, 0 = -5*r - 2*c - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 54372 - 54356, -3*o - 12 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 + 1417508*o + 3516325627612.\nAnswer: (o + 4961278)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 42 and 3237\/76 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from lgggllllglgggggllll?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16248)\/48528 + (10\/(-15))\/(-2). Which is the biggest value? (a) x (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -2\/9 (b) -1\/3 (c) 0.2 (d) -5\/2 (e) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**4 - o**3 - o + 1. Let g(c) = -21*c**4 + 24*c**3 + 18*c - 24. Let q(d) = -3*g(d) - 72*r(d). Find the second derivative of q(f) wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124990737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060917 is divided by 621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1 + 3 - 5 - 3*m. Let p be b(-1). Suppose -3*y + 3*o + 21 = 0, -y + p*y - 32 = -4*o. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13889441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 219*q + 97*q - 123 as a*q + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87922 is divided by 14647?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 34, 50, 68, 88?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxvvnvxvvnvv. What is prob of picking 2 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*q**3 + 148*q**2 + 12*q + 14298147 wrt q.\nAnswer: 171*q**2 + 296*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1857492?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 9394796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 21 + 19. Let i be (-4 + j)\/92*2. Let f = -1.024 - -0.024. Put i, 1\/5, f in increasing order.\nAnswer: f, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-24)\/9 + 3). Let j be 322\/(-21) - 1\/v. Let h be ((-4)\/3 - -1)\/(1\/j). Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 4 - 10*s**2 + 33*s**2 - 4*s**2 - 6*s**2.\nAnswer: s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 43*k - 8. Let d(o) = 5074*o - 946. Let z(p) = 4*d(p) - 473*t(p). Let f(a) = -2*a**2. Calculate z(f(m)).\nAnswer: 86*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-65)\/8) + 2\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 2 = 0. Suppose -13 = -f*h + 1. What is the smallest common multiple of 2 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697 + (-6)\/((-6)\/(-7)).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3622338*i**4 + 3*i - 3497259 wrt i.\nAnswer: 43468056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3 - 2*m + 8*m**3 - 3*m**3 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**9\/126 - 7*h**6\/8 - h**5\/3 + h**4\/24 + 808*h**2. Find the third derivative of u(y) wrt y.\nAnswer: 480*y**3 - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n**2 - n + 1. Let t be x(1). Suppose -95 + 11 = -7*a. Let v = t - a. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17009705 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -20*k**2 + 574*k - 36. Determine g(29).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*g = 94*g + 36465. What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577, 1328, 2255, 3358?\nAnswer: 4637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 21*v - 36 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**7\/2 + 25*m**5\/12 - m**4\/12 - 12*m**2 - 4. Find the third derivative of q(n) wrt n.\nAnswer: 2520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/10*m**3 - 1\/10*m**2 + 1\/5*m.\nAnswer: -m*(m - 1)*(m + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152344.3ms in minutes?\nAnswer: 35.872405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13440, 13683, 14090, 14661, 15396, 16295, 17358?\nAnswer: 18585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1011110111011?\nAnswer: -1011110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 4. Let w be k(4). What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -12. Put 0, 8, n in increasing order.\nAnswer: n, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*v - 103*v + 925365 = 142*v. What is the greatest common factor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -o - v + 6*v, 44*v - 301 = -125 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9647 is divided by 1063?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2840*g - 2*y + 24 = -2844*g, 0 = 5*g + 4*y + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -0*a. Let c be (a\/(-2))\/((-6)\/16). Let i be (-44)\/(-55)*2*5. Solve 0*t + i = c*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)\/(h*h**0))**44)**(-1\/8) assuming h is positive.\nAnswer: h**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3\/q)\/q**(-2\/7))\/(q**(-2\/7))**14)\/((q\/(q*q*((q**0\/q)\/q)\/q*q)*q**5)\/(q**(-6)\/(q\/(q*q*q\/(q\/(q\/q**(-2\/3)))*q)))) assuming q is positive.\nAnswer: q**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/9 - d**2\/6 + 7. Determine x so that f(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/15*2)\/((-48)\/5800). Is 48 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -118785, -118637, -118491, -118347?\n\"Answer: -y**2 + 151*y - 118935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 2:35 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/4 + c**4\/6 - c**2 - 6. Find the second derivative of j(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -85*k - 848. Calculate j(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n + 43. Let p be ((-6)\/(-8))\/((-3)\/n). Calculate the greatest common divisor of 22 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696059?\nAnswer: 7, 13, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196555468.\nAnswer: 2, 5557, 53831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7083, -2, -74.\nAnswer: -74, -2, 7083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*s - 8 = 0, 5*l - 12 = 2*l - 3*s. Put -19, -7, l in descending order.\nAnswer: l, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r**2 - 32*r + 20. Let y be j(-10). Let p(z) = 40*z - y*z + 31*z. Let f(g) = 26*g**2. Determine f(p(l)).\nAnswer: 234*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 2, -3, 275, -332, 5 in descending order.\nAnswer: 275, 5, 2, -3, -5, -6, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36795, -36899, -37003, -37107, -37211, -37315?\nAnswer: -37419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 82627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 33, 0, 3, -1, 13 in decreasing order.\nAnswer: 33, 13, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00233351 to 5 dps.\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1197*x. Let l(h) = -69*h**2 - 70*h**2 - 68*h**2 + 270*h**2 - 65*h**2. What is l(c(t))?\nAnswer: -2865618*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-22)*34\/(-17)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4400110 and 76670?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2 + 1)*8\/20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-15) - 4\/10. Let o(d) = d**3 + 4*d**2 - d - 9. Let g be o(-2). Sort b, g, -3 in increasing order.\nAnswer: -3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 32*y**2 - 54*y**3 + 44*y**3 + 11*y**3 as q*y**2 + k*y**3 + n*y + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(sqrt(7) + -1) + sqrt(7))*-2*-4 + 4)**2 + 1.\nAnswer: -25344*sqrt(7) + 81937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**3*t + 6*g**3 - 167*g**2*t - 11772*g + 6*t + 1 wrt g?\nAnswer: -78*g*t + 36*g - 334*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 0, v - 3*v = y - 31 + 45 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 43 = v, -5*v + 24 - 89 = -5*o. Suppose -o*k = -357 + 47. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 74 = k, 6*k + 3*p + 210 = 3*k. Let a = k - -20. Let z be a\/(-22) - 6\/33. Solve -z*o + 1 = 5*u, 0*o - o = 3*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullellbll. What is prob of sequence llu?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2456354850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 293*i**3 - 360*i**2 - 4*i. Let h(p) = 293*p**3 - 361*p**2 - 5*p. Let q(j) = 4*h(j) - 5*z(j). What is the third derivative of q(n) wrt n?\nAnswer: -1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**3 + t + 2. Let p(n) = -14*n**3 + n**2 - n - 6. Let y(f) = -5*b(f) - 2*p(f). Let g(s) = 2*s**3 + 2*s**2 + 3*s - 2. What is -4*g(k) - 5*y(k)?\nAnswer: 2*k**3 + 2*k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:14 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 147901.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**19\/(c**(7\/3)\/(c*c**(-2\/11))) assuming c is positive.\nAnswer: c**(-50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5547550*r*v**2 - 4*r - 1821947 wrt v.\nAnswer: 11095100*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446*z**2 + 1094*z**3 + 3375278*z - 3375278*z wrt z.\nAnswer: 6564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761481*x + 761463*x = -36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13.8 + 799.4778\nAnswer: 785.6778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 211, -2\/7, 0.138 in ascending order.\nAnswer: -2\/7, 0.1, 0.138, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:26 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 303595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (-19)\/42 - 2 and 82\/36 + (-36)\/(-162)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbtbbbt?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1000)\/(-6125))\/(3*4\/(-42)))\/(1\/154).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 + -228.3. Let t = 55\/149 + -60377\/894. Let m = t - -67. Which is the second biggest value? (a) k (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - 0.39. Let i = 0.9 + n. What is the closest to 1 in -0.4, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 841511 and 3729?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1928513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 29, -2, -69, -184, -359, -606, -937?\n\"Answer: -2*g**3 + 7*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 2*t + 2*t)*(-3 + 6*t - 4*t - 7).\nAnswer: -4*t**5 + 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19296 and 30377.\nAnswer: 49673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2145028531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0 + 0*y**2 + 5\/2*y**3 - 17*y. Let s(a) = 2*a. Give q(s(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t**2 + 930*t + 7814. Determine j(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -22*j + 4. Let d be (-8)\/(j\/12*3\/2). Let g = d + 114. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 23*i + 23*i - 2913342. What are the prime factors of i?\nAnswer: 2, 3, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3371\/70 + 398\/7. Calculate the common denominator of -45\/22 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 4*m + 11*v, 5*v - 30 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.12 (b) -26 (c) -4 (d) 1 (e) -6\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1223 + 1114.3. Round b to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1177592237, 1177592239, 1177592241?\n\"Answer: 2*f + 1177592235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*q + 10*l, 4*q - 4*l + 10 = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 5, 2\/3, -1\/13827?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 7 = -2*v, 4*w - 6*w = v. Let s be (3 - v)*-4*(3 - 2). Let z(n) = -n + 3. Give z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 - 8*s**2 - 17*s + 44. Let u be l(10). What is the greatest common factor of u and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5040 and 4032?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-16)\/(-12))*2. List the prime factors of s - 1\/(-1) - -27.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 126*n + 124 + 12 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 15*n - 6*n - 5*n in the form p + q*n and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 1 - 4 - 63*n**4 + 50*n**4 wrt n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-49 - -88 - 10)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.5853ug in nanograms?\nAnswer: 433585.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25169987 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 2. Let q be d(2). Suppose -q*v = -10 - 14. Let s(k) = k**3 - 8*k**2 + 8*k - 5. Let m be s(7). Solve -m*j - v = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/97 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 5*q + 35, -5*j + 40 = -2*q. Let z = j - 8. Let a(x) = -1525*x**3 + x**2 - x - 2. Let k be a(z). What is k rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/32)\/((-10)\/(-8))*1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*o**2 + 4 - 123*o**2 + o**3)*(o**2 + o**2 - o**2) + 0*o**5 - o**5 - 3*o**5.\nAnswer: -3*o**5 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 222240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, -4\/7, -0.01, -4 in increasing order.\nAnswer: -4, -4\/7, -1\/19, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 3, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 6) to base 15\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 101 - 133 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 13*h**3 - 3*h**3 - 36*h**2 + 7 + 6 - 35 + 38*h + h**4.\nAnswer: (h - 1)**3*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, -0.2, 3, -0.05, 39724?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c34 + 5b?\nAnswer: -bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*d + 15184 = 1084*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13190140 by 5620.\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351 - -4?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-2))\/3*2976\/(-46512). Let w = k + -6\/323. Find i, given that -2*i + w*i**2 + 5\/3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(242) + 2)**2 + -4.\nAnswer: -44*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469204344?\nAnswer: 2, 183650543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 33956095.\nAnswer: 101868285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52.9069 hours?\nAnswer: 3174.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 + 2295*o**3 - 24740*o**2 + 44640*o + 71680 = 0. What is o?\nAnswer: -1, 4, 8, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -13*x**6\/120 + 13*x**5\/60 + 2*x**2 - 14. Let r(m) be the second derivative of j(m). Find the third derivative of r(s) wrt s.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1240 and 4813680.\nAnswer: 4813680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 15. Let b be i\/(-28)*16\/6. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 - 10 = -0*x - x + 5*u - 3, -2*u = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) 2\/11 (c) -2 (d) -0.4 (e) 3\/4 (f) -111\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**3 - 1180*m**2 + 768*m + 392. Let q(h) = -33*h**3 + 4718*h**2 - 3073*h - 1567. Let g(a) = -15*p(a) - 4*q(a). Factor g(d).\nAnswer: 4*(d - 97)*(d - 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03668 * -0.4\nAnswer: 0.014672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 1\/24*h**4 - h**2 + 2*h + 1\/6*h**3. Let m(v) be the first derivative of k(v). Differentiate m(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 + 2.3. Let b(c) = -c**3 + 2*c**2 + 1. Let x be b(2). Let p = 0.07 + 0.03. What is the closest to x in p, -2, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*n - 487, 0 = -15*d + 18*d - 4*n - 720. Calculate the remainder when 864 is divided by d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -130.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694913 is divided by 347421?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 23. What is the remainder when 48 - (1 - g)*-2 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + (-38)\/(-20))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -15, -33, -61?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*s + 8 = -3*v, -2*s = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from asgaslsxzxag?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 59, -0.0498, -80.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3827 to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ldggdfgdqlgdlg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 2*x**4 + 6*x**4 + x**3 - x**3 + 2*x**4 + (-2*x**2 - x**2 + 4*x**2)*(-3 + 2*x**2 + 3).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85.94909 - 0.05091. What is the smallest value in -9, o, 5, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -74. Suppose 0 = r - 0*r - 2. Put z, 2\/11, r in descending order.\nAnswer: z, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**6\/120 + 2*t**5\/15 - 11*t**4\/24 - t**3 + 23*t**2\/2 - 2*t - 98. Let c(m) be the second derivative of w(m). Give c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**2 + 9*v + 9. Let c(n) = 5*n**2 - 5*n - 4. Let k(s) = 5*c(s) + 2*g(s). List the prime factors of k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10488.835 to the nearest ten.\nAnswer: 10490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:20 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*h - 1189, z = 7*h - 2*h + 316. Suppose 0 = 8*r + 67 - z. What is the greatest common divisor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-7) - (-7 + 4) and -2\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 - 226*y**2 - 5404*y**5 + 5404*y**5 - 48*y**3 wrt y.\nAnswer: -240*y**3 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -213244, -213238, -213232, -213226?\n\"Answer: 6*i - 213250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 42*j + 94. Calculate the remainder when 49 is divided by u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 26988. Let g(n) = -111*n - 2. Give g(k(w)).\nAnswer: 222*w - 2995670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p. Suppose 0 = -5*v - 5*q + 115, 2*v + 2*v - 4*q - 52 = p. Calculate the smallest common multiple of 5 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(-31)\/((m\/(m\/m**5))\/(m*m**(-7))) assuming m is positive.\nAnswer: m**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 50*w**2 + 7*w - 5. Calculate the remainder when x(1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 29. Suppose 7 = 5*z + 2*z. What is the closest to -0.5 in z, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 66*v + 278. Let d be c(9). Put -5, -8, 4, d in ascending order.\nAnswer: -8, -5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66325085479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let w(r) = 41*r - 2. Let t(d) = -2*c(d) - w(d). Let g be t(1). Let k = 94 + g. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (9\/12 + 870\/120)*(14 - 8)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40217.\nAnswer: 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 134, 129, 124, 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7910679663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (1 + -7 - (49 + -58)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*-2*sqrt(156))\/sqrt(12) - sqrt(91)\/(sqrt(42)\/(sqrt(24)\/sqrt(4)))) + -5)**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 1. Let x(v) be the third derivative of 0 + 0*v + 2*v**2 + 1\/6*v**3. Suppose 2 = -2*w + w. What is w*d(i) - x(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99371.94 litres?\nAnswer: 99371940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -3) + 4 - (14 + -35 + -29).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 77406.\nAnswer: -309624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let g(p) = -2*p + 25. Let l be g(11). Let c(x) = 4*x**2 - l*x + 2 + 3*x + 2. Determine c(h(i)).\nAnswer: 16*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 10, -3*y = 129*k - 125*k - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 63*n**2 + 26*n - 222. Let q be h(-32). Let u(j) = -j**2 - 26*j + 64. Determine u(q).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + -8 - 132*-6. What is the remainder when 58\/203*(-2 + n) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 33 = 12*d. Let j = d + 41. Let u(v) = v**3 + 6*v**2 + 5*v + 1. Let s be u(-5). What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*m + 10. Let h(p) = -4*p - 12*p**2 + 10 + p + 15*p**m. What is the tens digit of h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6*12\/4. Let d(z) = 5*z + 7. Let k be d(f). Suppose 0 = i + 2*u - 127, k*u + u + 3 = 0. List the prime factors of i.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o + 129*o**5 + 91 - 87 + o wrt o?\nAnswer: 2580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16 * 289.64.\nAnswer: -335.9824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k + 2. Calculate the common denominator of -3 + -2 - 580\/(-56) and 834\/(-264) - (k + -2).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/7 + -3 - (-414)\/(-161). Put 4, k, -2, -5 in descending order.\nAnswer: 4, -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 119*m + 128. Give t(38).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 6*j - 91. Give z(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 308357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 5)*(-4*o**4 + o**4 - 3*o**4) + 3 - 2*o**4 - 3 as p + q*o**2 + k*o**4 + i*o + b*o**3 and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 13*v + 6*v - 55*v + v**2 + 19*v + 2. Let s be l(17). Solve s*d = -3*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -22. Suppose 2*q - f = 6*q. Is (-148)\/(-3) + q\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from aaeeahceazhjjeehjjh.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -a. Let o(d) = 6*d - 28. Let p(u) = 12*u - 56. Let g(s) = -13*o(s) + 6*p(s). Let c be g(a). Solve 0 = 5*k + 5*n + 15, c*k + 11 = k - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = x - 3*f, -3 = 3*f. Factor -16*n + 8 + 18*n**4 + 48*n**2 - 4*n**2 - 48*n**x - 6.\nAnswer: 2*(n - 1)**2*(3*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.591 - 0.768. Let m = w + 0.0386. Round m to 3 dps.\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**2 + 4*l**2 + 48*l**2 + l**2 - l**2 + 5*l**2 + (-3*l + 5*l - l)*(0*l + 4*l - 3*l).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:38 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22621560 and 14138475?\nAnswer: 113107800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 9 + 13. Suppose 3*w - 5*i + 29 = -0*w, -5*w = -s*i + 23. Let o be (36\/8)\/(w\/(-2)). Solve -o*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g + 13. Let c(d) be the first derivative of -3*d**2 + 3*d + 3. Let x(a) = -9*c(a) + 2*n(a). Let h = -10 - -9. What is x(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 78515933397528.\nAnswer: -78515933397525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(3*sqrt(4)\/sqrt(2)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 4149, 14264, 34111, 66966?\nAnswer: 116105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 1)*(-1 - 5 - 2)*(0*t + 2*t**4 + 0*t).\nAnswer: 96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*q + 3*n - 25, 4*n = -q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.108 + 221138110.\nAnswer: 221138109.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*y = -93, y + 3*y = 3*u - 87. Let t = 59 - u. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 + 5*y + 2 + 2*y + y**2 - 9*y.\nAnswer: (y - 4)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/74341 and -29\/170.\nAnswer: 743410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101167 - -4957705\/49. Does 12 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -502.\nAnswer: 3\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1741 and 15.\nAnswer: 26115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - f + 576 = 2*f, -3*z - 5*f + 566 = 0. Let n = z - 1573\/8. Let t = 0.6 - -0.4. What is the third smallest value in t, -1\/2, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1217*-4*6 + -8. Suppose f = 6*p - 22454. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 7) to base 16\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-10)\/(-30)). Let u(y) = -4*y**2 + 6. Let t(d) = -d**3 - 8*d**2 + d + 13. Let s(b) = g*t(b) + 5*u(b). Factor s(v).\nAnswer: 2*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 + 188*o**2 - 10*o**3 - 53*o**2 - 78*o**2.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1914 and 6.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 3, c: 1, k: 2, w: 4, d: 2}. What is prob of sequence uau?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*a + 27 = -79*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 23839?\nAnswer: 858204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/2 + p**3 + p**2\/2 + 2*p - 54. Calculate v(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843024 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9479695 is divided by 5547?\nAnswer: 5419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 381 = 2*q, -q + 0*p - 3*p - 195 = 0. What is q rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2)\/f)\/(f**(2\/9)*f)*f**3*f*f*f*f**(-4\/13)\/f*f assuming f is positive.\nAnswer: f**(289\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 12*l + 35. Let t = -163 + 155. Let b be d(t). Solve -b*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2557, 586, -0.2 in ascending order.\nAnswer: -2557, -0.2, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 39*w**2 - 38*w - 395. What is r(-19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 4}. What is prob of sequence dxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 times -18?\nAnswer: 7614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 160 = -45*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - a427?\nAnswer: -a435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.4, 0.105, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 2 i when four letters picked without replacement from {i: 2, l: 1, d: 1, k: 5, c: 5, g: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6131 in 2.49, -2\/13, 77, -2\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150647942?\nAnswer: 2, 37, 53, 71, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {s: 4, q: 6, b: 2, w: 4, g: 2, h: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18271065184409 and -0.2.\nAnswer: 18271065184408.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*k + 8. Let j be 4*k*10\/(-8). Suppose -5*d = -j*d + 160. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388\/199*2*4\/216?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5129 in 0.3, -5\/4, 3\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001141082 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 5 - 3*m**2 - 5*m + 8. Suppose -9*n + 8*n = -2. Suppose 2 = -q - 1, 6 = n*o - 4*q. Determine t(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/495 and 71\/71865.\nAnswer: 790515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 153 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -228.8, -1\/3 in decreasing order.\nAnswer: -1\/3, -1, -3, -228.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((6*sqrt(156)\/sqrt(3))\/(5*sqrt(4)*-2))**2 + (-1 + (sqrt(78)\/sqrt(6))**2)*-5*-1).\nAnswer: 3234\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 201. Let c = -40.6 + u. What is the smallest value in 4, -0.1, 0.17, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 2*c, -5*k + 3*c = -52. Let v = k + -3. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiczziizzjzziczozaij. What is prob of sequence oz?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 4128.\nAnswer: 4128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 38 = -2*i + 4*y, 5*i + 2*y - 44 = 0. Suppose f + 3*c + 14 = 7*c, f = 3*c - i. Find the second derivative of -a + 2*a - f*a**3 + a**3 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 = -3*m, 13 = z + 4*m + 4. What is the common denominator of (9\/(-42))\/(z\/(-255)) and 53\/(-16) - (0 + -2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72)*-2*-2)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8848 divided by 175.\nAnswer: -1264\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627544 less than -0.129439?\nAnswer: -627544.129439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 6*c**7\/7 - 2*c**3 + 4. Find the third derivative of z(j) wrt j.\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i**4 + 3963*i**2 - 15352 wrt i?\nAnswer: -16*i**3 + 7926*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 6*g - 6. Let h be t(4). Suppose 48 = h*z - 1190. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 4, 1\/2, -1, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9027 and 1683?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1077 (base 13) to base 10\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*v - 5 - 8 = 0, 2*v + 4 = 3*l. Suppose 6*p = 4*p + 6. Solve l = j - p*a + 16, 3*a = -4*j - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:59 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 2 k when four letters picked without replacement from {y: 4, s: 2, p: 1, k: 2, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, o: 9, n: 6}. Give prob of picking 1 n and 2 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101001 (base 2) to base 9.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 694 - 149 - 156 - 141 - 248.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1434530 and 93\/2338.\nAnswer: 10041710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**3 + 41*m**2 + 18*m + 32. What is t(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 16*d**2 - 11*d + 39. Let q(j) = -j. Let y(x) = 5*x**2 - 2*x + 13. Let u(w) = -2*q(w) - y(w). Let o(k) = -4*n(k) - 11*u(k). Differentiate o(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 2*p - 76 = -37*t, -4*p - 4 = 0. Solve -43*c - 51 = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(500)*-3 + sqrt(500) - sqrt(500)))*-5)**2 + 5 + sqrt(1280) + 0.\nAnswer: 6016*sqrt(5) + 112905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 539\/(-35) + 9\/(-15). Let a be -1 - -1*r\/(-2). Suppose a*m - 21836 = -156936. Round m to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1090, -2192, -3288, -4378?\n\"Answer: 3*o**2 - 1111*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from {p: 2, z: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -10. Let z be x\/9 - (-2)\/3. Suppose -6*f + 2588 = -z*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2*a, -2*n + 3*a = -a + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 98. Suppose -2 = 5*j - l. Solve -j*k = 3 + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(28\/(-96)))\/((-122)\/43371) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -3, 9, -4, -1, 7.\nAnswer: -4, -3, -1, 7, 9, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 2*x - 10 - x + 0*x - 2*x + (-2 + 0 + 4)*(2 - 2 + 2*x) - 4*x + 3*x - x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143651, 287441, 431367, 575429?\nAnswer: 719627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/31032 and 35\/12271432.\nAnswer: 110442888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:03 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11818, -10146, -8474?\nAnswer: -6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 2771?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5046 divided by 6\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*u - 527 = 4*u, 5*u + 303 = 3*w. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8\/(-20)*(63 - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1945 + -1950. Suppose -2 = 3*w + 5*y - 14, 5*y = 2*w + 17. Sort 3, t, w, -11 in descending order.\nAnswer: 3, w, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5530*n**5 + n - 4578 wrt n.\nAnswer: 110600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v - 54*v + 137*v + 6*v**3 - 31*v - 3*v**3 - 31*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 2, b: 2}. Give prob of picking 3 y and 1 u.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 21*y + 2. Let c be a(-7). Let v be ((-21)\/28)\/(3\/c). What is the third derivative of -16*l**6 - 12*l**6 + 25*l**2 - 30*l**2 + v*l**2 wrt l?\nAnswer: -3360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -67. Suppose -6*c + 16 = -4*c. Suppose -x + c + 18 = 4*l, -2*x - 8 = -4*l. What is the highest common divisor of x and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (-3)\/(-3) + 3. Suppose 0 = 8*j - 397 - x. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 0*t**5 - t**5 + (-5*t**3 + 2*t**2 + 0*t**2 + 3*t**3)*(-9 + 9 + 8*t**2).\nAnswer: -17*t**5 + 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**2 + 2*k**3 + 54*k + 2*k**3 + 5*k**2 - 23 - 5*k**3 + 3*k**2. Does 14 divide b(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*o = 2, -5*o + 7 = 3*r - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 633*k**3 + 2*k**4 - 9 - 2*k - 323*k**3 - 309*k**3 + 4*k**2 as o*k**3 + d*k + q*k**2 + m + x*k**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) 24 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and -25\/202904.\nAnswer: 202904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 12818356?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -44\/5, -2611, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -584 - 2?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194743 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: Which is smaller: 3 or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/10 - 9*r**5\/20 + 2*r**3 + 29*r - 40. Let g(l) be the first derivative of n(l). Factor g(d).\nAnswer: 3*d*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/22 (b) -4 (c) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h - 228. Let y be j(-14). Let s be (4\/y)\/((-2)\/4). Let c(l) = l**2. Let u be c(2). Sort u, 3, s in increasing order.\nAnswer: s, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:31 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let c(j) = 6*j. Let q = -3863 - -3867. Calculate q*c(a) - 27*u(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 - -5. Let n = -0.7 + -1. Let o = i - n. What is the smallest value in -3, 4, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 - -64)*(-1623)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 13821836*p - 143282362808172.\nAnswer: -(p - 20732754)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 4*s + 2. What is the units digit of n(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*3192\/(-62510).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -2.4. What is the smallest value in 15, -4, 2, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 33 - 107*v.\nAnswer: -107*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -565600 divided by -14140?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19663809.03975 - -4.9.\nAnswer: -19663804.13975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -3272, -7358, -13078?\nAnswer: -20432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 54. List the prime factors of (0 - b\/6)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 - -1.09\nAnswer: 3.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-2)\/7)\/(-2). Let a = -0.6 + 1. Sort 3, a, z.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 221, 323, 409, 473?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 7*t - 7. Let u(i) = 5*i**2 - 6*i + 6. Suppose q - 4*s + 18 = 4*q, -4*s = 0. What is q*n(x) + 7*u(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 2. Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 91*g**2 - 9*g + 25. What are the prime factors of a(-7)?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21037 - -0.01037. What is the fourth biggest value in -11\/3, t, 4\/3, -4, -0.4?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 7*c - 1 - 26*c + (-2 + 0 + 3)*(-3*c + 4*c + 0*c) - 1 + 1 + 4*c to the form b + x*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1476\/615)\/((-60)\/(-130)*(-3)\/45).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.4 + -22.4. What is the third biggest value in 5, p, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3608 and 207603.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -107*q**4\/15 - 143*q**3\/10 - q**2\/10 - 11*q - 22. Solve x(m) = 0.\nAnswer: -1, -1\/428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, 1 x, and 1 p when four letters picked without replacement from {c: 3, h: 1, a: 6, p: 2, x: 1, d: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 18, 1\/38, 3.3 in descending order.\nAnswer: 18, 5, 4, 3.3, 1\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 4. Let k be (-3)\/((-6)\/(-32)*(-4)\/(-1)). Let o = k - -12. Let j be 2\/o - (-99)\/(-44). Let r(d) = d + 1. Give j*r(g) + w(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 7, 10, 13, 16?\n\"Answer: 3*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 44*q - 2. What is the units digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000698358288 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*z + 647 = -23*z - 399 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 2*u + 9*d - 26*d, 5*u - 4*d = 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22130447.5 rounded to the nearest one hundred thousand?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4700.919 kilometers to centimeters.\nAnswer: 470091900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(2\/(-4)). Let l(w) be the first derivative of 3\/2*w**2 - 23 - 2\/3*w**3 - v*w. Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 3. Let d be t(8). Let u = d - 20. Is -1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 836622 and 63.\nAnswer: 5856354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*z - 10 = 201*z + 2*u, 29 = 6*z + 5*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeceeeceeceeeee?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + (-131 - 3724\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 14\/(1596\/582). What is the second biggest value in -1, 0.05, g, -4\/9, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 52. Let x(k) = -k**2 + 12*k - 8. Suppose -40 = -2*w - 3*w. What is the remainder when x(w) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - (-17)\/5. Let n(y) = -2*y**3 + i*y**3 + 7 - 5*y + 6 - 10 + 6*y**2. List the prime factors of n(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 0.9. Let d be 0 + 9\/3 + -5. What is the closest to d in v, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*t**5\/5 - 7256*t**4\/5 - 67282*t**3\/5 + 1864*t**2 + 600*t = 0 for t.\nAnswer: -25, -15, -2\/13, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -10 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.3. What is the smallest value in r, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + a7e17c5?\nAnswer: a7e17c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 99.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -d. Let w be (-5)\/5 + d\/1. Let k = -4 + w. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = s - 9 + 55, -5*s + 52 = d. Suppose -t + d = -683. What are the prime factors of t?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 16*t = 336. Let w(v) = 4*v**2 + 6*v. Let m(y) = y. Determine t*m(f) - 4*w(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)\/(b*b**(-14)) assuming b is positive.\nAnswer: b**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 3*t - 492 = -9*o, 4*t - 944 = -4*o. Does 85 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 32*q + 703. Calculate s(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-8) + 4)*90\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -936 - -935 - (0 - -4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -96?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 294, 664, 1182?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 359799 divided by -1\nAnswer: -359799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320101 (base 4) to base 15.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-10)*(-128)\/56. Let m = 1 - -1. Suppose 2*p = -m*t, 5*p + 2*t - 9 = -0*t. Solve -p*k + f = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194839 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1 (c) 3\/5 (d) 80 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 391*d**2 + d. Let i be m(-1). Suppose 39*q + i = 52*q. Calculate the lowest common multiple of 96 and q.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 7987059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-210))\/(7\/(-49))*6\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4750992 and 356.\nAnswer: 422838288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 9*p + 30 = 0. Let j(t) = -t**2 - 13*t - 6. Let d be j(p). Solve 0 = 2*x + 4*f - d, 4 - 9 = -f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2\/2 - 40123590*h + 268317079081350 = 0?\nAnswer: 13374530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 60*o**3 + 148*o**2 + 492*o + 280 = 0 for o.\nAnswer: -1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y - 6 + 2*y + 4*y)*(2 - 2 - 2 + (0 - 1 + 3)*(-4 + 1 + 1) + 0 + 137 + 46) to z*y + v and give z.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Let i = c + -9. Let r = -11 + 8. What is the biggest value in r, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(40)*-5).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6746137 millilitres in litres?\nAnswer: 0.0006746137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608657370?\nAnswer: 2, 3, 5, 139, 227, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 18923591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 726.\nAnswer: -1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -57. Let b(f) = -f**2 + 8*f + 3. Let t be b(8). Let c = t - -5. Solve w*n = 4*u + 6, u = 5*u + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2. Let t(j) = 27*j**2 + 21*j - 21. Let l(d) = d**2 + d - 1. Let b be 2\/(-7) - ((-3003)\/49 - 2). Let w(g) = b*l(g) - 3*t(g). What is c(w(h))?\nAnswer: 1296*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.2 (b) 2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95*r**4 - 8141*r**2 - 39682?\nAnswer: 380*r**3 - 16282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789, 188, -389, -930, -1423?\nAnswer: -1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-108) + 92\/9. Let o be (-50)\/w + -1*127. Let x = -88 - o. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 205236720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -861. Which is smaller: -736 or k?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 155*m - 1170. Let k be j(-8). Let t = -2 - -4. Solve -k = -t*v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -531 + 0?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/81 and 13\/18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a3 - -4b62b?\nAnswer: 4b7ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46834305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41143 (base 6) to base 14.\nAnswer: 1dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537777354?\nAnswer: 2, 3, 17, 5272327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**(-2\/19)\/(x**(-2\/17)\/x**(2\/13)))**(3\/11) assuming x is positive.\nAnswer: x**(21288\/323323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 80 + 0*r + r - 69. Let s be l(-8). Solve 4*a + 32 = 3*q, 2*a - 2 = -s*q - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29909.09 years to millennia.\nAnswer: 29.90909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17060 and 17060.\nAnswer: 17060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47253*l**2 + 47253*l**2 + 8*l - 8*l + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054526236 rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 449, 618, 797, 992, 1209, 1454?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1539.368525 to zero decimal places.\nAnswer: -1539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/85750 and 49\/110.\nAnswer: 943250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 160 = 14*t - 13*t, -3*t = 2*f - 125. Suppose 2*q - 232 = 3*g + g, 2*q = 2*g + 116. Let o = -14 - g. What is the greatest common factor of f and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7181)\/9804 + 18\/57.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3229035*p**2 - 510842*p - 4.\nAnswer: -6458070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30090199991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeea. What is prob of sequence ae?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 621330*w**3 + 8076445*w**2.\nAnswer: 5*w**2*(w + 13)*(w + 124253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99\/119 + 19\/17. Let b = -0.6 + 0.9. What is the closest to c in b, 5, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {w: 4, v: 5, u: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3243708 times -1\nAnswer: -3243708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 16*u + 61*u - 21*u = 20*u - 16, 2*u - 7*u + 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -51. Put z, -1, -5, 5 in descending order.\nAnswer: 5, -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559050136 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10\/3 (b) 3\/5 (c) -1\/6 (d) -11.736\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7804 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2 - 6*n - 6. Let b be (3 - 0\/(-4)) + -4. Let f(r) = r**2 + 1. Let m(c) = b*j(c) - 3*f(c). Give m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/4 + 7\/4. Let v = 11.4 + -11. What is the nearest to w in -3, 1\/10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3239 + 614?\nAnswer: -2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 2*x + 5. Let q(y) = -y - 13. Let b be q(-7). Let k be ((-3)\/3 - b)*x. Solve -34 = 2*p - 5*p - k*g, -g = -2*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let l be (-8)\/(-12) + -8 + 2800\/273 - 3. Do l and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17\/9 and -7\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 54460 divided by 4\nAnswer: 13615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x + 206. Let k(u) = -u**3 + 16*u**2 - 18*u + 11. Let j be k(15). What is the units digit of y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2\/7, -4, 189, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -198 * -30831\nAnswer: 6104538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**2 - 2\/3*n**4 + 0 + 0*n**6 - 1\/28*n**8 + 6*n + 0*n**3 + 0*n**7 + 0*n**5. What is the third derivative of c(s) wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 24*s + 24*s as n + b*s + i*s**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.432 + 0.932. Put c, -3, 0.2, 3 in increasing order.\nAnswer: -3, c, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5751 (base 16) to base 2\nAnswer: 101011101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 25*g**2 + 49*g - 591. Is z(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -9)*(1\/2 + 0). Let m(i) = -2*i + 1. Let f be m(4). Let r = 27 + f. Solve o*h + r = -0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3382251*g**2 + 4027132 wrt g.\nAnswer: -6764502*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1.268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.274666687145 - -229?\nAnswer: 228.725333312855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 222010232 (base 4) in base 5?\nAnswer: 21003314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 - 164*y**2 - 150*y**2.\nAnswer: -345*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10 - (-45)\/10. Suppose -2686 = a*c - 18051. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k - 15 = -27*k. Let f be (2 + -2)\/((-1)\/k*3). Which is the nearest to 26? (a) -0.5 (b) f (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 15*c + 17 = 101 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3\/8 (c) -84 (d) -13.7 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmmq when four letters picked without replacement from {f: 10, y: 1, q: 4, m: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873434 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 2. Let c(w) = 20*w - 6. Give -4*c(u) - 11*z(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2421 + -2423. Let a(m) = -m**2 + 2*m. Let r(d) = 3*d**2 - 4*d. Determine t*r(c) - 5*a(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-35)\/(-15)) - 93. Does 9 divide j*(-4 - (-28)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n**3 - 21*n**2 + n + 33. Let v(h) = 8*h**3 + 9*h**2 - h - 17. Give 3*u(y) + 7*v(y).\nAnswer: 5*y**3 - 4*y - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - z - 58779 = -4*g, 10*g + 2*z - 587886 = 0. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**3 + 6*w**2 - 9*w - 4. Let r(i) = -202*i**3 - 5*i**2 - 195*i**3 - 12 + 15 + 8*i + 404*i**3. Calculate 5*g(h) + 6*r(h).\nAnswer: 2*h**3 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -929 + 65 = -4*f. Suppose -2*s + f = -4*c, c - 280 = 6*c - 5*s. Let x = c - -95. What is the remainder when x is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 10:03 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -42.5 (b) -2\/13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 217*s**2 + 6*s - 7. Let q(g) = -2875*g**2 - 79*g + 91. Let d(l) = 4*q(l) + 53*u(l). Let w = -6 - -11. Calculate d(w).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115.876 - -0.124. Let c = s + -82. Let g = -33.9885 + c. What is g rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1994 - 969 - 42*b**3 - 997. Let p(q) = -q**3 + 1. Determine -28*p(u) + y(u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/360 + 11*k**5\/180 - 13*k**4\/24 + 5*k**3\/2 - 51*k**2. Factor x(v).\nAnswer: -(v - 5)*(v - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503 - 182 + 56 - 165 - 51 - 19)*(-15*s + 15*s + 9*s**3).\nAnswer: -7776*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 961896732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 2*d + 1. Let b be f(-1). Let p = -43 + 45. Let t be (1 + -4)\/(27\/p). Sort t, b, -0.03.\nAnswer: t, -0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000029843 to seven dps.\nAnswer: -0.0000298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*j + 388 = 0, 8*j - 309 = -4*n + 5*j. Suppose n = 2*s + 12. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.5 - -44.5. What is the third smallest value in -0.2, -0.3, -2\/365, f?\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*z**4 - 1 + 0 - 6 - 4 with respect to z.\nAnswer: -112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7176 + -3396. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121662, 121651, 121632, 121605, 121570, 121527, 121476?\nAnswer: 121417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10435483 divided by 5\nAnswer: -10435483\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81 + -1c528?\nAnswer: -1c5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 111.\nAnswer: 25\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*f - 3*h, 2*f = -2*f + 3*h + 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04036 - 0.02136. Which is the biggest value? (a) 0.3 (b) -1\/7 (c) -0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70950686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:52 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -67. What is the remainder when 441 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*p - 4*p + 21*p - 2*p - 3*p + 2*p + (1 - 1 - 2)*(-1 + 2*p + 1) to the form k*p + m and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.5+744783253983\nAnswer: 744783253981.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 2*m**2 + m + 2. Let o be s(-1). Which is the biggest value? (a) o (b) 0.4 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -4, 2, 4 in ascending order.\nAnswer: -4, 2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 11*g**2 + 4. Let t be ((-264)\/60)\/((-2)\/5). Let d be s(t). Suppose 2*a = -2*a - d. What is the second biggest value in a, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 2*q + 7. Let g be i(5). Let u = g - -27. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 1 + 1 + (-4 + 1 + 2)*(-6*q + 2*q + 5*q) + 2 + 2*q - 2 - 2*q - 2*q + 2*q + (-2*q + 0 + 0)*(1 + 1 + 0) - 3*q + q + 6*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/5 + 2178*i**2\/5 + 70513*i\/5 + 91494 = 0.\nAnswer: -23, -9, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 - 2. Let g be f(6). Suppose -16 + 111 = -19*w. Put g, 2, w in descending order.\nAnswer: 2, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -2.39. Let a = -0.01 + r. Let f = a + 1. Which is smaller: f or 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 124, 118, 106?\n\"Answer: -3*x**2 + 9*x + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {k: 2, b: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - 0*c. Solve 2*w = -2 - c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 25*w. Let c(h) = -21*h**2. Determine j(c(a)).\nAnswer: -441*a**4 + 525*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from {m: 2, g: 6, v: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*200048\nAnswer: 400096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0, 11, 0.3 in increasing order.\nAnswer: -3\/5, 0, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 16*x**3 + 14*x**2 = 0 for x.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (41\/123)\/(((-2476)\/(-3))\/4). Let p = -625\/3714 + r. What is the fourth biggest value in -1, -2, p, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84330, 168651, 252968, 337281?\nAnswer: 421590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 51460.\nAnswer: -1\/10292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 2537 = 2281 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2651 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/7 in 1, -4, 3, -0.5, -3\/71?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/2)*i**18*(i**7)**46 assuming i is positive.\nAnswer: i**(681\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/19)\/y*y\/((y*(y*y\/(y\/(y**(-1\/2)*y)))\/y)\/y))\/((y**(3\/2)*y)\/y*y*y**(-7)) assuming y is positive.\nAnswer: y**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3573 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16516 + 41653. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzobzzbbz. Give prob of picking 3 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - v = -13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.2 + -11. Which is the third biggest value? (a) -1\/5 (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6065070, 6065065, 6065060, 6065055?\n\"Answer: -5*u + 6065075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**2 - 13874*p - 4910?\nAnswer: -4*p - 13874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-42)\/(-18))*21\/(-9). Solve 0*a + f*a = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236724\/13 bigger than 18211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/3 + 125857*t**3 + 19012109*t**2 - 115205363*t\/3 + 19263822 = 0.\nAnswer: -153, 1, 377722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1629932 rounded to four dps?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83b8 (base 15) to base 7.\nAnswer: -144122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 26*a + 92 = 31*a, 5*a = -2*f + 86 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45282.1 - 51347. Let a = 6723 + t. Let q = 621 - a. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*v + v. Let s be 24\/(-40) + 10\/(-25). What is the closest to s in -4, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 7*c - 3. Suppose -y = -2*y + 7. Determine s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 2051359.\nAnswer: 2051359.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.4, 0.5, -14, 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - u**3 - 2*u**3 + 0*u - u**3 + 0*u + (6 - u + 1 - 4)*(-45*u + 23*u - 27*u)*(-u + 3*u - u).\nAnswer: 47*u**3 - 147*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 178*h**3\/13 - 258*h**2\/13 + 86*h\/13 + 20\/13 = 0. What is h?\nAnswer: -2\/13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*p**4 - 2109*l*p**3 + 4999*l*p - 3*p**4 + 137*p**3 + p**2 + 18509*p wrt p?\nAnswer: 48*l*p - 12654*l - 72*p + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from {b: 3, c: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 80649.\nAnswer: 8\/80649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((198\/11)\/72)\/(4\/24)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-2459)\/(-2))\/((-14)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1588)\/(-4764))\/((2\/24)\/(6\/64))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yym when three letters picked without replacement from {m: 1, y: 6, c: 7}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppgggpp. Give prob of sequence pg.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -494, -989, -1484?\n\"Answer: -495*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 971*l**2 - 2427 + 2*l**3 - 1133 - 483*l**2 - 488*l**2 + 2*l to m*l + p*l**2 + h + i*l**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 239*v**3 - v. Let l be d(1). Suppose 5*p = t - 2*t + 374, 3*p + 4*t - l = 0. Suppose 5*j = 2*q + 4*j - p, -q = -2*j - 34. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - a + 50. Let m be ((-5)\/3)\/(10\/(-90)). Suppose m = 5*k, 3*o + 2*k = -12 + 3. Sort a, o, 19, 3.\nAnswer: o, 3, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 31. Let r(g) = 15. Let j(x) = 6*f(x) - 13*r(x). Let m be j(7). Let z = 46 - m. Calculate the least common multiple of z and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*k**4 - 2*k**3 + 0 + 1 + 2*k**2 + 21*k**4 in the form u*k**3 + g*k + v*k**4 + q + s*k**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 153*d - 980. Calculate v(157).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7 - 1 - 2 + 0*a**2 - a**2 + 28. Let f(d) = 2*d - 2*d - 2*d + 4*d. Determine f(n(v)).\nAnswer: -2*v**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - 17\/(-3). Let m = 1 - i. Let u = m + 15. Solve 2*z - u + 1 = x, -x + 5 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 38 + 42 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*y + 236*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - ((-75)\/5 - -3). Let x(d) = 25 + 24 - 49 - t*d**2. Let r(w) = 4*w. Calculate x(r(j)).\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0)*(1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -102, -152, -202, -252, -302?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*g. Suppose 0 = 2*w + 5*s - 23, -2*s = -10 - 0. Put 4, w, g in decreasing order.\nAnswer: g, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30. Suppose j = 2*r + 6*j - 20, o = j. What is the highest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(((-768)\/(-2688))\/((-4)\/(-49))).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 7, -2.\nAnswer: -4, -2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(-255)\/10. Let f = u + 12. Sort f, 0, -0.2 in descending order.\nAnswer: 0, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221, 218, 215, 212, 209?\n\"Answer: -3*n + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -24*y**4 - 5*y**3 + 5*y**2 - 5*y - 29. Let w(b) = -12*b**4 - 2*b**3 + 2*b**2 - 2*b - 15. Let x(l) = 2*g(l) - 5*w(l). Differentiate x(c) wrt c.\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l. Let y be (-5)\/(-4) + (-4)\/16. Suppose 0 = -s + 2 + y. Is b(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38363251842 + -60.8.\nAnswer: -38363251902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13480290611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5092 and 90316?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k - 8*k - k to l + w*k and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, -567, -1625, -2665, -3681?\nAnswer: -4667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 1. Let o be n(2). Suppose -3*q + 18 = l - 7*q, 0 = -2*q - 8. Which is the closest to o? (a) l (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 14, e: 1}. What is prob of picking 2 d and 1 m?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*z - 91*z + 3 = 0. Find the second derivative of -4*y**z - 24*y**3 - 10*y**3 - 27*y**3 + 2*y + 29*y wrt y.\nAnswer: -390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -113. Let l = 74 + t. Differentiate -6 + 15 + 1 + l*a**4 + 3*a**4 wrt a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 1. Let i(y) = -279*y + 153. Let p(o) = -12*f(o) + i(o). What is the first derivative of p(c) wrt c?\nAnswer: -291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 2. Let b(y) = -7*y - 19. Let o be b(-5). Let p(f) = -o*f - 3 + 3*f + 9*f. Determine 2*p(r) - 3*q(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/42*3 + 1470002\/7. Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/30 and (-1915)\/770 + 32\/(-112).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20012002121001 (base 3) in base 15?\nAnswer: 44e787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 17*c - 134. Let r = 70 + c. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248191.7 centuries to millennia.\nAnswer: 24819.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - l)*(0 + 0 + l)*(4*l - 2*l - 10*l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x - 8*x + 50*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 + 2*d**5 - 2*d**5)*(0 - 3 + 5) + (-18*d**3 + 18*d**3 - 2*d**4)*(-d + 4*d + 2*d).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19900253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8770.\nAnswer: 2, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*t = -91*t + 380*t + 119*t - 93528 for t.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 633.0777 centimeters in millimeters?\nAnswer: 6330.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 29*a**2 - 29*a + 64. Let c be r(28). Suppose -2 = -c*s + 106. Suppose 0 = 3*q - 12, 4*k + 1 = q - 7. Put s, -3, k in descending order.\nAnswer: s, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 34*q + 2. Let n(a) = 34*a + 1. Let p(s) = 3*n(s) - 2*t(s). Let l(j) = j**2 + 19867*j - 19867*j + 0*j**2. Give p(l(r)).\nAnswer: 34*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.21 + 30.31. Let h = -40936 + 40937. Is d bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**20*v)\/v**(1\/24))**(-4\/7) assuming v is positive.\nAnswer: v**(-527\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 29 (c) 0.2 (d) 12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5622.167 - 5622. Which is greater: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(91) + -2*sqrt(91) + sqrt(91))*3)\/(sqrt(7) + sqrt(7) + sqrt(448) + sqrt(448) + -2*sqrt(448) + sqrt(7)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14*n + 240 = 0. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r**3 + 7*r**2 + r + 2 - 18*r**3 + 0*r + 30*r**3. Calculate d(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/114, -5, -0.2, -4, 0.3 in ascending order.\nAnswer: -5, -4, -0.2, -1\/114, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31043 is divided by 119.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 22\/53 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -32. Let y be z*6\/28*2. Suppose 0*p**2 - 1\/6*p**4 + 0 - 1\/6*p**5 + 0*p**y + 0*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 3*k - 1. Let l(v) = -v**2 - 2*v. Let t(f) = 3*l(f) - 2*q(f). Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bjojjjjjobjjbjjbn.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggfggggssgagg. Give prob of sequence gg.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(3 + 3 - 5) + 0 + 3 - 2 + 3 - 4 - 6)*(-6*z**2 + 4*z**2 + 6*z**2).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/24 (c) -0.21 (d) 3\/91 (e) 2 (f) 0.2 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -5*s**2 - 6. Let l(k) = -2*k. Calculate l(z(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 867750 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26262 - 10955. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*q + 27, -5*o + 6 = -q. Suppose -151 = -5*d - 2*a, -o*d + 9*a - 14*a = -52. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319.15 or 0.4?\nAnswer: -319.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122.4 - -122.1. What is the closest to -1 in 0.3, w, 1, -23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(-2*m + 3*m + 3*m + 2)*(-144 - 214 + 56) to z*m + f and give f.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3\/192*8). Let l(j) = -11*j**3 + 6*j. Let y(v) = 7*v**3 - 4*v. Determine p*y(h) + 5*l(h).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.794459ml in litres?\nAnswer: 0.004794459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -179043844 - 4?\nAnswer: -179043848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-2*s**2 - s**2 + s**2) + s**2 + 2*s**2 - 2*s**2)*(-s + s + 2*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000111001 (base 2) in base 12?\nAnswer: -3361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4\/4 + 25*a**3\/2 + 40*a**2 + 95*a\/2 + 75\/4.\nAnswer: 5*(a + 1)**2*(a + 3)*(a + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8066*y**6 - 10*y**2 + 6*y - 1.\nAnswer: -967920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(s + 2*s - 4*s)*(-11*s - 3*s - 8*s) + 1 - 2*s**2 - 1.\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(44\/(-176)). Suppose -5*f = -j*f - n + 13, 3*n - 3 = -3*f. Suppose 2*o - 5 = -2*l + 1, -4*l = -o - 17. Sort -5, f, l.\nAnswer: -5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 123936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 times 5?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + -53. Suppose n = -4*r + k, 5*r - 5*n + 6*n = 45. Factor 44*g**2 + 10*g**3 + 0*g**4 - 30*g**2 - 20*g**2 - 2*g**4 - r*g + 8.\nAnswer: -2*(g - 4)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2062, -4125, -6176, -8209, -10218, -12197, -14140?\n\"Answer: v**3 - 2070*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + m - 3. Let c be (-2)\/(((-72)\/(-9))\/(-16)). Determine a(c).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16. Which is the nearest to q? (a) -5 (b) 4\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -93*x - 4840. Give k(-54).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812166237*l**4 + 9679402435500*l**3 + 62246938608*l**2 + 133433936*l + 95344 = 0. What is l?\nAnswer: -11918, -2\/933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 286240, 0 in increasing order.\nAnswer: -5, 0, 286240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51661288 by -922523.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u = 2*u - 42*u - 440 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i + 76646 = 74332. Is 90 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -7.67541?\nAnswer: -8.17541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-429)\/143 - (3 - -24)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 812.8 + -0.4.\nAnswer: 812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-2 + 4*c + 0 - 7*c) + 3*c + 24*c + 25*c in the form j + m*c and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797 plus -5819.9543?\nAnswer: -1022.9543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t + 16 - 10 - 4 - t**2 - 14. Let o be h(-11). Sort o, 6, 0.3 in descending order.\nAnswer: 6, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 + 2*k**5\/15 - k**4\/24 + 3*k**3\/2 - k**2 - 18. Determine v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -28 (c) 418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -663, -662, -661, -660?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140548 and 19147.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:08 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 2*q**2 - 24*q - 31 + 31.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364646, 364642, 364636, 364628, 364618, 364606, 364592?\nAnswer: 364576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 659366?\nAnswer: 5274928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/8*(128\/(-28) - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 11*p + 15. Let t be z(10). Solve -j - t*y = 2*j + 4, 5*j = 3*y + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36903*a**4 + 11566*a**2?\nAnswer: -885672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -4*k + 2*y = -10 - i, -4*y - 12 = -5*k. Let q be 0 + (2 - 2 - -2). Solve k*h = -2*s - 3*s + 14, 4*h = q*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(13\/3)\/n)\/n)\/(n*n**(1\/11))*n**(-36)*n**(-20\/9)\/n assuming n is positive.\nAnswer: n**(-3562\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1425?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 23944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 5*i - 21 = -18*v, -4 = -4*i. What is the highest common divisor of 440 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1786\/878111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 763 + -763.5. Let p be 88\/210 - (-2)\/(-7). What is the second biggest value in p, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**8\/168 - m**7\/210 - 19*m**6\/3 - m**5\/10 + m**4\/8 - 91*m**3\/6 + m**2 - 818*m. Find the third derivative of a(x) wrt x.\nAnswer: -120*x**2 - 24*x - 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798325939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 times 4?\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*4068.153\nAnswer: 32.545224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 204, 429, 744, 1155, 1668?\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-27) - 154\/(-36). Let l be 52\/14 + (-2)\/(-7). Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 83*r**2 + 29963*r + 7. Calculate u(-361).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53530, 107115, 160700, 214285, 267870?\n\"Answer: 53585*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, x: 2}. Give prob of picking 3 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 33*h**3 + 7. Let w(k) = 16*k**3 + 3. Let r(l) = -11*w(l) + 6*z(l). Find the first derivative of r(j) wrt j.\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 13, 21, 31, 43?\n\"Answer: p**2 + 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -13)\/(2\/22). Let b = -16 + q. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 19*c - 10. What is the units digit of f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3571, -7042, -10513, -13984?\nAnswer: -17455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*l - 3 = 0, 23 = 4*l + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 8. Let h be k(6). Suppose -c + 18 = h*c. Let v(b) be the first derivative of -b**2 + 9*b - 1584. Calculate v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1666 and -685453?\nAnswer: 685452.8334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -801*r**4\/2 + 7752*r**3 - 19839*r**2\/2 + 2622*r - 54 = 0. Calculate r.\nAnswer: 2\/89, 1\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/5 + 28\/((-1260)\/27). Which is the third smallest value? (a) 6 (b) 0.4 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + f + 30 = 0, 708*z - 702*z + 102 = -3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhshxshhhhhshhhxh. What is prob of picking 1 x, 1 h, and 1 s?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*j + 1\/4*j**2 + 4 = 0. What is j?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from nynnyny.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:53 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, i: 7}. Give prob of picking 4 i.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d**(-4)*d))\/d))\/((d*d**(-2\/23))\/d))\/(d\/d**(3\/5)*d*d**(1\/2)) assuming d is positive.\nAnswer: d**(-647\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9365533 times 19\nAnswer: -177945127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, 1 b, and 1 z when four letters picked without replacement from zspkizizzpisbiz?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Calculate the smallest common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 887 and 12629993.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 73.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - 45. Let k(v) = 14*v - 100. Let n(d) = 4*k(d) - 9*r(d). Let i(s) = -s. What is -5*i(f) + n(f)?\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13\/(g\/(g*g\/g**(-12\/5))))**(22\/3) assuming g is positive.\nAnswer: g**(1804\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3876 divided by 4.\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -12*z**3 - 17*z**2 - 45*z - 29. Let b(c) = 5*c**3 + 9*c**2 + 23*c + 15. Let f(s) = -5*b(s) - 2*x(s). Let v be f(-8). Is -7 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 divided by 72?\nAnswer: 625\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6)*(-36 - -42). Is f at most -5\/5927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 308*m**5 + 48*m + 1 wrt m.\nAnswer: 6160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72291540 by -12.\nAnswer: -6024295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*v. Let q(u) = v*u - 2 + 4 - u**2 - 3*u. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 46*k + 210. Let c be i(-5). Solve 0 = 9*o + 5*o + c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608 and 18628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442 a factor of 156476034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w**4 + w**3 - 4*w**2 + 4*w. Let v(h) = 33*h**4 + 3*h**3 - 9*h**2 + 9*h. Let n be ((-6)\/(-4))\/((-3)\/(-8)). Let l(z) = n*v(z) - 9*j(z). Factor l(g).\nAnswer: -3*g**3*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.2, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 9. Let o(x) = 1. Let b(a) = -c(a) - 6*o(a). Let y be b(6). Let w be -4 + y - (-3 + 2). Solve d + d - 4 = w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - 0 - ((-6828)\/783 - (1 + -6)) and 17\/3.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10620 + 10726. Let h = -10 + 20. What is the remainder when r is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.6 - -0.6. Let t = 125 + -121. What is the smallest value in t, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-192 - -200) + (-1 - 41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d - 5. What is the remainder when 3 - 1\/(d\/(-5)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 11. Let z be b(9). Let c be (-2)\/z + (-27)\/(-9). Suppose 50 = c*t + 2. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/20 + p**4\/12 - 5*p**3\/6 - 16*p**2. Let n(b) = -2*b**2 - b + 5. Give 4*n(h) + 3*z(h).\nAnswer: h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5688.999998625 - -5689. Round q to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 11) to base 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by 108.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -1\/240*q**6 + q**3 + 0*q + 0*q**2 + 1\/8*q**4 + 1 - 1\/80*q**5. Let j(d) be the third derivative of a(d). Factor j(g).\nAnswer: -3*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:46 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 299\/2 - 583\/4. Let h = -8\/1125 - 48247\/18000. Find the common denominator of h and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -880*g - 69. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(468)*3 + sqrt(468)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d5d1 (base 14) to base 8.\nAnswer: -2503363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 24 = 4*c, 0*c = -5*y + c + 12. Suppose -b - 4 = 5*t, b = 2*t - 2*b - 12. Find the second derivative of t*p + p - 4*p + 4*p - y*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7118 + 12138. Is 24 a factor of 4\/14 + w\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4382 and -61\/12.\nAnswer: 26292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-337)\/(-112) - 3). Suppose 14*d - 13*d - 20 = 3*i, 3*i = 5*d - a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -266*s - 60. Let q be i(-7). Suppose 0 = 12*a - q - 5818. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/11, 3, -2\/9, -1\/85, -3\/2, -3, 1\/3?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 245 (b) 0.4 (c) 1.4 (d) -0.5 (e) 0.5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)*z))**8*z*z**(-2\/5)*z**(-2\/17)*((z*((z**(-1\/2)\/z*z)\/z)\/z)\/z**(-8\/7))\/(z**(1\/13)\/z*z*z**(1\/4)) assuming z is positive.\nAnswer: z**(488799\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-72)*(126\/49 + 14\/(-7)). Factor 0*y**4 - 2\/9*y**2 + 4\/9*y**3 + a - 1\/3*y - 1\/9*y**5.\nAnswer: -(y - 1)**3*(y + 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 + 1 - 1) + (87 + -16 - 74)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10820 (base 9) to base 13.\nAnswer: 339c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*k + 33. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31652 and 656.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 - 2*k + 5. Let b be (-5 + 7)\/(2 - 0). Suppose -r + b + 5 = 0. Is u(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -169. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 16, -831*b + 832*b - 12*l + 36 + 1 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**3 - 2*z**2 - 4*z + 3. Let g(b) = -4*b**3 + b**2 + 4*b - 2. What is -4*g(q) - 3*j(q)?\nAnswer: q**3 + 2*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvug. Give prob of sequence ug.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l - 7. Let m be y(-6). Suppose 10 = 4*d + 2*i, -4*d + 7*d = -i + 5. Suppose 9*j - 2 - 43 = d. Solve j*a + 5 = -m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-20)\/(-1190)*-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y - 1. Let z be n(-1). Let g = z + 27. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 3, m: 4, n: 4}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/4 of a hour in minutes?\nAnswer: 495","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + -1d?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 328*s + 207*s + 7875 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*c = v - 10, 0 = -2*v + 5*c - 22. Sort v, 1, -4, 5 in descending order.\nAnswer: 5, 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14467936 and 1568?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 84. Let y be q(-32). Solve u - 9 = -y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 29*w - 25*w. Let i be w\/8 + (-1)\/8*2. Suppose -234 = -i*m + 24. Calculate the common denominator of m and 47\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 54. Is -0.17 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063580341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1) + 12 + -11. Solve -3*t + 4*t - 3 = o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdzdzjjjmmm. What is prob of picking 1 m and 1 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232761283?\nAnswer: 67, 3474049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 14) to base 6\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*n**2 + n**2 + 242*n**2 to q*n**2 + z + a*n and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9378094769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 6) to base 3.\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10030809 + a + a + 10030818.\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.791197 and -0.1.\nAnswer: -0.1791197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4872265*r**3 + 671*r**2 + 574*r + 1.\nAnswer: -29233590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.21835267 to 3 dps.\nAnswer: 8.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 2, h: 1, a: 8, l: 1, u: 2}. Give prob of sequence aech.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 303 + 6*y**3 + 303 + 94*y.\nAnswer: 6*y**3 - 3*y**2 + 94*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - j**2)*(-3 + 2 - 2)*(2*j + 0 + 0) to the form y*j**2 + o*j**3 + z + r*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 5. Let u be m\/1*1\/(-4). Is u less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 9*a = 4*a + 30, 0 = 4*k + 3*a - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-18) + 6\/27. What is the closest to -1 in 2\/7, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 1 - 3*m**2 + 3*m**2 + 20*m**4 to the form s*m**3 + z + p*m + h*m**2 + y*m**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwlu when four letters picked without replacement from {u: 2, w: 2, l: 2, d: 4, g: 1, z: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 110201011121000?\nAnswer: -110201011121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10765673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v - 2*v + 3 - 1 + 0. Is r(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/2584, -1, -15\/13.\nAnswer: -15\/13, -1, -43\/2584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 26. Suppose -3*u + u = -g. Suppose 2*l - 5*l + 2*b + 4 = 0, -u*l = 2*b - 12. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -36*t + 11*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -44. Suppose -2*g = -5*g. What is the nearest to g in 0.3, -5, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 4 (b) -3 (c) -47.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 3*p**2 - 2*p + 13. Let q be f(-4). What is the closest to 7 in q, -0.2, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.05, 1\/6, -2099?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 947*m - 3455. What is the remainder when y(4) is divided by 107?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 342\/72) + (-10)\/(-2). Which is the nearest to -1? (a) 2\/5 (b) 88 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -137, -136, -135?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -19, -17, -17, -19, -23?\n\"Answer: -z**2 + 7*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(504)*3 + sqrt(504) - sqrt(504)))\/(sqrt(84)\/(sqrt(12)*-2) - sqrt(7)*2*6) + 2.\nAnswer: -36*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460*j**4 - 60*j - 3?\nAnswer: 5520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3213.2 and 6.11?\nAnswer: 19632.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-288)\/216 + 52\/6 and 1\/(-3)*1065\/50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 0*c**6 + 20 + 0*c**2 + 0*c**4 + 3*c + 2\/7*c**7 - 54\/5*c**5 + 44\/3*c**3. What is the third derivative of u(b) wrt b?\nAnswer: 240*b**3 - 1296*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 5*v - v + v**2 + 7. Let j be g(7). Solve -d - 3*f = -0*d + 14, -2*d - f - 13 = j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 236. Let f = n + 493\/4. Which is the smallest value? (a) f (b) 1.5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39\/11 + -79\/11. Let n = -22435\/554 + -1\/277. What is the common denominator of u and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 + z**2 + 6*z. Determine s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/308294 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-261)\/(-21) - (-6)\/(-14). Let j = 20 - m. Suppose 0 = -3*h + 5 - j. Is -2\/9 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssslsjresjesj. Give prob of sequence jje.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-1 - 162\/66). Let o = -17 - -21. Which is the nearest to -1? (a) -0.4 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 + -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40790 = 3*l - 4*r - 33895, -4*l - 4*r = -99552. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*j - 1 + (-3*j - 3*j + 5*j)*(5 - 2 - 5).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6098 = -190*i - 5636 + 714 for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 7*r - 3. Let q(h) = -h**2 + 3*h + 2. Let y(n) = -5*q(n) - 2*s(n). Let m be y(3). Suppose -o - 4 = -m*o. Which is greater: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*h + 224 = 0, -4*b + 9*b - h = 1146. What is the remainder when b is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = h - 5*u, 4*h + 1 + 35 = -4*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/14)\/((-1)\/(28\/(-8)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8*s = 1308. Does 60 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.378 - -0.122. Let w = c + -34. Let r = w - -0.5000004. What is r rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 258 = c - 259, 6*d - 6 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 45528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*s = -5903 - 13266 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1111101010101110011000 (base 2) to base 10\nAnswer: -4107160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -27. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4805*-31*(-42)\/(-36)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) - ((-231)\/18 - -15). Put 8, 50, o, -1 in decreasing order.\nAnswer: 50, 8, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 545856?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2560\/12768 + 195\/(-63) + 3. Which is the fourth biggest value? (a) 153 (b) 0.2 (c) -0.5 (d) 4\/5 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512 is divided by 316.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**3 - 5*u**3 + 3*u**3)*(1 + 2 - 7) + (3 - 3 + u**2)*(-161 + 161 + 28*u) to the form t*u**3 + w*u + r + c*u**2 and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203637 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 107*s - 156. Calculate l(61).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.24561 rounded to 1 dp?\nAnswer: 43.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9*-168036.\nAnswer: 655340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 - 66*d**3 + 286*d**2 - 366*d + 148.\nAnswer: -2*(d - 2)*(d - 1)**2*(d + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 1 + 1. Let y(p) = -31*p**2. What is i(y(l))?\nAnswer: -93*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 - -1222211222?\nAnswer: 1222221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-6) + (-14)\/(-4). Factor 7*k + k**2 - 3*k**2 + 7*k**2 - n*k.\nAnswer: 5*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 80*f**3\/3 + 6*f**2 - 8*f - 13. Factor n(u).\nAnswer: 4*(4*u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(19) + (-2*sqrt(19))**2)*-4 - -3*sqrt(171)) - (-3 + (sqrt(19) - sqrt(1900)) + (sqrt(114)*2)\/sqrt(6)).\nAnswer: -296 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 + ((-5117211)\/(-484))\/127\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105724 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, 5, -3, 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96.1188 and 1.653.\nAnswer: 97.7718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*u - 16 - 8, 0 = -5*u - 5*b - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 61377940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*-6 + sqrt(136) + (sqrt(136) - 5*(sqrt(136) - -2*sqrt(136))))\/(sqrt(72)*2*-6)*4.\nAnswer: 25*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439455487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 8*q - 14. Suppose 4*r = 2*c + 7 + 19, 4*c = -r + 11. Suppose 3*m - 2 = r. Solve m*h + 5 - q = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*-6 + (sqrt(19)*3*4)**2 - (-2*-1*sqrt(133))\/((sqrt(14)*2)\/sqrt(2)).\nAnswer: -13*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 17 = 2*h - 59*m, 20 = 5*h + 3*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - -2*sqrt(72)\/sqrt(4)) + 5)**2.\nAnswer: 90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -24 - (-46 + 13 + -28)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d57b (base 14) in base 10?\nAnswer: 805081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2726992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52694.999969817 - -52695. What is y rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 664 + 2665 - 659 - 660 - 685.\nAnswer: 12*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29 + 0*n + n - 35 + n + 65. Give o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + sqrt(76) + -3 - ((sqrt(19) - (sqrt(38)\/sqrt(2))**2) + 0)).\nAnswer: -96 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 16*g**2 + g. Let x be t(-1). Let f = -152 + 257. What is the greatest common divisor of x and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27619316 and -27619317 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 3374?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 8:47 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - k - 4 = 3, -y - 5*k = 15. Suppose 2*q - 4 = 0, 0 = 2*a + 2*q - 21 + 7. Put a, y, 4 in decreasing order.\nAnswer: a, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1954*a - 3007. What is b(3)?\nAnswer: 2855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let n(u) = -u**2 - 5*u + 2. Let r(w) = -6*b(w) - n(w). Let r(z) = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pluubobuboboopbbllul. What is prob of picking 1 l and 1 u?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15254*y + 91520. Give c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11931?\nAnswer: 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 656 - 441410?\nAnswer: -440421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 2 = 0. Suppose -3*j - 81 = -3*q, h*q - q = -5*j + 9. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + -1) + -1*sqrt(3) + -3 - (sqrt(48)*4 + 3) - (sqrt(432) + -5*(2 + sqrt(432)) + (1*sqrt(432)*1 - sqrt(432)))**2.\nAnswer: -7014 - 981*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*x = 414*x + 3*i - 8, -2*x + 16 = -2*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d92 - 26?\nAnswer: 16d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6)\/3*-1. Let r(y) be the first derivative of -2*y + a*y**2 - 2. Differentiate r(p) with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7619, -8596, -9571, -10544, -11515, -12484, -13451?\n\"Answer: l**2 - 980*l - 6640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309 or -16?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 119*k + 7. Calculate m(1).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k + 4. Let t be m(-3). Let r be t*(-2)\/(-4)*27. Suppose -4*v + 4*x = -188, 3*v - 4*x - 10 = r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -7166, 5 in descending order.\nAnswer: 5, -130, -7166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2466 + -5?\nAnswer: -246b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5*f**3 - 4)*(-3*f - 3 + 3) + (-2*f**2 - 2*f**2 + 2*f**2)*(5*f**2 - 5*f**2 - f**2) to the form b*f**2 + d*f + t*f**4 + n + i*f**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555 = 18*o - 1089 + 552 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + k - 4. Let a = -42 - -45. Let b be r(a). Suppose 16*q = 120 + b. Calculate the greatest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -285558, -0.07.\nAnswer: -285558, -79, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 474272417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5*z + 3. Let f be 4\/10 + 27\/(-5). Let t be u(f). Let w(y) = y + 4. Let i be w(-3). Which is the nearest to -1? (a) i (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let s(a) = 0*a**2 + 3 + 5*a - a**2 + 6*a**2 + a**v + 1. Determine s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -43. Let a = -17.5 + h. Let x be -8 + 5 - (-6 - 0). Sort a, -0.3, 1\/17, x in descending order.\nAnswer: x, 1\/17, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 5:00 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 84*s**4 - 3*s**3 + 34*s**2 + 5*s - 6. Let a(o) = o**3 + o**2 - o + 2. Let p(g) = 3*a(g) + m(g). Find the third derivative of p(j) wrt j.\nAnswer: 2016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/9, 1, 0 in ascending order.\nAnswer: -4, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*b = 48*b + 2754 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 - 30*r**2 + 15*r - 3. Let h be d(7). Let q = -3.05 + 0.05. Let y = -1 - -3. Which is the nearest to 2? (a) y (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7.2. Let q = -4.02 + 0.02. Let f = r + q. What is the third smallest value in f, -4, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8253, 16507, 24759, 33009, 41257, 49503, 57747?\n\"Answer: -u**2 + 8257*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4401 + 10391. Let j = -6630.6 + l. Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 9*a - 586 + 1120, 0 = -2*t - 5*a - 293 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 2, k: 1, r: 3, u: 6, v: 4}. Give prob of sequence ukul.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -68. Let n = k - 21.53. Round n to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -23, -22, -21, -20, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125.6 + 125. Which is the fourth smallest value? (a) -2\/7 (b) 0 (c) 3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71779\/355 > -201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 97*o + 100*o - 24, 6 = o - 4*o for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - 252?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 24*b - 38592. Does 67 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3961066 and 252834?\nAnswer: 11883198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**7\/840 - y**6\/360 + y**5\/120 + y**4\/2 - y**3 - 3. Let r(z) be the third derivative of t(z). Determine r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17730711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let t(d) = -6*d**2 - 6*d + 4. Let r(h) = -t(h) + 5*v(h). Give r(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*v**2 - 170 + 170 to j*v + k + q*v**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*u**4 + 13*u**4 - 11*u**4 + (2*u**3 - 2*u**3 - 2*u**3)*(-2*u + 0*u + 3*u) + u**4 - 3*u**4 + 3*u**4 - 3*u**4 - 2*u**4 + 6*u**4.\nAnswer: 39*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191.04 litres in millilitres?\nAnswer: 4191040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c82 (base 16) to base 7.\nAnswer: 12223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*s**3 + 25*s**5 - 17*s - 116*s**3 wrt s?\nAnswer: 500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 4. Let p be m(0). Let f = p - 2. Suppose 10 + 18 = 5*j - f*d, 5*d - 5 = 0. Solve 2*r + r - 10 = 4*b, -3*r - j = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -410*t - 92248. Determine y(-225).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36216 - 36214. Let o(n) = n - 2. Let t(v) = 6*v - 11. Let i(j) = -11*o(j) + 2*t(j). Let s be i(-4). Put -5, c, s in increasing order.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*16.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11826*a**5 + 25*a**2 - 4*a + 12 wrt a.\nAnswer: -709560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/15 - 8\/100*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p - r + 183, 0 = 4*r - 12. Suppose 44 = -p*j + 47*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2086)\/(-2)*(130\/(-35))\/(-13). Suppose 5*v + x = 2*k + 1736, 575 = 2*v - k. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133097 (base 13) to base 9\nAnswer: -776052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.476126 and -0.0407866?\nAnswer: 0.5169126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96411 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12261063 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from pxwxpwypyxwxxpp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 3. Let s be o - (9\/6 + -2). Do s and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**35*g**19*(g\/(g*g**(-10\/11)*g))**40 assuming g is positive.\nAnswer: g**(565\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 79 + (14 - 136)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a6 - 11a7?\nAnswer: -15a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532423 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/(-4*sqrt(11)*4 - sqrt(11)))**2.\nAnswer: 63\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -824.3?\nAnswer: 823.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-1 + 4) - -6. Suppose f = -4*i - 4*q + 29, 3*i = -2*q + 14. Solve 3*g + 1 = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1578 + -1528. Solve s*k + 1 = 49*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -533 + 529. Sort -0.01, r, -91, 4, -0.3 in decreasing order.\nAnswer: 4, -0.01, -0.3, r, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009254026 to six dps.\nAnswer: 0.000925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6)*2*((-66)\/9 + 3). Which is the biggest value? (a) 1 (b) -3 (c) -2\/5 (d) -1\/3 (e) u\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*-2*-1)\/(sqrt(42)\/(sqrt(18)\/sqrt(3)*-2)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*6\/9 - 3 - -3. Which is the fourth smallest value? (a) -1 (b) t (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102075 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84.67 + 85. Let l = w - -2.67. Let y = -8 + 7.7. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -26176?\nAnswer: -26174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 66*c**2 - 4*c + 1. What is the least common multiple of 7 and r(1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5598127*0.14\nAnswer: 783737.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 + 18 = 0. Let i = -2 + t. Suppose -l + i*l = -3*f + 87, f = -5*l + 45. What is the lowest common multiple of 9 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/1123 - -1179\/7861. Let q = 0 + -1. Let d = q + 1. Which is the third smallest value? (a) j (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00711259 + 9\nAnswer: 9.00711259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -10. Suppose x = u + 6. Suppose 5*w - 76 = 3*w. What is the remainder when w is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13852150 - 2.5179.\nAnswer: 13852147.4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3631 + 3630.985706. Round y to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*p + 5, 5*c - c = 5*p - 40. Let z(v) = 133*v + 153. Let i(n) = -264*n - 305. Let g(o) = p*i(o) + 7*z(o). What is the derivative of g(r) wrt r?\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*77\/(190190\/228) - (-856)\/13.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 24) + (12 + -12 + 20 - 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 + 1016*o**3 - 1028*o**2 - 2040*o = 0. Calculate o.\nAnswer: -255, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 1, g: 2, v: 1, h: 1, m: 1}. What is prob of picking 1 g and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i - 1. Let p be v(6). Find the third derivative of s - 56*s**3 - s - 83*s**2 - p*s**2 - 257*s**3 wrt s.\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 5*c**3 + c**4 + c**2 - 3*c**3 + 2*c**3 + 0 in the form n*c**3 + k*c**4 + w*c**2 + m + l*c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-405958)\/(-80) - (-2)\/(-5). Let x = 5087 + r. Calculate the common denominator of ((-4)\/(-6))\/(2*2\/8) and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44518*a + 4 + 4*a**2 + 8*a**2 + 5*a**2 - 18*a**2.\nAnswer: -a**2 - 44518*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 643 - 83 = 5*h - 5*w, -w - 332 = -3*h. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/217680 and -61\/43536.\nAnswer: 217680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 3*h)*(-2 - 1 + 1)*(4*h + 7*h + 5*h).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u**(1\/15))))\/u**(9\/5)*u**(6\/13)\/u**22 assuming u is positive.\nAnswer: u**(-4148\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148875 - 125356 = -4576*a + 168588 - 58435 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 1376*g**2 + 7 + 5.\nAnswer: -1376*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m + 1. Let n be (-4)\/8*1*-18. Let v(w) = w**3 - 9*w**2 + 3*w - 7. Calculate the least common multiple of r(7) and v(n).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 + 4*i + 11. Suppose -2*s - p + 50 = -3*p, 129 = 5*s - p. Suppose -9 = -7*c + s. Is v(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236468 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: Suppose 3331647 = 49*x - 1950112. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3002 + -3000. Put 39, r, 12 in decreasing order.\nAnswer: 39, 12, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 40 - (-64 - 14)) + (17 - 0)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52848 + 0?\nAnswer: -52848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16989848 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from urwwwrrwuuurrututr?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(384) + (2*(sqrt(384)*-2 - sqrt(384)) - sqrt(384))))\/((sqrt(90)*-1 - sqrt(90))\/(sqrt(80)*2 - sqrt(5))).\nAnswer: 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 2\/61 (c) 15 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = -28*p + 200. Solve p = 5*f - 10*f + 4*h, h = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 17 = 7. Suppose 14*u - 30 = x*u. Solve 0*j + j = -u*b + 25, j = 3*b - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let x be 37574 - -79 - -6*1. Let s(r) = -37659 + x + 3*r + 42*r**2 - 4*r. What is s(h(v))?\nAnswer: 42*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443*j**2 - 11*j + 10*j - 457*j**2 to u + c*j**2 + p*j and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from qqbbqqbqbbuu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 12) to base 3.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 5 - -4)*3\/18. Suppose 3*m - n = -0*m - 14, -4*m + 2*n = 22. Let p be (0 + m + 6)*1. What is the second smallest value in p, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -s + 94*m + 510, -4*s - 20 = 3*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 10 + -7)*9\/3. Let r = -1871\/35 - -263\/5. Sort d, r, -2\/7, 4.\nAnswer: d, r, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 m when four letters picked without replacement from {m: 2, k: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.87? (a) -6 (b) 87 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18974 + 26467. Calculate the remainder when m is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50046436*k**4*q + 11825*k**2 - 267*q wrt k.\nAnswer: -1201114464*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * -59.06.\nAnswer: -2893.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.7. Let t = 0 + m. Let q = t + -0.3. Which is the second biggest value? (a) 3\/4 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:37 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/5*((-14)\/(-21))\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttv when three letters picked without replacement from tvtttrrrkt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43552, -87114, -130686, -174268, -217860, -261462?\n\"Answer: -5*v**2 - 43547*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216792 and 60120?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101278*h*k**3 + h*k**2 - 32*h - 3*k**3 - k - 262 wrt k.\nAnswer: 607668*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f. Let u = f - -2. Is 161 + (2 - (4 - u)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {r: 4, p: 7, q: 6}.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -0.8. What is the third smallest value in -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.811937 kilometers to meters.\nAnswer: 5811.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2660 = 588*k - 626*k. Solve -65 = -27*t + k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-1\/3)*((n*n**(1\/2)*n)\/n)**(-2\/73) assuming n is positive.\nAnswer: n**(-3\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -1\/3 (c) 796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19755.28 kilograms?\nAnswer: 19755280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 410*v - 170. Let j(y) = -29*y + 12. Let a(p) = 6*d(p) + 85*j(p). Let u(i) = -10*i + 1. Determine -13*a(b) + 6*u(b).\nAnswer: 5*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 5099*i**4\/4 - 1807*i + 1453. Differentiate z(l) with respect to l.\nAnswer: 15297*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1009832493 rounded to five decimal places?\nAnswer: -0.10098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (-6 - (-3 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828404?\nAnswer: 2, 73, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001466467988 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54296 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4. Let g(m) = m**2 + 10*m + 15. Let x be g(-9). Let c be ((-80)\/x)\/(a\/(-3)). What is the highest common divisor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 5}. Give prob of picking 2 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19881 - -298384\/15. Let r(q) be the third derivative of -s*q**5 + 26\/3*q**4 + 4*q**2 + 0*q - 8\/3*q**3 + 0. Let r(l) = 0. What is l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -2, 3\/2 in descending order.\nAnswer: 187, 3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 1 - 56)*(-2*x + 15*x - 12*x) in the form k*x + a and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.65 + 4.35. Let q = 0.7 - z. Which is the third smallest value? (a) 2 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let m be 10 + -7 + -1 + c. Let w(u) = -u**3 + 5*u**2 - 5*u - 5. Give w(m).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 562623 and 7861.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -29, -4 in decreasing order.\nAnswer: -4, -12, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 322, 639, 958, 1279?\n\"Answer: s**2 + 314*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 559 = -541 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 - 103*h + 15. Calculate z(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:38 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9074 and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -1.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/2 + 128*k**3\/9 - 380*k**2\/3 + 800*k\/3 + 403. Suppose z(p) = 0. Calculate p.\nAnswer: 4\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1289.882l?\nAnswer: 1289882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 48, 77, 106?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -37. Let f = 16 - w. Solve -5*z = 11 - f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -110. Let q(o) = -9*o**3 + 5*o - 5. Let d(s) = -4*s**3 + 2*s - 2. Determine t*q(z) - 5*d(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 291.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyxyww. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 67\/6, 1, 101 in increasing order.\nAnswer: 1, 67\/6, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 2*u + 15)*(-u**2 - u**2 - u**2)*(3*u + u + u) in the form c*u**4 + x*u**3 + t*u**2 + h + n*u and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*t**3 + 28494794*k**3*t + 45074371*k**2*t**3 + 7*k*t**2 wrt t.\nAnswer: 6*k**3 + 270446226*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -1 + sqrt(275))) + 4 - sqrt(275))**2 - (sqrt(275) + -1)*-6.\nAnswer: -70*sqrt(11) + 1119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3\/5, 0.059, -0.23, -97?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 + 0*w**2 + 2*w**3)*(8154 + 11212 - 433 + 6716 + 13288) to s*w**3 + y*w + b + t*w**2 and give s.\nAnswer: 77874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1629 and 903.\nAnswer: 490329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300.5 + -300. Which is the nearest to -0.2? (a) -0.7 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1 + 0\/3. Let z = 669\/1165 + 6\/233. What is the smallest value in -4, v, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 2)*(q + 0 + 0) + (-7 + 9*q + 7)*(-1 - 2 - 1)*(-1 + 2 - 4) as i + n*q and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058 (base 14) in base 6?\nAnswer: 143514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 6. Let g(s) = s - 1. Let l(t) = -15*t + 3. Let a(c) = u*l(c) - 2*g(c). Calculate a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {g: 2, z: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - h**3 + h**3 - 4*h**3 + 4*h**3 - h**3 + (-3*h**2 - h**2 + 2*h**2)*(2*h + 2*h - 2*h) - 3*h**3 + 4*h**3 - 3*h**3 + 67684*h + 930*h**3 - 67684*h.\nAnswer: 920*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -2 + (-72)\/(-2) + -4 and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -346 (b) -443 (c) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 259, 259, 269, 295, 343?\n\"Answer: i**3 - i**2 - 4*i + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211422?\nAnswer: 2, 3, 167, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 7. Suppose 9*r - r + 48 = 0. Give a(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3469053135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12997300.961941 + 12997389. Let v = h + 0.954541. Let p = v - 89. What is p rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = -11. Let c(k) be the third derivative of 0*k + 1\/20*k**5 + 0 - 1\/24*k**4 + 1\/120*k**6 + 1\/2*k**3 - 2*k**2. What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 8*r - 8. Suppose 39*q - 37*q - 14 = 0. What is b(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 + 6*k + 2. Let n be i(-6). What is the third derivative of d**6 - 4*d**6 + 0*d**6 - 17*d**n - 10*d**6 wrt d?\nAnswer: -1560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**3 - 3*r**2 - 5*r - 1. Let t be (-4 - (-76)\/24) + 1\/(-6). Let o be l(t). Put 5, o, 4 in descending order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 - 0. Let j be 6*(1 + (-3 - g)). What is the tens digit of (9\/j)\/(3\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -837.945459.\nAnswer: -837.445459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 736*k**3 + 834*k**2 - 12511*k wrt k.\nAnswer: 4416*k + 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 - 6632*k**3 - 2*k**2 - 2079*k - 2 wrt k.\nAnswer: 12*k**2 - 39792*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*s + 7 - 42, 3*o - 4*s - 10 = 0. Let u = -2 + o. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/5 + 8*s**4\/5 + 2*s**3\/5 - 12*s**2\/5 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 15 - 17. Suppose 21 = n - t*v, -5*v - 75 = -5*n - v. Suppose n = -5*a + 2*y - 1, 5*a + y = -24. Put 1, 4, a in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w - 3*w - 5*w)*(-3*w + w + 0*w) + (2*w - 4*w - 2*w)*(3*w - 2*w + 3*w) in the form j*w**2 + x + k*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71504 is divided by 2554?\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040032041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 163*t + 128 + t - 3*t + t - 6*t + 4*t + 0*t + (3*t + t - 3*t)*(-1 - 1 + 0) - 3*t + 5*t + 4*t as b*t + p and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, e: 15}. Give prob of picking 4 d.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -5. Suppose -z + 25 = -v. Let t = 42 - z. Solve -t - 2 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55724 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.175 + 0.738. Let l = t + 0.057. Let q = l + -3.76. What is q rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 1 (c) 0.36 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - -1 - (-3)\/(0 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 7*k**2 + 8*k - 7. Let u be g(6). Suppose u*n = 1018 + 887. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 236, 266, 328, 434?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -0.2. Let g = k + 3.04. What is the closest to -1 in 1\/3, 4, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355 - -359. Let h(a) be the second derivative of 0 - 13\/6*a**4 + w*a**2 - 4*a - 10\/3*a**3 - 7\/20*a**5. Let h(p) = 0. What is p?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/2 - 3*r**3 - 9*r**2\/2 - 10*r + 8. Let g be f(-5). Let n = g + -1. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -2\/45, -0.2, -115, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.604*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30623355 (base 8) to base 11.\nAnswer: -373907a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -90. Calculate the remainder when c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*w = 161, -58366*w + 58369*w = 5*k - 79 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/180 and -17\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 23*w**2 + 20*w + 97. What is g(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (3 - 4) + (65 - 53) + -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1085 - -1136. What is the highest common factor of l and 2856?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 9355\/2482?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n - 13. Let p(u) = 9*u - 14. Give -2*p(g) + 3*x(g).\nAnswer: 6*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1138, 1136, 1134, 1132, 1130?\n\"Answer: -2*b + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 11 = 56. Let x be (-51)\/(b\/30*-1). Suppose -3*z + 915 = x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2790 and 5\/998076?\nAnswer: 14971140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f - f + 4*f + (2 + 4 - 4)*(2*f + 7*f - 4*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g**4\/9 - 634*g**3 - 48610*g**2\/9 - 1678*g + 3088 = 0. Calculate g.\nAnswer: -8, -1, 3\/5, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 - (3 + -23 + 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/167, 0, 2\/13, 0.3, -18, -3.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80446 and 17784.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + 39\/4. Suppose -65 = -3*k - 8. Let w = k - x. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - b - 1. Let q(j) = -4*j**2 + j + 1. Give -6*d(a) - 5*q(a).\nAnswer: -4*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let z(r) = r**2 + 2*r - 3. Let g be z(s). Let c = g + -13. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10 + 20) + 19\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4576 - -0.503. What is y rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 2*n**3 + n - n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3\/w*w*w\/w**(2\/53)*w)\/((w\/((w\/(w**(-14)\/w))\/w*w))\/w**19) assuming w is positive.\nAnswer: w**(2118\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -71.93?\nAnswer: -71.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20070 and 481903.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1627*b**2 - 1132*b.\nAnswer: 3254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 - 6*k + 3. Let t be j(6). Suppose -5*x - 27 = -t*i, -1 = -3*x - i - 6. Suppose 3*r = 2*r - 4. Sort -1, x, r.\nAnswer: r, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 796\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 328.4105 + 0.2.\nAnswer: 328.6105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 6 + w**3 - 3 + w**3 - 3*w**3 - 4*w. Let u be z(-4). Solve u*b + 10 = -g, g + 2 = 2*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-24))\/5*56\/(-63)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40.7 (b) 2\/3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -13629?\nAnswer: 38\/13629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 122*v**3 + 19454*v**2 - 39722*v - 59052 = 0. What is v?\nAnswer: -74, -1, 3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1422*z + 5698. What is the smallest common multiple of 5926 and k(4)?\nAnswer: 29630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.13 or -1\/28029?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988496.8 hours in days?\nAnswer: 124520.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2117 or 24\/7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = -4*f + 2*f, -4*l - 2*f + 16 = 0. Suppose -1425 = -3*n - g, -950 = -2*n + l*g - 9*g. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, 2, 0, 125, -4.\nAnswer: -4, 0, 2, 3, 14, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6*m = i + 18, -44 = -3*i + 5*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 + -1 - (-7 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(-2*sqrt(70) - sqrt(70)) + sqrt(70) - (sqrt(70) - (sqrt(70) + sqrt(70)*2*-2))))\/(sqrt(50)\/(sqrt(5)*2) + 5*(sqrt(30)\/sqrt(3) - sqrt(10))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 18 = 2. Suppose -2*z = -n*z - 28. Let b = 24 + z. What is the least common multiple of 5 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*m - 10*m**2 - 8*m**2 + 510*m - 16*m**2.\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129.38 * -1.\nAnswer: -129.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3543*b - 1474. What are the prime factors of c(-9)?\nAnswer: 17, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0.09516?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 5*h**4\/2 + 11*h**3\/3 + h - 1. Suppose 2*p - 35 = -39. Let l(v) = 2*v**3 + 2*v**2. What is p*j(i) + 11*l(i)?\nAnswer: 2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 12. Let m(d) = 2*d**2 + 5*d - 3. Let x be m(-6). Suppose 2*a - x + 3 = 0. Calculate the greatest common divisor of a and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 - 4*k + 4. Suppose -5*r = -5*o - 40, 28 = r - 0*o - 5*o. Let b be g(r). Calculate the greatest common divisor of 275 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 9*m**2 - 10*m + 8. Let f be c(-10). Suppose 0 = -4*p - 4 - f. Let q be -3 - p\/(12\/(-8)). Sort q, -4, 5.\nAnswer: q, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123342054 (base 6) to base 15.\nAnswer: 328924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((((j*j\/(j\/(j**(1\/4)\/j)))\/j)\/j)\/j))\/(j*j**(-10\/7)))\/(j\/(j*j*(j*j**13)\/j))**(-2\/7))**(-1\/34) assuming j is positive.\nAnswer: j**(-5\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 52*w**3 - 8 + 2.\nAnswer: -52*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j. Suppose v - 5*x - 2 = j, -3*v + 4*x - 8*x = 32. List the prime factors of 200*(-2)\/v*80\/50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - c. Let l(y) = -3*y**2 + 0*y + y + 5*y**2. Suppose 0 = -7*r + 12*r - 10. Suppose r*i + 4*h = 10, 4*i + 5*h + 7 = 24. Give i*l(m) + 4*s(m).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(((sqrt(28) + (sqrt(28) - (sqrt(112) + sqrt(28)) - sqrt(28)))\/sqrt(4) - (-1 + sqrt(7) + -3 + sqrt(7) + sqrt(7))) + -1)*-2)**2 + -3 + -1.\nAnswer: -200*sqrt(7) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 969953 = -2814*n + 2867*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8908 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 33 - 21. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 119\/3 - 7\/(-21). Suppose u = -5*l + l. Do -10 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrdrdrnnnnnr. Give prob of sequence ddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265 + 6)*((-12)\/63)\/(180\/(-135)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759402, 759418, 759434, 759450?\nAnswer: 759466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by 2\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 18. Let w be z(-15). Suppose 0 = w*t + 2*t. Solve -4*n + 2*q + 4 = t, -q + 8 = 3*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.731633 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7.3 (c) 3 (d) -0.1 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 4, -1\/5, -2, -1\/8, 0.0858, -0.6?\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 20723532 divided by 47314?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -1734*h + 1732*h + 142, 4*p - 4*p + 2*h = 2 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4\/3 (b) -0.3 (c) 4 (d) -30.84 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1768 divided by -1788\nAnswer: 442\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2 (base 14) to base 13.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q**5 + 26040*q**4 - 86416*q**3 + 103548*q**2 - 51738*q + 8620 = 0. What is q?\nAnswer: 1\/3, 1, 4310\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54314 divided by -487?\nAnswer: 54314\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 19. Let d be q(11). Suppose 5*a - 2*p - d = 0, 0 = -4*a + 7*a - 5*p + 1. Is a bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 276 - 965 + 54*f**3 + 106*f**3 + 45*f**3 wrt f?\nAnswer: 615*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-1 - -4) + 146 + -129)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5807304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 72*g - 28. Let c(z) = 48*z - 19. Suppose -4 = -h - 2, -4*j + h = -26. Let o(y) = j*c(y) - 5*a(y). Let q(f) = -36*f + 11. Give 8*o(p) - 5*q(p).\nAnswer: -12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 778 + -647. Suppose -2*k = -5*c + c - 8, -2*c + 68 = 5*k. What is the remainder when v is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1655 + 1646 - 3326. Let f(z) = -z. Calculate -3*f(w) - i(w).\nAnswer: 3*w + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 4, 2 in descending order.\nAnswer: 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -28.8?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555, -1110, -1665, -2220?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 175*c + 553 - 27 - 496.\nAnswer: -175*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -15, 0.05, 3, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2) - 0 - -2. Let s(r) = 6*r**3 - 4*r**2 + 2*r. Let t be s(x). Suppose t = 2*h - 3*y, 0 = 3*h + 2*y - 26 - 2. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/13 - 2769634*o**2\/13 - 5539262*o\/13 - 2769630\/13 = 0.\nAnswer: -1384815, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120040 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125877?\nAnswer: 3, 41959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420332232 (base 5) to base 8.\nAnswer: -6463415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11024311?\nAnswer: 11024311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-1) + 3 - -181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 36*y - 39*y - 37, 5*y - 4*a + 40 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2283091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414397 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -205683.7.\nAnswer: -205683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 = -4. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from oahlowl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, q: 2}. What is prob of picking 1 f and 2 q?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18829 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 8329.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4249682 = -23*r + s + 4249688, -30 = 5*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let r = 3.4 + k. What is the smallest value in r, 2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 + 4*m + 1. Let c be h(3). Let a(k) = k**3 - 9*k**2 + 4*k + 2. Let q be a(6). Let s = 248\/3 + q. What is the nearest to s in c, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 23*j - 9. Let f be a(23). Let l(k) = 11*k - 13. Let i(g) = 3*g - 3. Calculate f*i(b) + 2*l(b).\nAnswer: -5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 76*m**5 - 1274671*m**4\/4 + 11436543*m**3\/4 + 14010113*m**2\/2 + 23012*m = 0. Calculate m.\nAnswer: -2, -1\/304, 0, 11, 4184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000167 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*u = 8, -2*y + 122 = 2*u + 144 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 115165.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -137. Let w = -33 - g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, -1\/6, 0.68, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a + 7*a - 6*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14 - 8*a**2 + a - a. Let r(l) = 3*l**2 + 5. Let z be -10*1*(-2)\/4. Let c(s) = 2*s**2 - 3*s - 6. Let x be c(4). What is x*r(n) + z*u(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/(-34) - 3*8\/(-204). Let c(o) = 8*o - 7. Let m(v) = -v + 1. Let r(d) = c(d) + 2*m(d). Let t(l) = 17*l - 14. Give f*t(b) + 11*r(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*v - 46. Calculate the lowest common multiple of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22112397 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2, -3, 1\/219, 1\/7, -0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-12))\/(18\/(-36)). Let l = 256 - 259. Which is the second biggest value? (a) l (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u, 0 = -7*f + 2*f - u + 62. What is the first derivative of -f*s**4 - 4 - 2 + 19 - 6 wrt s?\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 1. Let w = 0 + 0. Suppose w = -3*q, 2*q + 2*q + 1 = -z. Give f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 90 = -1 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1910 is divided by 97?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1 + (-14)\/10). Let k be (2 + f\/3)*18. Let q be (-50)\/(-1 - (-9)\/k). What is q rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 12 + 2\/3*n**3 + 4*n**2 - 20*n. What is the units digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/12)\/(9\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20973 - -20973.1. Let w be 4\/(-6) + (-102)\/(-180). Which is the smallest value? (a) z (b) w (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**4 - 1600*y**2 + 791*y + 14 wrt y?\nAnswer: -48*y**2 - 3200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95675.\nAnswer: 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 39 - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -737 - 267?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*p - 25*p + 32*p)*(p**3 + 4 - 4).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 + 6*m**2 - 172 + 178 + 4*m)*(0 + 0 + 3*m)*(7 - 1 + 43) to z + t*m + n*m**3 + c*m**2 and give c.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/10)\/(1\/(-5)). Suppose 89 = b*c + i, -2*i - 22 = -2*c + 20. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3733901*k**4 + 3241425 with respect to k.\nAnswer: 14935604*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 + 680 = -4*o. Let b = o - -610. Let q = -424 + b. What is q rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35712107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/2*t**2 + 12*t - 1\/4*t**4 + 0 + 1\/6*t**3. Let c(w) be the first derivative of u(w). What is c(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -335086106, -335086107, -335086108, -335086109, -335086110, -335086111?\n\"Answer: -v - 335086105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -186953, 2, -3, 4 in ascending order.\nAnswer: -186953, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79262 <= 79259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-1500)*-15*(-1072)\/(-2345).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**(-1\/2)))**(-26\/5)*(j**(-1\/3)*j*j)\/j*j*j**(2\/5))\/((j*j\/(j**(-3)\/j*j)*j\/(j\/j**(-5)))\/(j**(2\/5)*j*j\/j**(1\/6)*j*j)) assuming j is positive.\nAnswer: j**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 151909562 to the power of 1\/2, to the nearest integer?\nAnswer: 12325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 969369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, 4, -2, 2, -71, 15 in increasing order.\nAnswer: -71, -5, -2, 2, 4, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/(z\/(z**(-1\/17)\/z)))**(3\/8))**(-7\/5) assuming z is positive.\nAnswer: z**(903\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -467702?\nAnswer: 4676ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101111131101 (base 4) to base 11\nAnswer: 2624256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - 86. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*6\/(-4). Suppose -14 = -4*d + p - 3*p, -7 = -d - 4*p. Does 3 divide (x - 0)*d\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13345668 and 157\/6672834.\nAnswer: 13345668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*m - 5, 47 = 2*m + 5*o + 22. Solve m = 6*b - 31 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/958392 and 155\/506124.\nAnswer: 792590184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 3*c + 646 - 2*c**4 - 648 + 3*c**3 - c**2 as x*c**3 + p*c**2 + k*c**4 + w + j*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (sqrt(891) + (1 + sqrt(891) - sqrt(891)) + 2 - sqrt(891)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - (-4 + -1))\/1. Sort v, -2\/19, 16.\nAnswer: v, -2\/19, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/672*(-1190)\/(-102).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1662869*d**5 + 3*d**3 - 105280*d + 3?\nAnswer: -33257380*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101786613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from zzgzzzgaagkatzk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -4712798260545.\nAnswer: -4712798260544.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.9, 5, 238, -0.1, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 1196. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {t: 6, p: 2, a: 1, l: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-3)\/(-6) - (-8 - -1). Suppose k = -3*y + 72 - a, -20 = -4*k. Let x(g) = y*g - 23*g + 9*g. Let w(n) = -n. Give x(w(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-294)\/(-35))\/((119\/140)\/(-17)). Let s(j) = 1708*j**2 + 168*j + 168. Let u(a) = -51*a**2 - 5*a - 5. What is w*u(n) - 5*s(n)?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(((o**(4\/5)\/o)\/o*o)\/o))*o**0 assuming o is positive.\nAnswer: o**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-14))\/(11\/(-77)). Suppose 0*z = 3*z + y. Let l be -1*(-2)\/(-2) + 0. Sort z, -3, l in decreasing order.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*j = 10, -20*j + 5 = -15*j. Let r = -0.3 + 1.3. Let y = r + -1.5. Which is the third biggest value? (a) 1\/7 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -22*d + 3*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -74.9. Let g = 0.04 - -0.06. Put g, d, 3 in descending order.\nAnswer: 3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 3 - 529*j + 482*j - 498*j**3 wrt j.\nAnswer: -2988*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 8*s - 5720. What is the highest common divisor of s and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in 0.04, -2272, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r - 5*w - 19, -r = w - 3. Let y be -1*r\/(-3) + 2. Let h be 4\/8 - (-38)\/y. Which is greater: h or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*y + 7. Let s be y\/(3\/2 - 4). Solve j + 2 = -z + 7, 5*z - 22 = -s*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 6:52 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/(-1008))\/((-2)\/(42\/9))*342\/(-6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24476 and 2532?\nAnswer: 73428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301828?\nAnswer: 2, 61, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from ohooohooohcpvopopop?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/7 at most as big as 0.075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9472, -18897, -28276, -37603, -46872, -56077, -65212, -74271?\nAnswer: -83248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2. Let s(v) = -8*v + 24. Let p(j) = 1. Let b(z) = -2*z - 53. Let c be b(-26). Let q(k) = c*s(k) + 24*p(k). Give q(m(t)).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*t**3 - 3)*(2*t + t + 4*t)*(1 - 2 + 5)*(-1 - 2 + 7 + (-1 - 3 + 2)*(2 - 5 + 1) - 2 - 1 + 4 + 3 - 3 - 1 - 3 + 4 - 3).\nAnswer: 336*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*z**2 - 2 + 7495445*z + 26*z**2 - 7495445*z.\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -360465, -360452, -360415, -360348, -360245, -360100, -359907, -359660?\n\"Answer: j**3 + 6*j**2 - 12*j - 360460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5168 and 0.3.\nAnswer: -1550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = y + 5*k, -3*k - 23 = -8. Let u(i) = -22*i - 1. List the prime factors of u(y).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 519853*g - 983091.\nAnswer: 519853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 20 + 8 = 0. Suppose 38 = 5*r - z*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l + 3. Let g(r) = -22*r + 2. Let q(y) = -3*a(y) + 4*g(y). Suppose -227*c + 252*c - 1725 = 0. What is the remainder when c is divided by q(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -57.87, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001149 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29641680 by -6.\nAnswer: 4940280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (1 + (-3 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -16, -13, 2 in ascending order.\nAnswer: -16, -13, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-2380)\/(-1904)). Sort -2\/17, 12, j, 4\/9, -1\/2.\nAnswer: j, -1\/2, -2\/17, 4\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = i + 11, -5*i + 10 = 2*d - 4. Let o = d - -4. Calculate the remainder when (1\/2)\/(o\/82) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/3 (b) -2\/7 (c) 16119\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -10\/7, -58, 1\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3367*o = 3336*o + 82 - 733 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from arrrarrrraarvraru.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26 - -25)\/(2\/(-66)). What is m in z*m + 1 + m**2 - 14*m - 17*m = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 98*l + 770 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6300 = 9*k + 81*k. What is the remainder when 206 is divided by k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of ((-1741)\/5)\/(128\/(-640))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 16. Let i = 7.6 - w. Let s = 0.4 - i. Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35803a - 17?\nAnswer: -358055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from {t: 4, n: 1, p: 4, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 12. Let r be z(7). Suppose -3*n + 10 = -r. Solve -4 = 2*d + n*a, -2*a = a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 4. Suppose 3*x - 2*a = 25, -18 = -4*x - 3*a - p*a. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/47509?\nAnswer: 1\/47509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b112 (base 12) in base 10?\nAnswer: 19166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c + 69. Give i(46).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 1 + 0 - 8*i**2 - i**4 + 9*i**2 + 3 in the form o*i + p*i**4 + s*i**2 + t + b*i**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -0.9. Let z be -3 - (-4 + -2 - (-28)\/7). Let w be (-14)\/(-4)*(z\/(-7) - -1). Which is the closest to -0.1? (a) -3 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*k, -2*k + 7*x - 3*x = 8. Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -5, 0.01, 0.073, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3\/6 - 53735*h**2\/6 - 80635*h\/3 + 107500\/3 = 0. What is h?\nAnswer: -4, 1, 10750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68396?\nAnswer: 2, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**3 - 4*n**2 - 4*n + 41. Let k(z) = -z**3 - z**2. Let m(s) = -4*k(s) + w(s). Find the first derivative of m(u) wrt u.\nAnswer: -9*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 11 in descending order.\nAnswer: 11, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 121309 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 450 = -36. Suppose 0*q = -2*r + 2*q + v, 4*r + 2*q = 108. Let o be ((-1 - -36) + -2)\/(r\/(-36)). Is o <= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 5 - 12*y + 11.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*h**4 + h**2 + 138*h + 81368?\nAnswer: 36*h**3 + 2*h + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1136*b + 1179*b. Suppose y + 31 = -2*k - 69, 2*y + 96 = -2*k. Let s = -33 - k. Solve -2*m - 5*q + 21 = b, m + 5*q + 1 = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*2)\/(-3*1064\/114)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396652344*r**2 + 2*r + 39944662 wrt r?\nAnswer: -793304688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52)\/sqrt(4) + ((2*sqrt(39))\/sqrt(3))**2)*-3 + -5.\nAnswer: -161 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1884 and 164981252?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14222?\nAnswer: 2, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14463, -14464, -14465, -14466?\nAnswer: -14467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.55 - -0.55. What is the smallest value in 0.3, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2605.2*-105.15\nAnswer: -273936.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60624 or 60619?\nAnswer: 60619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3612370609*s**2\/7 + 2163708*s\/7 + 324\/7 = 0.\nAnswer: -18\/60103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/7)*y*y\/y**2*y**5*y\/(y**(-1)*y)*((y*y*y\/((y**(-8)*y)\/y)*y)\/y**(-7\/5))**41 assuming y is positive.\nAnswer: y**(19464\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -5, -25, 1\/3, 8, -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*d + 2*j, 0*d - d + 3*j = -38. Suppose m + 2*b + d = 5*m, 65 = 5*m - 5*b. Calculate the remainder when 25 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -121?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4\/8 + 118*h**3 + 56919*h**2\/4 + 468062*h + 3631601\/8 = 0. Calculate h.\nAnswer: -809, -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.6 - 43.225. What is g rounded to one dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 231, 233?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 11*x - 15. Determine p(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-65) - 0\/(-1). Let v = -0.216 - -0.116. What is the third biggest value in v, 2\/5, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131246571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 + 111?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14625, 28548, 42471, 56394?\n\"Answer: 13923*u + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -3 (c) 4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8 + 10 = 0. Suppose 4*m = v*m - 2*m. Solve -5*b - 5 + 30 = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-1)\/3 + 1\/1. What is the closest to i in 8, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 1 + 1 + (-5*t + 2*t + 2*t)*(2*t**2 + 0*t + 0*t) + 5*t**3 - 6*t**3 - 8*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 3)*(0*x - 2 - x + 6*x)*(x**2 - 2*x**4 - x**2).\nAnswer: 60*x**5 - 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 33*h + 364. Determine f(-18).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 <= 4463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.1 - -17.1. Which is the nearest to o? (a) 2\/5 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530 - 184 - 151 - 195 - 27*w**2.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y + 2*y - 3*y)*(-3*y - 3*y - 2*y)*(5 - 3 + 0 + (5 - 2 + 27)*(-2 + 4 + 0)) as r*y**2 + j*y + h and give r.\nAnswer: 3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20 = 2*w, -12 = -4*s + w + 8. Suppose 5 = -4*a - v, 2 = -s*a + v + 2*v. Put -5, -11, a in decreasing order.\nAnswer: a, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19939 (base 15) to base 7.\nAnswer: -464133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -62.\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.83034?\nAnswer: 0.166068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 4. Let f(d) = d**3 + 3*d**2 - 3*d + 1. Let z be f(2). Solve -t - z = o*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212371077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -424, -387, -352, -319?\n\"Answer: -j**2 + 40*j - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfgffffffg. What is prob of sequence ff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/(-42))\/5)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 + 6*l + 5. Let g be a(-6). Suppose q - 4 = -p + 5, g*q = -2*p + 24. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2854 = 2854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*i - 21*i + i**4 - 11*i - 13*i**3 to l*i + t*i**4 + y*i**2 + b + m*i**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 804 - 804. Let g(t) be the third derivative of 0 + 0*t**4 + d*t - 1\/20*t**5 - 2*t**2 + 0*t**3. Let v(u) = -2*u**2. What is g(v(q))?\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 15*w - 6. Let p be m(-6). Let g be ((-4)\/14)\/((-12)\/p). Let l(o) = -8*o - 5. Let d(v) = 2*v + 1. Give g*l(n) + 9*d(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6340663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/4 + 4)*(1 + 106). Is 28 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5) + 2688\/(-35). Let j be (-22)\/z - (-33)\/7. Suppose j*l = 612 + 63. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 6. Let t be j(-5). Suppose 3*m + 10 = -l - t, -4*m - 36 = l. What are the prime factors of -6*l\/4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5387340 divided by 210\nAnswer: -25654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 3*(-44)\/116)*(-20)\/40?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 31?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117396*p**4 - 2*p**3 - 256*p**2 - 146938707*p.\nAnswer: -1408752*p**2 - 12*p - 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240797 is divided by 418.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 3*n**2 - 6*n + 4. Let k be t(4). Let q = 159 + -164. Which is the closest to -5? (a) 5 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4 and -76\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 139.\nAnswer: 10\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -44*z - 158. Calculate k(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 0*q - q)*(5 - 5 + 2) + 88*q - 49*q - 52*q + 4)*(3*q**4 - 7*q**4 + 3*q**4).\nAnswer: 17*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -31*t - 4*t**2 + t**3 - 1 - 12 + 35*t. Let u be d(4). Solve -5*h - u = -28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5\/2 - 15*g**4\/2 - 21*g**3\/2 + 3*g**2\/2 + 12*g + 6 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12311410 + -2?\nAnswer: 12311403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 30*a - 10. What is the least common multiple of 3 and p(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -300988 and 2.4?\nAnswer: -722371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25152084 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**8\/2880 - v**5\/60 - 2*v**2. Let s(k) be the third derivative of q(k). Let y(l) = 2*l**2. Determine s(y(b)).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crucrrmcrcucumcrcmm. Give prob of sequence umum.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 5*b**2 - 4*b**2)*(-2 - b - 4*b**2 + 2*b + b).\nAnswer: -4*b**4 + 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*l - 10 = 0, 4*d + 30 = d - 3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75.8 + -14.2. Let i = k - -89.918. What is i rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**3 - 9646*q**2 + 3482512*q + 324705512.\nAnswer: 2*(q - 842)**2*(3*q + 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187608 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*12\/6*(-105)\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 22\/6)*34\/(-408)*-72.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 726 - -14706?\nAnswer: 15432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4739 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -250218 and 1?\nAnswer: -250218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**3 assuming z is positive.\nAnswer: z**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2106)\/(-27)*24*6\/27. Solve g = 2*x + 414 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12480 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:50 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37333 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:56 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8840061ug in grams?\nAnswer: 0.0000008840061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -0*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2. Let o(u) be the first derivative of 0*u**3 + 0*u**4 + 4 - 1\/60*u**5 + 0*u - u**2. Let k(v) be the second derivative of o(v). Give k(x(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32386, -32383, -32380, -32377, -32374?\nAnswer: -32371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 2 + sqrt(833) + (sqrt(833) - -5*(sqrt(833) + -2)) + (-3 + (sqrt(833) - (2*sqrt(833) - sqrt(833))))*-6*5))**2.\nAnswer: 198450*sqrt(17) + 1184450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2376 = 2*y, 3*y - 6*y - j = -3564. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (12 - (4 + -2 - 1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 120 = 16*i. What is the units digit of (i\/10)\/((-13)\/(-195))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/((-5376)\/(-4680)))\/(3\/4). Sort -5, c, -0.1 in decreasing order.\nAnswer: -0.1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -239*m**5\/20 + m**4\/6 - 169*m**3\/6 - m**2 - 3360*m. Find the second derivative of d(s) wrt s.\nAnswer: -1434*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/3 + 8*u\/3 + 4\/3.\nAnswer: -(u - 2)*(5*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(6\/((6\/(-11))\/(2\/(-33))))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -19. Calculate the highest common divisor of 132 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849227, -848946, -848667, -848390, -848115, -847842, -847571?\nAnswer: -847302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b5 + 1?\nAnswer: -6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2608, -2609, -2610, -2611, -2612?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1.29 (b) 30\/11 (c) -2\/9 (d) 0.11 (e) -3 (f) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.39 + -0.09. Sort -1, s, 2\/17 in descending order.\nAnswer: s, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4 + sqrt(425))*-6)**2.\nAnswer: -1440*sqrt(17) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27605625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/401969 and 65\/53774?\nAnswer: 129434018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 86*j - 6502. Calculate z(75).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 - 125. Calculate the remainder when d is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77641854 to the nearest integer?\nAnswer: 8811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*j**3 + 2*j**2 - 12*j**3 - j**4 + 6*j**3 to i*j**4 + v + x*j**3 + c*j**2 + p*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/12)\/((-4)\/(-12)))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683424654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/((-33)\/110). Suppose -u*n + 15132 = l + 2*l, 0 = n - 3. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - 2*a)*(-13 - 1 + 2)*(-2 + 7 + 17).\nAnswer: -264*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose 4*o - 90 = 2*o + 3*j, 2*o - n*j - 94 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {i: 1, j: 2, k: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 + 2*a - 4. Let h be n(-4). Suppose -b - 37 = -2*s, -30 = 5*b - 5. Calculate the highest common factor of h and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25376441 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 79\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 5*x**2 + 15*x + 24. Let a = -4431 - -4424. What is s(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (1600\/30)\/(4\/(-66)). Let s = y - -1651. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 95*z + 53*z)*(-777 + 777 + 110*z**4).\nAnswer: -4730*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-30)*75\/350*-14. Which is the closest to 0.1? (a) 0.1 (b) f (c) 40 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -951, -1\/153, -1\/7.\nAnswer: -951, -1\/7, -1\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b49 (base 12) to base 3.\nAnswer: 10020120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69)\/(-9) - (-2)\/(-3). Suppose 0 = g*f + 36 + 13. Let m(w) = w**2 + 10*w + 10. Determine m(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v + 2*v - 2 - v**3 + 4*v.\nAnswer: -(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose d - 13 = -3*r - d, -c*d + 12 = 3*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31335 (base 9) in base 12?\nAnswer: -bb7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13952 + -3759. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose -2 = -v*m + 4*i, -2*m - 5*i - 2 = 5. Let g(z) = -2*z**2 + 5*z. Let d(j) = -4*j + j + 4*j. Determine m*g(h) + 5*d(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22332221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, t: 12}. Give prob of picking 2 e.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**19)*t)**(-46)*((((((t**(1\/4)\/t*t*t*t)\/t)\/t)\/t)\/t)\/t)**(-2\/89) assuming t is positive.\nAnswer: t**(-171937\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-213)\/54*3\/(-8) and -10*104\/(-450)*(-25)\/10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875015?\nAnswer: 5, 175003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 929*b**2. Let u(l) = 4*l + 1. Determine n(u(h)).\nAnswer: 14864*h**2 + 7432*h + 929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003614 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(275)*6 - sqrt(11)) + 3).\nAnswer: -145*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:03 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -27 + 7 + 1 + 4 + -3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Suppose -k*b = -4*a + 3 - 5, 2*a + 10 = 4*b. Suppose -b*u = -2*x - 3*x + 9000010, u - x + 3000002 = 0. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64\/3 + 22. Which is the nearest to 0? (a) -1 (b) k (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/4 + 4*j**3 - j**2\/2 - 6*j + 4. Let f be d(-12). Is (f + -3)\/(2\/94) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5864 greater than or equal to -5883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 352157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 13*g + 20. Suppose 41*x = 40*x. Let r be m(x). Solve 0 = -r*l + 19*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.4 + -50.4. What is the closest to 3 in b, 2.9, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274 take away -278.832?\nAnswer: 4552.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103185*u**3 - 2*u**2 + 173593*u + 2 wrt u?\nAnswer: -619110*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**2 + 9*x - 9. Let z(l) = -2*l**2 + l - 1. Let h(b) = i(b) - 9*z(b). Let d(y) = 17*y. What is h(d(k))?\nAnswer: -867*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 9. Let z be 3\/2 + (-6)\/(-12). Let k = 15 + -5. Suppose 0*c = z*c + k. Determine a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 7583317\nAnswer: -379165.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 18*d. Let y(q) = 0 - 6 - 9 + 15 + 100*q. Give b(y(w)).\nAnswer: 1800*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-578500)\/10680)\/(20\/24).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6 = -24*x - 46, 124 = -4*x + 14*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:58 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -1\/9 (b) 5 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3845*n**3 + 7 + 6 - 88*n**2 - 3843*n**3 + 7690*n**3.\nAnswer: 2*n**3 - 88*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(14\/3)*k)*k**(-8\/5))**(9\/2) assuming k is positive.\nAnswer: k**(-237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let n(t) = -t**2 - 7*t + 4. Let y be n(-8). Let m(v) = v**2 - 2*v. Let c(g) = y*z(g) + m(g). Let b be c(4). Let o(w) = 2*w. What is o(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s - 3. Let g be v(-2). Let y(h) = -h - 5. Let m(x) = x + 3. Let q be 0\/(-1) + 8\/(-4). Let n be q\/(-6) - (-16)\/6. What is g*m(d) + n*y(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*t + 2*t - 10 = 0, -3*i - 5*t + 11 = 0. Suppose 0*a + 2*a - 166 = -i*o, a - 5 = 0. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611542 is divided by 492.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8787000 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5282 and 342.\nAnswer: 47538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4238*d - 67943. What is b(-16)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 15. Let x be h(-4). Put 2, x, 1 in descending order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75311\/10127325 + -62\/4225. Find the common denominator of t and 107\/10.\nAnswer: 23970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from hhlwhlwull.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000346933 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**3 - 2*q**2 - q. Calculate the lowest common multiple of y(-1) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 381.4269um?\nAnswer: 0.03814269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2\/9, 267, 1\/4, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4685.21 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37821 * 0.02.\nAnswer: -756.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - m**3 - 3*m**3 + (-3 + 3 + 2*m**2)*(-2*m + 0*m - 2*m) + 4*m**3 - 2*m**3 - 8*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 31*s + 4*s**2 + 8*s**2 - 15*s**2 + s**2 - 30. What is the remainder when 55 is divided by d(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122306759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i = -85*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 31*c - 4. Let w(s) = 94*s - 11. What is 17*u(o) - 6*w(o)?\nAnswer: -37*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-1)\/sqrt(6) + sqrt(50) + 6*sqrt(100)\/sqrt(2))\/(sqrt(80)\/(sqrt(24)\/sqrt(3)) + sqrt(120)\/(sqrt(12) + sqrt(432)))*-3.\nAnswer: -63*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88519 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (-1*sqrt(228)*5 - sqrt(228)))\/sqrt(12))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227.21 * 33.\nAnswer: 7497.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + h + 18*a - 24 - 24 = 0, -4*a + 0*a + 20 = -5*h - 14 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 330.96958 + -330.62. Let y = 0.35 - x. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526273 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 27*g**2 + 99*g + 131. Let x(z) = 6*z**3 - 82*z**2 + 296*z + 392. Let m(c) = 8*h(c) - 3*x(c). Let m(u) = 0. What is u?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130657430?\nAnswer: 2, 3, 5, 7, 1201, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + 112001002?\nAnswer: 111221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 187880786\nAnswer: -939403930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306800 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/32 - (605\/35 + -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*g + 2)*(2*g**2 - 3*g**2 + 2*g**2)*(1 + 5 + 0).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 9. Let y be q(-11). Let f be 256\/(-10) + y\/50. Let k = f + 31. Solve 2*c + 1 = 4*t - 1, -3*c = k*t - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/243031703?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 26*q + 24*q - 66 = 0, u - 2*q = 24. Which is bigger: u or 0.075?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77198723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13204051 (base 6) to base 8.\nAnswer: 1524177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 - 5457\/323 - (40\/19 - 2). Does -6335 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/49)*((r*r*r**(1\/7))\/r)\/r*(((r\/(r*r\/(r*(r\/(r\/((r*r**(-3)*r*r*r)\/r*r)*r))\/r)))\/r)\/r)\/((r\/r**(-13)*r)\/r) assuming r is positive.\nAnswer: r**(-824\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 294352557 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-6)\/(-9) + 5 + -4. What is the closest to s in 3\/2, 5, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908196 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, -25.1, -2\/3, 732, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 43*f**3 + 4*f**2 - f - 1. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k + 11*k + b + 15, 8*b = 6*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/(-91)*(-86469)\/2456. Let a = u - -2\/3991. Find the common denominator of a and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1600, 1575, 1548, 1525, 1512?\n\"Answer: c**3 - 7*c**2 - 11*c + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:35 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.22 + -19. Let x = -0.2 + w. Let n = -0.003 + x. What is n rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.075 and -3.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 + 12. Let g = -7 - u. Suppose -3*k + 6 = 3*z, -4*z + 0 = 8. Put -1, k, g in decreasing order.\nAnswer: g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11132+-4520080.1\nAnswer: -4531212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - 0.022296.\nAnswer: -19.022296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/4)\/((-51)\/(-8)). Let q = 154 + -153. Which is the nearest to q? (a) 0.1 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 205*j + 1793*j + 2)*(7*j**2 - 2*j**2 - 2*j**2).\nAnswer: 5994*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4948929ml to litres.\nAnswer: 0.0004948929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(35\/(-5) - 458\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98041222373 - -0.3.\nAnswer: 98041222373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/(-1890))\/((-4)\/(-10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -403, 22, -2, -1 in ascending order.\nAnswer: -403, -2, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -268 (base 10) to base 16\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -139135 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {m: 2, o: 2, n: 7, f: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -1 (c) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -17*y**4\/24 - y**3\/3 - 158*y**2 + y. Let t(o) = -6*o - 1. Give -3*g(w) + 8*t(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1030 + 3?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:27 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -1357 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -609, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 31*c + 1284 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379651\/28 + -13557. Let f = z - 19\/7. Which is the third biggest value? (a) f (b) 2\/5 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba38a - -2?\nAnswer: ba38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + (-65)\/(-20). Suppose -2*v = -c - 7. Solve 5*g + v*b = -15, -b - 3 = 3*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f - 63. What is the remainder when f is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + 2 + sqrt(72) + sqrt(72))*3)**2.\nAnswer: 360*sqrt(2) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2940 and (1 - (-86)\/(-180)) + 4\/3?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d**3 + 9*d**2 - 5*d - 3. Let a be 3\/(18\/15)*36\/30. Is o(a) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -79 + 52 + -52 + 1 + -1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**2 + 10*u**2 - 6*u**2 + (-2 + 1 - 1)*(-2*u**2 - 2*u + 2*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 217. Let q = i + -112. Suppose -5*y = 5*l - 3720, -5*l - 5*y + 3722 = -q*y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*h - 68, -h + 3*h = -4*j - 38. Let w be (-40)\/(-3)*(-9)\/6. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 23*u + 16. What is the lowest common multiple of 46 and d(8)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 36570065.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6) + 1*sqrt(6)) - -3*(sqrt(54) - sqrt(6)))\/(sqrt(14)\/(sqrt(7) + -1*sqrt(28))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(405) + -1 + (0 + 1*sqrt(125))**2.\nAnswer: 9*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s = 323*s - 154740 - 34830. What is the smallest common multiple of s and 712?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1770 by -885.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**2 + 7*a - 51. Is 9 a factor of r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 25040*o - 4 - 25047*o + 4. Let i(u) = -4*u. Calculate h(i(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 3, g: 3, o: 3, l: 3, e: 4}. What is prob of picking 2 c and 1 e?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 207?\nAnswer: 13869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u + 43. What is j(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -59.5. Let y = 62 + l. Let u = -36 + y. Sort u, -1\/3, 2 in descending order.\nAnswer: 2, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 3684*l**2 - 3400320*l - 13542400.\nAnswer: -(l + 4)*(l + 1840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x + 17*x - 23*x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*c + 64*c + 2360 + 664 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38709.952 - -38826. Round l to 0 decimal places.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/47762 and -67\/13026.\nAnswer: 143286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5638? (a) 1 (b) -0.4 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 5*s - 448 = 2*b, -4*b = -5*s - 332. What is the remainder when b is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2\/70287?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/4 - 23*y**3\/3 + y**2\/2 + 42*y - 248. Let u = -62 + 39. What is the remainder when t(u) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0191 - 79.0809. Let t = 76 + s. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83712 and 22672?\nAnswer: 1088256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r + 945, 2*u - 3*r - 146 = 14 - 59 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by 8066\nAnswer: 52\/4033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-176)\/112 - 1) + 1*2. Let z = 143 + -2857\/20. Which is the smallest value? (a) 2\/3 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:17 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.5, -103?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1009*-16.2\nAnswer: -16345.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + 0 + 0 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5075888?\nAnswer: 2, 19, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 175*m**2 - 29*m - 5509. Determine q(-175).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - v**2)*(2*v - 5*v + 2*v - 2) + 0*v**3 + 2*v**3 + v**3.\nAnswer: 4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unu when three letters picked without replacement from {n: 3, s: 4, h: 1, a: 2, u: 6}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17\/(q\/(q\/((q**17*q)\/q))))**(1\/2) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 22. Let b be p(-6). Suppose -5*a + 875 = 2*y, 3*y - 712 = -b*a - y. What are the prime factors of a?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2933469 and 918.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 648.4 + -648. Let f = -35\/51 - -6\/17. Put -28, a, f in descending order.\nAnswer: a, f, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -320 and -1719.557.\nAnswer: 550258.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1351, -2747, -4143, -5539, -6935, -8331?\nAnswer: -9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c - 4*c - 5*c - 7 + 11*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.5 + 19.6. Let n = c - -12. Let j = n - -2.9000034. Round j to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 1, d: 2, n: 5, q: 2, l: 1}. What is prob of sequence ntnq?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 4)\/(5\/(-480)). Let s = -92 + r. Suppose 0 = 2*k + 5*l - 109, 6*k - 4*k + 2*l - s = 0. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13800028*x + 72069192 wrt x.\nAnswer: 13800028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3098*k - 3128*k + 180 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 17. Let v(q) = q - 1. Suppose s + 5*x + 47 = 16, 3*x = s - 9. What is s*v(k) - d(k)?\nAnswer: -3*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 6 = -2*m, 4*m = 8*m - 14*x - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-571344*w + 542752*w + 19 - 19)*(3*w - w + 0*w)*(0*w + w + w).\nAnswer: -114368*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/12 + (-2)\/(-8). Let q(t) = -t**3 + 4*t**2 + 7*t - 2. List the prime factors of q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/11)*p**(1\/6)*p)**(-19\/5) assuming p is positive.\nAnswer: p**(-2489\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.05, 0, -437, -4, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-21)\/15) + -8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -23.999999972. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - m - 5, -2*x + 5*m - 65 = 3*x. Suppose -9*z - 656 = 7*z - 144. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/((-868)\/136) + (-1)\/(-1). Suppose 3*x - 83 = -3*k + 2*k, -318 = -4*k + 2*x. Let g = -81 + k. Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let g(n) = -7*n**2 + 8. What is g(y(d))?\nAnswer: -7*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -c + 9 + 20, 4*c = -3*l + 134. Let u(j) = -j**2 - 13*j - 17. Let x be u(-12). Let n = x + 14. What is the remainder when c is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a574 (base 11) in base 7?\nAnswer: -55543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4642, -20 in descending order.\nAnswer: 7, -20, -4642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942983997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-8))\/((693\/588)\/(-3))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -151. Put 0.3, 11, w, -0.5 in decreasing order.\nAnswer: 11, 0.3, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173.5 - -173. Let z = -0.07 - 0.23. Let l = -0.2 - -0.1. Which is the closest to l? (a) z (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + k**2 - 3*k**2 + 15*k**2 - 2*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6244, 3, 52.\nAnswer: -6244, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.094 + 0.174. Let w = -1.92 - g. Which is the closest to 1? (a) 1 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ade when three letters picked without replacement from {e: 2, a: 4, s: 4, d: 4, v: 6}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 24 = 0. Suppose z*b - 2*b - 28 = 0. Let i be 6\/(-18)*3 - (2 - 1). Sort -5, i, b.\nAnswer: -5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 + -52993877630\nAnswer: -52993877489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4\/5, 2, -7.054, -1?\nAnswer: -7.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152350439*c*d**3 + 46*c - 961392*d**2 wrt d.\nAnswer: -914102634*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3817 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68913 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g**2 + 82. Let o(d) = 40*d. Give o(n(b)).\nAnswer: -560*b**2 + 3280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 22*m + 13*m. Let q(z) = 4*z + 4. Give q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 2*m - 4. What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/2, -6740, 2\/7, 4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -114.197, -0.1, 6 in decreasing order.\nAnswer: 6, 3.1, -0.1, -114.197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**5 - 4*b + 2*b**2 + 4*b wrt b.\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872) - (1*sqrt(3872)*5)**2) + (-1 + sqrt(3872)*-1 - sqrt(3872))**2 + (6*((sqrt(320) - 1*sqrt(320)) + sqrt(320)) + sqrt(320))\/(sqrt(810)*-1).\nAnswer: -81311 + 1952*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-1) - 4) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (2 - 1) - -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733 - 733 - 6*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.88 - -14.2. Let o = -0.02 + v. What is o rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21870137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 304.2, -10.16, 3\/7?\nAnswer: 304.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 14. Let s be b(17). Sort 1, s, 4, -3 in increasing order.\nAnswer: -3, 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16110.33 minutes to seconds.\nAnswer: 966619.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13.2. Let d = o - -7.2. Let q = d + -6. Which is greater: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-2))\/285)\/((-27246)\/90820)*-18\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-9)\/60)\/(204\/(-136))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 3019488.\nAnswer: 66428736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v + 6. Calculate the remainder when 39 is divided by 6 + v - (-7 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:08 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(4 + 44\/(-8)). Let c be (-15)\/9 - n\/(-3). Let p be ((-17)\/(-34))\/((c\/(-6))\/1). Solve -p*t = -9 + 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139*o**3 - 276*o**3 + 130*o**3)*(3*o - 6*o + o).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f - 2. Let t be d(-1). Suppose -t*y = -14*y + 755. What is the derivative of -6*b**4 - 105 - 73 + y wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**5\/60 - t**4\/8 + t**3\/3 + 15*t**2\/2 - 16. Let q(g) be the second derivative of m(g). What is q(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 632270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 515*l**2 + 19*l + 45. Is 278 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Let g = 19 - 48. Let w = 25 + g. Which is the third biggest value? (a) v (b) 0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - -1*(sqrt(200) + 1)) + (sqrt(200) - (0 + sqrt(200) - sqrt(200)))*-5 + 3 + sqrt(200) + 1 + (-1 + sqrt(200))*-6)**2 + -1.\nAnswer: -1760*sqrt(2) + 12920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3527969, 7, -2 in descending order.\nAnswer: 7, -1, -2, -3527969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24739 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i = 3*z + 219, 213 = 4*i + 3*z. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p**2 + 2*p. Let r be z(-1). Let m = r + -13. Calculate the remainder when 45 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 10*x = 16. Let v(y) = y**3 + 15*y**2 - 15*y + 18. Let q be v(x). Solve 2 = 3*a + s + 14, 3*a = q*s - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450*p**3 - 4*p**2 + 4*p**2 + 4290*p**3.\nAnswer: 2840*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 480168 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.4, 4\/3, 2\/11, -0.860907 in decreasing order.\nAnswer: 4\/3, 1, 2\/11, -0.4, -0.860907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (74 - (24 - -21))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -306bd2 + -2?\nAnswer: -306bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 4592*n**2 + 41596*n - 64792.\nAnswer: -4*(n - 7)*(n - 2)*(n + 1157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + -133. Suppose g*f = 25*f + 24. Solve 5*b - 2*u = 3, 0 = -5*u + f + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*j + 2*d + 880, -4*j = 4*d - 840. Suppose 13*c - 8*c = j. Let b = c - 37. Solve -2*u + 0*r + 4*r + 6 = 0, u - b = 3*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210090479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404 (base 6) in base 8?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*z**(-3))\/z)*z**(-2)\/z*z*z**(2\/13)\/z**(2\/15) assuming z is positive.\nAnswer: z**(394\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -18.73. Let l = i - -1.83. Which is the biggest value? (a) 0 (b) l (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 - 7*f - 6. Let v be c(-7). What are the prime factors of (40\/v)\/((-12)\/54)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2, 0.2, 36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 50*r + 19*r - 3129 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*240\/140\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-10) - 5)\/(3\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 7 - 56 = 0. Let p(o) = 3*o**3 - 1 - 4*o**3 + 3 - 3*o - 2*o**2. Let r(b) = -2*b + 9*b**2 + 5*b**3 + 7*b - 9 + 8*b. Determine n*p(j) + 2*r(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(252)*5 + -5)**2 + (-1 + -4 + -4 + sqrt(252) + 0)**2)*-2.\nAnswer: -51228 + 2376*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 53*h**8\/28 - 9*h**4 - 98*h - 1. What is the third derivative of i(m) wrt m?\nAnswer: 12720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -2\/11, 0.108, 18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -293 - -1403. Let m be z\/9*(-12)\/(-10). Let l be m\/28 - 6\/21. Solve l*u = 10, 3*k - 5*u = -0*u - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 20*u**2. Let x(o) be the first derivative of 0*o + 1\/2*o**2 + 12. Give x(a(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*n = 117 - 143, 3*z - 5*n = -30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Let r be n(-1). Suppose r*k = k - 11. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {t: 1, j: 7}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-40 + (-51 - -44))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*p + 141*p = 10201 + 37229 for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003383697 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.085 and -0.2?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 69*m**2 + 139*m - 333. Let r be g(67). Factor -2\/9*n**r + 32\/9*n - 128\/9.\nAnswer: -2*(n - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l, 19 = -y - 3*l. Let k = 22 + y. Let i(g) = -2*g**3 - 5*g**2 - g + 2. Let p be i(-3). Solve -k*f + p = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 0*d**2 - 5*d**3 - 5*d**2 + 13*d - 2 - 9*d - 1. Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**8)**17*j**1\/j*j*j*j**1)**(-1\/50) assuming j is positive.\nAnswer: j**(99\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 278.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 3*w + 5*w + (0 + 3 + 9)*(-w + w + 2*w) to u*w + t and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 5 = 0. Calculate the remainder when ((-108)\/42)\/(l\/7) is divided by 2\/(-8) + (-58)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12\/7, -0.2, 3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1415.366 + 0.5.\nAnswer: -1414.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrurubuub. What is prob of picking 2 u and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18564?\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -6. Suppose 4*v = 3*l - 8, -5*v - i = -5*l - 2*v. Let d(u) = l*u + u + u + u**3 - 3*u**2 - 3. What is d(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 7. Let q = -16 + 18. Which is the nearest to 0? (a) w (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 - 40. What is the remainder when 32 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -3.5. What is s rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46*(1\/2 - -22). Calculate the greatest common divisor of 1755 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 3368*k + 25.\nAnswer: 3368*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 581*k + 485*k + 2854*k + 870*k as y + v*k and give v.\nAnswer: 4790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from pxxpdddpdpupdurdu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9714, -9716, -9720, -9726?\nAnswer: -9734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Let r be 3\/(-12) - 9\/u. Determine w so that -w - 2*w + 4 - r*w**2 - w - 6 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3433\/15890 + 2\/1135. Let v = 15\/28 - h. Suppose 4*y = -5*f - 15, -f + y - 4*y = 14. What is the closest to 0.1 in f, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70735661 - 13?\nAnswer: 70735646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3989*i**5 + 298*i**2 + i - 1.\nAnswer: -239340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 25 - 45 + 25. Let r(n) = 9*n - 14. Calculate r(t).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + 3*m**4 - 6*m**4 + (-3*m + 0*m - 4*m)*(3*m**3 - 2*m**3 - 3*m**3).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3804 and -31\/72.\nAnswer: 22824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2745 and 3591.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -2 - (-1606)\/(-130). Let a = p - -56\/5. What is the closest to 0 in 3, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083782 rounded to 3 dps?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70799, 141716, 212619, 283502, 354359?\nAnswer: 425184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 256?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/2 + 489*a**2\/2 + 969*a\/2 + 483\/2 = 0. What is a?\nAnswer: -161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -331725.597 - -331590. Let i = -136 - z. What is i rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9615703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1257 (b) 4 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (8 + (-8 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15370777.72 to the nearest ten thousand.\nAnswer: 15370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/32 and -97\/184.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5605466161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1992 - -1142. Let o be (((-1)\/(-1))\/2)\/((-25)\/m). Solve -2*r + 2 = -2*k, 0 = k - 9*r + 4*r + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -877*t + 7199. What is j(9)?\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2131.06 + 2131. Sort -9, 0.3, m in increasing order.\nAnswer: -9, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81696 and 3472908.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23505*s - 94019. Give l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 + 0)*(-2 + 89 - 87 + 1636*p) to w*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -33*p**2 - 8*p - 8. Let c(y) = -11*y**2 - 3*y - 3. Let a(d) = 7*c(d) - 2*m(d). Let o(l) = 39*l**2 + 18*l + 18. Give 18*a(k) + 5*o(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/3))**(1\/49))**(-13\/5)\/((l**(-2\/7))**(-25))**(3\/19) assuming l is positive.\nAnswer: l**(-16244\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 21*v - 7. Let c(i) = 11*i - 3. Let r(z) = 7*c(z) - 4*x(z). Let u(k) = 3*k - 3. Calculate 4*r(j) + 9*u(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 1 + -9 - -7 - 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**5 + 76*q**4 - 1152*q**3 + 3008*q**2 - 1024*q = 0.\nAnswer: -16, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 303982914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12866 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (650\/(-1014))\/(25*(-5)\/450).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37409 + 66200. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/907 - -22681\/2721. Find the common denominator of t and (-6)\/8 + (-227)\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-12)\/16))\/((-592)\/(-24)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 + 10*f + 14. Let w be j(-6). Let h be 230\/(w\/(10\/(-2))). Suppose 2*a = 5*p + 362 + h, 4*p - 1024 = -4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -341988, -684167, -1026346?\n\"Answer: -342179*v + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*v + 51, -2*p + 19 = -p + 4*v. Suppose 0 = -4*o + p + 1. Factor -3*u**4 + 3*u**4 - 3*u**2 + 6*u**o - 3*u**4.\nAnswer: -3*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -916528, -1832792, -2749062, -3665338, -4581620, -5497908?\nAnswer: -6414202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 109*f + 2. Let l be c(0). Solve 0*o**4 + 4\/3*o**3 + 0 - 2\/3*o**5 - 2\/3*o + 0*o**l = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526*o = -537*o + 176. Solve 14*k + 90 = -o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -795, 1 in decreasing order.\nAnswer: 85, 1, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i - 223*i**3 + 19 - 34*i**2 + 222*i**3 - 20*i. Does 2 divide l(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10845, -9913, -8367, -6213, -3457, -105, 3837, 8363?\nAnswer: 13467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**5\/20 + h**4\/3 - h**3\/6 + 2*h**2 + 228*h. Calculate k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/8895 and 36\/45661?\nAnswer: 684915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1901*z**2 - 34*z + 12. Let n be m(-9). Let x = n + -427499. What is x rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70316 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: Let k = 7.2 - 0.2. Let t = 11 - k. Let c = 358\/5 - 72. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246 + 247 + 291*p - 490 + 205*p - 75*p in the form o*p + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 10*x**2 + 4*x - 12. Let f(y) = -y + 1. Let r(c) = a(c) + 4*f(c). Let q be r(-10). Let l = -226 + 217. Which is greater: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29849994?\nAnswer: 2, 3, 17, 97549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {r: 1, d: 6, x: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4 - 3*l - l**3 + 3*l**2 - 3*l**2. Let a(z) be the first derivative of -z**4\/4 - 2*z**2 + 5*z + 10. Suppose -t + 8 = t. Give t*r(k) - 3*a(k).\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*t - 29, -t + 24 - 101 = -4*k. Suppose l + k = o, 0 = -4*l + 3*l - 1. Suppose 0 = 3*y - o - 64. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-61 + -3)) + 16 + (-3 - (1 - -23))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7485500 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 4, -4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*n**2 + f*n + 7*f + 2941*n**2 + 882*n + 13826899 wrt n?\nAnswer: 12*f*n + f + 5882*n + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 1044378.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.97 - -7.97. Suppose -43*h - 56 = -13. Let c = 7 + -10. What is the second biggest value in z, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -10399.215316?\nAnswer: -10398.715316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9221, 11002, 12755, 14468, 16129, 17726, 19247, 20680?\nAnswer: 22013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k - 8 + 0*k)*(-4 + 10 - 4 + k)*(-1 + 1 + 1)*(11*k - 14*k + 8*k)*(5 - 1 - 3).\nAnswer: -5*k**3 - 40*k**2 - 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 92. Let y = -24 + t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 45*a = -174 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2564 and 14248789.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/45 + -589\/90. Let b = -2179 - -1261. What is the common denominator of p and 4\/18 - (-2418)\/b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u. Let r(c) = 5 - 3*c - 2*c**2 + 0 - 3*c. Let o be r(-5). Let d be (-10)\/o + (-2)\/(-6). Calculate h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**3 + 61*t**3 + 27*t**3 - 22*t**3.\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30298\/975 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 794585 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**2 + 310988*c + 177712.\nAnswer: -2*(c - 22214)*(7*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 418 = 22. Let d = 222 - r. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1 = -0*l - 4*a, 3*a = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2097709 from 25.\nAnswer: 2097734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 24 + 61 = 0. Let a = h - 8. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36738 divided by 5\nAnswer: -36738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 + 32*d + 59. Let o be v(-2). Sort 59, o, 24 in increasing order.\nAnswer: o, 24, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 20*u**2 - 36*u + 13. Let t be b(18). Let y(v) = -22*v + 3. Let d be y(-4). Calculate the highest common factor of t and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + -21640402?\nAnswer: -21640143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 641886 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -40*p + 4. Let z = -200 - -1423. Is 2\/6 - (-1 - z\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 78*j + 133. What is s(-7)?\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1036257285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3860577 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -104.6806 (b) -1\/10 (c) -5 (d) -1\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = 4. Let o be -3 - n - 16\/6. What is the closest to 1\/5 in -0.1, -2, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1418, -2875, -4332, -5789, -7246?\n\"Answer: -1457*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-536)\/(-12) - (6 + 16\/(-3)). Which is bigger: p or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 2, l: 4, r: 2, u: 2}. What is prob of sequence alra?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333747 is divided by 1138.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39586283)\/33 + 23)*(-3)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 503.8888 decades?\nAnswer: 5038.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 1072, 4.\nAnswer: 4, 128, 1072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 49071*n - 20 - 49094*n + 13.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2154815446*q**3 - 1077407665*q**3 - 1077407782*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4959195*q**3 + 6*q + 20625684?\nAnswer: 14877585*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 176064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/60 + (-4012)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1040.\nAnswer: -1\/1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 218 + 477 = z, -5*z = b - 3442. What is the greatest common factor of 159 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*k + 58, -145 = 8*k + 3*k - 27*t for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407257 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -213?\nAnswer: -20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119057?\nAnswer: 3, 373019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:40 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131530 is divided by 3866.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.595690869 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 3*s - 3*s)*(-4 + 4 - 2) + (2 - 1 - 2)*(2*s + 0 + 0) + s - 2 + 2)*(2*s**2 - 921*s + 1558*s - 875*s).\nAnswer: -10*s**3 + 1190*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.7 (c) -2\/3 (d) 1\/7 (e) 11 (f) -1\/5 (g) 6563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 2*k = -2, -5*r + 13 = -k. Suppose r*y + 0 = 22. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2 - 5092*t - 6*t**2 + 3*t**2 - 4*t**2 + 4*t**2 = 0.\nAnswer: -1273, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:46 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*w + 127. Suppose -5*q + 10 = 2*o - w, -5*o - 3*q + 30 = 0. Find the second derivative of t - t**3 - t**o + 0*t wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28881299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*u - 708 + 46797 - 7977 = 0 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 728 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 73.8465 weeks?\nAnswer: 44662363200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238408, 238470, 238546, 238636, 238740, 238858, 238990?\nAnswer: 239136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 20 - 13 - x + 19*x**4 + 2*x to the form a*x + d*x**4 + c*x**3 + b*x**2 + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/3 + 4250*c**2 = 0.\nAnswer: -6375, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/6*2463\/821*12\/(-14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 2. Give m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 1\/11 (c) 0 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/8325)\/((1870\/(-153))\/10).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/8 - ((-4)\/2 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 9. Let p(y) = -3*y - 6. Let v(f) = 5*g(f) + 8*p(f). Let a(l) = 2*l + 1. Let w = -182 - -180. Calculate w*v(z) - 5*a(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*w**2 + 32*w + 39*w**2 - 32*w - 65 to the form v*w + y + n*w**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -107696 greater than -107695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471595782 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16*t)\/t)**(-30)\/(t**(-3\/13))**(-14) assuming t is positive.\nAnswer: t**(-6282\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2685573 + 1.27388. What is o rounded to five decimal places?\nAnswer: 0.00532","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04224 + 0.04224. Is u less than or equal to -548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-2\/13)*v*v\/(v\/(v*(v\/(v*v\/v**(-1\/2)*v*v*v*v*v*v))\/v))*v*v**2\/v*v*v**(-3\/7)*(v**(-6)\/(v\/v**5))\/(v**1*v**(-3\/4)) assuming v is positive.\nAnswer: v**(-1577\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 172 = 60 + 21 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15447*q + 154469. What is n(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 1\/7 (b) 3 (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*t**2 + 56*t**2 + 401*t**4 - 400*t**4)*(-3*t + 2*t - 4*t).\nAnswer: -5*t**5 - 450*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009822702 + 0.\nAnswer: 0.009822702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*t**2*z - 50118*a*t*z**2 - 2*t**2*z**2 - 20943*t**2*z + 2*z**4 wrt z?\nAnswer: -100236*a*t - 4*t**2 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -390, -3037, -10210, -24171, -47182, -81505?\n\"Answer: -377*p**3 - p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4499196 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > 104231135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 + 6*q**3 + q**3)*(0*q - q - q).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -2 - (-2 + -2*sqrt(7)))**2 + 2.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 1. Let l(g) = -68*g**3 + 85. Calculate -85*i(t) - l(t).\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - 1*sqrt(1573)) + 4)**2 + sqrt(1573) + -2 + 3 + 1.\nAnswer: 18 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504681?\nAnswer: 3, 168227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132015924 and 824?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 3:14 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/968 and 1320 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let j(w) = -6*w**2 + w - 2. Let x(q) = -j(q) + 4*o(q). Let d be x(-2). What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 9) + (-11)\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36 - 4672.255173?\nAnswer: -4675.615173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 80499618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 bigger than 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 - 5*s. Let h be c(-6). Let v be (-1)\/(-6) - (-7)\/h. Let o = v + 6. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 7*j**2 + 9*j + 20. Let t be k(-6). Suppose t*r = -20 + 24. Solve -f + r*f + 4 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 7*r**2 + 4. Let h be t(7). Suppose 4 = h*o - 4. Find the first derivative of 0 - 4*j**3 - 43*j**2 + 6 + 43*j**o wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 11.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 112*h**2 - 338*h - 811. Determine o(115).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/48)\/(-25)*(2 - 4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -27. Let d = 80 + o. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(-34)\/(x\/x**(1\/7)*x*x*x**(-1)*x*x) assuming x is positive.\nAnswer: x**(-319\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 37*o - 16. Let q(s) = -20*s + 7. Let g(v) = -5*q(v) - 3*z(v). Let w(l) = 2*l**2. Give w(g(i)).\nAnswer: 242*i**2 - 572*i + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o - 1\/24*o**4 - 1\/2*o**3 + 0 + 2*o**2. Let b(z) be the first derivative of r(z). Find the first derivative of b(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 - 8*s + 13. Let r be o(2). Let p(g) = -r*g - 12*g - 21*g + 69*g. Let y(t) = -t**2. Determine y(p(u)).\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -x - 2 + 13, -2*h + 6 = -4*x. Let o(i) = -i + 8. Let y(z) = -2*z + 15. Let d(v) = 5*o(v) - 3*y(v). Calculate d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let k be -3 + 5 + 1 + -3. Let g(w) be the second derivative of 0 - 1\/2*w**3 + k*w**2 + 2*w. Determine g(b(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjooo?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (94 - 85)) + -21 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 6*f**2 - 19. Let r(a) = 5*a**3 - 22*a**2 - a + 76. Let k(c) = 9*q(c) + 2*r(c). Let v be k(-10). What is the nearest to -3 in 4, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:26 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*k + 10 - 15, 2*f - 5*k - 5 = 0. Let s = -9 + 11. Solve f*i - s*i + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*h**3 + 21*h**3 + 10*h**3 - 2*h**3 + h**2 - h**2 + (-2 + 2 + h**2)*(-2*h + 4 - 4).\nAnswer: 75*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 3, j: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/5)\/(v*v*v**1) assuming v is positive.\nAnswer: v**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 275 + 79 = 0. Let g = -52 + y. Suppose -4*p - 76 = 2*v, -g*v = -4*v + 2*p + 114. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 23076?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**3 + h**2 + 5*h - 6. Let n be i(1). Let v be 6 - 3\/(n*18\/96). Solve 18 = 8*c - v*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by 10\nAnswer: 231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201614?\nAnswer: 2, 7, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -5*sqrt(11)*1) + 4 + (sqrt(66) + sqrt(66) + sqrt(66) + (sqrt(66) - -2*sqrt(66)) + sqrt(66))\/sqrt(6)*-1)*1.\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3232124 + -223221?\nAnswer: -4010400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**7\/280 - 19*n**6\/160 + 21*n**5\/40 - 984*n**2. Determine u so that w(u) = 0.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 14*b = 70. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3*2\/3). Sort 2, j, 3 in ascending order.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**2 + 21*d**2 + 20*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -10, -29\/2, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r + 10. Let g = -31 - -21. Let i be d(g). Let b = i + -28. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/99? (a) 0.0646 (b) 0.22 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.259357 nanoseconds to minutes.\nAnswer: 0.00000000033765595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 + 224. Which is smaller: -26 or o?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 37c0161?\nAnswer: 37c015c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i - 52. Let c be s(-7). Suppose -5*l = 2*q + c + 10, -q = 3*l + 12. What is the hundreds digit of ((-17)\/l)\/(2\/84) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/(-24) + (-3)\/4. Which is the closest to 1? (a) 0.2 (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 860 and 220?\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*a**3*u**2*y**2 + 2*a**3*y - 342*a*u*y**2 + 27*u**2*y**3 - u + y**3 wrt u?\nAnswer: -84*a**3*y**2 + 54*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24376*m - 25154*m + 8558 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-30))**(4\/15)*g**4*g**(23\/5)\/g)**(-8) assuming g is positive.\nAnswer: g**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, c: 2}. What is prob of picking 2 d and 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.686876 + 12.68. Round v to four decimal places.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91.5 * -0.1.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**2 + 3 + 41*o**2 - 3.\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 640*d + 97005. What is j(247)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1541*m**2 + 3*m + 117?\nAnswer: 3082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -36 + 23 + 23 + 0 - 47\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/21 and (-74748)\/(-12312) + -6 + 5\/(-30).\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/6 - 7*v**2 - 4*v. Let z be n(-13). Let d = -1 + 1. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000603486813 rounded to seven decimal places?\nAnswer: -0.0006035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (-8 - 40) + 2 + -5 + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*f*h**2 - 36*f*h - 4*f - 2*h**3 wrt h.\nAnswer: 538*f - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 4*c**2 + 3*c + 1. Let y be v(-2). Let x(g) = -4*g + y*g + g - g**2. Let r(t) = 0*t - 4*t + 2*t. What is x(r(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.03. Let n = i + 0.17. Which is the nearest to 2? (a) 2 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 26*s + 405. Let b = 10 - 23. Let v = s - b. Are v and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 5. Suppose 2*a = -20 + 6. Let i(u) = 3*u + 7. Suppose -2*n + 5*k = k, 9 = 3*n - 3*k. Let v be 3 - n\/(1 + -4). What is a*l(t) + v*i(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1031*a**6\/10 - 179*a**2\/2 - 868*a. Find the first derivative of p(b) wrt b.\nAnswer: -12372*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 237.3856km?\nAnswer: 237385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038972\/5 at least 1207794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 1587 = 2403. Let d = q + 1161. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.037 - -1.037. Which is the closest to 0.3? (a) r (b) 3 (c) -3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -b0?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -179724628 - -145.55\nAnswer: -179724482.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r = -148*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 951 + 12321 = 4*h, -2*h + 3*j = -6628. Let w be h\/15 + (-2)\/(-3). Suppose 2 = -4*d + w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30*p**3 + p**2 - 3*p - 4. Let q be g(-2). Suppose 5*x = q + 74. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3381517\nAnswer: -2\/3381517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5 + 311*o**4 - 21507*o**3 - 454883*o**2 + 4659844*o - 7333044 = 0.\nAnswer: -23, 2, 6, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(605) - sqrt(605))**2*5 + sqrt(605) - sqrt(605)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-2)\/(-4)). Suppose 0 = 3*q - 4*k + p - 13, k - 16 = -4*q. What is the first derivative of -7*s**4 - 7 + 21*s**4 - 4 + q wrt s?\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 40. Let i = o + 4.16. Let q = -0.192 + i. What is q rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*z + 894 - 344 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 16.2 and -196882 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1510\/7 - -199. Let x = -120\/7 - a. Sort x, -0.5, 5\/4 in descending order.\nAnswer: 5\/4, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148803002?\nAnswer: 2, 29, 2565569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59124873.\nAnswer: 3, 2897, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000 (base 6) in base 7?\nAnswer: -5016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - -25. Let y = l - 106. Suppose q + 5*d = 0, 0 = -4*q + 2*d + d + y. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24441 - 0?\nAnswer: -24441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from {o: 7, x: 1, u: 5, v: 1}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(10\/9))\/(m\/(m\/m**(-3\/14))))**(1\/4)\/((m*m**(-2\/3))**(-2\/29)\/((m\/m**(-1\/6))\/(m*(m\/m**(1\/3))\/m*m))) assuming m is positive.\nAnswer: m**(-6595\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036*b - 347*b + 342 - 346*b - 342*b.\nAnswer: b + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 1371. Give w(13).\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -9226027?\nAnswer: -9226027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -21.982. Let j = -0.118 + d. What is the third biggest value in j, -4, 3, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 5*w**2 + 3*w**3 + 8*w**4 - 5*w**2 - 4*w**4 to the form u + j*w + x*w**3 + g*w**4 + i*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -185360 smaller than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 67 - 84 = -5*h, -2*l = 3*h + 89 - 30 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -471*d*l**3 - 3*d*l**2 + 2*d*l + 10*l**2 wrt l?\nAnswer: -2826*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 72ad?\nAnswer: -72aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + 5*l - 10*l + 4*l**2 to the form j*l + x + t*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2555510366?\nAnswer: 2, 307, 4162069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a week?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kam. What is prob of picking 1 k and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -922244 or -922212?\nAnswer: -922212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519815866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*o + 12, 6*b + 16 = 2*b - 4*o. Suppose -3*l + 30 = -15. Let k = 59\/4 - l. What is the second smallest value in k, 3\/5, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/31 + 68\/93. Let u = 0.057 - -38.943. Let o = -40 + u. Sort o, 6, l in ascending order.\nAnswer: o, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/2)\/((-555)\/370). What is the smallest value in -4, d, -2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184697409.97091 + -184703062. Let p = -5652 - i. Round p to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80595 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: Calculate the least common multiple of 160520 and 160520.\nAnswer: 160520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and 1763463.\nAnswer: -56430816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/55 and -31\/27764?\nAnswer: 138820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -167. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-2*b - 3*b + 3*b) + 0*b - 3*b + 2*b + (13 - 13 - 6*b)*(-1 + 0 + 2).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8392*y - 915. Is i(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*m + 5*m - 2*m in the form o + q*m and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252545829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -10\/9, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.046 + 0.454. Let h be ((-6)\/(-8))\/((-1)\/12). Let r be (4\/(-10))\/(h\/(-5)). What is the third biggest value in a, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382509 is divided by 664?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let o = 3.6 - -0.4. Let g = 3.9 - o. What is the second smallest value in m, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -410, 3, 61, 6 in descending order.\nAnswer: 61, 6, 3, -2, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, u: 6}. Give prob of sequence vuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -286 or -438.7?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16540, 32839, 48918, 64777, 80416, 95835, 111034?\n\"Answer: -110*j**2 + 16629*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from mdlgmdddmjd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896 and 28504672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1377*k + 1. Let y(v) = v**2 + 2*v + 12. Let u(b) = 2*b**2 + 3*b + 18. Let r(t) = 2*u(t) - 3*y(t). Determine w(r(s)).\nAnswer: 1377*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -387, -398, -419, -456, -515, -602?\n\"Answer: -f**3 + f**2 - 7*f - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2013 = -44*x + 1023. Let u = -94 - -209. Let n = u - x. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52960*v + 105920*v + 71*v**2 - 52960*v.\nAnswer: 71*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46\/9 + -44\/9. Let y = 3 - 7. What is the nearest to 1 in w, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26502281 to the power of 1\/2, to the nearest integer?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - d + d + (-d**2 + 1 - 1)*(6 - 6 + d) + (4*d - 5*d + 3*d)*(-3*d + 3*d - d**2) - 4*d**3 + 5*d**3 - 3*d**3 + 2*d**3 - 3*d**3 - d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-20)*h))\/h*h)\/h**(2\/55)*(h\/h**(-3))**39 assuming h is positive.\nAnswer: h**(9678\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41114 + -23065. Is 99 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 7344*d**3 + 816480*d**2 - 29673216*d + 357758208 = 0 for d.\nAnswer: -2556, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-276)\/10 + 12\/(-30). Let i = 33 + j. Solve 9 = 3*s, 3*f + 0*s - i*s + 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620179699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*n - 3*n + 92 = 0, 4*n - 50 = 2*p. Let k(g) = g + 30. Calculate the remainder when k(p) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.072 + 0.093. Let z = y + -0.221. Which is the third biggest value? (a) -0.05 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3690)\/(-2340) - (395\/65 - 6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k - 15. Let g = -19 + 28. List the prime factors of v(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1269304 minus 41.3?\nAnswer: -1269345.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4)\/104)*(2 + 2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 = 3288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 44 = 636. Suppose v - 848 = q. Suppose 7*z + 340 = v. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*(-3)\/4. Let g = 11\/371 - -6\/53. Let i = -1 - -4. Which is the closest to t? (a) g (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 164 - 168 = 0. Suppose 8 = 2*p - 2. Suppose 3*v + 5*u = v + 15, -5*u = -25. Put p, v, h in descending order.\nAnswer: p, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b39 (base 13) to base 14\nAnswer: -16d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - 3\/((-21)\/12 - -1). Let r(s) = 4*s**2 + 12*s - 2. What is the remainder when r(j) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 1 = -a, 10*q - 13*q + 13 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 - 4545*p**3 - 9070*p**2 = 0. Calculate p.\nAnswer: -907, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*p = -635, o + o - 250 = 2*p. What is the highest common divisor of o and 10017?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 247 - 118 - 120)*((2*j + 2 - 2)*(2*j**3 + j**3 - 4*j**3) - 4 + j**4 + 4).\nAnswer: 5*j**5 - 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -665 + 5109. List the prime factors of d.\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 7 - 10)*(0 + b + 0) - 5*b - 111 + 111)*(0 - 2 + 0) as k*b + c and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1676*g + 3292*g - 1894 + 343 = 1663*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (3*sqrt(1584) + 2))**2 + 2 - 1*(sqrt(11) - ((-1*sqrt(11) + 0)**2 - sqrt(11)))*4.\nAnswer: 88*sqrt(11) + 6386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100611340 or 100611339?\nAnswer: 100611340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpj when three letters picked without replacement from djpva.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.7 - -2.7. Let j = r + 107. Let b = j + -93.0097. What is b rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1.9, 25, -2\/5, -9 in increasing order.\nAnswer: -9, -1.9, -2\/5, -2\/15, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*y - 29206 - 115587 = 0, -2*u + y + 57918 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = 11. Suppose -4*s + 77 = 3*a + 2*a, a + 2*s = b. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2. Suppose v - 18 = 3*v + 2*l, 0 = -v - 2*l - 13. Let m(n) = -n - 1. Let f(w) = 4*w + 5. Let g(x) = v*m(x) - f(x). Give g(j(u)).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.6 (b) 0.6 (c) -1\/1507 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*c**3 - 236*c**3 + 92*c**3.\nAnswer: -278*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(4)\/sqrt(2)*2 - sqrt(2))**2 + (sqrt(242) + 0)**2 + -5)*6.\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03800108 + -0.038. Round u to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 3*s**4 - 2*s**3 - 6*s**4 + (1 + s**3 - 1)*(6*s - s - 4*s).\nAnswer: -2*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18730 and 0.952.\nAnswer: 17830.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d**2 + 11*d**2 - 5*d**2 - 87 + 2*d - 2*d. Let u(f) = f**2. Give u(w(l)).\nAnswer: 4*l**4 + 348*l**2 + 7569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 3\/2 (c) 8 (d) -2\/47 (e) -0.4 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -830 (base 10) to base 11\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 - 2*i - 8. Let g be d(-6). Let p = g - 1. Let z(y) = 2*y**2 + 4*y + 4. Let f be z(-3). Solve 2*t - u = 5, -4*t - t + p*u = -f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2924*c**2*g**3 - 348*c**2*g - g**2 wrt g.\nAnswer: -17544*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35580 - -87740. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*d + 2*d = 9, 0 = 5*j - 4*d - 39. Suppose j = a + 4. Suppose -2*t = 3*y + 2*t - 48, 3 = t. Solve 2 = -2*b, 0 = -0*o - a*o + 3*b + y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 18*z - 61. Let l be o(4). Let u = 17 + l. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 35072731?\nAnswer: 35072741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4225*x**2 - 3055*x - 546. Let h(q) = -845*q**2 + 611*q + 105. Let b(r) = -5*f(r) - 26*h(r). Find the second derivative of b(y) wrt y.\nAnswer: 1690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r. Let y(z) = -14*z + 1. Let b(c) = -8*f(c) - 3*y(c). Let j be b(10). Let g = -4 + j. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 8*s + 4. Let z be i(8). Find the second derivative of -664*l**2 + z*l + 660*l**2 + 9*l wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.19 (c) -0.2 (d) -5 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 53. Let f = -1 - -1. What is the nearest to -2\/3 in f, h, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*g**2 - 25*g**2 + 5*g**2 + (6*g**2 - 4*g**2 - 3*g**2)*(5 - 1 - 3) + 2*g**2 - 3 + 3).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1320473410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*77\/(-4158)*(-171)\/21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83470.05 years in millennia?\nAnswer: 83.47005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and 47\/131544.\nAnswer: 131544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 82706 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - 4*y. What is the second derivative of -10*l - 14 - 12 + 26 + 13*l**y wrt l?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q + 53*q - 38*q - 36*q - 56*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 7 + -8 + 7 + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-2)*1242\/(-45).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666897 is divided by 938?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -3*k + 9\/2*k**2 + 3\/2*k**3 + 0. Let r(a) = -4*a - 4. Calculate 7*r(n) + 3*t(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w + x, -x - x = 5*w - 4. Suppose -5*j - 2*j + 392 = w. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 728\/3 or 244?\nAnswer: 728\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 + 43.2\nAnswer: 43.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 492, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 - 5 = 2*t, -4*o - 22 = 5*t. Let f be (t*1\/(-16))\/((-2)\/4). Which is bigger: f or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 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: Solve -54 = -2*h + 2*o, -7016*h + 3502*h - 95 = -3511*h + 5*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 24761?\nAnswer: -24760.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85282265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 9*j + 5*j - 20, -4*t = -3*j - 24. What is the remainder when 66 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 33*o**3 + 16. Let u(q) be the second derivative of -2*q**5\/5 - 2*q**2 - 4*q. Let j(d) = -2*r(d) - 9*u(d). Differentiate j(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*r - 32, -3*v - 4*r = r. Suppose -v*q - 3*q + 24 = 0. Suppose -q*x + 792 = 8*x. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 31 + 1. Find the third derivative of -77*i**3 + 59*i**3 - t*i**2 + 1 + i**6 - 28*i**2 + 2*i**6 wrt i.\nAnswer: 360*i**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5138 + f**3 + 5706 + 0*f**3 - 10844.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945564?\nAnswer: 2, 3, 78797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7808 and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105.85 - 0.85. Let x = -107 + p. Suppose 5*d + n = -4*n, 5*n = 20. What is the closest to x in 0.4, d, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Let w be (-1 - -1) + (1 - -3). Let b(d) = -w*d - 2*d - 2*d + 3*d. What is i(b(c))?\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 15. Suppose 0 = -w - z*w + 5, -5*w + 14 = 3*c. Let y be (1\/(-2)*0)\/(-1). Solve y = 3*n - 0*n + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4*-2*0. Let q(c) = 4*c**2 + 4*c - 2. Let m be q(-2). Suppose j = d - m*d + 115. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -141, -131, -121?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 3*k**5\/10 + 33*k**4\/4 - 124*k**3 - 198*k**2 - 10662*k. Determine z so that l(z) = 0.\nAnswer: -22, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 + 2092*x**4 - 238740*x**3 + 7258500*x**2 + 42525000*x = 0.\nAnswer: -5, 0, 75, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jlj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281.8 + -303.13. Let y = -21 - c. Let s = -0.23 + y. Is 13 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15102543 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: Round 0.0000624942 to 7 dps.\nAnswer: 0.0000625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99061 is divided by 670?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 748513.7 kilometers?\nAnswer: 748513700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/177 and (44\/8 + -3)*(10 - 12).\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025594605 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.85 - 4.2. Let w = 21.65 - l. Let q = 22.08 - w. What is q rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-28)*(-14)\/(-9)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-15) - (-1)\/3. Let w = -1042 + 1044. Which is the closest to g? (a) -1 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2\/2 - 3*f = 0 for f.\nAnswer: -6\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1314298*g**5 + 52*g**2 + 21482 wrt g.\nAnswer: -78857880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**4*(q**(-2))**1*(q*q*q*q**(-1))**(-28)*(q\/(q**8\/q))\/(q**(-1)\/q) assuming q is positive.\nAnswer: q**(-566\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1175)\/(-940))\/((-2)\/(-8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 965 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 - 7*q + 0*q**2 + 5\/3*q**3. Let t(n) = 2*n. What is t(m(v))?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83736070*x + 7394627.\nAnswer: -83736070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4664581?\nAnswer: 4664581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129, -140, -159, -186?\n\"Answer: -4*f**2 + f - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 5. Let f(j) = 2*j - 6. Let d(q) = 5*f(q) - 6*m(q). Let t(w) = 9 + 3 - 12 - 2*w + 11*w. Give t(d(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9*14\/21 - 2) + (-3093 + -9)\/33\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 2\/77, -2, 4, -1690 in descending order.\nAnswer: 4, 4\/5, 2\/77, -2, -1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 361\/57 + -6 - (-2)\/3. Let w(k) = -7*k**3 - 14*k + 14. Let n(q) = 19 - 9 - 3 - q - 6. What is b*w(m) - 14*n(m)?\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -7*m + 8*m. Let t be -1 - (m - -3) - (-4 + 0). Solve 4*f + 3 = 2*c + 7, c - 4*f = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16146 divided by 11.\nAnswer: 16146\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2096.\nAnswer: 5\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3 - 1. Let r be (2 - 464\/5)\/(d\/(-5)). Let l = 760 + r. Calculate the greatest common divisor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9134 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443 - 303. Is 14 a factor of (0 - 1)\/((-5)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -7. Let f(c) = 4*c + 9. Let d(b) = -b - 2. Let x(i) = r*d(i) - 2*f(i). Let s(p) = 10*p**2. Determine x(s(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/7)\/((-53660)\/225372)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 + 2*g - 4. Let i be m(-4). Let n(z) = -2 - z + 0 + 7 - 1 + z**3 - 4*z**2. What is n(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 - 13*o - 11. Let y(p) = 5*p**3 + 6*p + 5. Let t(u) = -6*i(u) - 13*y(u). What is the first derivative of t(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 417, 427, 441, 459, 481?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b - 43545499940 + 43545499940.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q - 126*q = 28*q - 1952 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*w + 22, 3*w - 11 = -5*n + 84. Let g = n + -14. What is the second derivative of 8*k + 10*k**g - 26 + 26 wrt k?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 9. Let r = -16 - y. Calculate the greatest common divisor of r and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k + 947*k**3 - 946*k**3 - 10*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2 - 0)) + 2 + -4 - (-75 - -105)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3899a - -1?\nAnswer: 3899b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10383460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 226, -2.\nAnswer: -3, -2, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34320 divided by 104.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57333333 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 10*j**2 + 5. Let b be x(-5). Suppose -50 = -b*u - 4*f, -5*f = -f. Solve 3*a + 2*m = m + u, 0 = 4*a + 3*m - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/4 + s**3\/3 + 41*s + 5. What are the prime factors of f(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i + 28*i - 14*i + 2*i**2 in the form r + b*i**2 + a*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and 1.503.\nAnswer: 1.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13002*b**4 + 186*b**3 - 2196268*b?\nAnswer: -156024*b**2 + 1116*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1096?\nAnswer: -5\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 4. Suppose -b - 9 = 13. Let g(u) = -u**2 + 31*u + 21. Let w(p) = b*r(p) + 4*g(p). Factor w(t).\nAnswer: -4*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-38)\/30)\/(7\/63)*-1)\/((-127)\/635)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 2*b. Solve -2*o - b*o + f = 26, 4*o + 2*f = -18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3332056 by 182.\nAnswer: 18308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 174463561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2993, 2992, 2991, 2990?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12431 - 6270. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 0 - sqrt(5) - (sqrt(20)\/sqrt(4) + -3) - ((-4*sqrt(20)\/sqrt(4) - 1*sqrt(80)) + 0))**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 2*u + 2*u + (u**2 + u**2 - u**2)*(2*u + 2*u - 3*u) - 272 + 272 + 47*u**3.\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -50 - (3 - 2). Is -1 + 1 + 1 + n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 75*i**3 - i**2 - 8*i - 7. Let h be u(-1). Let k = 63 + h. Does 16 divide (18\/k)\/(3\/(-366))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 35*u**3 + 145*u**2 + 40*u - 310. Let c(o) = o**3 + 3*o**2 - o + 3. Let w(s) = -a(s) + 30*c(s). Factor w(p).\nAnswer: -5*(p - 2)*(p + 5)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/7)\/n*n*n)*n\/(n*n**6)*n*(n*n\/n**0)**18)\/((n**3*n**(-4\/5)\/n)\/(n\/((n*n**1)\/n))**(-2\/5)) assuming n is positive.\nAnswer: n**(1033\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 5:28 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4825, 35790, 119817, 283438, 553185, 955590, 1517185, 2264502?\n\"Answer: 4422*l**3 - l**2 + 14*l + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1145, 37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12598?\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56391027 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1719\nAnswer: -3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, -1\/10 in descending order.\nAnswer: -1\/10, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let w(x) = 7*x**2 - 152*x - 12. Let f(p) = -p**2 + 6*p + 2. Let u(n) = 6*f(n) + w(n). Give g(u(y)).\nAnswer: 2*y**4 - 464*y**3 + 26912*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97aa4 (base 11) to base 6.\nAnswer: -3015150","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Are 43192 and 43189 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = 2*g - 20*x - 1, -2*g - x = -13. Let y be (1\/(g + -3))\/((-7)\/(-882)). Calculate the greatest common factor of y and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -49*(-12 - (-70)\/10) is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4368 - 2176 - 2192 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert d8 (base 15) to base 8.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2038157890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 2. Let c be g(2). Let x = 8 - 5. Let r(q) = q + x + q**2 - 5 + 0*q - 5*q. Calculate r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*o + 5 = 0, 13 = 2*v + 5*o - 2*o. Suppose 0*y - 2*y - 14 = -4*p, -5*y - 3*p = -4. Let f = 7.6 + -7.4. What is the nearest to y in 0.5, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/9 (b) 7 (c) 1 (d) 1\/2425 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5*o - 616 + 581 = 0, -5*o = 2*r - 7 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 3. Calculate b(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzd when three letters picked without replacement from dddddzzzdddzddddoz?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 205*u**3.\nAnswer: 205*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324566508 is divided by 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 175, 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3104\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15306, -1\/3, 1\/2 in ascending order.\nAnswer: -1\/3, 1\/2, 15306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -31. Let q be (-86 - -71)*(-13)\/15. Do o and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*p)*(-2*p**2 - 2*p**2 + 6*p**2) - p**2 + p**3 + p**2 - 2*p**2 + 2*p**2 + p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:10 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-6)\/(-4)*33\/(2310\/(-112)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + i = -0*i + 452, -u - i + 92 = 0. Let y(l) = 3*l**3 + l - 6. Let f be y(-3). Let o = u + f. Solve o*b = -b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282079118?\nAnswer: 2, 59, 283, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 215723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 20 - 1457*q + 2963*q + 2*q**2 - 1529*q. Calculate o(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 27*g**4 + 0*g - g**3 - 285 - g + 287 to the form o*g**2 + x + a*g**4 + q*g**3 + v*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 88*y**2 - 103*y - 738. What is the hundreds digit of s(-89)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 17 + 11. Let b(t) = -t**3 - 3*t**2 - t - 4. What is b(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = n + 16 + 4, -3*c + 5*n - 15 = 0. Let y(i) = -2*i + 3. Calculate y(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 350007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t + 7 + 4*t**2 - 3*t**2 - 10*t + 5*t. Let z be a(-9). What is the third derivative of -w - 4*w + 9*w**2 + 5*w + z*w**4 wrt w?\nAnswer: 600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)\/r**6)**(-11) assuming r is positive.\nAnswer: r**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by ((-15)\/6)\/(115\/(-598)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/130 and 46\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1551054 and 4842?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 10*a - 12*a - a in the form z + h*a and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 3. Let j = k - -0.2. Let v = 130.58 + -130.28. What is the second smallest value in j, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -1.3. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44)\/3)\/((-20)\/(-690)). Does 14 divide (-16)\/72 - c\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:29 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, v: 4}. What is prob of picking 1 v and 3 d?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -2291819?\nAnswer: -55003656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 1. Suppose 3 = -8*n + 11. Let c be b(n). Solve c*r - r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.6028 centimeters in kilometers?\nAnswer: 0.007306028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 5*a - 5*a - 8*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 220238220 rounded to the nearest 100000?\nAnswer: 220200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 + 6*z**2 - 25*z - 127. Let p be s(-3). Solve 0 = -55*a + 20*a + p for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 350474\/(-342) - (-2)\/(-9). Let z(i) = -i**3 + i**2 + 5*i - 9. Let v be z(7). Let c = v - p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27109 - 12843. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 12. Solve 2*o - 12 = -2*k, -k - z = -5*k + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -4712.8.\nAnswer: -9896.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5071086?\nAnswer: 2, 3, 23, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x - 5*v, 3*v - 13 = -3*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -3*h**5\/10 - 4*h**2 - 2*h. Differentiate b(v) with respect to v.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 y when three letters picked without replacement from {d: 1, m: 2, p: 8, y: 1, j: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483551?\nAnswer: 53, 59, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 644168107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w - 15. Let a(n) be the second derivative of n**4\/12 + 5*n**3\/3 + n**2\/2 + n. Let q be a(-11). Calculate the highest common factor of q and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833980 rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*s + 300 - 328, 3*s + 3*u = -18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppkxxp. What is prob of sequence pk?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*h**4 - 59640*h**3 - 225179*h**2?\nAnswer: 2208*h - 357840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3524*k = 3508*k. Suppose -z - z = -8. Solve k = z*u - 4, 0 = -3*m + 3*u - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2 - 2*r**2 - r**2 - 6*r + 2*r + 2*r**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5 - x**4 - 34*x**3 - 62*x**2 + 33*x + 63 = 0.\nAnswer: -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726957955?\nAnswer: 5, 439, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1704430 - 674*o - 84*o**2 + 86*o**2 - 159148 - 2842*o.\nAnswer: 2*(o - 879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, a: 3, i: 2, o: 1, b: 3, y: 1}. What is prob of picking 1 o and 1 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 6*p + 9*p + 3)*(-4 + 0 - 6).\nAnswer: -10*p - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559982 at least as big as 3559979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, h: 2, z: 3, w: 1, m: 8}. What is prob of sequence hp?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {y: 3, g: 6, x: 1, s: 3, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/((-20)\/(-1430)*117).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (83 - 1) + (-20)\/(-10). Let m be (v\/16)\/(-7)*-1. Factor -3\/2*p - m*p**2 - 3\/4.\nAnswer: -3*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186683261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 7*r - 88. Suppose -j - 4*s = -35, 3*s - r = 7. Solve 0 = 8*o - 5*o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23505004 to the nearest ten thousand.\nAnswer: -23510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 15*m**3\/2 + 7*m**2 - 118*m + 2. Suppose f - 4 - 19 = 0. Is y(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-372)\/76 - (84\/266)\/3. Let u(l) = 6*l + 5. Let c(f) = 6*f + 4. Calculate n*u(z) + 6*c(z).\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r, 883 = z - 5*r - 326. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 477, 654, 787, 870, 897?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(-3)*3310\/(-3972)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -95 from 2.3773.\nAnswer: 97.3773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24083*d - 6*d**3 - 24083*d - 6*d**3 + 2*d**3 - d**3 + (0 + 5 - 3)*(0*d**3 + 0*d**3 - 2*d**3) + 5*d**3 - 3*d**3 + 0*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 8 + 17. Suppose -10 = -4*i + 2*w, 0*i - 5 = -x*i + w. Solve -m = -i*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -71. Let s(j) = -3*j + 1. Determine s(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636981.\nAnswer: 3, 113, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1.7, -1, -1.77, 3, -20, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7 + 2 + 2*s**2 + 3*s - 3*s**2 - 6*s**2. Determine p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21455200 (base 6) to base 2.\nAnswer: 10011101100010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1930 by 386.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 184 - o - 176 - 231.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -5811.\nAnswer: 5811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let h = -7 + 8. Let m be h\/((-9)\/(-4) + -2). Solve 0*n - 5*g + 23 = p*n, 20 = 2*n + m*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178194, 712700, 1603522, 2850660, 4454114?\nAnswer: 6413884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Suppose -8 = -2*s - i - 6, 2*i = -8. Let b(p) be the first derivative of -7 + 4\/3*p**s + 0*p**2 + 0*p. Determine b(u(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 90 = 6*x. Calculate the highest common factor of x and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 6*(2 + -4). Suppose m = -2*a - z, -28 + 6 = -2*m + 4*a. Let c = m + 0. Sort c, -5, -1 in increasing order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + q = 37, i - 2*q - 31 = -0*i. Let t be 30\/(-9)*i\/14. Sort 0, t, 2 in increasing order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 - 481. Which is the biggest value? (a) z (b) -1\/3 (c) -3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -101*h - 6157. Let n be z(-61). Solve 0 = -5*k + n*w - 4, 0 = 3*k - 6*k + 5*w - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/((sqrt(196)\/sqrt(7))\/sqrt(4)) + -2 + -5 + sqrt(78)\/(3*sqrt(6)) + sqrt(13).\nAnswer: -10 + 7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = d. Let g = -11 - d. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2910*t + 244449. Determine r(84).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 284259 (c) 5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1271 divided by 3341\nAnswer: 1271\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let w(s) = -3*s - 4. Determine w(b(p)).\nAnswer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1200*0.07\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.1 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 11*g**2 + 9*g + 4. What is a(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 + 14 = 0. Let v(y) = -y**2 + 2*y + 3. Let m be v(4). Are n and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*p - 33, 18 = 2*f + 4*p - 2*p. Let d(u) be the third derivative of u**4\/8 - u**3 - u**2. What is the tens digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27913, 111666, 251253, 446674, 697929, 1005018?\nAnswer: 1367941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 2\/18733, -268?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21470405 rounded to the nearest 10000?\nAnswer: 21470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16980 divided by -4\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2942, 5887, 8832, 11777, 14722, 17667?\n\"Answer: 2945*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpuututuutupt. What is prob of picking 2 p?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from hhjyyyhyhj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 3 + 2*(-5 + sqrt(33)\/sqrt(3) + sqrt(11)) + 1)**2.\nAnswer: -891 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4.3. Let r(z) = -z**3 - 18*z**2 - 15*z - 10. Let y be r(-17). Let t be (-6 - 130\/(-25))\/(y\/10). What is the smallest value in x, 0.4, t, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**2*z**2 + 195699*m**2 - 13*m*z - 214*m - 41*z**2 wrt m?\nAnswer: 16*z**2 + 391398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55\/2 - -28. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 2*g**4 + 12*g**2 + 3*g**3 - 4*g**2 + 2 - 2*g**3 as f + d*g + z*g**4 + t*g**2 + p*g**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52165.\nAnswer: 5, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1816 + -54.8416. Let h = -118 - -64. Let o = h - t. Round o to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 3*o - 56 = 0. Suppose 0 = -c - o*d + 1, 2*c - 4*d - 19 = -c. Solve -c*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.00441, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 54) + 31 + -94\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 6873603480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:19 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-31)\/a**(-1\/10))\/(a**(-4\/15)\/((a*a**(-34))\/a)) assuming a is positive.\nAnswer: a**(-1939\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 - r + 12. Suppose -3*x + 16 + 8 = 0. Suppose m = x - 2. Let y be u(m). Let w(f) = -f + 11. Calculate w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -11. Suppose -8*h + 126 = -2*h. Let r = o + h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiooooooooi. Give prob of sequence oi.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x - 10*x + 42*x - 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 15*q + 3*y = -14, 0 = 3*y - y + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(3584) - -4*sqrt(3584)*2)\/((6*(sqrt(3200) - sqrt(32)) - sqrt(32) - sqrt(32))\/sqrt(4)*-2).\nAnswer: -12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, 5, 0, -1146.\nAnswer: -1146, -4, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77836*t + 49 = -77840*t + 5*d, 0 = -5*t + 3*d - 58 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635414353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 529888 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2647*q + 1108. Let o(b) = -7942*b - 3451. Let f(d) = 6*o(d) + 21*z(d). What is the first derivative of f(c) wrt c?\nAnswer: 7935","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {s: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/35560 and 155\/21336?\nAnswer: 106680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/((((((o**(4\/5)\/o)\/o)\/o)\/o*o*o)\/o)\/o)*o\/o**(-5)*o**(-4\/9) assuming o is positive.\nAnswer: o**(349\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69707420 and 24560.\nAnswer: 278829680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*k**2 - 42 + 3*k**3 - 24*k**2 - 270 + 76*k**2 + 0*k**3 - 102*k.\nAnswer: 3*(k - 4)*(k + 2)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07392 minus 2?\nAnswer: -2.07392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:46 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*d = 15, 5*s - 2*d + 15 = -6. Which is the third smallest value? (a) 5 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -26*m - 67. Let q be s(-4). Let l be (-4)\/14 + 6218\/7. Let n be ((-2)\/3)\/((-4)\/l). Calculate the highest common divisor of n and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 0.6.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + 4 + 1. Sort l, -0.1, -16 in decreasing order.\nAnswer: l, -0.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1579*p - 12652 + 3010 - 4569 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 42*i**2 - 43*i - 26. Determine o(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 17861*v\/4 - 834861\/2.\nAnswer: (v - 93)*(v + 17954)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*m + 10000, -8461 = -4*u + 4*m + 4871. Let o = 22273814\/11 + -2028230. Let w = u + o. What is the common denominator of w and -109\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93959 is divided by 1044?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2 - (-2 - 0). Suppose -q + 2*g + 3*g + 25 = 0, -4*q + 32 = -t*g. Suppose -q*u - 36 = -216. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 12:34 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 4, -4, 0.4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnudpnnp. Give prob of sequence xpu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = v - 6, 5*v - 100 = 2*a. Calculate the highest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4631871 + 4631871 - 4*x. What is i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-3)\/15 + 285\/(-75) + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18744 (base 16) in base 11?\nAnswer: 69289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581062 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 173 - 36*j - 8*j**2 - 157 - 2*j**2 = 0. Calculate j.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1265639 divided by -6.\nAnswer: 1265639\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 224745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176.9 + -185. Let y = -8 - c. Let v = -0.5 + y. Put -3, v, -3\/2 in descending order.\nAnswer: v, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x + 748. Let p be n(-50). Which is the closest to -0.1? (a) p (b) -8 (c) -4\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 77187.49ml to litres.\nAnswer: 77.18749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -37*b + 38*b + 3, 2*h = 5*b - 19. List the prime factors of (b + 2 + -3)\/(52\/14690).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805131402 to the power of 1\/2, to the nearest integer?\nAnswer: 52963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-24))\/(48\/(-120)))\/((-15)\/288).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 43, -98?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.5, -3, 6, 348, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-627)\/1938)\/((-132)\/36)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 1:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94171541?\nAnswer: 94171541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:00 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-4)\/112) + -12. Sort s, -1\/2, -10\/9, -2 in decreasing order.\nAnswer: s, -1\/2, -10\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81558.42 rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, and 1 p when three letters picked without replacement from {a: 1, o: 2, p: 1, q: 1, k: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + 2*(5*sqrt(52)\/(sqrt(20)\/sqrt(5))*6*-5 + 3)**2.\nAnswer: -1800*sqrt(13) + 585020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3202031?\nAnswer: 3202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -s. Let x be s\/3*1 - 5. Calculate the remainder when 41 is divided by (-27)\/(6\/x) - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*u - 177*u = 594*u - 45*u + 47564 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 150.00000206. Round g to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1589124 and 7\/4077.\nAnswer: 14302116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -2*i + 150616, 2*i - 150640 = -3*g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**7\/840 - 5*c**5\/12 + 13*c**4\/8 + 71*c**3\/6 - 90*c. Let y(f) be the second derivative of h(f). Differentiate y(o) wrt o.\nAnswer: 3*o**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2486.901 rounded to the nearest ten?\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkifikyijkkikyik. Give prob of picking 1 k and 2 y.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12310700 divided by 8020.\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75007131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-183)\/6 - -1)*2. Let o = -35 - u. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5535 - 5514. Solve r = 6*j + 57 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4228344*l - 4228354*l + 8456706*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2573*r. Let k(n) = 3493*n**2 - n. Determine b(k(d)).\nAnswer: -8987489*d**2 + 2573*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -1\/2 (c) -513\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/8 - 5*x**3\/6 + 2*x**2. What is the lowest common multiple of 3 and k(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from wbribiibribwbwwbww?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:49 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188700 - 15251. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.529 and 78361043479?\nAnswer: 78361043479.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24 + -26)*((-4)\/10)\/2. Let f be (-8)\/(-30) - 6\/(-15). What is the nearest to l in -3, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20) + (-333)\/(-396)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(2299) - -4*(0 + sqrt(2299)))*-2 + -2)*1)**2*-4.\nAnswer: -919636 - 2640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 10447878.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/7, -46, -0.1, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 10*u - 36. Suppose 20 = -4*d - 8. Let h be 12\/d + u\/(-21). Is h at most -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 793*l**2 - 10*l - 8. What is the hundreds digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142417213.7 to the nearest ten thousand.\nAnswer: -142420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + sqrt(144)\/sqrt(3) - sqrt(3)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19, 12 in ascending order.\nAnswer: -19, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-128)*(-7344)\/8874.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/63, 0, -1\/6, -14, 50 in descending order.\nAnswer: 50, 0, -10\/63, -1\/6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 1849*x + 87187. What is m(46)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -151490?\nAnswer: -151480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33328498831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1*(1 + -2))\/(226 - 19880\/88)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 7*l - 3. What is the remainder when o(-5) is divided by (-10 - (-594)\/63)*-5*7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1)\/3 + -2. Let f = w - -20. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*c*m*o - 6626*c*o + 250*c + 196*m*o + 123*m wrt m.\nAnswer: -45*c*o + 196*o + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -4*m - 2*m - 2 + m**2 + 5*m. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9))**28*(k**(-2\/19))**(-1\/16) assuming k is positive.\nAnswer: k**(-4247\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 13. Let n(h) = 4*h + 3. Let c be n(1). Let a be g(c). Which is smaller: -14 or a?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*y = -21 - 3 + 6, 3*j - 8*y = 34 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4745*d**2 + 6*d. Let p(r) = -49091775*r**2 - 62075*r. Determine 62075*j(u) + 6*p(u).\nAnswer: -4775*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337227 is divided by 142?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -2.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 + 3 = 0. Let a(x) = 9285*x - 74279. Let c be a(8). Solve t*y - 9 = 5*q, -3*q + 8 = 3*y - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 135 (b) -3 (c) -2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = 7. Let q = -9 - -10. Let d be 6\/9*q*-18*-1. Calculate the greatest common divisor of g and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.9, -3\/4 in descending order.\nAnswer: 0.9, -3\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5*o + 3*o - 11 + (0 + 0 + 1)*(-2 - o + 2).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**2 - 1. Let k(q) = -1800*q**2 - 1181*q - 4. Let g(j) = -k(j) + 4*w(j). Find the second derivative of g(l) wrt l.\nAnswer: 3520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**2*i + 2*g**2 + 45684074*g*i - 5*g + 2*i - 9572162 wrt i.\nAnswer: 2*g**2 + 45684074*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 6*j**2 - 12*j**2 + (5 - 3 - 3)*(-2*j**2 + j - j).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {i: 4, b: 3, l: 2, y: 1, p: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12331420 plus -0.037837?\nAnswer: -12331420.037837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 13*z**2 + 7*z - 4. Let x be l(-8). Suppose -h - x = -5*h. Let y be 4600004\/(-10) + 26\/h. Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + 1 + sqrt(1216) - (-2*sqrt(931))**2.\nAnswer: -3723 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72268d + -a?\nAnswer: -722698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4660\/3567 - -32\/1189. What is the nearest to 1\/4 in -1\/35, l, -0.05?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356265 (base 9) to base 4.\nAnswer: 310120103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/12 (b) -9 (c) -1\/452 (d) -0.2 (e) 6 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/15)\/(-1) + (-5800)\/21000. Which is the closest to 2? (a) -0.1 (b) n (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 2) + 3 + (10 - (-41 + 35))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2015129 and 5245.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -2795\nAnswer: 5\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/78705 and 7\/908685?\nAnswer: 9995535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269 + -263. Calculate the lowest common multiple of 11 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 3. Calculate the remainder when (-23)\/(1\/(-7) + (-96)\/112) is divided by v(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + (3 + 4 - -1))\/(2\/(-2)). Sort 3, -2, v, 82, -3.\nAnswer: -3, -2, v, 3, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084731 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0635388 meters to millimeters.\nAnswer: 63.5388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*c = -20, -4*x - 3 = -5*x + c. Let y(i) = -i - 8. Let q be y(-12). Solve -3*t + q*t = -x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 6, -221 in descending order.\nAnswer: 6, 5, -1, -3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 69 + 5 + -20.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 69501*i - 2. Let l(b) = 3*b. Calculate f(l(c)).\nAnswer: 208503*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3918 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.76 - 1835\nAnswer: -1832.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((60\/(-600))\/(2\/(-110)) + -8)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 + -167. Let m be 160\/88 + (-4)\/o. Solve -10 = -2*k, -3*k = -m*f + 3*f - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**4 + 121*r**3 - 822*r - 2?\nAnswer: -96*r**2 + 726*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.3, 1\/4, -0.8, 101, 181?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*q - 70, 4*m + 0*q - 79 = -q. Suppose m*x - 9*x - 480 = 0. Let s = 30 + -20. Calculate the remainder when x is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - (-5 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 + 45*c + 16*c + 59*c + 342 + 558 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 * -0.145\nAnswer: 9.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4476 + 4274. Which is smaller: h or -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2814*c + 158614*c**2 + 2814*c - 158620*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*u**3\/7 - 66*u**2\/7 + 51*u\/7 - 12\/7.\nAnswer: 3*(u - 1)**2*(9*u - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -26, -22, -16, -8, 2?\n\"Answer: t**2 - t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - 2689*s + 2689. What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 200340*l**2. Let i(r) = -2251*r**2. Determine 12*d(j) + 1071*i(j).\nAnswer: -6741*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*g + g + 108 = 0, 4*k - 3*g - 144 = 0. Is k\/(2 + 1)*2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, and 2 v when four letters picked without replacement from {m: 8, v: 2, b: 4}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*s + 2, 3*s = -148*d + 145*d - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 4. Let l(a) = -36*a + 21. Let n be (9\/(-2) - -3)*14. Determine n*b(i) - 4*l(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**4 - 25*r**3 - 5*r**2 + 293. Let c(l) = l**4 - 12*l**3 - 3*l**2 + 147. Let u(n) = 5*c(n) - 3*w(n). Find the first derivative of u(d) wrt d.\nAnswer: -16*d**3 + 45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55438026 to the nearest integer?\nAnswer: 7446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 6*f**2 + 6*f + 4. Let j = -11 + 6. Is d(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -819, -818, -817?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**2 + 9*o. Let t(d) = -12*d**2 + 6*d + 2. Determine -4*t(w) + 3*x(w).\nAnswer: 6*w**2 + 3*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwwwwwwwnnwwww. Give prob of picking 3 n and 1 w.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56243 is divided by 218.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 386.01 and -14.\nAnswer: -5404.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3815*v + 3805*v + 60 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -21 + 9\/7*m**7 + 1\/4*m**4 + 0*m**2 - 27*m**3 + 0*m**6 + 0*m**5 + 0*m. Find the third derivative of z(b) wrt b.\nAnswer: 1080*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmvffmmmvfm. Give prob of picking 4 f.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9768 divided by -814\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0246 - -0.0446. Let v = 0.1 + -0.1. Which is the second biggest value? (a) v (b) x (c) 0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.4, -0.5, 795, -7, 3\/4, -0.2 in increasing order.\nAnswer: -7, -0.5, -0.2, 3\/4, 5.4, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*z + 52 - 52)*(-2 + 2 - 2) + (1 - 1 - z)*(-2 + 3 + 0))*(1 - 3 + 5) to the form i + r*z and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1636\/3 - -520. Let d be (-10)\/3*(-2 + -1). Find the common denominator of j and 11\/2*(-18)\/d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*m = -35, 3*m - 31 = 2*d - 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, -17, 7, 3\/8.\nAnswer: -17, -3, 1\/3, 3\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0.4 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23724668 times 0.1?\nAnswer: 2372466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7018222 - 0?\nAnswer: -7018222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 11\/12 (c) -874\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 15 (c) -7 (d) 1\/48 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 15*i + 1125. Calculate the common denominator of -101\/20 and 9 + -10 + (-153)\/i.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by -27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 17 - 43 + 26.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8337267*-0.3.\nAnswer: -0.25011801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 - y + 2. Let q be f(-7). Let m(s) = s**2 - s. Let r(c) = 3*c**2 - 18*c - 4. Let x(z) = 2*m(z) - r(z). Is x(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1852, -1855, -1858, -1861?\n\"Answer: -3*d - 1849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -19. Let n be (7\/j)\/(1\/(-3)). Suppose 6 = 5*q - 9. Sort n, q, -4 in descending order.\nAnswer: q, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/9, -0.043, -102, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146104 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:06 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 115*z + 349. Let l be c(5). Let g = l - 750. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12dd4 - -348?\nAnswer: 1333c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -417, -1233, -2713, -5049, -8433, -13057?\nAnswer: -19113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 96, -50, 12, 0 in ascending order.\nAnswer: -50, -5, -1, 0, 12, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 2*b**2 + b + 5*b + 3*b**2 + 16. Suppose r + 16 = -2*c + 4*r, -4*r = -c + 2. Is g(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f**3 + 0 + 11*f**3 + 11*f**3 - 95*f**2 - 1 as a*f + j*f**3 + i*f**2 + n and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, 0.3, 10\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 9*h + 1. Let r be x(12). Let p = -15 + r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 477796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2425, 9447, 21219, 37795, 59229, 85575, 116887, 153219?\n\"Answer: 9*x**3 + 2321*x**2 - 4*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 + 514117659*k\/2 + 88105655765213427\/4.\nAnswer: 3*(k + 171372553)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 2*d - 5. Let v(g) = g**2 + g + 5. Let f(b) = -2*r(b) - 3*v(b). Give f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 4*w = 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8.1. Let n = 3.9 - g. Let o = 0.47 - 0.07. What is the closest to 0 in n, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 6 + 22 = -9*s. Let c(k) = 7*k**2 + 5. Let r(f) = -f**2 - 1. Let b(o) = -2*o**2 - 2. Let g(t) = -b(t) + 3*r(t). Determine s*c(x) - 6*g(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 14b?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 214454419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3285, 4055, 5279, 6957, 9089?\n\"Answer: 227*d**2 + 89*d + 2969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 782626 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 - 1447 = 86*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -26 + -5 + 5. Let j = -12 - c. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i - 71*i + 588 = 0. Calculate the greatest common divisor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 28*t**3\/3 + t**2 + 166*t - 140. Let u(w) = -w**2 + 2*w + 1. Let q(h) = d(h) - u(h). Differentiate q(j) wrt j.\nAnswer: 58*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 27. Let o = 17\/4 - 4. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44.02955*0.5\nAnswer: 22.014775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*4\/(-4). Suppose -2*x + 4*d + 6 = 0, x - 12 = -x - r*d. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*j + 8 = 0, 5*i - 45 = 4*j - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11529764 is divided by 156?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7*a**(-2\/39)*a\/a**(-17)*(a**(-2\/85)*a)\/a*a assuming a is positive.\nAnswer: a**(85942\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and -0.03389582?\nAnswer: 1.23389582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0.4, 5, 24, -0.6?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*q. Suppose 4*s + 8 = 3*b, 0 = 4*b + s + 1 + 1. Let h = b + q. Solve -2*i = -2, -5*i + h*i + 7 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqd when four letters picked without replacement from {d: 4, q: 8, a: 2, m: 1}.\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x + 6*x - 2*h, 0 = 3*x - 5*h + 8. What is the second derivative of z**2 + 13*z - 17*z**x - 3*z**4 - z**2 wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(m*m\/(m\/m**20*m)))*m))*((m*(m\/m**(-19))\/m*m)\/m)\/m*m*(m**(-5))**(-2\/17))**(-5) assuming m is positive.\nAnswer: m**(-3535\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3 = -4*s + 5, 3*k = 2*s - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(100)\/sqrt(5))\/sqrt(10))**2*4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -25. Suppose -10 - 9 = -5*y - f, -5*y + a = -f. Solve 4*d - y*d = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1769651825 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 2:15 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5 - 396239*n**4 + 6736289*n**3 - 24964373*n**2 - 97081348*n + 543663232 = 0.\nAnswer: -396256, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -3*a + 4, -5*a = 3*d + 16. Let l = 1 - 3. Let u = d + l. Let r(t) = t + 5. Determine r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2. Let g(x) = -24*x - 35. Let t(y) = -11*y - 17. Let z(w) = -6*g(w) + 13*t(w). What is -11*a(s) + 2*z(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94009 + -7009. Let x be 12\/(-48) + z\/12. Let n = x - -8413. Find the common denominator of 71\/16 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5845 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 + f - 1. Let o(k) = 3*k**3 - 2*k**2 - k + 5. Let n(i) = o(i) + 4*p(i). What are the prime factors of n(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*x**2 - 1098*x - 14031028?\nAnswer: 64*x - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 30. Let g be x\/10 - 26\/65. Let t be g + 3 + (-9)\/6. Which is the closest to 0? (a) t (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from uycaxuuux?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12 - (-110)\/(-60). Let l = i - -3. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-521)\/9899*38\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0 + 0 - 2 - z**3. Let k be b(-2). Suppose 0 = -4*h + k*h - 4. Solve 0*g - 2*g + 4 = 0, -29 = 5*x - h*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*n - 0*n + 518, b = 5*n + 158. Let k = 173 - b. Let t(y) = -5*y + 11 + 280*y**2 - 4 - 281*y**2. Give t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 1279*j**2 - 2566*j - 1433. What is the derivative of s(p) wrt p?\nAnswer: 2558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30670082 divided by 4.\nAnswer: -15335041\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:22 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(1 + -4) + 163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -270, -25, 378, 939, 1658, 2535, 3570?\n\"Answer: 79*g**2 + 8*g - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbababmbbbwwwbbbcbb. What is prob of picking 1 c and 1 a?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 144?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4097754.8.\nAnswer: 4097762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 26833*c**2. Let s(w) = w**2. Give f(s(l)).\nAnswer: 26833*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x**2. Let y(k) = -19*k - 19*k + 5 - 23*k - 24*k + 87*k. What is u(y(b))?\nAnswer: -68*b**2 - 340*b - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*s*w - 41*i*s*z + i*w*z - 2*i*w + i*z + 3*i + 45*s*w*z - s*w - 21*s + w*z + 15 wrt z?\nAnswer: -41*i*s + i*w + i + 45*s*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.93227 and -371006.\nAnswer: -371010.93227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:40 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(6\/(-279)). Suppose 4*x = -2*r - 4, -4 = -x - 2*r + 4*r. Suppose -4*i + d + 13 = x. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 5*q**2 - 12 + 8*q + 2\/3*q**3. Factor h(l).\nAnswer: 2*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33938, 271728, 917130, 2173946, 4245978, 7337028, 11650898, 17391390?\n\"Answer: 33967*r**3 + 4*r**2 + 9*r - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 4. Let x be u(-5). Suppose -t = 4*r + 2, r - 6 = -2*t + 5*t. Let f be t\/x - -3 - 331. Round f to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z. Let i(t) = 55*t - 90. Let h(m) be the first derivative of 5*m**2\/2 - 8*m + 130. Let l(f) = 45*h(f) - 4*i(f). Calculate d(l(n)).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**3*r**2 + q**3 + 40*q*r**2 - 18*q - 1 wrt r?\nAnswer: 6*q**3*r + 80*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4837 + 8250. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2 - (-14)\/(5 - -2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5286847153?\nAnswer: 7, 17, 89, 499183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 2. Let u be t(-2). Suppose u = -0*k - k + 1. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 = 188*b - 187*b. Let z = -523 - b. What is the remainder when 435 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.746 - -0.104. Let r = 10.56 - z. Round r to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 440.99999078 - 441. What is b rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 19. Suppose 0 = -3*j + 6*j - z. Let f(d) = -d**2 - 5*d - 3. Let p be f(-2). Which is greater: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -26. Let p(f) = 39001*f - 2. Let q be p(n). Round q to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p - 937*p = -4448 + 135740 for p.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 + -5.4. Let p = 0.4 + -2.4. Which is the closest to 0? (a) 4 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 118. Let g = 7209\/1190557 + -1\/3431. Let b = 4507\/694 + g. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/70)\/(44\/55)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79098*m**3 + 39321*m**3 + 39522*m**3.\nAnswer: -255*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - d - 2*d)*(-2 - 2 + 6)*(36*d - 36*d - 13*d**2) + 3*d**3 + 2*d**3 - 3*d**3 + (-3 - 2*d**2 + 3)*(1 + 2*d - 1) + 2 + 3*d**3 - 2.\nAnswer: -129*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/16*77\/21 and -101\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -2)\/(4\/(-26)). Sort d, 4, 3, 0 in descending order.\nAnswer: d, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -p - 0*a + 4*a, -2*p = 3*a - 33. Let q(r) = p*r**2 - 12*r**2 - 5*r**2. Let m(k) = 4*k. Determine m(q(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2032.46 to the nearest 10.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -187942.3 + -0.06224?\nAnswer: -187942.36224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 369 - 2501 - 822 = -23*b for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/(w**(-4)\/w))\/((w\/((w\/(w*w\/(w**(1\/2)*w)))\/w))\/(w*w*w**(-1))) assuming w is positive.\nAnswer: w**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:14 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 1. Let q(g) = g**3 + 6*g**2 - 3*g - 15. Let d be q(r). Suppose l - 2*l**2 + l**d - 3*l + 2 + 0 + l = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409.4 - -381. Let p = x + 28.4. Which is the closest to p? (a) -5 (b) 0 (c) 2\/343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -303\nAnswer: 11\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -504, -904, -1304?\n\"Answer: -400*k - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 32. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 44, -11, 1\/3, -1, -0.11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 31*k**4 + 148*k**3\/3 - 2*k - 138. What is the third derivative of c(u) wrt u?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -221*r. Let c(p) = -349121*p. What is c(v(z))?\nAnswer: 77155741*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 270888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/2))\/(z*z**(-3\/2)*z)*z*z**(-2\/13)*z*z\/z**0 assuming z is positive.\nAnswer: z**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - ((-10629)\/36 + 13). Sort q, -5, 0.\nAnswer: -5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:26 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -9. Let v = d + 0.9. Which is greater: v or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**6 + 101*x**4 - x**2 - 199*x - 2.\nAnswer: 600*x**3 + 2424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48, 1\/7, -4, 4, -39, -5, -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -g + 66563, -571*b = -5*g - 568*b + 332951. List the prime factors of g.\nAnswer: 5, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (2 - (-1 - -5)). Suppose 2*y + x*u + 2*u = 16, -18 = -3*y - u. Let i = 1954 - 1909. What is the greatest common factor of y and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 9*z + 8. Suppose -3*j = -2*n - 8*j - 1, j = 5*n - 38. List the prime factors of w(n).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -2917.\nAnswer: -24\/2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2. Let l(m) = -m. Let q(v) = -v**2 + 5*v. Suppose 11*p - 12 = -p. Let c(d) = p*q(d) + 5*l(d). What is -2*c(x) + j(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124)\/(-248)*(0 - -43262) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9827\/6 - 1653. What is the common denominator of -127\/30 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156.5 + -157. Which is the closest to l? (a) 0.1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p - 3. Let a be 2\/7 - 370\/70. Let x(k) = 13*k - 5. Let j(b) = a*x(b) + 7*t(b). What is the derivative of j(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 226 + 1150 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6.06. Let m = 0.04 - u. Put m, 0, -0.2 in ascending order.\nAnswer: -0.2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.496 at most as big as 1\/492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1011010011?\nAnswer: -1011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let o(k) be the second derivative of 0*k**2 - 1\/3*k**3 - 6*k + 0. Determine o(d(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 24*u**2 - 6*u + 55. Let s(h) = h**3 + 12*h**2 + 3*h - 28. Let p(c) = -5*s(c) - 3*v(c). What is the tens digit of p(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2694)\/(-440) - ((-8 - -3) + 11) and 47\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -o + 23, o = 2*v - 58 + 53 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1023?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 3 + 8 - 20 + 14. Let v be l(0). Suppose -5*z = v*f, 0*f + 4*f - 20 = z. Solve -3*g = -4*g + f*y + 13, 16 = -4*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 172*n - 5 = 167*n, n + 12 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -420 + 591. Let a = 911 - 892. What is the highest common factor of a and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 140.8, -0.3, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945962 is divided by 15015.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 9. Let x(p) be the first derivative of -2*p**2 - 9*p + 2. Let g(k) = -4*x(k) - 3*z(k). Let q be g(-7). Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 4*q**2)*(-3*q + 8 + 9*q**3 + 7 - 16).\nAnswer: 9*q**5 - 3*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*f - 20, -29*v = -4*f - 30*v + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 130 (c) -11.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*v + 2*k, -4 = 5*v + 2*k - 19. Solve 0 = -m + v*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(6\/4) - 5. Let t be (-17)\/(-102) + 34\/12. Let y(u) = u**t + 4*u**2 + 2*u + 0 - u - 2. Calculate y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9777021?\nAnswer: 3, 557, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 2 + (sqrt(13)*3)**2*-4.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (538\/1076)\/((-6)\/16*4\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 609943999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 10*q - 10. Let c(n) = n - 1. Let a(t) = -10*c(t) + x(t). Let z(r) = 7*r**2. Determine z(a(p)).\nAnswer: 28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 11*f**2 + 5*f + 1. Let w be (3\/12)\/((-1)\/(-44)). Let z be d(w). Let r(m) = -52*m + z*m - 3 + 3. Determine r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 7*x**2 + 3*x - 10. Let p be d(4). Solve 4*h - p = 5*l, -2*h + 2 = 4*l - 3*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 14998\/(-28) + 1. Let i = k - -532. Let l = 5831\/3 - 163433\/84. What is the common denominator of l and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/121, -61, 4.9?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 3*y + 67*y**2 + 6*y - 2*y + 5*y.\nAnswer: 67*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3\/7 - 5275176*c**2\/7 - 21100640*c\/7 = 0.\nAnswer: -1318790, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/4 - 63*k. Let q(t) = -3*t**2. Give z(q(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.051 + 12.741. Let r = q + 0.31. Let w = r + -8. Which is the nearest to -2? (a) 2\/9 (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2135576 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 + v**5 + 2*v**5 + (v**4 - 3*v**4 + 3*v**4)*(29*v + 3*v - 10*v)*(-2 + 16 + 1).\nAnswer: 328*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 819616 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125314?\nAnswer: 2, 7, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b*m**2 - 33778*b + 3239*m**2 wrt m.\nAnswer: -10*b*m + 6478*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 + 4*y - 20. Let m be n(0). What is the remainder when 243 is divided by -98*(m\/32 + (-2)\/(-16))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 70 = -7*q. Suppose -j - q = -h + 3*j, -3*h = -2*j - 80. Find the third derivative of 11*n**2 + 14*n**5 - h*n**5 + 24*n**5 wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323715.299954 - -323719. Let m = 66.7 - 63. Let l = i - m. Round l 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 picking 1 m, 1 s, and 2 f when four letters picked without replacement from hflhllmlssmfl?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(168\/16)*3\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-33)\/(4785\/464).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2640ba (base 16) to base 5\nAnswer: 1120210223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460082805.\nAnswer: 5, 492016561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -706 + 1202. Let y = l - 258. What are the prime factors of y?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 36*(21\/6 - (-6 - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5372 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = n. Suppose -n*d - 3 = -2*x + 7, x - 3*d - 15 = 0. Let o be 12\/(-8) + (-35)\/(-28). What is the closest to o in 0.5, x, 3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 7. Let l be n(0). Let a be (-1 + -1)*9\/(-6). Suppose 0 = a*q + l - 103. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9464330*i**3 - 18477*i**2 + 18477*i - 73908. Let f(b) = 2049*b**3 - 4*b**2 + 4*b - 16. What is -18477*f(o) + 4*g(o)?\nAnswer: -2053*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 158*x + 6258. What is y(-76)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x. Let v(o) be the second derivative of -7*o**3\/6 + 17*o - 2. Suppose 0 = 3*z - 11 - 7. Calculate z*s(d) - 5*v(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let t(u) = -3*u**2 + 3*u - 3. Let h(w) = -9*w**2 + 8*w - 8. Let k(f) = -3*h(f) + 8*t(f). Determine k(q(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 + 13. Suppose z(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 4?\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m**2 + 8. Let g be t(0). Calculate the common denominator of ((-755)\/(-100) - g) + 4\/(-10) and 137\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*h + 5 + 7 = 0, -3*z - 5*h = -8. Let b = -12 - z. Let k be (-29)\/14 + (b - -10). Is 0 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49873, 99741, 149609, 199477, 249345?\nAnswer: 299213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2512\/10)\/(2\/5).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -7\/2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 + 0 + 6)) + 48 + 10 + -5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 5988543?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*k**3 - 2)*(-3*k + 2*k + 3*k)*(-5228 - 7667 - 8565 - 11996) to the form j + i*k + v*k**4 + z*k**3 + u*k**2 and give v.\nAnswer: -133824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48940746*m**3 + 14424877?\nAnswer: 146822238*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 943000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/10 + 1 + 369408\/4440.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-495))\/((-14)\/(-5))*28\/208.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -124443, -124444, -124445, -124446?\n\"Answer: -j - 124442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3 - 1 - 2 + 4 + (4 - 1 - 1)*(-2 - 4 + 4) - 3 + 1 + 1)*(-4*n**5 + 4*n**5 - 2*n**5).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 12:11 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26)*w*w**(-47) assuming w is positive.\nAnswer: w**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-372)\/(-62)*2\/3*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 1, -112, -225?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 - 119. Sort 7, w, -5, 5 in ascending order.\nAnswer: -5, w, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o + 684 = 2166. Suppose 0*c - 3*k = -2*c + 8, 5*c - 30 = 5*k. Suppose -c - 6 = -g. What is the least common multiple of g and o?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*x**2 + 17*x**3 - 9*x**3 + 2 - 6 to the form g*x**2 + c*x + w*x**3 + j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t + 8. Give p(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570656 is divided by 80795?\nAnswer: 5091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/120 + v**4\/3 - v**3\/2 - v**2. Let f(z) be the first derivative of o(z). Let m be 4 + -3 + (-5 - (-1)\/(-1)). Give f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 120 - 266 = 0. Suppose 0 = -4*y - 5*r + 527, -5*y + r = w - 830. Let m be 0 - (-4 + y\/28). Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*b + 2*b. Let m(l) = l**2 - 2*l + 1. Determine m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 146152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -x. Let w = -2 + x. Let f(p) = p + w*p - 2*p. Let q(l) = -3*l**2. What is q(f(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 521.2755 millimeters?\nAnswer: 521275.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 1. What is f(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43276.44 days to hours.\nAnswer: 1038634.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 257213884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let c(f) = f + 2. Let u(h) = 5*h + 11. Let w be (22\/8)\/((-2)\/(-8)). Let t(v) = w*c(v) - 2*u(v). Calculate t(g(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3361016 and -19\/328.\nAnswer: 3361016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*g - 13350016, -22250016 = 5*q + 4*g - 8*g. Round q to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.13 + -1.13. Which is greater: -21 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 2597, 8270, 19313, 37514, 64661, 102542?\nAnswer: 152945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 19 - 4 = 0. Sort 5, 7, p, -2 in increasing order.\nAnswer: p, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11977 divided by 4298.\nAnswer: 1711\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**2\/2 + 3*c - 1. Let z be (-28)\/(-2) + (2 - 2). Let b = z + -16. Calculate o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150857 by 2.\nAnswer: -150857\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -31 + 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190240 and 3772?\nAnswer: 4375520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 7}. Give prob of picking 2 j and 1 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2981 and -661943\/222 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 1071?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 19. Let i be y(-5). Let n(g) = -g**2 + 2*g + 1. Determine n(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21*8\/16*56\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -11*r**2\/2 - 4*r + 1. Let q(w) = -30 - 5*w + 13 + 15. Calculate 6*k(u) - 13*q(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*t**4 + t + 74*t**3 + 2*t**2 + 199*t**4 - 94*t**4 - 2 to the form h*t**2 + f*t**4 + q*t + n + a*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = k + 7536 - 7586, 5*t - 132 = -4*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/3)\/b)\/(b\/(b\/b**(-17)))*b**(-3)\/((b\/b**(-28))\/b))**(5\/3) assuming b is positive.\nAnswer: b**(-205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*g - 15, 270*t = 4*g + 267*t + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17334)\/(-72))\/(12\/64). Let a = q + -843. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*c + 23*c = -19*c. Let a(m) = -4*m**3 + 2*m**2 - 1. Let q be a(-1). Solve q*o + c = -10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21776 is divided by 388.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 38*q - 33*q - 14, 2*h = -q + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(6\/(-40)) + 97709304\/9762928.\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 3 + 8*q**2 - 6*q + 6*q - q**3. Let k = -1 + 5. Does 6 divide w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 150 = -4*x, 2*x = 4*x - a - 69. Suppose 0 = j - x + 3. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let r(o) = o. Determine 4*q(x) - 6*r(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7 - q + 44*q**3 + 8416*q**2 - 8416*q**2 wrt q?\nAnswer: 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/4 - n**3\/2 - 3*n**2\/2 - 30*n. Let l(c) = c**3 - 2*c**2 - 2*c - 2. What is 6*l(r) - 4*m(r)?\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 7 - 14\/(42\/351). Sort 4, y, 5, -5, -3.\nAnswer: y, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84987 and 128079?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-30)\/(-36) - 1). Let l = 212\/299 - 11\/23. Let u = l + 1\/52. Which is the second biggest value? (a) d (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2 + 0 + f + (3 - 3 - 2)*(-6*f + 3*f - 3*f).\nAnswer: 13*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1*-5 + -4 + sqrt(500) + 0)**2.\nAnswer: -480*sqrt(5) + 18016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1042 - 251310?\nAnswer: -250224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14515177?\nAnswer: 97, 151, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(5 + -6) + (-55)\/(-14). Suppose 6*z - 3*z = 12. Suppose -d = 3*w + 3, z*w + d = 3*d + 6. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/9)\/((-5)\/(-15)). Which is the nearest to 4? (a) d (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8067945312?\nAnswer: 2, 3, 7, 37, 108161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18313082*z**2 + 388*z + 32531 wrt z.\nAnswer: 36626164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Let s be 119\/21 + (-1)\/u. Let p = 10 - s. Put p, 1, -4 in decreasing order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73f2 (base 16) to base 5.\nAnswer: -1422212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932 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: Is 0 at least as big as 15\/2117554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 - 6*v - 2. What is h(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3, 2, -0.1, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10672 minus 2127.592?\nAnswer: 8544.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14*h - 1. Let o(y) = -3*y**2 + 1. Let w be o(2). Let u = -4 - w. Suppose z + u = 6. What is j(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 18. Let j be (-3)\/9*(v - 15). Suppose 2*w = -i - 48 - 14, 0 = -j*i + 4*w - 338. What is i rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + p**2 - 1)*(1 + 4 - 3) + 2*p**2 + 0 + 0)*(-3980*p**2 - 312*p - 4032*p**2 + 312*p).\nAnswer: -32048*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*t + 4 = -502*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3732 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -719\/770 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/11, -56\/13, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*s + 2841, 4*y - 2*y = 2*s + 1894. Suppose -149 - y = -2*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 2*j - 6. Is 18 a factor of q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = m - 4*b, 3*b = -3*m - b - 97. Find the common denominator of 22\/7 and (-5)\/55*m + 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -3 - (-132 - -90 - (-11 + -1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0 + 1)*-2. Which is bigger: -16\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*o - 82 = 0, -p = o - 0*o - 22. Calculate the least common multiple of 4\/14 + (-24)\/(-14) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1603 - -4117. Is o a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 82, 4, -0.2?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24885, 49781, 74699, 99651, 124649, 149705?\n\"Answer: 2*r**3 - r**2 + 24885*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 353207 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: List the prime factors of 56003.\nAnswer: 56003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10.7 times -41\nAnswer: 438.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 5, i: 3}. Give prob of picking 1 i and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -120. Suppose -z + 20 = 2*i, 5*z + 2*i - 88 = -2*i. What is the lowest common multiple of z and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 + 5*l + 27. What is a(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129349, -129333, -129315, -129295, -129273, -129249?\nAnswer: -129223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-16) - -2)\/((-3)\/(-30)). Let w = 9 + -7. Suppose w*u - z = -30, -3*u - 5*z = -3*z + 31. Put u, 3, a in increasing order.\nAnswer: u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*p + 90678, 1238*p = 1233*p - 4*w + 90686. Calculate the lowest common multiple of p and 10.\nAnswer: 90670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24927502 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: Let n(u) = 103*u**3 - 16*u**2 - 46*u - 16. Is n(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/9*a**4 + 32\/9*a**2 + 0 - 8\/9*a - 10\/9*a**3.\nAnswer: -2*a*(a + 1)*(5*a - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3360*i + 1229761. What is t(366)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 + 12 = 0. Let s be (16\/(-12))\/(o\/(-15450)). What is s rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 9*d**2 - 2*d - 4. Let f = -12521 + 12516. Let n(h) = -2*h**3 - 10*h**2 - 3*h - 5. What is f*b(r) + 4*n(r)?\nAnswer: -3*r**3 + 5*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 22*j - 10*j + 3*j.\nAnswer: 3*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253763 = 167*t - 507757. What is the remainder when t is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 46 = 76. Solve -2*j + 0*b = b - a, 0 = 2*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34325 + 59626. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(11) - sqrt(3))**2 + 4 + (sqrt(27)*-2*3)\/sqrt(9) + 5)*3.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.9 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-7)\/(-14)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m - 6. Let o(n) = -3*n - 6. Let t be o(-4). Let s(q) = 7*q - 75. Let d(g) = 7*g - 63. Let f(u) = 6*d(u) - 5*s(u). Calculate t*b(j) - 11*f(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 + 172 = 5*k. Let l = k + -47. What is the third derivative of -102*t**3 + 2*t**2 + l*t**3 + 26*t**2 - t**2 wrt t?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 56 + 92 = 23*p. Solve -p*f + 17 = -5*c + 4, 5*c + f = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4383603 divided by 1461201.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 67.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.058, -4, 0.2, -5, 0.4, 26280\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*n - 10315 = 9269 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*c + 17, -5*b - 4*c - 125 + 127 = 0. Put 0, b, 4, -7 in decreasing order.\nAnswer: 4, 0, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) + sqrt(432) + 1*sqrt(432))*-3 + sqrt(432) - sqrt(432) - sqrt(432))\/(4*sqrt(99)\/(sqrt(11) - sqrt(275))).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 691*h + 10. Let a be k(2). Suppose 6*w + a = 22*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00183697 rounded to five dps?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.7. Let c = -0.2 + q. Let j = -5 + 8. What is the closest to 1\/4 in j, -1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8306.02695 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 11) to base 16\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 231, 223, 211?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5518022045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611155 = 111*o - 1281681 - 1575892. What are the prime factors of o?\nAnswer: 2, 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/36)\/((-13)\/39))\/((-1014)\/936).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(21)\/sqrt(7)*2)**2 + -3 - (sqrt(21)\/(sqrt(567) - ((sqrt(567)*-1 - sqrt(567)) + sqrt(567)))*-2)**2.\nAnswer: 215\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11809 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2132 - 1.0132. What is the nearest to 1 in g, -91, 28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)\/(w*w**(-1\/5)))**24 assuming w is positive.\nAnswer: w**(-1896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 11:59 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d - 10. What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1795)\/(-15) - (-10)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from ysoouoosukouuuukuu?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1116\/2219, -8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9488 <= -9465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + (-1*sqrt(150) - sqrt(150)) + sqrt(150))\/(-3*sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x**3 - 11*x**3 + 34*x**3.\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = -0*h + 2*h, 3*h = 2*f + 8. Suppose o + 3*o - 19 = 3*m, h*m + 8 = o. Is 2\/169 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-268)\/12 + -4 - 2\/3. Let k = h + 38. Calculate the remainder when 26 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {r: 5, b: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -114222*x**2 + 40*x - 512. Let g be m(12). What is g rounded to the nearest one hundred thousand?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3254 - 3235.05. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188062425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 - 6. Let y = -1 - z. Let b be -4*-2*3\/(-12). What is the second smallest value in y, b, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3 - 17. Suppose -i = -b*i - c, 0 = 3*i + 2*c. Suppose i = -j + 15 + 16. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1248 = -4*q, 2*z + 1238 = 4*q - 0*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -19. Suppose -5*q - 71 = -4*i, 5*q + 7 + c = i. Let g = -8 + i. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -26*t - 138. Let a(l) = 19*l + 92. What is -11*a(m) - 7*h(m)?\nAnswer: -27*m - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 5789659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*z - 4*z = 16, 2*i - z - 13 = 0. What are the prime factors of ((-3)\/i)\/(1\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 301*k**3 + 2*k**2 - k. What are the prime factors of h(1)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - j)*(-2*j**2 + 3*j**2 + 2*j**2) + 2*j**3 + 7 - 7 - 22*j**3 + 78*j - 78*j - 4*j**3 + 5*j**3 + 0*j**3 + (j + 2*j + 0*j)*(j**2 - 4*j**2 + 0*j**2).\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81446987 to the nearest integer?\nAnswer: 9025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 26. Let n(o) = 22*o**2 - 9*o + 25. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 + 2356879.\nAnswer: 2356853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1)\/((-55)\/315) - -4. Let k be 2\/3*(-9)\/36. Which is the biggest value? (a) k (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/(80370\/5264)*(-90)\/50?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + 149 + 5*-1 + (-104)\/(-48)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(2448))**2 + (sqrt(85)*-2)\/sqrt(5).\nAnswer: 46*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1877813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 460 in ascending order.\nAnswer: -5, -3, 4, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, p: 1, m: 3, b: 2}. Give prob of sequence pmr.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*u**3 + 77*u**3 wrt j?\nAnswer: u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - w - 17 = 0, z + 64*w + 14 = 60*w for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-2) - (28 - (0 + 32)). Solve 34*q + p = 37*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -137. Let y = w + 57.142. Let l = -8.442 + y. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39587948 is divided by 6256.\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147018922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 428282611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-14)*(0 - -44). Suppose -c = -w + 2*v, 4*w = 2*v + 88 + 152. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {m: 2, o: 3, w: 10}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -90, -93, -98, -105, -114, -125?\n\"Answer: -g**2 + 2*g - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -0.7. Let n = w + -5. Let j = -66 - -196\/3. Which is the third biggest value? (a) j (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -395115300 + -755.\nAnswer: -395116055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrqqqqjqqrqqq. Give prob of picking 2 r and 2 q.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5 = -5*q, 33*b - 31*b + 2*q = -16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13135249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*t + 1886, 5*t + 2*j = -j + 3175. Suppose 0 = 122*s - 117*s - 15. What is the second derivative of -t*l**4 - 28*l + 623*l**4 + s*l wrt l?\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 2301*s**2 - 2314761*s\/4 + 576389.\nAnswer: (s - 244)*(s - 1)*(s + 9449)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgv when three letters picked without replacement from ggggvgvgvggggggggvg.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*v**5 - 12*v**6 + 6*v**2 + 212*v**5 wrt v.\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7201 (base 11) to base 10.\nAnswer: -9560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/3 - 5*b**2 - 3*b. Let w be d(-10). Let v be w\/12 + (-16)\/96. What is the nearest to 0.2 in 5, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 372 = 54*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111110111101001 (base 2) to base 6.\nAnswer: 20344105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34722299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1417 divided by 13.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 11\/2, -4, -0.06, -1\/3, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - j - 5. Does 2 divide v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose -2*n + c = 2*n - 18, n + 6 = -j*c. Suppose -x - 4 = -n*w, 0*w = 3*x + 3*w - 48. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/120 and -139\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/83808 and -185\/1271088.\nAnswer: 7626528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c + -c1cc8b?\nAnswer: -c1ccca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5066 + -5057. Suppose 0 = 2*t - t + 45. Is 9 a factor of a*5\/(t\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5))**(-17) assuming n is positive.\nAnswer: n**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19581 + 0.19581. What is the nearest to -4 in 5, -1\/145, z?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/32294 and -69\/26072?\nAnswer: 420984584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 10*a + 12 = 0. Suppose 0 = c + a*c - 104. Suppose 2*r - 108 - c = -n, -5*n - r + 634 = 0. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b4 - 9?\nAnswer: -5c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -6844. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/10 + (-441467)\/(-35) + 56\/980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137134 (base 8) to base 5\nAnswer: -3024412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - z - 7 = 3*y, 4*z - 11 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = 5*t - 3*b, -4*t + 2*b = 3*b - 409. Let o = -90 + t. Let i(w) = -w + 6. What is the least common multiple of o and i(0)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45666 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4101026*k**3*x**3 + 37*k**3 - 43*k**2*x - 2*k*x**3 + 229*x wrt x.\nAnswer: -24606156*k**3*x - 12*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/5 + 279\/(-155).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362558 equal to 9537908\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17163c1 (base 14) to base 8.\nAnswer: 53227665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 56. Let v = 154 + l. Let d = v - 49.79. What is d rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60877 and 1?\nAnswer: 60877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:39 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2690 - -2679.524. Let n = -0.024 + m. Round n to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576737 is divided by 214.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvxg when four letters picked without replacement from {t: 1, g: 5, v: 5, w: 3, x: 5}.\nAnswer: 125\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79375 + 153*d + 79375.\nAnswer: 153*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -17, -12, -3 in descending order.\nAnswer: 4, 1, -3, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 20*g**2 - g - 15. Let m be n(-20). Suppose 3*l - 303 = -2*y - 22, -4*y - m*l = -567. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - r - 4. Let i(q) = -q**2 + q + 1. Let d(w) = -a(w) - 4*i(w). Find the second derivative of d(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-990))\/(517\/5170).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 19*m**2 + 22*m + 18. Suppose 69 = -45*a + 42*a - 3*p, a - 5*p - 7 = 0. Calculate g(a).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109519914 and 36?\nAnswer: 657119484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m - 4. Let q be o(-6). Let u(w) = -w**3 - 1. What is u(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*r - 1723 = -2, -3*k + r + 5123 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c\/(c*c**(1\/4))*c))\/(c\/(c*c**(-2\/15))*c**0) assuming c is positive.\nAnswer: c**(67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 - j**2 + 0*j**2 + 3*j**2 - 1 + 1 + (4*j - 2*j - 4*j)*(j - j + 2*j))*(-4 + 4 + 4*j) to b*j + q*j**2 + w + p*j**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33443*x**3 - 286277*x**2 wrt x?\nAnswer: -200658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u + 2874. Let g = -75 - 632. Let s = g - u. Round s to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 665448.03 to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from lmmmlm.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66389864*j**2 + 122268755*j wrt j.\nAnswer: 132779728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -5, 2, 3, -8, -37, -90, -173?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10263 and -0.2?\nAnswer: 10262.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = 4*w, 3*x = 6. Let a be 2 - -3*w\/(-3). Factor 37 - u**3 - 37 - a*u**2 - 2*u.\nAnswer: -u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by -204243?\nAnswer: 340\/204243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 5)\/(-3) + 1. Suppose 8*k - 4 = 7*k. Suppose -62 = -k*p - r*u, p + 4*u = u + 20. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -1e4d8a6?\nAnswer: 1e4d8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10*((-960)\/270)\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3574, 7, 3, -3 in decreasing order.\nAnswer: 7, 4, 3, -3, -4, -3574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 5208?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281286 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 46. Let h(o) = -2*o**2 + 4*o. Let q(b) = -2*b**2 + 5*b. Let f be (-1 + 0)*(4 + 0). Let y(d) = a*h(d) + f*q(d). Let m(g) = 2*g. Determine y(m(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123624.\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(0 - 1) - -6. Suppose -5*s - 5*g = 0, -3*g - 10 + 2 = -v*s. Let x be (-2)\/8 + 143\/44. Solve x*r + 8 = -s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let s be (-4)\/10 + (-10)\/(-400)*-4. Which is the nearest to 0.2? (a) s (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, -534 in decreasing order.\nAnswer: 1, 0, -5, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -74661 to the nearest 100.\nAnswer: -74700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v)*(1 + 1 + 1)*(0*v**2 + 0*v**2 + v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4474362 is divided by 894871.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a8042 + 0?\nAnswer: -4a8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2. Let v(p) = 5*p**2 + 62. Give v(m(q)).\nAnswer: 5*q**4 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**4\/4 - 201*w**3\/4 - 12957*w**2\/2 - 16959*w - 8442 = 0 for w.\nAnswer: -42, -2, -2\/3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:32 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (117 + 44*d - 24*d - 19*d)*(93*d**2 + 48*d**2 + 56*d**2 - 40*d**2 - 13*d**2) in the form q*d**2 + z*d**3 + i + f*d and give z.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 422*k + 5907. Determine f(-15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*c + 53, -b + 41 = -5*c - 52. Let x = -659\/9 + b. Are 5 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4076*g**2 - 5 + 2108830*g + 7 - 2108830*g.\nAnswer: 4076*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4112 = -4*i + 16244, n = 5*i - 15156. Is 1\/6*-2 - i\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l - 1. Let n(a) = -a**2 + 2*a + 32. Let j(r) = 2*g(r) + n(r). Let o(q) be the first derivative of j(q). Let b(h) = 31*h. What is o(b(p))?\nAnswer: 62*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 6658*z**4 - 3 - 2 + 2*z + 4 - 6651*z**4 + 3*z**3 - 2*z**3 to the form b*z**4 + d*z + n*z**2 + m + f*z**3 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44312, -88617, -132922, -177227, -221532?\n\"Answer: -44305*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*g + 3*g + 4*g**4 + 4*g wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*r = -17, 23 = 4*p - 0*p + 3*r. Let h(s) = 2 - 2 - p*s**2. Let x(f) be the first derivative of f**2\/2 + 1. Calculate h(x(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60918 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l**3 + l**2 + 357*l - 707. What is r(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3355770 divided by -30507\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21\/9)\/((22\/5)\/22)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 59*c - 38470 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.1 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818847?\nAnswer: 3, 499, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (394\/20 - 20)\/((-28)\/100 + 1)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 times 199.6?\nAnswer: 64071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z - 24. Let y(x) = -x**2 + 10*x - 7. Give y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/18)\/((-6)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + m. Let l be h(-1). Let g be (-806 + (-30)\/(-5))*-55*3. Suppose l*f - 2*f = g. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 12864765?\nAnswer: -29\/12864765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*r = 2*w + 20, -5*r - 20 = 0. What are the prime factors of (w\/6)\/((-4)\/(-138))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(832) + -1) - ((sqrt(104) - -1*(-2*sqrt(104) + sqrt(104) + sqrt(104)))\/(sqrt(48)\/(sqrt(24)\/sqrt(4)) + sqrt(8)))**2.\nAnswer: 7\/4 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, -2\/5, 19, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43729617?\nAnswer: 3, 14576539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -741\/2144 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*34*585\/(21411\/(-183)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdex when four letters picked without replacement from odeddeededoexzexdeed?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-1)\/18). Suppose -4*z + 0*z + 7 = -3*o, -2*o = z + h. Let g(j) be the first derivative of j**4\/4 + j**3\/3 - j + 1. Determine g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*i - 5, 5*i + 10 = b - 2*b. Let h = 20 - 14. Let k = b - h. What is the smallest common multiple of k and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 15 + 16 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/38 and -49\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 19 = -w + 38, -2*x - w + 39 = -0*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/896)\/((6\/(-64))\/(1*21\/(-6))).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let i(c) = c - 4*c + c + r*c. Let n(k) = -2*k - 1 + 1. What is n(i(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/7 - 6\/(-21). Let b be 8\/(-3) - 2\/(-3). Which is bigger: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**7\/84 + d**6\/60 - d**5\/10 - d**4\/6 + 32*d + 134. Let m(z) be the first derivative of r(z). Suppose m(p) = 0. Calculate p.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let x be 21\/35*(-2)\/p. Let a = 5 + 0. What is the closest to x in 4, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148099980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*p + 4*p. Suppose -6*h + 17*h = 33. Suppose -h*b + 39 = -2*l - 8, 3*b = -3*l + p. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2)\/sqrt(6) + (-5 + 2*sqrt(11))**2.\nAnswer: -22*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -18*s**2 - 358*s + 46. Determine k(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (747\/9)\/(1 + 0). Let w = -82 + q. Suppose -5*f + 2*f = 6. Which is the third biggest value? (a) f (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 + 1 - 4) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1015165?\nAnswer: 1015162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044 = -111*p + 621. Solve -9*s = -4*s - p, 4 = 4*t + 4*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 409971988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -2, 0.5, -11615, -2.9 in increasing order.\nAnswer: -11615, -2.9, -2, -1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 4. Let p(m) = m**2 + 4 - n*m - m + 0*m. Let v(o) = o + 12. Let c be v(-7). What is p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 28 = 3*v - 19, -40 = -m - v - 43 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**5 + 40*r**4 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1316.08 to 1 dp.\nAnswer: -1316.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 11177*g - 22350.\nAnswer: -(g - 11175)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -0.0459082225?\nAnswer: 0.1259082225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300712?\nAnswer: 2, 37589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*b - d - 3 = 0, 0 = b + 2*d. Suppose 0 = 2*o - 4*w + 4, 4*o = -5*w + 2*w - 19. Sort -5, b, o, 5 in increasing order.\nAnswer: -5, o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*y - 6 - 21 = 0, 4*d + 5*y + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30421 and 28323.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 10. Let k be q(5). Let a = k + 229. Suppose -a = -6*y + 950. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from {y: 1, j: 2, k: 1, b: 3, u: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20\/(-25)*(-1365)\/78?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 45*v - 104. Determine q(9).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -302, 5, -62, -0.2, -40 in increasing order.\nAnswer: -302, -62, -40, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 58 = i, -5*i + 282 = -12*t + 13*t. Calculate the remainder when 198 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 121. Let s be d(-20). Let k be (10 - (6 - s))*2\/2. Solve -k = -5*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(3888) + -5 + 1 + 1))**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -2\/24875, 1, -0.5, -1\/4?\nAnswer: -2\/24875","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 8. Let r = -187 - m. Let j = r - -86.0181. What is j rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 13*x + 14. Let q(n) = -13*n**2 + 53*n - 59. Let h(s) = -9*g(s) - 2*q(s). Determine h(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -18*m + 5*n, 8 - 3 + 5 = -5*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times -1.7408848?\nAnswer: 2.26315024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/(-9) - (1 - -2)*-74. Suppose k*h + 24939 = 233*h. List the prime factors of h.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142933 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -774000, -774004, -774010, -774018, -774028?\n\"Answer: -f**2 - f - 773998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-53)\/(-2))\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j + 10. Let z = j - -9. Suppose 0*b + 2*c + 45 = 5*b, 3*c - 15 = 0. Calculate the remainder when b is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.4 times 5?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11025 plus 1248982?\nAnswer: 1237957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27.17612ml?\nAnswer: 0.02717612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*v = -2128, -580 = -2*n - 4*v + 276. Suppose s - n = -s. Let l = -145 + s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1531577, -3063161, -4594767, -6126407, -7658093, -9189837?\nAnswer: -10721651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/11 - 128*l**3\/11 - 2628*l**2\/11 - 10368*l\/11 + 13122\/11 = 0 for l.\nAnswer: -9, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 38*z + 18*z - 34 = -18*z, -3*o = 2*z - 9*z - 119 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (15072\/(-312) - -3) + 20\/65\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22 - 213 = 0. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 4990, 11324, 20202, 31630?\nAnswer: 45614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -20*o + 15*o. Suppose -9 = -7*u + o. Calculate the remainder when 9\/((7 - 6)\/(u + 1)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 11*f**2 + 2*f - 8. Let m be b(11). Let a be (4 - 2)*m\/(-4). Let s = -7 - a. Solve 0*v - v = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 26*v**2. Let j(d) be the second derivative of -1\/3*d**3 + 0*d**2 + 2*d + 0. Calculate j(u(y)).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2934 divided by -326\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(112) + (sqrt(112) - (-1 + sqrt(112))))**2*-3 + (sqrt(567) + (sqrt(567) + -1)*-2 + -2)**2.\nAnswer: 96*sqrt(7) + 1923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752344 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*k - 128*k = -29*k + 275*k + 165240 for k.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 6 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, n: 2, c: 2, l: 2, h: 1}. What is prob of sequence ctnh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.912? (a) -10 (b) -2 (c) -11\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -46. Suppose v = -i + 3*i. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(5\/(-30)) + 120. Suppose -v + 686 = 4*w + 143, 2*w + 2*v = 264. Let b = w - p. Calculate the greatest common divisor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2064\/(-1290)*15\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6778170\/(-2905))\/53 - -44.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 290, 482?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x - 211. Let a be w(-23). Put -12, a, 2, 5 in descending order.\nAnswer: 5, 2, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*g - 92*g + 154*g + 42 + 6*g**2 + 2*g**3 to the form o*g**3 + b*g + p*g**2 + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 92. Let q be ((-40)\/r - (-12)\/(-42))*1920. What is the greatest common divisor of 40 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 4, -10, 883 in decreasing order.\nAnswer: 883, 32, 4, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -53*o**2 - 4 + 52*o**2 + 0*o - 4*o. Suppose -2*c + 0*c = 0. Let i = c + -3. Let a(u) = -u**2 - 3*u - 3. What is i*w(l) + 4*a(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*2\/((-2)\/(-3)). Let f = j + -7. Suppose -f*v + v + 9 = 0. What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617558 is divided by 872504.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:16 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:37 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 8*u + 1554. Calculate s(-41).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -434*n**2 + 1116*n - 70. Find the first derivative of j(c) wrt c.\nAnswer: -868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/10*(-2)\/(1*-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-4 + 36\/10). Suppose d = -2*d + 15. Let q be a\/d + 4\/10. Is -1\/5 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 62*r - 112 = 110*r. What is the third smallest value in 2, 0, -14, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4118)\/(-213))\/((-2)\/75). Suppose -3*m + 10 = -8. Find the common denominator of -65\/77 and 0 - m\/8 - y\/60.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -330*k + 2576. Calculate m(-4).\nAnswer: 3896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*5\/990*(-465)\/2356*-19\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 195?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (30 + -34 + 37)) + -38.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/2*24\/60. Let y be (-2 - -3)*2\/k. Is 1\/((-6)\/471*y\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 16 = -4*c, -4*u + 10 = -2*c - 2*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 6ad5a?\nAnswer: -6ad52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201210 + 1202002?\nAnswer: -222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*h**5*v**2 - 8*h**5*v + 2*h*v**2 - 33*h*v + v**2 wrt h.\nAnswer: 940*h**3*v**2 - 160*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*u + 2*n**2 + 634*n*u**2 + 13*n wrt u.\nAnswer: n**2 + 1268*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - n**2 + 1. Let m = 10 - 7. Let p(u) = -5 + m*u**3 + 1 + 4*u**2 + 3*u**3. Give 4*h(r) + p(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**3 + 5*p**3 + 4 - 5*p**3 - 4*p**3 wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 57*z + 17*z**2 + 6 - 55*z - 1 - 14 in the form j*z + k + x*z**2 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 2*k + 190, 2 = -k. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820569 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 16) in base 2?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 31*x + 52. Determine p(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*p**3 - 17*p**2 - 47*p + 7418.\nAnswer: 66*p**2 - 34*p - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + u**2)*(220*u - 16 - 107*u - 122*u).\nAnswer: -9*u**3 - 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -431470.9674128 - 0.0325872. Let o = i + 431470.9530033. Let a = o + 0.047. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085522 rounded to seven decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 40 = -15*u. Suppose 3*c - w - 15 = 0, -2*c - w - 2*w + u = 0. Let q be ((-1)\/c)\/((-28)\/35). What is the third biggest value in -2, -4\/7, q, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47886, -47879, -47872, -47865, -47858?\nAnswer: -47851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422 - 12111*l + 58*l**4 + 38 + 12116*l - 11*l**3 - l**2 wrt l.\nAnswer: 696*l**2 - 66*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 3 - 3 + (-2*l + 3*l + l)*(-53*l + 16*l + 22*l).\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbttuubbbtubnbtbttub. What is prob of picking 2 t and 2 u?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-4 + sqrt(108))*5*3.\nAnswer: -69 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-8)*-5*(-676)\/195\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/30 + v**5\/10 + v**4\/3 - 4*v**3\/3 + 5*v. Solve a(m) = 0 for m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.40952501 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 - 60 = 0. Calculate the greatest common divisor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 22 = -w, -w = -4*c - 0 + 14. What is the second derivative of 3*u**3 + w*u**3 - u - 3*u**3 wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -13, 83*x + 511*t - 257*t - 250*t = 467 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 1329 = 5*u - 1231, -q - 99 = 5*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 888183 and 2.1?\nAnswer: 888180.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 11*y = -4. Let z(r) be the first derivative of 3*r**4\/4 + 2*r**3\/3 - r + 1. Let j be z(y). Solve 0 = -4*t - j - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4152 + 5001 = -t, -2*t - 6871 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11*g + 12*g = -13232, -3*g + 7950 = -3*k. Round k to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 5*b + 43, 0 = -3*u - 2*b - 15. Put 2, u, 3 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y + 89*y - 390 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 12:57 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezzzez. What is prob of sequence zeez?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 14) to base 11\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1340 (base 10) to base 5\nAnswer: -20330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -28074*h - 421105. What is v(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50555*b**4 - 1562*b**2 - 2*b + 2 wrt b?\nAnswer: 1213320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**5 + 2*y**5 - 2*y**5 + (0*y + 0*y - y)*(y - 3*y - y)*(3*y - 3*y - y**3).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -38.5, 0.03, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 372*y + 3816. What are the prime factors of v(28)?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 - 2*k**3 - 3*k + 1498 - 759 - 745 - 3*k. Let h(n) = 2*n**3 + 3*n**2 + 5*n + 5. Give -4*h(z) - 3*o(z).\nAnswer: -2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, f: 1, p: 2, w: 2, c: 2, i: 1}. What is prob of picking 1 p, 1 f, 1 w, and 1 c?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 361 = -81. Let n be ((-1)\/2)\/((-4)\/s). Let x be -2 - n - 1 - 80\/(-5). What is the greatest common divisor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 - (2 - 716\/24). Let f be o\/2*(-7 - (-64)\/8). Which is smaller: f or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*o = -1266, -5*o = 404*d - 409*d + 1270. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 10*n**2 - 47*n - 131. What is l(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 14*t = 5*k + 43, -2*t - 8*k - 48 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, -1\/16, 0.14, 0.007, 2?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25+287122147.628\nAnswer: 287122172.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.09 - 0.09. Let h = 1.6 - -0.4. Let s = h + -1.9. Sort -0.3, s, q in increasing order.\nAnswer: -0.3, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4392426 is divided by 611?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.89397 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31251994 or -31251991?\nAnswer: -31251994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let j(d) = 6*d - 39. Let n(m) = -j(m) - 3*w(m). Let b be n(6). What is the remainder when 61 is divided by 27\/1 - 90\/b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24780, -34210, -43642, -53076, -62512, -71950?\nAnswer: -81390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 - 17*b. Let y(w) = 9*w**2 - w. Determine x(y(r)).\nAnswer: -81*r**4 + 18*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/50)\/(8\/(-68) + (-176)\/(-340)). What is the nearest to v in 137\/3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 66 - (-2 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*h - 594*h + 1595*h + 2003*h.\nAnswer: 3381*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 622.8024 years in months?\nAnswer: 7473.6288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**3 + 3*l**2 - 5*l - 6. Let n be t(-3). Suppose 0*i - 359 = -5*o + 2*i, -3*o + n = 2*i. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 24\/(6 - 2))\/(-11). Which is the fourth smallest value? (a) u (b) -1\/3 (c) -1\/8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 23*w**2 + 429*w - 7. Let j be u(-10). Solve -4*p = 3*y - 23, 8 = y - j*p + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4206*z + 23206*z + 5999*z + (-2*z - 2*z + 3*z)*(7 - 3 - 2) as i*z + q and give i.\nAnswer: 33409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24222 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 732*f - 238*f - 4 - 1 to o + z*f and give z.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240860520 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*116.2\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 110*z**2 + 480*z - 1440.\nAnswer: 5*(z - 2)*(z + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from pwwwwwwppp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*u = 235*u + 3*w + 43, 20 = u - w for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/162 and 23\/17631.\nAnswer: 105786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-61864\nAnswer: -61864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - -2 - (-42 - -50) - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/39 (c) 17\/5 (d) 2\/21 (e) -5 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-12)\/576*6)\/(6\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -60*w - 726. Give t(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*a + 49*a + 31*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 68*v - 71*v - 7, 2*k = -2*v - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 8 + 24. Suppose -3*f + 33 = o*z, -2*f - 3*z - 33 = -5*f. Which is the second smallest value? (a) -2\/7 (b) f (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -270. Let q = -2171\/4334 - -2\/2167. Which is the biggest value? (a) -0.4 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3902*j**4*y + 866*j**3*y - 423*j**2*y - j**2 + 43*j*y - 2*j - 2*y + 4 wrt j?\nAnswer: -93648*j*y + 5196*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, h: 8, l: 3}. What is prob of sequence ull?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.57 + 0.75. Let t = k - 0.18. Let f be 1 - ((-18)\/(-15) - 4\/10). Sort f, t, 0.\nAnswer: t, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z**2 + 6*z**2 - 34*z**2)*(-2*z**3 + 4*z - 4*z) + (-3 + 3 + 2)*(3*z**5 - 5*z**5 + z**5).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 30, 3, 12, -10.\nAnswer: -10, 1, 3, 4, 12, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*t + 15 = 0, a - 2*a = -4*t - 3. Suppose -32 = a*b - 7*b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunuuusnhuunzusuuuu. Give prob of sequence nh.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2143017487.\nAnswer: 13, 164847499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 17*v - 115. Let u(d) = -2*d**2 + 5*d + 2. Let i be u(5). Let a be s(i). What is the greatest common factor of 575 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140495992431\/4795 + 29300520. Let f = -2\/959 + o. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6358.899 + -6160.89395. Let f = 198 - h. What is f rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855883060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7695.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -3*s**5\/5 + 3*s**4\/4 + 3*s**3\/2 - 9*s**2\/2 - 14*s. Let k(t) = 3*t**3 - 2*t**2 - 2*t + 2. Give 2*i(d) + 9*k(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/665, 0.1, -0.09, -4.\nAnswer: -4, -0.09, 3\/665, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 8. Let s = o + 8. Let r(y) = 2*y. Let b be r(2). Solve x = -b*m + 21, -13 = -4*x - x + s*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*x + 52, t + x + 2*x - 42 = 0. What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 2. Let t be i(5). Suppose -2*m + 45 = 5*b, -4*m = -2*b + 6*b - 48. Calculate the remainder when b is divided by 27\/6*12\/t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 0.5, -81, 17, -5, -0.5, 3 in decreasing order.\nAnswer: 79, 17, 3, 0.5, -0.5, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 354.1 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241301 + -4?\nAnswer: 241242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1090224 and 3417?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 311394 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44243076*g**5 + 4*g**2 + 2503544*g.\nAnswer: 2654584560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 655004, 1310108, 1965212?\nAnswer: 2620316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 252*z**3 + 1136*z**2 - 1392*z.\nAnswer: 4*z*(z - 1)*(z + 6)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let h(t) = 4*t**2 - 3. Let j = -165 - -105. Let g be j\/(-6)*(-12)\/20. Let k(z) = -3*z**2 + 2. Let w(o) = g*k(o) - 4*h(o). What is w(q(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Let s(z) = 0 - 14*z + p. Is 13 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 + 27*h**2 + 42 - 4963201*h - 42 + 2*h**3 + 4963558*h.\nAnswer: 2*h**3 + 357*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**4\/4 - v**3\/3 + 19*v**2. Calculate a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42877 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53595044 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-12) + 61\/(-6). What is the units digit of (-4 + 3)*(i + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 6) + (-13 - -6) + 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 35*t**2 + 30*t - 5 = 0.\nAnswer: -1, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7689 - -8589. Calculate the least common multiple of 450 and m.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198610*q**5 + 4*q**2 + 63*q + 7?\nAnswer: 11916600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -69.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j + 2628 + 5*j + 7*j - 2627 in the form h*j + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 88719, 88731, 88743, 88755?\n\"Answer: 12*o + 88707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p + 2*p**2 + 2*p - 6*p. Suppose -11*k + 2088 = k. Let i(c) = -k*c + 763*c - 192*c - 188*c - 186*c. Determine i(x(v)).\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108651 divided by -4.\nAnswer: 108651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-733 - 3*m - 1184 + 1528)*(0*m**4 - 3*m**4 - m**4) + (m**2 + m**2 - 4*m**2)*(2*m**3 - 2*m**3 + m**3).\nAnswer: 10*m**5 + 1556*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = -2*v, -2*v = -4*d + 42. Is 14 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/30 + x**3\/3 - 15*x - 150. Let n(o) be the third derivative of h(o). Let a(y) = -2*y. Determine a(n(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1267a5a - -5?\nAnswer: 1267a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 130*n = -67*n. Put 11, 5, -5, n, -3 in descending order.\nAnswer: 11, 5, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (sqrt(243) + (sqrt(243) + sqrt(243) + -4 + sqrt(243))**2 - sqrt(243)) + -1 + -4.\nAnswer: -216*sqrt(3) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 6. Let d = 9 - c. Let r = 2 - 1.6. What is the closest to d in -4, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d + 19. Calculate s(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59432295?\nAnswer: 3, 5, 13, 304781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 485 divide 192427300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 + -3.8. Let q = 1.4 - -8.6. Let n = 5 - q. Which is the smallest value? (a) -0.4 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 - 73272696*w - 447407331592368 = 0. What is w?\nAnswer: -12212116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(180))**2 + 0 + (sqrt(500) + 6*(sqrt(500) + 0 + sqrt(500)) + 1)**2.\nAnswer: 224*sqrt(5) + 86122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*w - 12, g + w - 14 = -4*g. Suppose -g*q - m = -64, q - m - 25 = -5*m. Let o = q + -23. What is the smallest common multiple of 2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(1 + 1) - 3. Let c(q) = 2*q + 3. Let i be c(3). Let d = i + l. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -57\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166850660.\nAnswer: 2, 5, 109, 76537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101000001011110 (base 2) in base 7?\nAnswer: 506023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, l: 1}. Give prob of picking 3 s.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -5.1. Let j = -5 + y. Let v = j + 2. Which is the second biggest value? (a) v (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.27 + -3.67. What is the closest to -1 in -2, l, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (5 + sqrt(684) + 5 + 1*sqrt(684) + sqrt(684) + -4)**2).\nAnswer: -12378 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 4*g**2 + 4*g + 3. Let h be v(5). What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 40 = -5*n - 2*q, n - 12 = -q. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.4. Let f = -0.18 - -0.08. Is v at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 8*s**2 - 8*s - 12. Let i = 61 - 68. Let p be d(i). Let c be -2*p\/(-10) - 4. What is the closest to 0 in c, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*r + 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*s + 3 - 1, 0 = -4*t - s + 3. Let y be 3 - t - 8\/1. Let a(g) = g**2 + 6*g + 4. Does 2 divide a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 7. Let w be l(-3). Let f be (-8)\/(-2)*(-2)\/w. Suppose -f*x = 7 - 59. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317 + -315. Suppose 0 = -13*x + 17*x - 5*p + 8, 2*p = 2*x + o. Let y(z) = z**2. Let t be y(-2). Solve -t*u = c + 8 - x, -3*u + c = -5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j, 49*h = 46*h - 4*j - 11. Let i(b) be the first derivative of 16\/3*b**h + 0*b**2 - 31 + 22*b. Find the first derivative of i(a) wrt a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -37*d**5\/120 - 5*d**4\/24 + d**3\/2 - 3*d. Let n(g) be the second derivative of o(g). Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -988, -987, -986, -985, -984?\n\"Answer: m - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25133.\nAnswer: 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q**(-2\/5)\/q)))\/(q\/(q**3\/q))*(q**(2\/13)*q)**12 assuming q is positive.\nAnswer: q**(809\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25421*p - 2148*p - 10917*p - 1296*p)*(2*p - 4 + 4).\nAnswer: 22120*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -31. Let i = v - -38. Suppose i*t - 19*t - 1416 = 0. What is the remainder when t is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24436 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2731 - 2473. Calculate the remainder when d is divided by 5\/(3\/12 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28716 = -9*y + 28617 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 266 - 109. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41615 (base 9) in base 12?\nAnswer: 13a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2265?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -6.7. Let q = -0.1 - a. What is the smallest value in -3, -2\/7, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711*j**2 + 863*j**2 + 852*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 9. Let c be b(9). Suppose v = 5*n + 33, 2*v + 5*n - 141 = -c*n. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) - sqrt(28)\/sqrt(4)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:59 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:03 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(0 - (-7 + 2)). Suppose 3*c + 5 - o = 0. Solve 5*r - c = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -61074?\nAnswer: 61070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735471 is divided by 2292.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5978971 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106579.9 years in centuries?\nAnswer: 1065.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**2 + 0 + g**3 - 3 - 1 - 6 - 12*g. Let m be i(13). Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21614 + -21624.111. Round i to one decimal place.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*o**2 + 2429*b - 5*o**4 - 30*o**3 with respect to o.\nAnswer: 4*b*o - 20*o**3 - 90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21916 divided by -28\nAnswer: -5479\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16026 to 3 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z**2. What is the smallest common multiple of d(1) and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/4)\/((-9)\/(-12)). Let g(v) = -v**3 + 10*v**2 + 13*v - 19. Let b be g(t). Suppose 4*d + 4*y - 208 = 0, -d - b*y - 201 = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1508\/30)\/13)\/(-4) - 9\/45.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2 + 217*z - 479. What is y(41)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/6 + 2)*0. Suppose v + 2*n - 664 = h, 4*n = -8*v + 13*v - 3390. List the prime factors of v.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309826415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1072750 and 18451300.\nAnswer: 92256500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = -3*z, -4*l - 20 = -3*z + z. Solve 0 = z*x - 4*r + 12, 2*r + 29 = 2*x + 7*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14922703 to the power of 1\/2, to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 3*b + 5*b)*(-2 + 2*b + 2) + 5*b + b**2 - 5*b + (-3*b + 5*b - b)*(-b + 3*b - b) in the form y*b + f*b**2 + p and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {z: 3, o: 2, s: 9, a: 2, d: 1}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*a + 48 = 0, -2*h = -49*a + 53*a + 16. Solve 4*u = k - h, 3*k + u - 13 = 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227842 + -227842. Suppose 3*u - 239 = -77. Solve w = 4*b + u - 70 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 1:24 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1700.4 - 1700. Put 4, 1, f, 0.1 in descending order.\nAnswer: 4, 1, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-182)*10)\/(594\/4158*2\/(-2)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**2 + 1050*u + 7. Give c(-105).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = 57*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -16. Put r, -4, -3 in ascending order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/27)\/z)**(1\/36) assuming z is positive.\nAnswer: z**(-29\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) 1\/33 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or -113\/14?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o**3 + 5*o**2 + 2*o + 2. Is t(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:43 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - ((112 - 76) + -23 + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*i = -2*i + 1515208, 5*i - 378814 = -b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-22 - -39)) + (6 - -141).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -4 (c) -87 (d) 5\/2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 9 = 4*w. Let l(f) = -2*f**3 - 2*f - 1. Let q = 8 - 11. Let b be (-1)\/q*(0 - -6). Let h(s) = 2*s**3 + 3*s + 2. What is b*h(g) + w*l(g)?\nAnswer: -2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 - 11*v - 6. Let s = 86 - 80. Calculate the smallest common multiple of x(-5) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/9306*11*1\/2.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 59*b**2 + 84*b - 19. Give k(21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5\/7 + 543*h**4\/7 + 29952*h**3\/7 + 456300*h**2\/7.\nAnswer: 3*h**2*(h + 25)*(h + 78)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Suppose 0*i + 3*i = -k*u - 29, 5*i = 5. Let d = u + 27. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*w + 2*h, -4*w + 3*h + 11 + 5 = 0. Solve 2 = -3*p - v, w*v - 4 = -2*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 60 - 48 = 0. Solve 10*l = c*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -6.01. Let j = c - -0.006. Round j to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 + 114*w**2 - 134208*w\/11 + 3331584\/11.\nAnswer: 2*(w - 48)**2*(w + 723)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/19*76\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/2400*-16*4\/8*2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 30*w + 9. Does 4 divide h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f**(-2\/5)\/f)\/f))*f**(-5)*((f*f\/f**(2\/7))\/f)\/(f*f**(-1\/4)) assuming f is positive.\nAnswer: f**(-1041\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76000 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(180)*-1)\/sqrt(5))\/(sqrt(108)*6 + sqrt(84)\/(2*sqrt(7))).\nAnswer: 6*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z = 7 - 10 + 3. Let b be 2\/3 + (-20)\/(-6). Differentiate b + 27 + 4*v + z*v + 1 with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513777 (base 8) to base 12.\nAnswer: -82453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:45 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21295 and 137719024.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 3 - 3 - 10 + 1338*w**2 + 5 to i*w**2 + n + s*w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1075 and 3650.\nAnswer: 156950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 37193982*q**2 - 2. Let g(u) = 2*u. What is r(g(p))?\nAnswer: 148775928*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - i = -6*m + 5045, -i + 7555 = 3*m. What is the common denominator of (-4 - (-31)\/7) + (-5945)\/m and -109\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x - 2360. Let f be j(-150). What is the highest common divisor of f and 48000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (392\/48)\/(6\/36) + 33\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**5\/20 + 7*q**4\/12 + 4*q**3\/3 + 3*q**2 - 2*q + 1. Let m(h) be the first derivative of y(h). Is m(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89657980.\nAnswer: 2, 5, 41, 53, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-21))**(7\/5)\/(k*k**(-1\/8)\/k)**49 assuming k is positive.\nAnswer: k**(-931\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.043 - -14.16. Let v = -0.87554 - j. What is v rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22517373847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*7)\/(360\/(-36))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**9\/75600 + u**8\/16800 + u**7\/12600 - u**4\/12 - 2*u**2. Let b(n) be the second derivative of i(n). Factor b(y).\nAnswer: y**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-408)\/18)\/(5\/(-3) + 2). Let j be a\/3*(-24)\/(-16). Let n be (0 - j\/(-3))*3000. Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -21*c + 19*c - 3*r, -2*c = -4*r + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0038 in -5\/3, -0.65, -0.4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u).\nAnswer: 2*u*(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 8*k**5 + 3*k**4 + (4*k**4 + k**4 - 3*k**4)*((-1 + 2*k + 1)*(3 + 2 - 6) - 3 - k + 3).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5662, -5670, -5680, -5692, -5706, -5722?\nAnswer: -5740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r + 4*p, -5*p - 4 = -4*p. Let q(h) = 6*h**2 + h + r*h**3 - 8 - h**3 + 1. Let n be q(-5). Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -70. Let g be l*((-2 - (1 - -3)) + 4). Let x = g + 255. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 417 = 27. Let t be (-8)\/60 + (-3782)\/(-465). Calculate the highest common factor of z and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3563 - 3?\nAnswer: -3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.328*195.73.\nAnswer: 64.19944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4227 - 4222 + 0*f**3 + 2*f**3 + 20*f + 7*f**2. Let w(k) = -k**2 + k - 1. Determine v(u) + 5*w(u).\nAnswer: 2*u**3 + 2*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -48. Suppose -4*y + 3*p = -p + 60, 0 = 4*y + 4*p + 60. Let r = y - -7. What is the smallest value in 0, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-35)\/14*4\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.21. Which is the second biggest value? (a) 0.2 (b) 2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = w - 511. Let f = -117 + w. Let v = f + 47. Solve -2*r - v = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i + 4. Let y(l) = -1. Give -k(h) - 3*y(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 - 2*r**4 + r**4)*(1236 - 92 + 688).\nAnswer: -1832*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6545 * 14038\nAnswer: -91878710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290568 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*m - 7094*k - 199690*m wrt k.\nAnswer: 2*m - 7094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 4*y + 6. Let w be h(-4). Suppose w = 2*x - 22. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: acc (base 14) to base 15\nAnswer: 97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5)*p*p)**(-3))**48 assuming p is positive.\nAnswer: p**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 3*k = 37, 0 = -2*k - 2. Suppose -2*w = 2*u - 7*u - 42, w = 5*u + 26. Calculate the remainder when w is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h - 11878 - 11876 + 23757.\nAnswer: 15*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o - 4*q, 2*o + 17*q - 16*q - 5 = 0. Solve -2*c = -f + 10, 0 = -5*c - o*c - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 17 - 4. Suppose -k = -4*o + 1. Suppose 0 = -21*n + 8*n + 65. Sort 0, o, -1, n in ascending order.\nAnswer: -1, 0, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*1*(-16)\/64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by -16*(-3 + 0)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-119)\/51 - (-2)\/(-3). Let d be x\/3 + -3*(2 + 5). Let s(w) = -6*w - 34. Is 49 a factor of s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 38 - 1 = -j, -4*m + 44 = 4*j. Let h be ((-16)\/m)\/((-4)\/3). Let o = 5 - 7. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2608 and 20?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -3, -4.\nAnswer: -4, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa + -91133?\nAnswer: -91056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1070)\/(-40) + 15\/12. Suppose b - 4*b + 0*b = 0. What is the closest to f in b, 0.5, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:44 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**5\/20 + l**4\/3 + l**3 + 17*l**2\/2 - 644*l - 1. Determine k(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 2*z**2 + z - 1. Let g be -13 - -22 - (-2 + (-24)\/(-3)). Let j be (7 - (8\/4 + g))\/1. Calculate u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 459*u + 108. Calculate y(-1).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 893000 rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -43. Suppose -5*p = -2*l - l - 60, -l - z = -5*p. Let c = 14 - p. Solve f - k = 2*f - c, -4*k + 20 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 676040727 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 224*v - 120. What is b(54)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (68 + (-8 - 20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.17 (b) 3\/2 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4 - 3 - 1)*(-94*z**3 + 94*z**3 - 63*z**4).\nAnswer: 126*z**5 + 504*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(3*v**4 + v**5 - 3*v**4) + 5*v**5 - 2*v**5 - 5*v**5 + (-2*v**3 - 1 + 1)*(-2*v**2 + 2*v**2 + 2*v**2).\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 155?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/18*6*-33. Let a be 3\/1*(-80)\/6. Let c = k - a. What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1)*(-3 + 1). Solve c - 16 = -r*v, -c - 2*v + 14 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122201 (base 3) to base 8.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**4 + 3*a**2 + 104 + 54*a - 72*a - 4*a**2 + 16*a as p*a**2 + g*a**3 + x*a**4 + o + y*a and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -1) + (-2 - (13 - (17 - 12))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -724.469193553 - 32.7?\nAnswer: -757.169193553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/20558 and 53\/190?\nAnswer: 102790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o + u + 15, -4*o = 4*u - 12. Let d(t) = t**2 + 11*t + 6. Let z be d(-10). What is the nearest to -1\/5 in -1, z, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 54*q = 180. Let l = -3.1 - -3. Which is the fourth smallest value? (a) q (b) l (c) 0 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*t**3 + 154*t**3 + t**3.\nAnswer: 351*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let o be -5*(-2)\/(-20)*-6. Solve o + 0 = -z*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407760307.\nAnswer: 23, 17728709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58655 is divided by 6353?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 401747, 401745, 401745, 401747, 401751, 401757?\n\"Answer: x**2 - 5*x + 401751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = 2. Find the first derivative of -f + l**2 - 3 + 1 + 2 wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 50796.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 110010111?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(2 + 3*j - 2) + (0*j - 4*j + 3*j)*(2 - 1 + 2).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/6 - 15*k + 1. Let l(m) = -m. Let p(c) = -2*c. Let r(o) = -6*l(o) + 5*p(o). Determine s(r(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 116930372 rounded to the nearest 1000000?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*n + 28200 = -87*n - 71*n - 111*n for n.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -16. Suppose 0 = -5*c + 22 + 28. Let z = 14 - c. Sort z, 0, o in ascending order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163 + 272042.\nAnswer: 272205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -19*v - 12. Calculate p(-7).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50758123 is divided by 1880.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 7 - 55 + 1385*a**2 + 101 to b*a**2 + m + y*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.244*1504.2\nAnswer: 367.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 + -112. Find the third derivative of 4*n + 0*n**4 - 42*n**2 + 11*n**5 - 3*n + 4*n**c - 29*n**2 - 7*n**4 wrt n.\nAnswer: 660*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -675, -1359, -2275, -3423, -4803, -6415?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045.2 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 26069*z + 73100*z + 156003*z + 149032*z - 20. Let w be i(5). Round w to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -559153 or 9?\nAnswer: -559153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xttffxfxfvfxfvfft. What is prob of sequence vtx?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1820553.\nAnswer: 910276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/6 + (-897)\/46 + 22.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 7140*a**3 + 2*a**2 - 7487*a - 1.\nAnswer: 20*a**3 - 42840*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 413?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:32 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21*c**3 - 2*c**2 - 4*c - 3. Calculate p(-2).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.559355 times -9.3?\nAnswer: -5.2020015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {j: 1, i: 1, x: 5, n: 1, y: 4, d: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4625)\/222 + -18 + 40)*1*4\/(-63)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5))**(12\/11)*(x*x**(-1\/6)*x*x)\/x**(-3))**(-27) assuming x is positive.\nAnswer: x**(-21861\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 1749 - 1813 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759682, 759883, 760082, 760279?\nAnswer: 760474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/20 + 5*m**4\/4 + m**3\/3 - 13*m**2\/2 + 3*m. What is the tens digit of c(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(10 + 9 - 6)*(2*t + t - t) - 3*t + 0*t + 0*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 - 7*x - 6. Let k be c(8). Solve -1 = w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*z**2 + 115*z**5 - 94*z**2 - 15*z**2 - 31*z**2 wrt z.\nAnswer: 6900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1112?\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508\/7 less than or equal to 1931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*i = 31*i + 35856. Is 36 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g + 4*f = 64, -4*g - 5*f = -44. What is the greatest common divisor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*b - 32 = 2*b, 4*f + 5*b - 1 = 0. Suppose -m - m - 22600016 = -f*q, -3*q + 12 = 0. What is m rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12524 (base 7) in base 4?\nAnswer: -310112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 68, 172, 326, 530, 784, 1088?\n\"Answer: 25*f**2 - 21*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 23*j - 100. Let t be i(23). Calculate the greatest common factor of 33 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -15*f - 154. Solve 0 = -3*u - n - 8, 3*u - 4*n = -6 - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7112 divided by -7.\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 40*s. Let u be s\/(8\/((-12)\/3)). Let j = -13 + 18. Solve j*m + z + 1 = 0, 4*m + 2*z = -u*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 219a - 82?\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*c = 7, -4*c + 8 = 2*x - 4*x. Suppose 0 = z + x*z - 15. Calculate the highest common divisor of z and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35242748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 + 3*c**2 - 11*c + 2. Let q be g(3). Let a be (-17)\/q + (-29)\/(-5). What is the remainder when 124 is divided by (36\/60 - a\/10) + 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1553 - 1553.1. Which is the closest to 0.1? (a) f (b) -2\/15 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/10 - (-70824)\/3120) + 0 + -7. Let o = -3 - -10. Let m = o + -4. What is the second smallest value in t, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*h + 336. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 829701\nAnswer: -4\/829701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 3 + -7 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 708, 2693, 5994, 10605, 16520, 23733, 32238, 42029?\n\"Answer: -x**3 + 664*x**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -5, 130836 in descending order.\nAnswer: 130836, 38, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 3, t: 5, l: 11}. What is prob of sequence tlj?\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3. Let g(u) = -u**2 + 12. Let a(d) = -g(d) + 4*v(d). Let h(c) = 4*c**2 + 3*c**2 + 0*c**2. What is h(a(r))?\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 10*r + 3 = 0. Let v(x) be the first derivative of -10\/3*x**r + 2 - 1\/2*x**4 - 8*x**2 - 8*x. Solve v(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 3*v)*(-3*v**2 + 3 - 3) - 1818*v**3 + 75*v + 5 + 911*v**3 - 2*v**2 + 908*v**3.\nAnswer: -5*v**3 - 2*v**2 + 75*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*c**2*r + 398*c**2 + 44604*r with respect to c.\nAnswer: -126*c*r + 796*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/108, -1, -13\/9, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**3 + 5*t**3 + t**2 - 3*t**3)*(9 + 9 - 9) as d*t**2 + f + o*t + l*t**3 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/23 + -128\/299. What is z in 38\/13*z**3 + 46\/13*z**4 - 60\/13*z**5 + 0 - 16\/13*z**2 - l*z = 0?\nAnswer: -1\/2, -2\/5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 73 - 8713 = 246*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 70 - 96 + 229 + 302*n.\nAnswer: 302*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 5*q - 39. Let x be c(-8). Which is smaller: 8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 49*k - 1. Let h(i) = -3*i**2 - 733*i + 15. Let p(r) = -15*b(r) - h(r). Let z(o) = -8*o**2. Determine z(p(m)).\nAnswer: -72*m**4 + 96*m**3 - 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1420.09 - -1420.09060629. Round h to 6 dps.\nAnswer: 0.000606","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/360*3*13\/(-234)*10\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2878694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.705 + -0.405. Sort p, -0.1, -1, -1\/4 in increasing order.\nAnswer: -1, -1\/4, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d (base 15) to base 6.\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148*h*t**3 + 52489*h + 635*t**3 + t + 15 with respect to t.\nAnswer: 444*h*t**2 + 1905*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 884\nAnswer: -1\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13289 - -14345. What is the lowest common multiple of n and 15?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 25. Let r = 25 - 17. Suppose j*u - 8 = r*u. Solve -4*l + 3 = -5*l + 2*i, -u*l = i - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. Suppose -q + 2 = -b. Let i = 7 - 5. Solve -i*r = 5*k, -2*k + q*r = 2*r + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let x = -3.86 - 0.14. Which is the second smallest value? (a) -1\/5 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-8)*(85\/(-15))\/(-17)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4515561 divided by -2133?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 3, -7, -8, 8 in decreasing order.\nAnswer: 8, 3, -7, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxnnyngqgyhygxnnxgn. What is prob of picking 1 g and 1 q?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*(-90)\/20. Suppose f*m = -2*r + 2*m + 423, -r = 5*m - 198. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -40. Suppose -3*d = -5*f + 99, 2*f - 17 = -5*d + 4. Let n = f + -13. Solve n*i - w = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let m(b) = 4 - 4 - 163*b**2 + 184*b**2. What is y(m(r))?\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 503371367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1363608273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {r: 1, b: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, -356, -1543, -3874, -7733, -13504?\n\"Answer: -64*g**3 + 4*g**2 + 9*g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -1. Let w = 9 + x. Let 10\/7*b + 2\/7*b**w - 4\/7*b**3 + 4\/7 = 0. Calculate b.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 13028*j**2\/5 - 24943064*j\/5 - 11545965744\/5.\nAnswer: -2*(j + 678)*(j + 2918)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2860*o**4 - o**2 + 3*o + 600 wrt o.\nAnswer: -68640*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 1, o: 1, v: 2}. Give prob of sequence vov.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 10*t - 7. Let p be i(-9). Let f = p + 1. Let l(c) be the first derivative of c**2\/2 - 2*c - 3. Give l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = 37*s - 19. Suppose 6*l + s + 11 = 0. Let x(y) = y**3 - y**2. Let z(u) = -2*u**3 + 8*u**2 - 4*u - 7. Let a(j) = 3*x(j) + z(j). Determine a(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1215*v - 8*v**2 + 1210*v + 4*v**2 to the form i + a*v**2 + l*v and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 4*m + 24, -2*s - 24 = 4*m. Let z be (-345)\/(-27) + 4\/18. Let v(o) = o + 1 + 0 - 4. Let i(c) = 2*c - 7. What is m*i(p) + z*v(p)?\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (-1)\/(-3)*-3. Suppose -18 + 25 = -o*l. Let a(q) = 5*q + 1. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k**2 - 4*k - 3. Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 21*k**2 - 22*k - 20. What is the lowest common multiple of b(-20) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 22*v**2 - 43*v - 60. Let u be g(-20). Solve 2*r - 18 = -5*a - u, 2*r + 22 = 5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280*l**3 + 327*l**3 - 129*l**3 + 2*l**3 + 0*l**2 + 2*l**3 + 0*l**2 + (0*l - 2*l + 3*l)*(5*l**2 + l**2 - 4*l**2).\nAnswer: 484*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -49. Suppose -x = -q - q. Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 1. Suppose z - 2*p + 4 = -p, -q*p = 2*z. Let g be ((z - 0) + 3)\/(-2). Which is the second smallest value? (a) 3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4565 and 5720.\nAnswer: 474760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -840722, -840746, -840770?\n\"Answer: -24*k - 840698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850470 is divided by 18691?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 366. Let t be 22\/(-165) + h\/15. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/12 - (-17)\/153*30. Determine p so that 2*p**2 + y*p**3 + 0 + 3\/2*p = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 13*q**3 - 2*q**3 + 2 + 2*q**2 + 5*q**3 in the form g*q + d*q**3 + p*q**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(825))\/(-1*sqrt(176))*-3.\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*c**2 + 27*c**2 + 12*c**2 + (0 + 0 + 2)*(-2 + 2 - c**2) - 28*c**2 - 4 + 32*c**2 + 6 + (2*c**2 + 2*c**2 - 3*c**2)*(0 - 1 + 3).\nAnswer: 12*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 - 7 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5 = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -39 + 48 + 42 + 49.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3233.4771 to the nearest 10.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -160 - 380. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + j + 2)*(1500 - 277 + 165) + 2 - 2 + j to w*j + t and give w.\nAnswer: 1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387066457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 11*u + 16. Calculate the least common multiple of j(2) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 148\/(-90) + 1\/5. Let o = q - -16\/9. What is g in 0*g**2 - 2\/3*g**3 + 0 + 0*g**4 + 1\/3*g**5 + o*g = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxhgrbx. Give prob of sequence bcxg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.1, -1\/6, 3.29, 3, 1\/15?\nAnswer: 3.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14397130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s + 5 + 0*s**2 - 8\/3*s**3 - 1\/2*s**4. What is the third derivative of g(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3112, -3508, -3904, -4300?\n\"Answer: -396*s - 2716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (100 - 100) + (2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -8*d - 5*o + 30, -3*d + 109 = 2*o + 90 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(85) - (sqrt(85) + sqrt(85)*1)*-1) + sqrt(85))*-3)\/(-2*sqrt(1620)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3854 is divided by 427?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 6\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:05 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**3 - 2*z**2 - 3*z - 35. Let f be r(-5). Suppose 0 = c + 5*u - f, c + 2*c + 4*u = 2845. List the prime factors of c.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73008 + -43652. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -13\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -571574118 and -3.\nAnswer: -571574121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.94. Let x = n - 0.26. Let v = -0.1 - x. Which is the closest to v? (a) 4 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 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: What is the fourth smallest value in -2\/15, 0, 187, -0.46?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = f - 26, 2*i + 8 = 2*f - 16. Let u = -39 - i. Let y = -3 - u. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-9))\/(8\/24). Put -0.05, 0, y in increasing order.\nAnswer: -0.05, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**3 + g - 1. Let f be l(1). Suppose -2*j + f = 2*v + 2, -4*j + 30 = -5*v. Solve -8 = 3*z + j*d + 7, 4*z + 20 = 5*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 43. Is h <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let b(h) be the third derivative of h**2 + 0*h + 1\/8*h**4 + 0 - 2\/3*h**3 - 1\/120*h**6 + 1\/30*h**5. Give b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7717664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65262935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 18*k + 2. Let a be z(-18). Let h be -2 + (-2740)\/8*a. Is 4\/(-16) + h\/(-12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**3\/3 + 13*q - 42. Give l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*x - 3*x. Suppose 7*r + 9 - 30 = 0. Let s(d) = 2*d. Let k(u) = 16*u - 31*u + 16*u. What is r*s(y) + x*k(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/6, 0, -6, -0.2, 360, -0.074?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let v(m) = -m**2 - 4*m + 1. What is the units digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6565, -6552, -6539, -6526, -6513?\n\"Answer: 13*t - 6578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 526 - 531. Let k(h) = 3*h. Let v(o) = -2*o. Let u(a) = -a**2 + 5*a + 2. Let p be u(6). Give p*k(i) + t*v(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*z + 2048 = 383 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60474 - 14675. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113 in -12, 15, 0.1, 2, 1\/14?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 10*t - 81. What is the smallest common multiple of t and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 19*s**2)*(-4 + s**3 + s**3 + 2).\nAnswer: -38*s**5 + 38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zooozozzokz. Give prob of sequence ok.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 3) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*l + 116, 4*m - 2*l - 593 + 169 = 0. Let w = 175 - m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4006 take away -0.31235?\nAnswer: -4005.68765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 - 108089*s + 231 - 283484*s - 7168*s.\nAnswer: -398741*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 6*l + 20. Give t(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10424 or 10963?\nAnswer: 10963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -12. Let m be 6\/27 - w\/9. Solve -j = 2*u + 2*j - 9, 0 = m*u + 4*j - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58134?\nAnswer: 2, 3, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + 6*k - 3. Let z = -2 - -6. Let c be j(z). What is c rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-7) - (-41)\/574. Factor -f*o**3 + 0 - 3\/2*o**4 - 5\/2*o**2 - 1\/2*o.\nAnswer: -o*(o + 1)**2*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -12.2. Let k = -0.2 - w. Which is the third smallest value? (a) -0.5 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d + 1 + 3*d + 19*d)*(-4 - 1 + 4).\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:19 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911866?\nAnswer: 2, 11, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(128))*-2 + -4 + 3.\nAnswer: -16*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032 = 5*m - 5*b + 56167, 2*m + 22057 = 3*b. Let g = 16293 + m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6327, 11343, 16359, 21375?\nAnswer: 26391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - 2*l**2 + 4*l + 1357. Let y(j) = -j**3 + j**2 - 3*j - 5. Determine v(b) + 2*y(b).\nAnswer: 3*b**3 - 2*b + 1347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/280 and 61\/1064.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.84 (c) 189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2\/8 + 13*f\/8 + 1\/4.\nAnswer: -(f - 1)*(15*f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 l, and 1 e when four letters picked without replacement from {l: 1, i: 3, e: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7939.896kg?\nAnswer: 7939896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-2\/3)*g*g)\/g))**(6\/19)\/(g**(-1))**35 assuming g is positive.\nAnswer: g**(669\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-52))\/(1*10\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - v = -16, -5*v - 5 = -5*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 - -143. Let r = x + 22. Let o be -1 + 2 + 2 + 0. Solve -2*i - 9 = o*l, 2*i + 4*l = -r*l - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*k + 4*h + 20 = 0, 0 = -2*k + 4*h - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 182. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356 and 376998482?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -399984300 divided by 3177?\nAnswer: -125900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3647145 milliseconds in nanoseconds?\nAnswer: 364714.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2200261 and 1803.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**3 + 2*x**2 + 2*x + 13. Let t(p) = 18*p**3 + 7*p**2 + 7*p + 39. Determine 7*f(y) - 2*t(y).\nAnswer: 6*y**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 447864581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/1421871 (b) -55 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -34*z - 27. Which is the nearest to -3? (a) 8 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 174*w = -543212. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 968*f. Let u(k) = 129*k. Determine x(u(v)).\nAnswer: 124872*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.212015863 + -7.212. What is r rounded to 7 decimal places?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7641, -7074, -6507?\n\"Answer: 567*t - 8208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = 1. Suppose -f = -45 - n. Suppose 3*z + z = 64. What is the remainder when f is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 353*c**5\/5 - 8*c**3\/3 - 32*c - 394. Find the third derivative of m(w) wrt w.\nAnswer: 8472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-51) + (-560)\/714.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.89. Let w = 0.01 - q. Is w >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1490 - -1494. Sort 9, 18, -2, p.\nAnswer: -2, p, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-392))\/(-6)*384\/576?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 20279.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -765?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -275. What is the least common multiple of s and 116?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 11 = 8*o. Solve -o*j + c - 16 = 0, -j - c = -1 + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**5\/4 + 585*j**4\/4 - 17455*j**3\/4 + 30915*j**2\/4 + 12240*j = 0.\nAnswer: -1, 0, 3, 51, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = -2*p - 11, -5*f - p = 18. Let i = 1 + 2. Is 4*(f\/4 + i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iixiiiixiiiiiix. What is prob of picking 2 i and 2 x?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 - 24*q**4 - 30*q**3 + 24*q**2 + 27*q = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 12 = -51. Let w(a) = -2*a**3 - 2*a**2 + a - 3. Give w(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107232 divided by -13404?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 14*b + 79175 = o, 15861 = b - 5*o. Suppose 0 = 19*l - 9339 - b. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.69 * 7298028.\nAnswer: 5035639.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(4) + 1*(sqrt(16)\/sqrt(4) - sqrt(4)) + 6*sqrt(16)\/sqrt(4))\/(1*sqrt(144)\/sqrt(8)).\nAnswer: 7*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78 + 26?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1403?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -250. Let a = 215 + y. Calculate the remainder when 163 is divided by a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-6 + (-3432)\/(-561). Let u be 22\/(-10) - 2\/(-10). Let t = 1.2 - 1. What is the smallest value in u, f, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + a = -167, -4*y = -2*y + a - 103. Let u = 84 - y. Let c(o) = 8*o - 4. Let h be c(3). Calculate the greatest common factor of u and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)*-1 - 4. Let g be 56\/20*((-15)\/(-2))\/3. Is g*47\/l*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*p**4\/5 + 582*p**3\/5 - 408*p**2\/5 - 3224*p\/5 + 384\/5 = 0. Calculate p.\nAnswer: -2, 2\/17, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22503.82 and 2.\nAnswer: -22501.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-24))\/(-11*(-36)\/4048)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-24)\/22)\/3)\/(-47 + 43). What is the closest to 16 in -2\/7, c, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 279*w - 277*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(-15)\/1650*(-7)\/(21\/18).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 54. Let u be b(-14). Solve -u = -12*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-340)\/(-6))\/((-27)\/(-6318)). Suppose 3*a - 423 - q = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtpztnpttzzopt. What is prob of picking 1 z and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076162 is divided by 358719.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3 + 2475684*p**2 + 14854023*p + 22280994 = 0.\nAnswer: -825222, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12043, -24088, -36133, -48178?\nAnswer: -60223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4)*-5*-4)\/(11\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 2 = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038522733 less than -12.2?\nAnswer: 1038522720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 11*o**2 - 19*o - 1. Let a be f(-9). Let u(x) = -4*x + 39. Let v be u(a). Solve -5*p + 2*g = -14, -2*g - 35 = -5*p - v*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -18. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.038 times -0.1992\nAnswer: -0.2067696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9181 = -18*i + 1043. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(-2 - 13). Let t(f) = -f**2 + 7*f - 3. What is the units digit of t(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8254.\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/11 + 17*o**2\/11 - 70*o\/11 = 0.\nAnswer: 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 53 + 167 + 209 - 109. Let a(r) = -2*r**2. What is y(a(d))?\nAnswer: -4*d**4 + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17270, -17311, -17352, -17393, -17434, -17475?\n\"Answer: -41*i - 17229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 7*c**2 + 0*c + 1\/225*c**5 + 1\/900*c**6 + 0 + 0*c**3 + 0*c**4. Factor o(x).\nAnswer: 2*x**2*(x + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + ((-3)\/2)\/(7\/14). Let h(q) = -51*q**2 - 38*q**2 - 67*q**t + 178*q**2. Let s(j) = 7*j. Give h(s(a)).\nAnswer: 1078*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*z + 25, 4*z - g + 23 = 1. Let r be z\/6 - 2\/(-6). Let x = 1.7 - -0.3. Which is the biggest value? (a) x (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 406 - 161. Suppose -243*t - 1444 = -v*t. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 5*b**2 + 5*b**2 + b**2 - 2*b**2 + 3*b**2 + (6 - 4 + 0)*(2*b**2 + 2*b - 2*b) - 1 - b**2 + 1 + 22 - 22 + 6*b**2 as a + m*b + n*b**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(88)\/(sqrt(128) - sqrt(8)) - sqrt(22)\/sqrt(2)*1)) - ((sqrt(1100) + 1 + -4)**2 - (sqrt(22)\/sqrt(2)*6 - -1*sqrt(1331))).\nAnswer: -1108 + 229*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 4128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7275.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13860 and 880341.\nAnswer: 52820460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 0.1, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 86.36513 nanometers?\nAnswer: 0.00008636513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -17. Suppose 3*q = q + 6. Suppose 0*a + q*a = r*g - 145, -55 = -g - 3*a. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5658068 greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 + 22 = -6*m + 13 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 51733?\nAnswer: -51740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -44.1. Let v = 9 - w. Let t = v + 3. Which is the nearest to 0? (a) t (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 19. Suppose 3*x + 0*x - k = 0, -4*x = -5*k + p. Which is smaller: 2\/21 or x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.231 - -0.2523. Let h = a + 0.2787. Sort 0.5, 0.4, h, 46 in descending order.\nAnswer: 46, 0.5, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -0.06, 12\/5, 12904?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Differentiate -1 + f*q**2 + q - q + 0 wrt q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (1 + 3 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpb when three letters picked without replacement from {b: 8, p: 8, g: 4}?\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3572 and 171?\nAnswer: 32148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 354880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 4*h + 2. Let j(d) = 4*d**2 + 11 - 13 - 3*d**2 - 8*d + 3*d. What is 2*j(k) + 3*w(k)?\nAnswer: -k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192787.\nAnswer: 7, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.26 + 15.1. Let x = -0.84 + i. What is the nearest to x in -3, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -21*o + 432. Give r(7).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25634177 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 30502 + 50670. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from xhcphxxxplplcp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3\/(-1 + 4)). Suppose p*f + 28 = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-7) - 12)\/(9\/(-6)). Is 500\/u*315\/70 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3184413750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -11.42?\nAnswer: -45.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 39\/4099?\nAnswer: 39\/4099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 12*z - t = -13*z - 6, -3*z - 1367 = 338*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52949923 or 52949922?\nAnswer: 52949923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-9)*6)\/(4\/258). Suppose d = 4*t + 27. Solve z - 4*z + 19 = -2*a, t*z = a + 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(342\/63 + -5 + 135\/126).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14985*0.2.\nAnswer: -2997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148124 by -1949.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Let c(o) be the third derivative of o**6\/360 - 5*o**3\/2 - 12*o**2. Let f(z) be the first derivative of c(z). Give k(f(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4, 3*i + 218 = 4*g - 25. Let d = 16 - 12. Suppose -d*j + g = j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.9, -13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33952514.\nAnswer: 2, 2053, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 + 0) - (-48)\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + -3 + (6 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -341664 equal to -341686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-38)\/95)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181*42\/828 - 27\/(-3) and -31\/1380?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(2*sqrt(75) + 2 + (sqrt(75) - (((-3*sqrt(75))**2*5 - sqrt(75)) + sqrt(75))))*-6*-4.\nAnswer: -1457136 + 6480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -34. Let d be 24\/k + (-46)\/11. Is 0 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 11*x**2 + 10*x + 6. Let a be c(-10). Let r(o) = o**2 - 8. Let k be r(0). Let n be (63\/(-12))\/(6\/k). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 take away 4935989311070?\nAnswer: -4935989311070.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 140\/(-44) - 104\/572?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1 (b) 5 (c) -0.2 (d) 0.037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57261 greater than or equal to 57263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75911 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 187*s - 152*s - 1.\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 120*k**2 + k - 35. Let v be y(60). Let p = 52 + -157\/3. Which is the third smallest value? (a) -0.5 (b) p (c) 1\/2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 13*r + 20. Suppose 4 = -5*t - 21, t - r = -5*m. Suppose 0 = 2*a - 5*i - 82 + 7, m*i = -5*a + 135. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000374538 rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 92475 = -92551 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 35.2. Let v = 10.958 - -0.082. Let h = v - 11. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-796 + t - 1021 + 1619).\nAnswer: t - 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + (7 - 7) + 0 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**3 + 11*h**2 + 6*h + 63. Let i be c(15). Suppose 2*g + 2902 = -73454. Let k = i + g. Round k to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a2aa - -5?\nAnswer: a2af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/73, 0.0738, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 55*q**2 - 12*q + 52. Determine f(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*n - 0*n, 4*k = -n. Factor -5*d**4 - d**5 - 10*d**2 + 18*d**2 + 18 - 33*d + 3*d**4 + k*d**4 + 10*d**3.\nAnswer: -(d - 2)*(d - 1)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148 (base 9) to base 10.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 234156.\nAnswer: 234156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5620\/7 + 803. Suppose 2*v = 3*p - 6, 5*v - 10 = -0*v - 5*p. Which is the nearest to v? (a) t (b) 0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*46 + 70800\/4425.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/9*6652\/(-109758)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -340\/733487 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -154*d + 128. Determine b(6).\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.03731 - 175.96853. Let v = x - -201. What is v rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-3*o - 2*o + 6*o) + 0*o + 2482*o**2 - 2488*o**2 + 6*o.\nAnswer: -8*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19014 and 258146740?\nAnswer: 6338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 12. Let s be f(-4). Solve 2*w - s = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -2*q - 3*q. Let m = q - -70. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -47\/56, -2\/7, -2, -10?\nAnswer: -47\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316 - 63. Let f = 252.99299 - k. Round f to four decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6678.889ml in litres?\nAnswer: 6.678889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 10*w**2 + 2*w - 20. Let a be y(10). Suppose s - 5*n - 10 - 20 = a, -3*s - n = -42. What is the greatest common factor of 6 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221745?\nAnswer: 3, 5, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.645 - -0.644997672. Round j to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(12) + (sqrt(18) + 3)**2 + 1.\nAnswer: 28 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-510)\/(-105))\/(-17) - (1 + 107\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2850 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 - 5 + 18*w**2 - 8 - 24 in the form u*w**2 + o + l*w and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 18073 = 5*m, 5*m + 22619 = -5*k + 8*m. Let y = 36233\/8 + k. Find the common denominator of 3 + (-218)\/(-36) + -1 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28854 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -181*k + 364*k - 4 - 182*k. Let g be 16 + (-5 + 3 - 1). List the prime factors of n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s**3 + 2*s**2 - 2*s - 2. Let i = 10 - 8. Let u be c(i). Suppose 14 + u = 5*f. What is the remainder when f is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3 + 1825*l**2 - 72765*l - 234585 = 0. Calculate l.\nAnswer: -401, -3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/((-8)\/2) - -2. Let b = 25 - q. Solve -1 - 1 = -b*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (-3 + sqrt(684))**2 - (sqrt(2299) - sqrt(19))*5.\nAnswer: -80*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*h - 82*h - 470*h - 201*h in the form b + v*h and give v.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18*c + 7 - 7*c - 4*c + 33*c + 13*c**2. Let q(n) = 6*n**2 + 2*n + 3. Determine -4*f(b) + 9*q(b).\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = j, -3*c - 2*j - 10 = c. Solve c - 1 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3411 + 3413. Let y(i) be the first derivative of 21\/2*i**s + 3 + 1\/4*i**4 - 8\/3*i**3 - 18*i. Factor y(w).\nAnswer: (w - 3)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + (-4 - -1) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16902.6 years?\nAnswer: 1690.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15.54. Let z = 0.511 - i. Round z to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/13592 and 79\/808.\nAnswer: 1372792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33937*m - 33938*m + 30 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/3 (c) -2\/5 (d) -0.5 (e) 1 (f) 6.1 (g) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 5. Let g be 0\/(44\/o + 2\/10). Solve -4*p + 20 = -g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 87*h**3 + 13*h**2 + 13*h - 66. Let i(s) = 44*s**3 + 6*s**2 + 6*s - 33. Let a(o) = 13*i(o) - 6*w(o). Differentiate a(q) with respect to q.\nAnswer: 150*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:42 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/66*(-18)\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.0956 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -138, -4, -1, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = -154*f + 813. Suppose -7 = -5*k + 8. Solve -4*h = 4*x - 12, k*x + 0*x = f*h + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(4\/64). What is the tens digit of 3*(-3)\/(-36) - (-614)\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 1 + 8*f - 4*f - f**2. Let v = 4 - 6. Let b be n(v). What is the third smallest value in b, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 - 322.213. Let f = g + 0.223. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o + 226376 - 49576 = 0. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -9) + (-40)\/10. Solve -z*b + i - 6 = 0, 12*b - 3*i + 6 = 9*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/117 (b) -2 (c) -2\/5 (d) -65 (e) 2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let a be o(-2). Suppose 0 = 5*i - 4*g + 4, -a + 0 = -4*g. List the prime factors of 1 - (i\/3 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306056 to the power of 1\/2, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 3 + 17)*(3*t - 3*t - 2*t**3) + 2*t**3 + 0*t**2 + 0*t**2 to the form v*t + q + r*t**2 + g*t**3 and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 - 8*q + 8. Let y(w) = -9*w**3 + 15*w - 15. Let h = -91 - -80. Determine h*i(r) - 6*y(r).\nAnswer: -r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 4*v + 2. Let a be n(-4). Let g(s) = -22*s - 129. Let f be g(-6). Solve -f*l + a*l = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1692*c - 6 = -4*t - 1694*c, -9*t - 4*c = -12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/339035 and 59\/45.\nAnswer: 3051315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f + 1. Let d be r(-3). Let s be 2\/d + (-45)\/18. List the prime factors of (s + -2)\/((-2)\/11).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740445 - 6?\nAnswer: -740451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/6)*i\/i**13*i*(i*i\/i**(-4\/5))**(-4))**(-17) assuming i is positive.\nAnswer: i**(10217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**2*h**2 + 212*a**2*h*z**2 - 2*a*h**2*z + 2*a*h*z - 40*h**2*z**2 + 9*h**2 - 10*z wrt z.\nAnswer: 424*a**2*h - 80*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 37. Let r = -10 + a. Calculate the remainder when (-1)\/(-6) - 173*(-2)\/12 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375813 is divided by 2462?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17421 + 3013844\/173. Calculate the common denominator of -1\/11 and b.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/3 - 7*d**2\/2 + 2*d - 202. Suppose -5*n + 1 = -r - 8, -5*r - 17 = 3*n. Is 13 a factor of t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192))**2 - sqrt(576)\/sqrt(12)) + 4 + (4*sqrt(36)\/sqrt(2))\/(-1*sqrt(726)).\nAnswer: -48*sqrt(3)\/11 + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -221 divided by -1\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 224293, 897091, 2018421, 3588283?\n\"Answer: 224266*x**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/24 + 4*b**3\/3 - 11*b**2. Let q be h(-17). Solve 3*m + 2*m = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 + 11*x**2 - 32*x**2 + 1 as q*x**2 + w*x + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqrxrxkrr. Give prob of sequence kr.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1 - 2. Let a = -13 + 9. Let t = i + a. Sort 2, -4, t.\nAnswer: -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2520828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -15. Let u = -7 - x. Is -2\/9 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -2*h, 6 = 4*o - o + 2*h. Let c(j) = 2*j. Let v be c(1). Suppose -5*n + 7 = 4*l, 8 + v = l + 4*n. What is the closest to l in -0.5, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, p: 1, u: 1, b: 3, v: 1, n: 2}. Give prob of sequence bu.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 789*i - 5507. Let c be o(7). Solve -11*p + 9*p - c = -4*g, -3*g + 12 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from {h: 1, p: 1, u: 2, v: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 50 = -3*i, 0*i - 3*y = -i + 5. Let d be (-4)\/i - (-3 - (-140)\/(-25)). What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 1, -433, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 37. Let p = o - 13. Suppose 2*d - 30 = d. What is the smallest common multiple of p and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 110*i + 1995. Determine p(-87).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcc. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, 7 in ascending order.\nAnswer: -4, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6177668357 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 7107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -6da3bb?\nAnswer: 6da3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 52 = 4*c, 2*c + 2251 - 2219 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3 - 3)*(0 - 2*t + 0) - 3*t**2 - t + t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 4*y = -7*m + 25, -4*m + 4*y + 16 = 0. Let h(a) = -603*a**3 + 2*a**2 + 3*a + 1. What is the hundreds digit of h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13323 - 1103111?\nAnswer: -1034233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 281 - 281 + 414*l + 376*l as r*l + h and give r.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3688524485 to the nearest integer?\nAnswer: 60733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 18. Let d be (-16)\/(-72) + (-16)\/(-9) + 394. Suppose -z*v = -2*v - d. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6009*f - 6111*f + 2157 = -3453 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 3*i**2 + i**2 + 18*i**2 - 3*i**2 + 8*i**2 + (-2*i + 5*i - i)*(-2*i - 2*i + 2*i) to r*i**2 + c + m*i and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70460 + 3425?\nAnswer: -65033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6992893\/61 or -114639?\nAnswer: -114639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -57938\/1115 at most as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 95. Let k be f(-7). Solve 0*t - k = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*g + 66 + 48, -3*o = -3*g + 144. Calculate the remainder when 304 is divided by g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-342)\/(-81) + (14\/18 - 1). What is the smallest value in 2, q, -2\/21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -764b3bc + 2?\nAnswer: -764b3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 7*x - 4*x + 4, 3*q + 4 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(52)\/(sqrt(4)*6)*-3.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-1*(-2)\/64). Let w = 7237\/16 + i. What is the common denominator of (-195)\/12 + (0 - -1) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**3\/2 + 13*j**2\/2 + 256*j. Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98472?\nAnswer: 2, 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 17 + 23 = -h, -h + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001 (base 2) in base 3?\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -2\/17, 0.11, -6\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1110 and 12574302.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 (base 5) in base 12?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 4*n**2 - 3*n - 6. Let k be t(5). Let p = k - -12. Solve -4*y - j = p, -29 = 4*y + y - j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/((t\/(t\/t**(-4\/7)))\/t))\/((t*t**(-3\/2))\/t**(-3)) assuming t is positive.\nAnswer: t**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = l + 6, 3*h - 2*h + 2 = 3*l. Let q = -13\/6 - h. What is the second smallest value in 3, 0.07, q, 4\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2724392 and 18.\nAnswer: 49039056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 614 - 618. Put 18, -9, m, 5, 0 in ascending order.\nAnswer: -9, m, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -18097.2 take away 0.3?\nAnswer: -18097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-20)*(-10)\/(-4). Solve 6*n + u = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 115, 181, 249, 319?\n\"Answer: v**2 + 61*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 225, -4.72, -0.2, -1.\nAnswer: -4.72, -1, -0.2, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*t + 1506 = 151*v + 464*t, 0 = 5*v - 4*t - 34 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {q: 1, b: 1, o: 1, a: 1, f: 1, t: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381 - -395. Solve l*a - 3 = 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47712, 47726, 47748, 47772, 47792, 47802?\nAnswer: 47796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 - u**5 - u**5)*(-229 + 576 + 190).\nAnswer: -1611*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 53 = -13. Let h = a - 31. Solve 15 = -5*v + h*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*5286\/198 + 2\/(-11). Let t(w) = -14*w - 5. Let m be t(4). Let p = m + f. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3971*m**2 + 3926*m**2 - 7856*m**2.\nAnswer: 41*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 108*p - 79475. Give l(-232).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144900 rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -0.015, -3974, 14, 3 in decreasing order.\nAnswer: 14, 3, 0.9, -0.015, -3974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2400)\/(-288) + (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 15) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j*j\/(j*j**5*j))\/(j*j\/(j**3*j)*j**(6\/11)) assuming j is positive.\nAnswer: j**(-72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10654, -21309, -31968, -42631, -53298?\nAnswer: -63969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*6\/(-8))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -197, -510, -967, -1568, -2313?\n\"Answer: -72*z**2 + 47*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 0 + 0)*(-5*y + 3*y + 4*y) - 3*y**2 - y**2 + 3*y**2)*((2 + 1 - 4)*(-3 + 1 + 1) + 2 - 5 + 1 + 0 + 3 - 1)*(-944 + 1194*y + 944).\nAnswer: 1194*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 8*d**2 - 10*d - 5. Let h be u(-9). Suppose -h*m + 443 = -157. Suppose g - m = -4*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 8*x**2 - 3*x + 11. Let d be (-1)\/(-5) - (-16)\/(-5). Let m(p) = 3*p**3 - p - 5*p**3 + 4 + p**3 + 0 + 3*p**2. Determine d*r(b) + 8*m(b).\nAnswer: -2*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 160 - 524 = 0. Calculate the greatest common factor of 38 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-169)\/(-1430) - 3\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m - 2. Let p be f(-2). Suppose 0 = -2*t + 2*w + 2, p*w - 11 = -t - 4*w. Which is the smallest value? (a) -1 (b) -4\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.258 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13262 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 4*q**2 - 5*q + 144. Is 4 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d + 54. Let w be k(11). What is the units digit of (-38686)\/(-87) + ((-1)\/3)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -54104367\nAnswer: -216417468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -117, -120, -123?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 0) + (28 - 13 - 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 184770*g - 184767.\nAnswer: -3*(g + 1)*(g + 61589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1269.866526 to the nearest ten.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**3 + 2*v**2 + 2*v. Let h be n(-4). List the prime factors of (6\/5)\/((-3)\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/9*(-21)\/(-4). Let s = w + 10. Let x(t) be the third derivative of -t**4\/24 + t**3\/2 + 3*t**2. Calculate x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15629195 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + 21)*(-60)\/(-20). What is the greatest common divisor of v and 2133?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 37553 + 37556 + 47*j - 112663 + 37554.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244375161\/11690 - -146332\/7. Find the common denominator of a and -27\/4.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 - 8*(-3)\/(-24). Let o = 0 + 5. Suppose -4*l = o*x - 6*l - 11, 3*x + 5*l - t = 0. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -1\/4 (c) 1 (d) 0 (e) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let d(i) = i. Suppose 0 = -5*b - 3*q + q + 90, -4*b + 85 = -q. Let u(g) = -8*g**2 - 10*g. Let w(l) = b*d(l) + 2*u(l). Calculate w(j(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqylqlblllyllmyqllly. What is prob of picking 1 y, 1 q, and 1 b?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-1\/11)*r*r)*r*(r**(2\/43)\/r)\/r*r*r**(-26)*r**(1\/15) assuming r is positive.\nAnswer: r**(-197212\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2. Let n(k) = 554*k**2 - 1119*k**2 + 564*k**2 - 289*k - 57*k. Give n(j(l)).\nAnswer: -36*l**4 + 2076*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/s**17*s**12*s*s*s**(-23) assuming s is positive.\nAnswer: s**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let d(p) = 5*p + 19. Let t(m) = d(m) - 4*l(m). Let o be t(-17). Let j be ((-10)\/(-4))\/((-5)\/o - -3). Solve w - 8 = -w + 4*r, j*r = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-759143998)\/(-12) + (-38 - 3893\/(-102)). Round p to the nearest 100000.\nAnswer: 63300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 126, 122, 118, 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103\/252 + 10\/63. Suppose -3*r - 17 = -4*r. Let t = r + -67\/4. Which is the third biggest value? (a) 3 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/(3 - 9). Suppose -7*h + 2*h - q = 3*i, -4*h - 11 = -i. Sort 6, -3, h in increasing order.\nAnswer: -3, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588 + -431. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5 + 6184\/10. Let q = p - 428. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {m: 4, a: 7, l: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 - -2110?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291 and 600540?\nAnswer: 58252380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17594*c**3*f**2 + 284*c**3*f - 9053*c**3 - c**2 - 770*c + 5 wrt f.\nAnswer: -35188*c**3*f + 284*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 9 = 3*c, n = -3*n - 2*c + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 less than or equal to 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 2870*a - 14487*a.\nAnswer: -11617*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -818\/143 + 72\/13. Let g = -0.2 - -0.3. Which is greater: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2. Let d(t) = -543*t**2 + 4*t - 207. Let k(m) = -1085*m**2 + 7*m - 362. Let x(h) = 7*d(h) - 4*k(h). Calculate u(x(w)).\nAnswer: -1452605*w**4 + 5390*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 + 47 = 0. Calculate the greatest common factor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrrdrrrrdrdrrrr. What is prob of picking 1 h and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(24\/51)*(-80)\/5. Suppose -v - 295 = -3*w. Suppose -123 = -4*t + w. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47100990 + 0?\nAnswer: -47100990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*h - 15, 2*j + 23 = -5*h - 0*h. Let r(i) = -i**3 - 5*i**2 - 2*i + 1. What is the units digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 12 = 0, 3*s - 24 = 2*p - 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117) + -1)**2 + (sqrt(117) + sqrt(117) + (-2*sqrt(117))**2*2 - sqrt(117)) + -5*((sqrt(117)*1)**2*3 - sqrt(117)).\nAnswer: -701 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, -41\/19, 4, -1\/4, -2 in decreasing order.\nAnswer: 16, 4, -1\/4, -2, -41\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 8*d + 1. What is x(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7 - 16*m - 5*m**3 + 8*m**3 + 46*m - 24*m. Let b(u) = -u**3 - 2*u - 2. Calculate 14*b(o) + 4*w(o).\nAnswer: -2*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t - 4. Let g be 1 - 24\/(-6) - 2. Let w be n(g). Solve -w*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -240, 3, -7, -4 in descending order.\nAnswer: 4, 3, -4, -7, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.046 + 17.046. Which is the smallest value? (a) -1 (b) y (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 116?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/20 + 3*y**2. Let v(w) = 3*w - 5*w + 4*w + 0*w. Calculate v(x(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 69, 121, 195, 291, 409, 549?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6678695 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 91 = 301 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 = 9*w - 364. Suppose -8*i - 2*i = -160. Calculate the remainder when w is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1272 divided by -559\nAnswer: -1272\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 - 450*a + 90809\/3 = 0. What is a?\nAnswer: 71, 1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 455, 682, 909?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 564102 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.1. Let m = -93 - -161. Let i = 64 - m. What is the closest to -0.1 in i, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17333700 to the nearest 100000.\nAnswer: -17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*n**3*u**4 + 26*n**3*u**3 + 20*n**3*u - n**3 + 4*u wrt u?\nAnswer: 132*n**3*u**2 + 156*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462.43 - -573.7. Round z to zero decimal places.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -70*o. Let r(m) = -m + 2. Let y be r(6). Let t be -3*y\/24*-4. Does 24 divide c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5eee8 (base 15) in base 3?\nAnswer: 120102122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -54. Let g = 1546 + -1409. What is the remainder when g is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*p - 5*t, 0 = -4*p - 0*t - 5*t + 19. Suppose 0*r + 4*r = 4*a - 4, 5*a - p = 3*r. Solve a*f - 8 = -28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**2 + 248*l - 31*l**2 - 794*l.\nAnswer: 3*l**2 - 546*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 16*n**2 - 16*n - 16. Let i(x) = x**3 + 3*x**2 + 3*x + 3. Give -16*i(v) - 3*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 819146483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 467 + -468. Let k(b) = -1. Let y(w) = 8*w + 4. Give g*y(s) - 5*k(s).\nAnswer: -8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.1. Let f = -2\/35 - 44\/455. Which is the smallest value? (a) l (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 25*j - 4*j + 24*j to q*j + t and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 51 - 12736*g**2 + 38*g + 45 - 38. Let h be i(17). Round h to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74428*0.076.\nAnswer: -5656.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/546 + (-2)\/(-3). Let a = h + 2\/91. Suppose -8\/3 + 0*d + a*d**3 + 2*d**2 = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1654 + 1654 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.98 + -0.02. Let u = f + 5.92. Let k = u - -0.0799991. Round k to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 4 + ((-4899)\/300 - (-295)\/236).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 3:25 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:28 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 11352 = 4608. Let k = w + -454. What is s in -k*s - 1\/4*s**2 + 0 = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 5793480?\nAnswer: 5793476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-10))\/((-10)\/(-25)). Suppose -100 = d - f*d. Let s be (-4)\/(-5) - 8\/d. Which is bigger: -7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)*c\/(c*c**(-1))*(c**(-2))**(-13))\/((c*c\/c**(-1\/4))**(-3\/16))**(-47) assuming c is positive.\nAnswer: c**(4259\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 - m**2)*(3*m**2 - 50 - 32 + 320 + (1 + 2*m - 1)*(-2*m - 5*m + 5*m)).\nAnswer: -m**4 + 238*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1416927 and 1416925 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(1700)*3 - (sqrt(1700) - (((sqrt(1700) + 2)**2 - sqrt(1700)) + 3))) + (-6*(sqrt(1700) - 2*sqrt(1700)) + sqrt(1700)*-3 + -1)**2).\nAnswer: -20*sqrt(17) + 34020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90709048?\nAnswer: 2, 281, 40351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 1*(-3)\/(-3)*-1. Solve 5*r - x*v = r + 17, r - 1 = -2*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:53 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:07 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 18*p**2 + 4*p + 80. Calculate o(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-4)\/32). Suppose -3*h + 5*a + 33 = s, -2*a - 10 = -h. Calculate the smallest common multiple of h and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 - 8*r - 9. Let y(q) = q**3 + 4*q**2 - 7*q - 1. Let a be y(-5). Let k be t(a). Solve 0*g + 4*g + 8 = k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221222 (base 3) in base 5?\nAnswer: -32114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2*-1)\/((-225)\/(6300\/224)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 3, g: 3, v: 4, a: 1, s: 1}. What is prob of sequence zag?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 18. Which is the third smallest value? (a) 1\/4 (b) -0.06 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:52 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.09 (c) -0.2 (d) 1.45 (e) -11 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 10 = 0. Suppose 0 = -2*n - p*n + 80. Suppose 0 = 2*j + 3*i - 58, -29 - n = -3*j + 5*i. What is the remainder when 43 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from yyayay.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let b(j) be the first derivative of -27\/2*j**2 - 197 - j. What is h(b(t))?\nAnswer: 2916*t**2 + 216*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014131 - -31003?\nAnswer: 1100134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396060188 to the nearest integer?\nAnswer: 19901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 25*p + p**3 + 378*p - 204*p)*(-1 + 0 + 2)*(3 + 3 - 5).\nAnswer: p**3 + 199*p - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1.678?\nAnswer: 0.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*i**2*s**3 - i**2*s**2 - i**2*s + 62*i*s**4 - 20983*i*s**2 - 3*s**4 - 1 wrt s.\nAnswer: -282*i**2 + 1488*i*s - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 25*f**2 + f - 2. Let y be j(3). Suppose l = -l - y. Let u = l + 221\/2. Calculate the common denominator of u and -39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/(12\/56). Let r(v) be the first derivative of -3 + 5 + 7 + 2*v**o - 1 - 5*v**3. What is the third derivative of r(t) wrt t?\nAnswer: 1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, h: 3}. Give prob of picking 2 f and 1 h.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - z - 2*z = -3, 3*z = 4*d + 3. Suppose 180 = 2*y + 2*y. Suppose d = -2*p - 3*p + y. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/5 + 528*j + 2620.\nAnswer: 4*(j + 5)*(j + 655)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 792108094 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 121042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82123 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 650 and -4.\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (sqrt(112) + 0 - (sqrt(7) + (sqrt(7) - (0 + sqrt(7) + -1)))))**2 + -2 + ((sqrt(112) + -1)*2 - sqrt(112)).\nAnswer: 28*sqrt(7) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 28286 = -26364. What is b rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 147751.8651 seconds?\nAnswer: 0.24429871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30468284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -477, -954, -1435, -1920, -2409, -2902, -3399?\n\"Answer: -2*g**2 - 471*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.757 + -3.28. Let l = g - -0.383. Which is the second smallest value? (a) l (b) -5 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7.7, 3\/7, 0.1, -24\/71, 12, 5\/2, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7 + 9*k + 4*k - 4. Let x(p) be the second derivative of -7*p**3\/6 + 3*p**2 + p. Let o(z) = -6*d(z) - 11*x(z). Let m(u) = u**2. What is m(o(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3525788 microseconds in nanoseconds?\nAnswer: 352.5788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 + g**2 + 52*g + 32. Is a(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + 7 - 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 77*v + 23. Let p(t) = -3*t**2 - 155*t - 40. Give -5*g(u) - 3*p(u).\nAnswer: 4*u**2 + 80*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 6. Suppose -24*b - 199 - 356 = -39*b. What is the remainder when b is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*9\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218399499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j - 23*j - 40*j - 34*j to the form d + b*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 27 - 20 - d**3 - 26.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.04242 + -0.04242. Which is the second smallest value? (a) -0.6 (b) 2 (c) w (d) -3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.0106, -5, -2, 4, 14?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*n = 990, -2*y + 2*n + 926 = 6*n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (62\/12)\/((-1)\/3). Let s = h - -16. Which is the second biggest value? (a) s (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -14*h. Let w(j) = -j**2 + 28*j - 66*j + 38*j. Determine w(o(a)).\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/6, 12, 1 in descending order.\nAnswer: 12, 1, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 46*u**2 + 8*u + 1. Let k(g) = g**3 - 7*g**2 - 2. Let r be k(7). Let l be 2 + r*(-28)\/(-8). Is w(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -0.05, 1, -2, -7, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/(-186))\/((-4)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 24277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242478036 and 16524?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1825.058.\nAnswer: -1824.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33542, -69943, -106342, -142739, -179134, -215527, -251918?\nAnswer: -288307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 14. Let r be (-29)\/5 + x\/(-35). What is the remainder when (r + 5)\/(1\/(-17)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -34*j - 683. What is z(-7)?\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090372841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {u: 4, w: 4, g: 7}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 551248879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 235, 245, 255, 265?\n\"Answer: 10*q + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46166894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/9, 1, -3.\nAnswer: -3, 1\/9, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -132970.144 rounded to the nearest ten?\nAnswer: -132970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1488 - -81816\/55. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 8*t + 65. Let w be k(-13). Let f be -1 - 4 - (w - 22). Is 15 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 (base 13) in base 7?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 2*z**5 + 0*z**2 + (3 - 3 + 2*z)*(-z**3 + z**3 + 2*z**4) + z**5 + 3*z**2 - 3*z**2 + (3*z + 2*z - 4*z)*(-39*z**4 - 26*z**3 + 26*z**3).\nAnswer: -36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 745 = -5*c, 757 = -5*c + d. Let u = -69 - c. Let k = u + -40. Is 43 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527467 is divided by 1763733.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39536\/(-2118)*2\/24.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 27 + -62 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*r + 19 = 0, 2*o + 3*o + 16 = 2*r. Let u = o - -6. Suppose g - 190 = -u*g. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1873 - 9363\/5. What is the closest to 11 in 2\/3, -3\/2, -1\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**0\/s)\/s))**(-44)*(s*s**(-1))**20)**1)**(1\/6) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 7.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*p = -g - 5, 17 = -2*g - 5*p. Suppose 0 = b - 5*b + g. Let z be 3\/(-1) - b*-51. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530 divided by -53.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 6 + 173 - 499*c + 97*c.\nAnswer: -402*c + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -700 + 1441. Let k = -741.0000918 + c. Round k to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 858*l**3 - 945*l**2 + 1 wrt l.\nAnswer: 5148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466985 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13858 + 13856. Which is the closest to -64\/7? (a) s (b) -8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3576817303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**4*w - 1248985*d**3*w**2 + 5*d*w**2 - d*w + 2*d - w**2 + 2929*w + 14 wrt d?\nAnswer: 36*d**2*w - 7493910*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwww when four letters picked without replacement from whllhllhlhwwmml?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -y + 4*b, -16*b + 430 = -5*y + 68*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 1.28, 0.5, -5, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2839, -2841, -2845, -2851, -2859?\nAnswer: -2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2898, 23170, 78164, 185238, 361750, 625058, 992520?\nAnswer: 1481494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*v**2 - 167*v**2 + 4*v - 4*v.\nAnswer: -405*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in 112, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/7))\/r**(3\/4)*((r*r\/(r\/((r\/(r\/(r\/(r*r\/((r**(-1\/3)\/r)\/r)))))\/r)))\/r)**(1\/33) assuming r is positive.\nAnswer: r**(1121\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*r - 57*r - 56*r)*(-68 + 105 + 155) + 5*r - 3*r - 4*r.\nAnswer: -1346*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, -2763, 3 in decreasing order.\nAnswer: 4, 3, -9, -2763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 12) to base 3.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*i + 2, -1 = -g - 9*i + 8*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100110011 (base 2) to base 10\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 - -165.814. Let v = -0.2 - n. Round v to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (19 - (-4 + 4)). Let q be (0 - 1)\/(11\/t). Suppose q*d = 5 - 1. Is d at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 - 9 = 0. Suppose 3*o - 36 = 3*l, 3*o - s*l + 4*l = 26. Solve 4*g = -3*d + o, -4*d + 5*g + 0*g = 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 3\/7, -21, -0.444, 0.2 in increasing order.\nAnswer: -21, -0.444, 0, 0.2, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 373271112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24169740 and 3612.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1)*(15 - 11) + 4. Suppose 33 = 2*a - b + u, -3*b - 27 = -3*a. Let i(g) = g**2 - 2*g + 1. Calculate the remainder when i(4) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -36\/5, 3.892?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22752.0816122 + 0.5.\nAnswer: 22752.5816122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 - 2*f. Let b(p) = 4*p + 2. Let l be b(-3). What is the remainder when 58 is divided by m(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -40.\nAnswer: -40, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**3 - 4*y**2 + 9*y - 4. Let q(s) = 27*s**3 + 11*s**2 - 28*s + 11. Let t(o) = -11*m(o) - 4*q(o). Find the second derivative of t(b) wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 19 + 19 + 7 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115, 964, 3275, 7780, 15211, 26300, 41779, 62380?\n\"Answer: 122*s**3 - s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 2. Let n(f) = -f**3 - 15*f**2 + f + 14. Let v be n(-15). Let d = 16 - 16. Which is the closest to 1\/4? (a) r (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.4. Let t = -1.1 - r. Which is the smallest value? (a) t (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 4 + 9 + -7 + 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.1, 15, 5, 74, 2\/3 in decreasing order.\nAnswer: 74, 15, 5, 2\/3, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53 + ((-34)\/9 - 2\/9). Suppose p - 23 = 2*x + 63, -x - 57 = -4*p. Let i = t + x. Calculate the remainder when 47 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-28) + (-4)\/(-14). Let k = 0.97 - -56.03. Let j = k - 59. What is the biggest value in j, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289027436 to the nearest integer?\nAnswer: 47844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-2*4)**2*-5.\nAnswer: -425920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17572368.\nAnswer: 2, 3, 11, 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:27 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 173*r**3\/6 + 117*r**2\/2 - 4*r - 4. What is the derivative of z(i) wrt i?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z**3 - 4*z**2 + 61*z - 12. Calculate the remainder when y(-7) is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 5, i: 2}. Give prob of picking 1 v and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*r + j**2 + 1114*r**3 + 1805 wrt r.\nAnswer: 2*j**2 + 3342*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3432 + 5003. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(5*sqrt(7)))**2 + sqrt(14)\/sqrt(2)*-5.\nAnswer: -5*sqrt(7) + 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 68) + 18 + 6 - (-1 + -19)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-1*(-11)\/11. Let k be 18 + -11 + -3 + -1. Suppose -k*h - 9*h = -36. Solve z = h*v - 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Let n(d) = -4*d**2 + 6*d**2 - 4*d**2. What is t(n(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3 - 6. Sort 1, h, -1\/3, 0.04 in increasing order.\nAnswer: h, -1\/3, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 7948*n\/3 - 2650.\nAnswer: 2*(n - 3975)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 5*i**2 - 3*i + 2. What is s(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -19 - 16. Solve 11 = -l*j - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 160134833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3262 - 1436. Calculate the greatest common divisor of r and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**28)**(1\/89)*(v**3\/v*v\/(v**(2\/9)\/v))\/(v**5*v**(-2\/13)) assuming v is positive.\nAnswer: v**(-62177\/52065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 1 - 24. What is the second derivative of 5*k - k**5 + k**r + 3*k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 7445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -71 times 3.4\nAnswer: -241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30812 divided by 1?\nAnswer: -30812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*k = -6*k - 8, 4*m - 4*k = 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 - -0.41. Let f = -0.1 + 0.1. Let m(q) = -q + 5. Let t be m(0). Which is the smallest value? (a) t (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 42. Let n be y(-14). Solve 5*k - k = n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 1\/7 (c) -6\/7 (d) 3\/110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 267 = -4*r. Sort -4, 4, r.\nAnswer: r, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-30)*-4*2\/8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15007.31l?\nAnswer: 15007310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/1*(-54)\/((-1620)\/290).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 6 = 31*d + x, d + 2*x = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8426*j**2 - 19838*j?\nAnswer: 16852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/24 - w**5\/30 - w**4\/8 + w**3\/3 + 12*w**2. What is the units digit of j(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + 13\/(-273)*60.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + (1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2 + 11. Solve b - 2*q = 1, -x*b + q - 3 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, h: 5}. What is prob of sequence hrhh?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5*q**3 - 33029*g**3*q**3 - 230*g**2 - 2*g - 12*q**3 wrt g.\nAnswer: 60*g**2*q**3 - 198174*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 225509810?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13546 - -13546.000001399. What is o rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 979 - 553. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 192 = 5*f. Suppose o + 2*t = f, 0*o = -3*o + t + 123. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/64293 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 9951785?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s\/(s\/s**(-7\/2)))**(1\/4)*((s*s*s**(1\/3)*s)\/s*s*s**(-1\/5))\/(s**(-1\/2)*s**(-1\/8)) assuming s is positive.\nAnswer: s**(263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2213*t**2 - 3 + 2232*t**2 - 4417*t**2 as b*t + u*t**2 + l and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18636000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3 - 727*l**2 - 2*l + 52995 with respect to l.\nAnswer: 9*l**2 - 1454*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10171 >= -223755\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*w - 6153 + 6273 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and -0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8552 + -8392. What is the lowest common multiple of o and 570?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-747)\/63 - -11 - (-6296)\/28. What is the highest common factor of k and 6328?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1))\/n**(-6))**9 assuming n is positive.\nAnswer: n**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42800 is divided by 41922.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 130, 263, 404, 559, 734, 935?\n\"Answer: q**3 - 2*q**2 + 132*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1\/10 (b) 0.4 (c) -0.5 (d) -28\/4689\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c = 6. Let a be c*(3 - 7 - -5). Solve -a*o + 4 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1580 + 1586. Suppose 0 = -3*g - 3 + 9. Suppose -2*k - 24 = -4*q, g*q + 3*k - 4 - 16 = 0. Calculate the smallest common multiple of q and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2098\/3 or 34603?\nAnswer: 34603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 4*t**2 - t**2)*(0*t**2 - 2*t**2 - t**2) + 100*t**4 - 289*t**2 + 289*t**2 to z + d*t + v*t**3 + g*t**2 + q*t**4 and give q.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l - 82342 = -5648677. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -14 (c) -8\/45 (d) 264 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186257174*u**2 + 82645944*u.\nAnswer: -372514348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 1224 = 25*i - 72*i, l + 9*i - 5901 = -5666 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4)*240\/18. Let r be 1\/(-2 - (-63)\/f). Calculate the highest common divisor of 40 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 8*n + 7. Let s be t(7). Suppose -7 - 5 = -3*q, s = 3*h + 4*q - 55. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9572*f**3 - f + 3188*f**3 - 1510*f**2 + 3197*f**3 + 3189*f**3 in the form r*f**3 + g*f + o*f**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 + 19495*i + 38265606\/5.\nAnswer: -(i - 97866)*(i + 391)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154055581, -154055583, -154055585?\n\"Answer: -2*i - 154055579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from cpppppppccpppppppcpp.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 5*a**2\/2 + 7*a - 12. Let t(r) = -3*r - 4. Let k(v) = -7*t(v) - 4*u(v). Let d(p) = p**2. What is d(k(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2. Let p(a) = 12*a**2. Calculate p(c(q)).\nAnswer: 768*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4045 and 5139577.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155923 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: What are the prime factors of 4874919792?\nAnswer: 2, 3, 101560829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -4, 3*b - 2437 = -r. Suppose 0 = -10*a + 5975 + r. Suppose -4*f - 2 = 2, 4*s = 4*f + a. List the prime factors of s.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(-2\/3)\/(o**(-5\/3)*o*o\/(o*o*o**(-7)*o*o)*o))\/((o**(-9)*o\/(o*o**4))\/(o**(2\/5))**(1\/13)) assuming o is positive.\nAnswer: o**(548\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -45*v**2 - 132*v + 9 = 0?\nAnswer: -3, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**3 - 22*y**3 - 14*y**3 + 58*y**3 - 8*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 325, 1457, 3927, 8215, 14801, 24165, 36787, 53147?\n\"Answer: 80*d**3 + 189*d**2 + 5*d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 2. Let p be 30\/(-18)*i*(-4)\/(-5). Let t be 21\/9*(1 + p). Put t, 1, -4 in descending order.\nAnswer: 1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205268 or -205024?\nAnswer: -205268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 - (-130)\/(-184). Which is the third smallest value? (a) f (b) 1 (c) 0.1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 20*i - 37. Let g(w) = 2*w + 1. Let m be g(-2). Let h = m + 17. Calculate the smallest common multiple of c(-17) and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2518236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 45. Suppose -2*r - o*r = 0. Suppose 5*z + 5*t - 197 - 773 = r, -2*t = -3*z + 582. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40384.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 7, 11, -1 in descending order.\nAnswer: 11, 7, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 35*a**2 - 392*a - 1372.\nAnswer: -(a + 7)*(a + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 + 3815\/(-65))*(-2)\/(20\/(-13)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/197, -3, -2\/25, -1\/4, -2, -0.2, -2\/23?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:39 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9629 is divided by 301?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i + 513*i**3 - 417407*i**2 + 417407*i**2 in the form t + p*i + s*i**2 + h*i**3 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -655*f - 22974. Determine h(-35).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -1166, -1376, -1586?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**3 - 8*z**2 + 6*z - 173. Let x(k) = -6*k**3 - 8*k**2 + 5*k - 173. Let s(p) = -5*q(p) + 6*x(p). What is the derivative of s(b) wrt b?\nAnswer: 12*b**2 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/3)\/(g*g**(-1\/6)))**(-13\/5)*g**3*g**(-1)*g**(-2\/5)\/g**(-2\/5) assuming g is positive.\nAnswer: g**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. What is the remainder when (-228)\/(-8) + x\/(-4) is divided by ((-40)\/(-6))\/((-16)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 4*c + 748010, 4*t = -33*c + 29*c + 498680. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553154163?\nAnswer: 3, 19, 23, 53, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106821 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21960668.\nAnswer: 2, 17, 322951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866189318.\nAnswer: 2, 1433094659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6913 and 3569561?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 at least as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/520 and -33\/757055.\nAnswer: 6056440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/9 and -10\/129.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 30 = -5*v, u = -2*v + 13. Calculate the smallest common multiple of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 8:38 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88671 and 12.\nAnswer: 354684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9275559?\nAnswer: 3, 3091853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.23 (c) 1324 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006186661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/7*i**2 + 32\/7 + 2\/7*i**4 + 0*i + 0*i**3 = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*p - 55*p - 5*d + 1135, -p - 4*d + 233 = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 3*l**5\/20 + l**3 - 14*l. What is the second derivative of q(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3911 - -36c?\nAnswer: -3583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5 - 5, 5*z + 38 = i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + sqrt(896)*-1*-2)\/((sqrt(7) - (sqrt(448) - 2*sqrt(448)))*6).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2192*m**3 - 4*m**2 + m - 62750?\nAnswer: -6576*m**2 - 8*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34006 - 34004. Let d(s) be the first derivative of 80\/3*s**3 - s**5 + 49 - 5\/4*s**4 + 0*s - 50*s**r. Solve d(c) = 0 for c.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 64 = -8*p. Let d(x) = -7*x + 27. What is the remainder when d(p) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - 13*y**3 + 8*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 116\/3233895 and 29\/21559300?\nAnswer: 64677900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2 + 2)*(-x**2 + 3*x**2 - x**2) + (-3*x + 2*x + 3*x)*(-4*x**2 + 0*x**2 + 2*x**2).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/20 + o**4\/4 + 2*o**3\/3 - o**2 + 3*o. Let g(b) = -4*b**2 - b. Let x be g(-1). Let j = 1 - x. Give q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2 + 6. Suppose -42*b + 44*b = 12. Calculate the lowest common multiple of r and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616 by 7.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 12) to base 9\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3034432203 (base 5) to base 10.\nAnswer: -6170928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/25 (b) 1 (c) -0.13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 3*s + 31 + 2*s**2. Let x(t) = 3*t**2 + t**2 + 1150340*t - 4*t**2 - 1150340*t - 2*t**2. Determine x(i(u)).\nAnswer: -8*u**4 - 248*u**2 - 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u = -4*b - 2345, -3*b - 9341 = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51, -62, -73, -84?\n\"Answer: -11*p - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -4, -5, 0, 7493 in descending order.\nAnswer: 7493, 5, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -24758556192 and -84.3.\nAnswer: -24758556276.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s**2 + 4207. Let o(r) = 2*r**2. Calculate n(o(i)).\nAnswer: -76*i**4 + 4207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-357)\/(-45))\/17*90\/36?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**5\/20 + 7*z**2 + z - 56. Let x(h) be the second derivative of p(h). Let a(u) = 6*u**2. What is x(a(k))?\nAnswer: 324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 36942.96\nAnswer: 3694.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 5*i = 9*y + 19, i = 5*y - 43. Solve y*b - 25 = 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 45673458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - 3*u**2 + 4*u**2)*(3*u**2 - 2*u**2 - 2*u**2) - u**4 - 2*u**3 + 2*u**3 in the form n*u**3 + a*u**4 + q + h*u + s*u**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 9*z + 4 = 0. Suppose 228 = 4*v + j, -v + 94 = z*j + 22. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2964835112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/108 and -145\/7146.\nAnswer: 42876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2\/9, -3, 0 in descending order.\nAnswer: 2\/5, 2\/9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1 (c) 7 (d) -32\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 23*r + 3. Let d(h) = -7*h - 1. Let w(y) = 13*d(y) + 4*z(y). Give w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 28 = -8*n - 5*r, -18 = 3*n + 3*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -784 - -883. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.5, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/6 - -6*3\/6. Put 1\/4, 0.1, r, 0.4 in descending order.\nAnswer: 0.4, 1\/4, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -23 + 35 + 0 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 2*d**4 - 2*d**4)*(-2246 + 6726 - 125584*d - 2235 - 2245).\nAnswer: -125584*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:34 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 11}. Give prob of picking 2 u.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -48223106\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 1416 = 26*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h = 930*h - 42714 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*p - 2*p - p + 6*p.\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 38. What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 239778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206 + 136. Let m = x - -69.9. Suppose -f = -4 - 0. What is the smallest value in -3, 1\/6, m, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*t + 8*t - 2*t)*(-123 + 38 + 41).\nAnswer: -176*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by 36.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 10. What is the lowest common multiple of 4 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t - 12. Suppose -t*i + 2 = -10. Solve 4*z + j - 14 + 5 = 0, -2*j + i = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 5, a: 4, g: 3}. Give prob of sequence vg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5378*f**5 - 109*f**3 - 70*f**2 + 1980*f?\nAnswer: -322680*f**2 - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 19*l. Let g = -32 - -13. Let h be m(g). Is 1\/54 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3.02, -2\/31, 0?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-116)\/12. Suppose -4*w + 3 = -h. Suppose 0 = 5*z - 0*i - 3*i - 16, -w*z - 4*i = 2. Solve z = y - 0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19070, -1, 0, 357 in descending order.\nAnswer: 19070, 357, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13 (b) 3\/7 (c) -0.4 (d) 210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 1216. Suppose -5*y = -q + 195, -5*q + 2*y = 3*y - p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57588*m - 378967 wrt m.\nAnswer: -57588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.8939471 to 1 decimal place.\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 4. Suppose -2*v - 30 = 4*z - 6, -4*z + 3*v = 4. Let h = o - z. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4*(-1)\/(-3). Let f = -355.03 + 353. Let m = f - -0.03. Is o > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 55. Is g(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 + -148?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 84. Suppose -1987 = 4*p + 5*m, -p - 3*m = -2*m + 498. Let u = p - -566. Calculate the highest common factor of g and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*k = 59, 5*u + 152 = -4*k - 95. Let z be (4 + 0)\/(-4) - u. Let r = -23 + z. Calculate the remainder when 66 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 212*d**4 - 4*d - 4*d**3 + 109*d**4 + 11*d**3 + 118*d**4 to w + v*d**2 + p*d + s*d**4 + f*d**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -267 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -345*h**2 - 34*h**2 - 166*h**2 + (-h + h - h)*(1 - 1 + 2*h).\nAnswer: -547*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Let f = 5 + h. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -83, -1895 in increasing order.\nAnswer: -1895, -83, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f - 313. Let k be w(-15). Let d(o) be the first derivative of 3\/2*o**4 + 13 + 0*o + o**k + 2\/5*o**5 + 2*o**3. Suppose d(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*r - 5*l, 4*r - l + 15 = -0*r. Let t = 6 + r. Suppose 6 = -y - 4*c, -13 = -5*y + t*c + 3. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -l + 2*i + 2, 0 = l + 3*i - 3. Let p(h) = -h**3 - h - 2*h**3 + 4*h**3 - 48 + 6*h**2 + 56. What are the prime factors of p(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 14*p - 8. What is the units digit of i(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 852 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -728, -1092, -1456, -1820, -2184?\nAnswer: -2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36455931 by -503.\nAnswer: 72477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512)*1 - sqrt(1512))\/(sqrt(150)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - 7*m**3\/6 - 3*m**2. Calculate the lowest common multiple of 5 and j(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1119 - -11649. Calculate the least common multiple of r and 6.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.06, -3 in descending order.\nAnswer: -0.06, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12. Let c(g) = -g**2 + 3*g - 2. Let i be c(d). Let x = -3676\/34561 - -2\/1819. Is x != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 36*z - 146. Let c = 74 - 65. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 4:15 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + u + 2 = -4, 0 = 4*c + 5*u - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -273416865 times 0.4\nAnswer: -109366746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*b)*(3533 - 4805 - 5787 - 2439 - 6647).\nAnswer: 32290*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13859 is divided by 991.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131404 - 104312?\nAnswer: -241221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/111 and 127\/226662.\nAnswer: 226662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2871 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 1:43 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 94*a + 183 = 95*a, -5*a + 15 = 0. Calculate the remainder when 218 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*y + 1198*y - 320 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001819 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2414 (b) 26 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/(1\/(-5)). Let d(o) = -3*o**2 - 8*o + 4. Let t(c) = c**2 + c + 1. Let f(p) = d(p) + 2*t(p). Is 3 a factor of f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**6 - i**2\/2 - 5*i - 16. What is the second derivative of t(a) wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/17)*r*r*(r**(1\/10)\/r)\/r)**(4\/3))**38 assuming r is positive.\nAnswer: r**(3572\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 2*m**2 + 9*m - 2. Let v be g(-2). Solve v - 12 = 8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1293.7 - 1294. Which is the smallest value? (a) 252 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 3*t - 3*t + (-t**2 + t**2 + t**2)*(0*t + 2*t + 2*t) - 3*t**3 - 2*t**3 + 3*t**3 + (t - 6*t + 3*t)*(2*t**2 + 0*t**2 + 0*t**2).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*p + 35 = 0, 3*p = -y - 0 - 4. Suppose -u = -4*i - 15, y = 3*u - 3*i + i. What is the units digit of (u*1)\/(4\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 1 - 31. What is the greatest common divisor of 40 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 4*k - k**2)*(-930 - 140 - 768 - 2572 - 287) to l + j*k + d*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.1 (c) -7 (d) 20 (e) -42\/11 (f) 1 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13122197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/86*(-2)\/(-8). Are o and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 491 and -0.2.\nAnswer: 490.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 - g**5\/60 + g**4\/8 - g**3\/6 - 2*g**2. Let b = -49673 + 49675. Give h(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19544524 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/13 - 8376*b\/13 + 8769672\/13.\nAnswer: 2*(b - 2094)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784395*x - 55068438*x - 1761299*x.\nAnswer: -56045342*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 86*p**2 - 3*p + 3. Let n be m(1). Suppose 309 = -83*h + n*h. Find the first derivative of -86*b**2 - 9 + h*b**2 - 10 wrt b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 18*c + 8. Let a = -7 - -9. Let d be w(a). Suppose -t + d = -44. Calculate the remainder when t is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-2 - (-2 - -2)). Suppose a*y = y - 2. Suppose y*w - 316 = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 100, 149, 198?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 14*h - 100 + 5\/2*h**2 - 1\/3*h**3. Solve u(j) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (-2*sqrt(176) + 5 + sqrt(176)*2 + 4)*1 + 5 + -2 + -5))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1570, 3119, 4692, 6283, 7886, 9495, 11104?\n\"Answer: -g**3 + 18*g**2 + 1502*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 - 8*w**4 + (-3*w - w + 5*w)*(-2*w**3 + 4*w**3 - 3*w**3) + 0 + 0 - 2*w**4 + w**3 - 114*w + 114*w - 87*w**4.\nAnswer: -98*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 + 8. Let h(u) = -8*u**2 - 17*u - 17. Let m(s) = -s**2 - 2*s - 2. Let n(g) = 6*h(g) - 51*m(g). Give x(n(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546063276 to the nearest integer?\nAnswer: 23368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -123. Let m = f + 18. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 272, 571, 984?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -424515?\nAnswer: 424516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 29 - 80 - q - 35 - 3*q.\nAnswer: -3*q - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174307 and 24901.\nAnswer: 174307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 20. Let k(z) = -q*z**2 + 3*z**2 + 5*z**2. Let u(a) = 2*a. Calculate u(k(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 233478 (b) -1\/10 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010110000110001001 - 10?\nAnswer: -10100010110000110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**(-1\/6)*((s**(-20)\/s*s)\/s)\/s assuming s is positive.\nAnswer: s**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2051437 is divided by 783?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/48 and 71\/19320.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -823815, -1647632, -2471449, -3295266?\nAnswer: -4119083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 15717 = -14289. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146632 is divided by 715540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*v**4 + v**2 + 2877?\nAnswer: 304*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 891, 1823, 3131, 4815?\nAnswer: 6875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (160\/(-12))\/((-2)\/6) and 889\/42 + 2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = u - 0*u - 45, 104 = 2*u + v. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-9)\/((-27)\/(-6)) + 1). Suppose -o = -4*x - 40, 0 = -w*o + 4*o - 4*x - 136. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**4\/3 - 5764*w**3 - 6220788*w**2 + 18714276*w = 0.\nAnswer: -2163, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from {p: 6, h: 12}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*o + 17, 2*z + 3*o + 2 = 5*o. Let y = 4 - 8. Sort 1, y, z in ascending order.\nAnswer: y, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/(o**0\/o)*o**28\/o*o**4\/o)**(29\/5) assuming o is positive.\nAnswer: o**(638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1093 + 1093 - 18*b)*(-2*b**4 + 2*b**4 + b**4).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) - sqrt(240)\/sqrt(6))*3)\/(sqrt(8) + (2*sqrt(200) - sqrt(200))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5 + 220*h**4 + 12*h**3 - 12892*h**2 + 30520*h + 43200 = 0. What is h?\nAnswer: -8, -1, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m - 2*m**3 + 2*m**3 - 6*m**3 + 3*m**3 + (2*m**3 + 0*m**3 + 0*m**3)*(3 + 2 - 7) + (m - m + m)*(4*m**2 - 1 + 1).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2231851778 minus 0.214?\nAnswer: 0.0091851778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + -2 + 8 - (10 + -19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007368 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-66)\/44*(20\/(-3))\/(-2). Let s(f) = -f**2 - 7*f - 17. Let g be s(r). Let d = -163\/3 + 55. Put d, g, -4 in increasing order.\nAnswer: g, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:54 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:58 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/18*-10*27*49\/441\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 786 = 820 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:30 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 68. Suppose 22*m = x*m + 75. Suppose -m*i + 14*i = -4. Solve -14 + 6 = -i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 137647080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 at least as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 713951106 to the power of 1\/2, to the nearest integer?\nAnswer: 26720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -13542.54.\nAnswer: -365648.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -109*a**5\/60 - a**4\/12 - 35*a**3\/6 - a**2 - 64. Differentiate p(h) wrt h.\nAnswer: -218*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 336836 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = a + 3*s + 10, -2*s + 267 = 5*a. Suppose w = 2*w - 2*x - 10, 3*w = 5*x + 31. Suppose -w = -2*t + 44. Calculate the remainder when a is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 + 252\/660?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 22. Suppose 3*s - 4*r + 8 = -11, 0 = 4*s - 5*r + 26. Let o = 2 - 1. What is the least common multiple of o and k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3 - 3)*(-f**3 + f**3 - f**3)*((1 - 2 + 3)*(0*f - f - f) - f - 1 + 1 + 3*f + 3*f - 5*f + 3*f + 2*f - 3*f).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.001 and -167.9393.\nAnswer: 0.1679393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26934 = 164*u - 161*u. Suppose u + 1648 = 11*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*o**2*w - 6*o**2 + 217*o*w + 2*o wrt o?\nAnswer: -242*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-17)*9\/54*-4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46001024 to the power of 1\/2, to the nearest integer?\nAnswer: 6782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20269\/7 - -2905. Which is bigger: 8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3225239027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -758 - -918. Let w = -311 - -140. Let a = p - w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (-4)\/((-16)\/52). Suppose -1976 - c = -5*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgygggggyyyyyg. Give prob of sequence ytg.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -531691*d**3*g**3 - 50*d**3 + 96846*d**2*g**3 + d**2*g - g wrt d?\nAnswer: -3190146*g**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 5186106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34.6 * -27.04\nAnswer: 935.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (7 - (25 - -1)) - 25\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/17*-1156*(-297)\/40392?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 275, 769, 1699, 3209, 5443, 8545?\nAnswer: 12659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3)*(-24)\/(-16). Suppose 0 = -5*a - g*v + 40, 0 = a + 4*a + 3*v - 30. Put a, -4, -1 in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4268421 divided by -35.\nAnswer: 4268421\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2243115 + 0?\nAnswer: -2243115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 10*g + 326. Let h(m) = 5*m**2 + 9*m - 22. Is 10 a factor of h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 20*z**2 + 94*z + 425. Calculate r(-13).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(13))**2 - sqrt(13)) + 5.\nAnswer: -sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 176*g = 174*g + 12, 0 = 2*b - 4*g + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 840544754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94.9 * -6\nAnswer: 569.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 6*v**2 - 16*v + 2. Let r = -88 - -80. Let p be w(r). Is 15 a factor of (p - 26)\/(-6) + 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 407.6 from -0.23.\nAnswer: -407.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let l be 10\/2 - (0 + i). Let a = -3 - -3. Solve -l*o = 4*n - 0*o - 26, a = -5*n + o + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 3*h**2\/2 + 1. Solve o(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5312, 5242, 5126, 4964, 4756?\n\"Answer: -23*t**2 - t + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7404\/(-75)*(-5)\/2 + 356\/(-445). Calculate the highest common divisor of 16851 and n.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 2*m**2 + 3*m - 3. Let y be s(2). Suppose -1 - 2 = -y*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = c - 2, -4*k + c = -47 + 61 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 4*p**2 + 61*p + 272231*p**3 - 272226*p**3 to r*p**3 + n + u*p + k*p**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -40*g - 5. Let h be z(-2). Let d = 138 - -126. Let k = d - 214. What is the greatest common factor of h and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 287 - 6239 = -280*g + 2112 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 5.42197 decades in months?\nAnswer: 650.6364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409904434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + 2*d. Let s(h) = 5*h**3 + 5*h. Calculate 15*k(w) - 6*s(w).\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459902, 459909, 459916, 459923, 459930, 459937?\nAnswer: 459944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.85 - 0.8. Let v = 115.95 - 119. Let f = k + v. Is 0 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 55\/20 - (-1 + 3). Let d = 944097\/13 + -72623. Which is the third smallest value? (a) 14 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 + v - 4. Let u be d(5). Let a(m) = -8*m**2 - 133*m - 88. Let t be a(-16). Let h be (t\/352)\/(u\/(-1 - -2)). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*2\/(-9) - (-10 + 644\/63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1235 + 260*g + 2470 - 1235 to f*g + p and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3 and 19\/(-9)*180\/105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -30.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123219634.\nAnswer: 2, 61, 1009997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.89523 millennia to centuries.\nAnswer: 578.9523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/360 + 16*l**3\/3 + 17. Let z(y) be the third derivative of u(y). Let r(v) = -4*v**2. Determine z(r(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-2\/3)))\/(d*(d**(1\/3)*d*d*d)\/d))**(-2\/11) assuming d is positive.\nAnswer: d**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 214*v - 178*v - 35*v. Let g(y) = y**2 + 263*y - 9. Calculate t(g(u)).\nAnswer: u**2 + 263*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 7:49 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0. Let w = -2913\/9425 - -1\/725. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43880742 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 20013 = 2*t, -t - 6*r = -9*r - 10010. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyffyyyyyywyy. Give prob of sequence wy.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5\/42*q**7 + 0*q**6 + 0*q**2 - 1\/4*q**4 + 0*q**5 + 6*q + 0*q**3 + 0. Find the third derivative of a(v) wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315 - -313) + (-109 + -7 - -11).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-45))\/(((-160)\/24)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Solve 5*p = u - 24, 2*u - 4 = -z*p - 2*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-0.23\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + 167. Calculate the remainder when z is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96586, 386268, 868970, 1544608, 2413098?\nAnswer: 3474356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91354 or -91322?\nAnswer: -91354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2088279 greater than -2087972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 - -767536?\nAnswer: 767412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183163355, 183163356, 183163357, 183163358?\nAnswer: 183163359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2920 divided by -40.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (265\/106*(-80)\/150)\/((-4)\/(-31))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -19 + 0 + 7 + -11.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 5706618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i**3 - 148*i**2 + 148*i**2)*(i**2 + 0*i**2 + 0*i**2).\nAnswer: 23*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**4 - 4*t**3 + 11 + 0*t**2 + 12\/5*t**5 + 0*t. What is the third derivative of k(q) wrt q?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s - 849 = 750 - 79 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 - -1287005075639.\nAnswer: 1287005075482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 75*b - 68*b. What is the common denominator of 1\/33 and 511\/17052 + (-2)\/b?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(((-4)\/4)\/(-2)). Let q be (-6)\/(-8) + 85\/z. Let l be q + 5*(1 - 0). Solve 4 = l*j - 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 10. Let s be a(-7). Suppose 2*u - 166 = 3*t, u - s = -5*t + 33. Let r be 168\/u + (-4)\/22. Solve 0*o - r*o + 20 = -4*b, 4*o = -5*b + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 18 = -5*w, -33*n = -50*n + 5*w + 37 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 35*s + 2028 = 23*s. Solve 578*j + s = 591*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595726063.\nAnswer: 73, 8160631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 814, 621, 320, -89?\n\"Answer: -54*y**2 - 31*y + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 24.3405.\nAnswer: 535.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1618*r - 3. Let d be i(3). Let z = d + 2357. Round z to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -63. Suppose -3*t + 5 = -2*f, -2*f = 7*t - d*t + 11. Let m be 69\/((-4 - -4 - t)\/(-2)). Which is smaller: -137 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.244, 7.7, -4, 2 in ascending order.\nAnswer: -4, -1.244, 2, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 3*z, 0 = -2*a - z - 1. Differentiate -p + a + 0*p + 6*p + 2 with respect to p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 22, 2, -26, -62, -106?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15432*p - 151176 = 281367 - 154767 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 4*g - 2. Calculate v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 18*h - 93*h - 82*h - 128*h.\nAnswer: -h**3 - 321*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -499, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/30 - 7*a**5\/60 + 31*a**4\/12 - 5*a**3\/2 - a**2 + 5. Factor p(m).\nAnswer: -(m - 3)*(m + 5)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y + 10. Suppose p - 5*l = -3*p + 200, -250 = -y*p + 2*l. Suppose -3*h = -8*h + p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 757*p - 154259. Give l(199).\nAnswer: -3616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*((-1686)\/18)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*d**4 - 10*d**4 + 16*d**4 - 4*d**4 + 0*d**4 + 2*d**4 + (3 - d**2 - 3)*(d**2 - d + d).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -91*z**2 + 124*z + 314. Let s be w(-25). What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 10680528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 48. Let j be l(6). Let r = 1.31 - -0.09. Let q = 1 - r. Which is the nearest to j? (a) q (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*t - 20, 0 = -2*i - 2*i - 3*t + 23. Let u = 1 - -3. Suppose u*o + s - 374 = -i*s, -5*s - 295 = -3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 2*z**2)*(0*z + 2*z + z) - 12*z**3 + 2*z**3 - 2*z**3 + (-3*z + 3*z - z)*(-2 + 2 - z**2).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40538 and 729684?\nAnswer: 729684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(3 - 1 - 3) + 1 - 2 + 0 + 3 + 0 - 2 + 32 + 58 - 24 + (-1 + 3 - 3)*(9 - 6 - 10))*(3*i**2 + 2*i**2 - 4*i**2).\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92367795, -184735598, -277103407, -369471222, -461839043, -554206870, -646574703?\n\"Answer: -3*c**2 - 92367794*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -224434271 less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fef when three letters picked without replacement from {z: 1, p: 3, f: 1, e: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(((-2816)\/384)\/((-64)\/(-8)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:57 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168.9 + 168.90000955. What is d rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7179 - -7178. Sort 2\/5, -0.06, 3, t in descending order.\nAnswer: 3, 2\/5, -0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(847) - (4 + -2*sqrt(847) - sqrt(847)))*4)**2 + 4).\nAnswer: -434184 + 11264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = x + 2*h, -31 = x - 3*h + 312. Let u = 349 + x. Let m(b) = 2*b**2 - b - 4. Determine m(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30653 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114662 is divided by 2829.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 5*o**2 + 5*o)*(8086 - 8086 + 1054*o**2 + 0*o**2 - 4*o**2 + 5*o**2 + (5*o - o - 2*o)*(3*o + 0*o - 5*o)).\nAnswer: -5255*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)*p*p)**(-20\/11))**(-20\/3)\/((p\/p**1)**(2\/29)\/(p\/(p*p**(-1\/3))*p**(-6\/7))) assuming p is positive.\nAnswer: p**(43711\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4483*x - 4349. Determine k(1).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7389 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/120 - d**4\/3 - 5*d**3\/6 + 30*d**2. Let n(i) = i + 1. Let r(p) = -c(p) - 6*n(p). What is r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 12. Suppose -2*o - 45 = -5*s - 5*o, s = o + l. Solve 0*a = -2*a - s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k + 87. Let c be -1 - -1 - ((-10)\/2 + 26). Is w(c) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 37*u**2 - 85*u + 192. What is the hundreds digit of s(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-7))\/((-1)\/(-14)). Let v be -3 - (-1)\/(r\/20) - -7. What is the greatest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 2. Let r be z(3). Suppose 0 = -5*u, 3*u = -r*g - u + 120. Let y be 36\/g*(-20)\/(-6). Solve 0 = s + x - 7, -y*s - 3*x - 2 = -5*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938880346?\nAnswer: 2, 167, 797, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -34.906. Round r to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**8\/840 - s**5\/120 - s**3\/6 - 6*s**2. Let h(j) be the first derivative of x(j). Find the second derivative of h(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6449 + -83843\/13. Sort d, 2\/13, -9, -2, 4 in decreasing order.\nAnswer: 4, 2\/13, d, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15e1da - 58?\nAnswer: 15e182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x + 3*x**5 + x + 0*x**5 wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 + 19*c + 6. Let l(z) = 7*z**2 - 15*z - 5. Determine 5*g(n) + 6*l(n).\nAnswer: 12*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/84 and 37\/157927?\nAnswer: 1895124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833 < 8739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-1 - 79). Suppose 0 = 2*l - 3*l + s. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -23. Suppose -o + 7 = -3*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-5 - 10 + 5)*(17*f - 5*f + 16*f) in the form p + o*f and give o.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6. Let r(l) = -4*l + 35. Calculate -4*n(w) + r(w).\nAnswer: -4*w + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -87, -85?\n\"Answer: 2*m - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -0.16.\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let d(j) = -j**2 + 8*j. Suppose -12*h - 25*h = -1258. Let q(n) = n**2 + n - 35. Let k be q(0). Let s = k + h. Determine s*d(t) + 5*r(t).\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/1107 (b) -2\/7 (c) 0 (d) -5 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 13*o + 3*h - 1440, -3*o + 3*h = -2160. Calculate the smallest common multiple of 102 and o.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -40 in ascending order.\nAnswer: -40, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 4*sqrt(133)*-2)\/(sqrt(63)\/sqrt(81)).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2236 + -2235. What is the second smallest value in q, -0.4, -218?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 11:44 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 3a2?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -3\/2*v**2 + 3*v + 1. Suppose -2*s + 4*g = -4, -1 + 7 = 3*s + 4*g. Calculate b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1220007 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4)*(-1)\/2. Solve -4*j - d = -8, w*j + 4*d = -1 + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -365*u**3 - 51*u**2 - u - 16. Calculate l(-1).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407434944 divided by 2.\nAnswer: -203717472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -29476 + 29476 - 13*t**2. Let f(p) be the second derivative of -p**4\/6 + 3*p. What is x(f(b))?\nAnswer: -52*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54936 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4 + 0*v - 1 - v. Let w be c(-3). Is (7\/14)\/(w\/(-196)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/25 - 134\/175. Let r = -1.75 + 1.55. Which is the second biggest value? (a) j (b) 4\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 3. Let c(j) = 0*j - 3 + j**2 - 8*j - 2 + 3. What is the least common multiple of c(9) and z(7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-16 + 12) - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -118. Solve 3*l + 2*l - 2*p + 5 = 0, l + p - u = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 8 - 2)*(39*q + 47 - 61 + 13)*(-6 + 3 + 1) in the form d + p*q and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/5 - 48*b**3\/5 - 237*b**2\/5 - 78*b\/5 + 72 = 0.\nAnswer: -3, -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 766319.3\nAnswer: -3065277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -108, -186, -302, -468?\n\"Answer: -2*f**3 - f**2 - 35*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 44 + 91 = 0. Suppose 0 = -23*c + f*c - 200. Calculate the remainder when 447 is divided by c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400.0052 - -400. Let f = i + 0.00520996. Round f to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 571.463046 nanoseconds?\nAnswer: 0.000000000000944879375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -868862*j**2 + 2*j + 752561.\nAnswer: -1737724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + (-18)\/(108\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200120110000 - -2?\nAnswer: 12200120110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(-7 + 1200*y + 1319*y - 2421*y) as x*y + v and give x.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*o**2 + 20*o**2 + 11617*o**3 - 2444*o**3.\nAnswer: 9173*o**3 + 221*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19096 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 271312289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5*o**2 - 3 - 1 + 2.\nAnswer: 5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 1, b: 1}. Give prob of picking 1 p and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -23\/2. Suppose 2*r = -0 - 4. Let b be r - 44\/(-28) - 0. What is the second biggest value in f, 5, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 - (-128)\/(-8))*6. Suppose -523 + 1 = -k + 3*s, -2074 = -4*k + 5*s. What is the greatest common factor of l and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgvai. Give prob of sequence iw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 23. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195250409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31549671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2609 + 2612. Solve 0 = i*q - 12, -5*x - 3*q - 19 = -4*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*60\/15*6\/(-96)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 5. Let g(u) = 36*u - 64*u + 35*u - 2*u**3. What is the smallest common multiple of s and g(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17800)\/(-280350))\/(10\/(-140)*8\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - -4. Suppose -o = -4*n + 136, 2*n + 0*n + 5*o - c = 0. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwm when three letters picked without replacement from wmwqqmqqqqqw.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/((-4770)\/144))\/((-1640)\/275 + 6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100310 and 0.113.\nAnswer: -11335.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:35 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -168 in descending order.\nAnswer: 0, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16210932497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(-3*d**2 + 6*d - 6*d) - 2*d**2 + 4*d**2 - d**2)*(29*d + 7*d + 15*d + (6 - 1 - 2)*(-2*d - 2 + 2)).\nAnswer: 315*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.52 - -0.48. What is the third biggest value in 6, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, m: 1, v: 1, e: 6, d: 2}. Give prob of sequence edv.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 + 5*p + 3. Let m be h(4). Let t(c) = c**2 + 12*c + 14. Let j be t(-11). Let u = j - m. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 4*w. Let c(s) = -30*s**3 - s**2 - 2*s - 1. Let a be c(w). Suppose -30 = -t + 4*n, 4*t = -0*t - 2*n + a. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*-4 + (sqrt(204)*-1)\/sqrt(12))**2.\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 4. Let c be b(-3). Let l = c + 4. Let r be 199998\/(-2) - (l + 1). What is r rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*v + 90, -3*v = 3*y - 4*y - 34. Let q = v + -18. Let p(i) = -i**2 - 5*i + 5. What is the units digit of p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 119 = -28. What is the remainder when 82 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4\/f**(-2))\/(f**(-2)\/((f**(-3\/7)\/f*f)\/f)))\/((f\/f**(-2\/11))\/(f*f\/(f**(-4)\/f)))**39 assuming f is positive.\nAnswer: f**(17978\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 3533333*v**2 + 59 + 3533337*v**2 + v.\nAnswer: 4*v**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 31*b**2 + 35*b**3 + 45*b**3 - 14*b**3 + 12*b**2 to the form k*b**2 + p*b**3 + i*b + z and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.9 + 31. Let t = b + 10.9. Let f be -1 - 1*(-1)\/3. What is the closest to -0.1 in t, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*(-3)\/30*((-1014)\/9)\/1. What is the greatest common factor of 25 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggxx when four letters picked without replacement from {x: 3, g: 15}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -164?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from ffooioifoo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + j - 2*j + 3 + 0 - 1 - 2*j**2 in the form h*j**4 + q*j + a*j**3 + l + i*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) 1 (c) 1\/9 (d) 9381 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64374.38 litres in millilitres?\nAnswer: 64374380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.218, 2, -0.4, -1\/95, 4\/3?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(1286*p + 12 + 51 - 1277*p).\nAnswer: 9*p + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -74. Find the third derivative of -6*i + 26*i**5 - 5*i**2 + b*i**2 - 9*i**5 + 3*i**2 wrt i.\nAnswer: 1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-11 - 3 - -19) + -41.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -819*j - 97.\nAnswer: -819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**5\/90 + y**3\/9 + y**2\/2 + 5. Let v(t) be the second derivative of j(t). Factor v(a).\nAnswer: -2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15606 + -7787397\/499. What is the common denominator of a and -19\/7?\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-1)\/(3\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4398493590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipvquvop. Give prob of sequence pqi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.470319 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3207*a**3 + 16*a**2 - 35*a + 6. What are the prime factors of s(2)?\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 9*y + 11. Let p be g(8). Suppose -m - p + 17 = 0. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.934 + 0.066. Does 20\/17 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v - 3. Let p(g) = 3*g**2 + 3*g + 5. Let r = -9 + 4. Let t(h) = r*o(h) - 2*p(h). What are the prime factors of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -41. Let g be 15\/(-5) - 0 - -13. What is the greatest common divisor of g and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 62838276*s.\nAnswer: -3*s*(s - 20946092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/12 + 2*y. Let m(q) be the third derivative of q**4\/4 - 27*q**2. Determine v(m(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -5 - -14) + 2 + 7 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1866\/(-15))\/(36\/2940))\/(4\/(-6)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a - 29*a + 19723 - 17*a + 1480*a**3 - 1481*a**3 - 19723.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-80))\/(14\/(-28)*1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*3*(-4)\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210 + -2001022?\nAnswer: -2021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.6 + -107.6. Put 1, 0.5, g, 2 in decreasing order.\nAnswer: 2, 1, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136045*v**3 - 369968*v wrt v?\nAnswer: 816270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o)**(1\/9) assuming o is positive.\nAnswer: o**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57430 and 40201?\nAnswer: 402010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 470763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4440.07*-5\nAnswer: -22200.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:38 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 19*u. Let b(f) = 10*f - 2. Calculate i(b(o)).\nAnswer: -100*o**2 + 230*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 + 4520*o**4 - 4504*o**3 - 13552*o**2 + 4508*o + 9032 = 0.\nAnswer: -1, 1, 2, 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*l - 542 = 0, 3*i + 501 = 4*l + 82. Let m = -121 - i. Suppose -3*c = c + 12, 4*t - 4*c = m. Solve t = 5*g - g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:13 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9 + -7. Let y(u) = u + 1. Suppose n - 3*n - 25 = 3*q, 5*n + 15 = 2*q. Let s be y(q). What is the second smallest value in s, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 10*q**2 + 11*q + 5. Let a be u(-11). Let l be ((-84)\/(-70))\/(3\/a). Sort -3, l, 5.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -3*w - 550. Let o be w\/(-25) - (-4)\/10. Let h be 15\/o + 1\/(-4). Is h at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(-4)*(-1260)\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/11 - 7632*s**3\/11 - 7273292*s**2\/11 + 14569488*s\/11 - 7288562\/11.\nAnswer: -2*(s - 1)**2*(s + 1909)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*o = -39 + 13, -5*z + 6 = o. Find d such that z*d + 4*d + 2*d**2 - 4*d + 0*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 4*w - 4. Let k(i) = -15*i**3 + 33*i + 33. Suppose 8 = 2*g, 0 = -4*x + 5*g - 215 + 63. What is x*d(j) - 4*k(j)?\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y - 5. Let f(z) = -8*z + 3. Let x(g) = 2*g**3 - 44*g**2 - 7*g + 157. Let n be x(22). Give n*s(j) + 5*f(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 1531*f**2\/4 + 34911*f + 195741.\nAnswer: (f + 6)*(f + 91)*(f + 1434)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*w - 1 = 0, 3 = -42*y + 39*y - 2*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(76) + (sqrt(76) - ((sqrt(76) - -1*sqrt(76)) + 2)) - 6*4*sqrt(2736)))**2.\nAnswer: 576*sqrt(19) + 1575937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 minus 0.36?\nAnswer: 28.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b0656 + 24?\nAnswer: -8b0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - 3.72. Let p be 1\/5*-4 + 0. Let k(u) = -u**3 - 8*u**2 + 10*u + 12. Let x be k(-9). Which is the nearest to x? (a) p (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 300, 198, 82, -48, -192?\n\"Answer: -7*g**2 - 81*g + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. What is the third derivative of -10*q**2 - 3*q**2 - 13*q**5 - j*q**5 wrt q?\nAnswer: -900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 262, 261, 260, 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 58.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 g, and 1 j when four letters picked without replacement from {j: 1, g: 3, y: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10254 by -232.\nAnswer: 5127\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -113. Suppose 164 = 4*l + g. Calculate the greatest common factor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 5) to base 13.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 141, 1402, 3503, 6444, 10225?\n\"Answer: 420*m**2 + m - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - -109. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:49 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 72. Let m be (5\/4)\/(-5) - 436\/(-16). Let v = i - m. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179725 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1323) + sqrt(1323)*2 + 5)**2 + -2 - ((sqrt(1323) + (sqrt(1323)*2*2 - sqrt(1323)))**2 + (sqrt(1323) - (0 + sqrt(1323))*-2))).\nAnswer: -2835*sqrt(3) + 46190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -8. What is the remainder when 8 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.92 + 18. Let q = 8.92 + v. Let h = q + -9.1. Which is the nearest to 1? (a) 2\/13 (b) -2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 7 = -k. Suppose 4*i + k - 22 = 0. Let r be i - -7 - 47\/12. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 844*t + 820013 - 820013 as s*t + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 9743435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -162. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*c**2 - 10*c - 6*c + 16*c in the form w*c**2 + a + h*c and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*r*v*x**3 + r*v*x + r*x**2 + 2*v*x**3 - v*x wrt x?\nAnswer: 690*r*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 4*r + 156 = -18*l, -5*l + 3*r + 494 = 0. What is the greatest common factor of l and 2538?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (18 - 11 - 37)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 12, w: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k + 19*k - 48*k.\nAnswer: -77*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 44. Suppose -551 = -l*x - 163. Let c = x - 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 1:52 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2609, 6073, 9959, 14261, 18973, 24089, 29603, 35509?\nAnswer: 41801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)*-69*-1. Suppose x*o = 64*o + 65. Suppose -2*y - 1441 = -o*y. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2. Let p be x(3). Suppose -86 = -p*o - 30. Determine w, given that -42*w**4 - 123*w**3 + 6 + o*w - 51*w**2 - 21*w**4 + w = 0.\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 187\/363. Let z = 2 + -1. Does z = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*v + 30570 = -1031*v - 14792 - 94417 for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -107, -4 in decreasing order.\nAnswer: -1, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21314 (base 9) to base 15.\nAnswer: 42a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8. Calculate the smallest common multiple of 12 and (1 - -1)*v - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 1, s: 1, r: 2, w: 2, j: 1}. Give prob of sequence sjww.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 34. Let l be q(-6). Let d(h) = -3*h**2 - h + 2. Let z be d(1). Let s = z + -3. Put 1, 4, l, s in decreasing order.\nAnswer: 4, l, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -26. Let n = 80 - t. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 4*v + v)*(-15*v - 30 + 17*v + 213)*(-5 + 1 + 5)*(v + 0*v + v) in the form f*v**2 + i + g*v + s*v**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/47, 2, -0.2, -6\/11?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2443)\/(-357) + -7)*2565\/(-150). Is n >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/4 + 4\/8. Let k be (-6)\/4*(-6 - c). Suppose 0*y = k*y - 138. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0272 + 7.9728. Which is the closest to x? (a) -2\/7 (b) 5 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21941 - 21899. Calculate the greatest common factor of t and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210232007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*x + 5*w - 30 = 36*x - 167*x + 43*x, -32 = -4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 16 = -0*y - 3*y, -2*l + 25 = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9177.691ml?\nAnswer: 9.177691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 113141, 0, 1.26, 1\/5 in decreasing order.\nAnswer: 113141, 1.26, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-4))**(3\/4)*(p**(-1))**(1\/22)\/((p*p**(2\/5)\/p*p)\/p*p*p*p\/((p\/(p\/p**1*p))\/p)) assuming p is positive.\nAnswer: p**(-1149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757789.93727 minus -0.069?\nAnswer: 2757790.00627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 1\/3, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-450)\/105*((-3)\/(-6))\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 528?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhd when three letters picked without replacement from {x: 1, a: 1, d: 3, h: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -934 + 920. Sort 4, l, -7 in decreasing order.\nAnswer: 4, -7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-352)\/48*306\/(-4). Suppose c = 3*y - v - v, -4*y + 3*v + 748 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4994, -4906, -4768, -4586, -4366, -4114, -3836?\n\"Answer: -b**3 + 31*b**2 + 2*b - 5026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/336 - 233*j**7\/210 + 23*j**4\/24 + 12*j**2 - 10*j. Find the second derivative of u(g) wrt g.\nAnswer: -20*g**3 - 2796*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c17 (base 15) to base 8.\nAnswer: -5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, s: 2, j: 2, l: 1, f: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*g = -117*g. Let i(r) be the second derivative of -4\/3*r**4 + 0 - 7*r**2 + g*r**3 - 9*r. What is the first derivative of i(n) wrt n?\nAnswer: -32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*q - 7*q + 129, -86 = -2*j - 5*q. Factor g**2 - 20*g - 3*g**3 + j*g + g**4 + 2*g**2 - 24*g.\nAnswer: g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(210\/3875) + 16\/56. Let q be (4\/20*-12)\/(2\/(-5)). What is the highest common divisor of q and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 1322*n - 20283. Let j be q(-15). Let m = -4 + 3.7. Which is the nearest to j? (a) -3 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 49*a**2 + 68*a - 803. Determine w(11).\nAnswer: 5874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247002, -246999, -246994, -246987?\nAnswer: -246978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2894648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:59 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*j = -10, -2*v - 8*j + 7*j = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 364 in -12\/67, -1, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, t: 7, k: 8, e: 1}. Give prob of sequence if.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48366438542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-232\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 354239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 286, 431, 556, 655, 722, 751, 736?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -837*z + 840*z. Suppose -24 - z = -3*a. Solve -31*u = -25*u - a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99815296 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(80) + 1*sqrt(80) + 5)**2*5.\nAnswer: 1600*sqrt(5) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 739*l - 4401. Let o be f(6). Suppose 5*g + 38 = 2*y, 0*g - 5*y = -5*g - 50. Which is bigger: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)*w**(-1\/12)*(w\/(w**(2\/11)*w))\/((w*w*w**7*w)\/w) assuming w is positive.\nAnswer: w**(-1619\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161878, 1297075, 4378330, 10378675, 20271142, 35028763?\nAnswer: 55624570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*l + m, 40*m = -l + 36*m + 14 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12395 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3564) + sqrt(3564)*-2 + 0)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14842312 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:45 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2. Let b(f) be the third derivative of -1\/10*f**5 + 0*f + 0*f**3 - 6 - f**2 + 0*f**4. What is n(b(a))?\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -8, 0.11, -1\/4, 5\/3 in descending order.\nAnswer: 5\/3, 0.11, -0.01, -1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -22.5. Which is the nearest to 4? (a) -2\/9 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/3)\/(100\/(-100)*2\/(-6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 + -2a9?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -170, 4, -2\/9, -3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 111334, 111300, 111244, 111166, 111066?\n\"Answer: -11*o**2 - o + 111346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -447740 less than -169061463?\nAnswer: -168613723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 + 0*w**3 - 2*w**3 + w)*(0*w - 5*w + 0*w).\nAnswer: -10*w**4 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 2. Let v = 10 + -16. Let a be (-12)\/(-18) - (-16)\/v. What is c(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 4*i + 4. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-9))\/(((-175)\/(-84))\/(-25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47367 * 1.44\nAnswer: -68208.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10250759 and 2.5.\nAnswer: 25626897.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 + 27*m**2 + 2 - 4 + 2. Let h(n) = 2*n**2. What is h(s(q))?\nAnswer: 1458*q**4 + 216*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 3*h = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at most -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axuxage. What is prob of picking 1 u, 1 g, and 2 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.017 - -5.103. Let p = d + -6.4. Round p to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-12) + 7)\/(6\/9). Solve b*y = 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + l**2 + 2*l. Let p be a(2). Let m = 1 - p. Suppose -4*c + m = -c. Solve -25 = 5*u, -c*k + 5*u + 16 = -9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/35 - 4\/(-14). Let w be z\/(0 - 4\/(-6)). Suppose u = -0*u + w. Solve x = u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357929189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u. Let k be (3 - u)\/(-2 + 5). Is k at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10695*i**3 - 62767*i**2.\nAnswer: -64170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 7*s**2 - 125 - 8*s**2 - s**2 - 47 to the form j*s + a*s**2 + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96586904 is divided by 4044.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g. Suppose -6*v + 5 = -19. Let u(b) be the third derivative of b**2 + 1\/12*b**v + 0*b**3 + 0 + 0*b. Determine u(d(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83333?\nAnswer: 167, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**3\/3 + 47*q**2\/2 + 1757*q. Let k(s) = 3*s. Calculate v(k(p)).\nAnswer: 6*p + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -472318514*d**3 - 530592239*d**2 wrt d?\nAnswer: -2833911084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -1833128642856.\nAnswer: -1833128642856.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bszp when four letters picked without replacement from srrrbzzrprrprrurup?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(-8\/19))**(-3\/25) assuming p is positive.\nAnswer: p**(48\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 18. What is the derivative of r*w + 3 + w + 1 - 3*w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8809004, 8809002, 8809000, 8808998, 8808996, 8808994?\nAnswer: 8808992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5879174 decades in centuries?\nAnswer: 0.05879174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.37 and -1.1?\nAnswer: -4.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Suppose x = -4*y + 1 - 2, -4*y = 2*x + 2. Suppose y = f - 2*f + 1. Which is the closest to f? (a) l (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z - 5000. What is z rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3. Let k = 15 - -3. Let p = k + -21. Let g(d) = d + 8. What is p*g(v) - 8*q(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10203000?\nAnswer: -10202330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5069.5 micrograms to milligrams.\nAnswer: 5.0695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v - 2*v)*(0 - 4 + 2)*(-31 + 12 + 10).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-420))\/(5\/(-5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.042 - -0.442. Which is the biggest value? (a) j (b) -5 (c) 2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233514 is divided by 714?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**3 - f**3 - f**3)*(-3*f + 3*f - 2*f - 15*f + f - 15*f + (0 + 2 - 3)*(-8*f + 35 - 35)) to the form u + j*f**3 + y*f**4 + q*f**2 + b*f and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 42. What is the closest to s in -4, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75029248829 + -1.08?\nAnswer: -75029248830.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14059692 and 209934?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3)*-5 + -1. Let p(f) = -f + j - 9*f**2 - 4 + 1. Calculate p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 2*z = 20 + 10, 4*h - 3604*z + 3600*z + 60 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*b = 303135, -26*b + 505223 = 5*j - 23*b. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15233803 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 5*f - 1 - 69*f**3.\nAnswer: -69*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 9) to base 13\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020262785376 to 5 decimal places.\nAnswer: -0.02026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/33 and 173\/1302?\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 51.4. Let r = -4 + h. What is the third smallest value in r, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-20) - 42\/(-8). Let j(x) = -x**2 + 4*x + 2. Let p be j(q). Is (4\/(-3))\/(p\/345) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**2. Let k(t) be the first derivative of 16*t**3\/3 - 244. Determine k(f(p)).\nAnswer: 1024*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31684*q**3 - 15977*q**3 - 15705*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/11)\/(85\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173051 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 53\/5 - (-3)\/(-5). What are the prime factors of 264\/s + (-6)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3209 - -182. List the prime factors of g.\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*c = -568*c + 248 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -6*k + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6022175, -12044350, -18066525, -24088700?\nAnswer: -30110875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30328138*k**3 - 33181186*k**2.\nAnswer: 181968828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31\/13 + -185\/143. Suppose 16*v + 63*v + 326 + 385 = 0. Is v greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3900265 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52550913*h**6 + 4*h**2 - 440.\nAnswer: -6306109560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4535802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1. Let v(s) = s**2 - 8. Let d = -39046 + 39047. What is d*v(c) - 3*x(c)?\nAnswer: c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 92 = -5*l. Let o = l - -147. Suppose 0 = -k + o + 114. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 12 = 0. Let l = c + 6. Calculate the least common multiple of l and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642610 is divided by 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.63 - -0.53. Let o = 0.4 + -0.3. Which is the nearest to t? (a) o (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)**(-7\/4)*(x\/x**(6\/5))\/x**(-2))\/(((x**(2\/3)*x)\/x)**(-38)*x**4\/(x*x**(-4\/5)\/x)) assuming x is positive.\nAnswer: x**(1135\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 29.9 (c) 64\/9 (d) -2\/47 (e) -4 (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 105792?\nAnswer: -5\/105792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 10*b - 18 = -30*b. Let x(o) = o**2 - o. Let y(t) = 3*t**3 + t**2 + t + 2. Determine b*x(p) - y(p).\nAnswer: -3*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - w + w)*(3 + 6 + 6) + 2*w - 2*w + w to p*w + l and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*n + 3*n + 0*n)*(2*n - 2*n + 2*n) + 7*n**2 + 22*n - 22*n - 97 + 97 + 11*n**2)*(1 - 5 + 2)*((-5*n + n + 2*n)*(2 + 0 - 4) - n - n - 3*n).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-18)*(-217)\/186\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166773 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 14855988*y\/5 + 27587547432018\/5.\nAnswer: 2*(y - 3713997)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2) + 0 + (45 - 0). Calculate the greatest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/6 + 3*x**2\/2 - 19*x. Does 4 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.1 - 10.2. Let w = m - -4.119. Let l = 0.018979 - w. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*(s*s**4)\/s*s*s*s**(-2\/7)*s**7\/s**(-1\/6) assuming s is positive.\nAnswer: s**(667\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.142, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6821970.446 to the nearest 1000.\nAnswer: 6822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - s + 21 = 4*s, 3*l + 3*s - 15 = 0. Let f(u) = 5*u**2 + 11*u - 40. Let a(i) = 9*i**2 + 21*i - 74. Let q(o) = 6*a(o) - 11*f(o). Calculate q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7*b - 8 = 5, 0 = -5*b - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = 5*z. Suppose 3482 = 8*s - s + 3433. Sort z, s, 4, 1 in ascending order.\nAnswer: z, 1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 926603.3mg?\nAnswer: 0.0009266033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2013432?\nAnswer: 2013424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 + 4*k - 4*k + 13*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 9*a**2 + 9*a - 5. Let i be v(8). Suppose i*z + z + 3*o = 396015, z - 99020 = -4*o. What is z rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d**2 + 289*d - 2815. Calculate m(-40).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.588 take away -16362?\nAnswer: 16212.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252)*2 - sqrt(252))*4 + -2 + sqrt(252) + -1 + sqrt(252))**2*-2.\nAnswer: -24714 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 2*x**2 + 3*x - 3. Determine n(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/57)\/(-64 + 156). Sort x, -2, -1\/6 in decreasing order.\nAnswer: x, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m. Let l be h(1). Let x(b) = -b + 0 - 2 + 3 + l*b. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72263 * -0.5.\nAnswer: -36131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-5\/4))\/(r**(-23)\/r*r))\/(r*(r*r*r*r**(-3\/5))\/r*r\/(r\/r**(15\/2))*r))**(-26\/3) assuming r is positive.\nAnswer: r**(-3731\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:16 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2951*253\nAnswer: -746603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(539)*-3*-4*1 + 0)**2.\nAnswer: 310464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464816 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -187, -1, -12, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1141588.9 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/5, 3, 1.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, v: 2, x: 4}. What is prob of picking 1 x and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-w**3 + w**3 + w**3) - 1987*w**2 - 60*w**3 + 1987*w**2 - 2*w**3 + 11*w**2 - 11*w**2.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 673\/4 + -166. Let a = -4\/2780221 + 87490774689\/27802210. Let m = a - 3143. Find the common denominator of j and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48982 times 148\nAnswer: 7249336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 359*g - 1789. What is u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715.0707 days in weeks?\nAnswer: 245.0101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5\/4 - 15*a**4\/4 + 57*a**3\/2 + 9*a**2\/2 - 351*a\/4 - 243\/4 = 0?\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/57*2*(-3)\/(-4). Suppose -o + m*o = 2*b + 155, -5*o = 3*b - 814. List the prime factors of o.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15277030575 - 2.\nAnswer: 15277030573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 593480 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9 - 46*h + 11 + 2. Let u be m(-1). Suppose 0 = 19*s - 14*s - u. Solve -5*p - 15 = s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + u**3 + 4*u**3)*(u - u - 10*u**2) + (-2 - 2*u**3 + 2)*(6*u**2 + 2*u - 2*u).\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 25 - (11 + (-8 - -1) + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 13*l**2 - 30*l**2 + 5*l**2 + 7*l**2 + 8*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 106*q**2 - 24*q + 8523. Determine p(-105).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.302813 millilitres in litres?\nAnswer: 0.009302813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 + (-3)\/5. Let v be (108\/(-15))\/(c\/5). Is 11 a factor of (-2)\/9 + 1196\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*w = 352*w. Sort w, 9, -1, 4 in ascending order.\nAnswer: -1, w, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1\/3 (c) 37\/87 (d) -4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 2.2. Which is the closest to 1? (a) v (b) 0.17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + (-863511)\/55. Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 25. Let l(t) = 0*t + t + t + 12 - t. Let y(w) = -3*b(w) + 7*l(w). What is y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.474 to 2 decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150822 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -479612 + 3?\nAnswer: -479609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - f - 8. Let z be ((-1)\/(-3))\/(2\/18). Let v be l(z). Calculate the highest common factor of v and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4216261494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -26. Let b be ((-4)\/k)\/((-2)\/(-20)). Suppose 5*m = 2*z + 22, -16 = -3*m - m + 2*z. Solve a = b*a - m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861095499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -401?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291686.8 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.014 - -0.014. Are -2\/5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -10 - 1*4. Which is the closest to j? (a) 1 (b) 2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i + 1 + 770*i**2 - 649*i**2 - 14*i wrt i.\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.4, -5, -0.1, 900, -11583?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -38*d**3 - 2. Let b(t) = 38*t**3 + 1. Give -6*b(a) - 5*k(a).\nAnswer: -38*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 3. Let v(s) = -7*s - 5. Suppose 5 = -h + 2. Calculate h*v(m) - 5*i(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fafaffffafaaaa. What is prob of picking 3 f?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {b: 1, z: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 501 = -8*t. Suppose 2*f = f + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1)\/u)\/(((u*u**12)\/u)\/u))\/(u*u\/(u**(-3)*u*u))**(-3\/11))**(-2\/5) assuming u is positive.\nAnswer: u**(246\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5310978 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113686 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {b: 1, i: 1, v: 1, l: 1, d: 1, j: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/12)*b)**(-43)*b**(-6\/7)\/b**(-9) assuming b is positive.\nAnswer: b**(-2627\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 783953643 to the nearest integer?\nAnswer: 27999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)\/t**(-13))\/((t*t*t**(-14))\/(t*t\/(t*t\/(t**(4\/5)*t)))) assuming t is positive.\nAnswer: t**(1226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1419 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. Let x = -3 + a. Which is smaller: x or 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 - 55)*(3*w - 3*w + w) in the form k + p*w and give p.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 2. Let n(j) = 5*j**2 + 1 - 1257*j + 1257*j. Give -4*n(r) - 3*p(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(13965\/(-756))*(-10)\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, q: 1, m: 2, v: 1}. What is prob of sequence bqb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 415.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 75*g - 71*g, 3*g + 9 = -3*q. Do 7 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 - 44?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltulltbttl. Give prob of picking 2 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2.7. What is the smallest value in -2\/13, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -62 - (-15 - (1 - (0 + (0 - 0)))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 19, 3, -17, -41?\n\"Answer: -2*y**2 - 6*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 64\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5612 - 33695\/6. Calculate the common denominator of a and 1034\/2296 + (-4)\/14.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*b**3 + 14*a*b - 405*a - 115418*b**3 wrt a?\nAnswer: b**3 + 14*b - 405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (851 + 1408*z**2 - 1408*z**2 - 851 + 79387*z**3)*(-2 + 2*z + 2)*(-5 + 4 + 0) as c + f*z**2 + o*z + a*z**3 + p*z**4 and give p.\nAnswer: -158774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2598 divide 21441294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-30)\/i*i)*i)\/(i**30*i))\/((i*i**6)\/((i\/(i**(-5)*i))\/i*i)) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -36. Let q(b) = -3*b + 3*b + 1 + b. What is the units digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*j - 165, v + 17 = j + 4*v. Solve -3*p - 4*u + j = 0, 20 = -0*u + 4*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/22 in 3, 99, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 80\/3. Factor 0*h + 0 - s*h**2 + 1\/3*h**3.\nAnswer: h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 10 = -5*d. Suppose 2*z - 4*z - 2*a = -2, 3*z - 2*a + d = 0. Suppose z*r = 5*u + 3*r - 379, -r = -4*u + 310. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = r - 7*r + i + 7, 0 = -2*r + 4*i - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - 221395492?\nAnswer: -221395535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/120 + 7*m**5\/20 + 11*m**4\/4 - 112*m**3\/3 + 1950*m**2. Solve t(k) = 0 for k.\nAnswer: -16, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2 + 2)*(-9*w**2 - 1 + 7*w**2 - 4).\nAnswer: -4*w**3 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 2 + 1)*(-3 + 3 + g)*(-6*g**2 + 0*g**2 + g**2).\nAnswer: -5*g**4 - 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4394 + 4394.1. Let l = 12 - 9. Which is the closest to -1? (a) -16 (b) h (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 822*h**2 + 5178*h - 847. Calculate k(199).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70475 divided by 25?\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.061 - -0.060999711. What is o rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12 and 25\/2948.\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 20\/(-16). Which is bigger: -1\/16 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -556 + 64?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.66 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/5 - 65114*p**4\/5 - 325472*p**3\/5 + 1562488*p**2\/5 - 52096*p - 2083328\/5 = 0.\nAnswer: -32552, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-48)\/6 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -349, -1246, -2999, -5896?\n\"Answer: -48*z**3 + 4*z**2 - 5*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -122?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20221.9846 - 20236. Let q = -14 - k. Round q to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**7\/210 - 3*y**5\/40 + y**3\/3 - 6. Let b(d) be the third derivative of a(d). Find the second derivative of b(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296630 is divided by 233.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from gaaaagga?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-6 + -7)) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*6\/24. What is the nearest to -0.1 in 2\/13, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94412014?\nAnswer: 2, 47206007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -387*g. Let b(a) = 72*a**2 + 2*a - 7. Calculate b(j(m)).\nAnswer: 10783368*m**2 - 774*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 51. Let s be (-18)\/y + 4*1\/(-5). Find the common denominator of 33*(845\/(-416) - 2\/s) and 75\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let m(w) = 2*w. Let r(j) = 5*a(j) + 3*m(j). Suppose -4 = -3*l + 8. Let i(z) = -z - 1. Let b be i(l). Determine r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29797, -119184, -268161, -476728?\nAnswer: -744885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/(-7)*18 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 21. Suppose 4*f = i - 19, 0 = 6*i - 2*i - 2*f - w. Suppose -2*j = i*j + 900. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3849273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*v**4 - 99*v**2 - 27695 wrt v?\nAnswer: -140*v**3 - 198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10*g + 2*j - 12 = 0, 5*g + 8*j - 21 = 27 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1265\/7 - -181. Suppose -4*u + 2*t + 32 = -3*t, -u - 2*t = 5. Which is the closest to p? (a) -0.2 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:33 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 1. Let n = -0.2 + a. Suppose -2*y - 5*y = 10*y. What is the third smallest value in n, y, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*j - 6, 674623*d + 2*j = 674626*d + 29 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1951.99998507 - 1952. Round r to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let j(z) = -z. Let p(x) = x**3 - 12*x**2 - 27*x - 42. Let s be p(20). Let o(i) = -1496*i. Let h(k) = s*j(k) - 2*o(k). Calculate y(h(g)).\nAnswer: -748*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**5\/5 + a**4 - a**3 - 2*a**2 + 4*a + 219. Factor c(b).\nAnswer: -(b - 2)**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9774331 - 13754331. Round k to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.43 + 3.3440800717?\nAnswer: 6.7740800717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2139858 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r + 112 + 65 - 1503 = 194 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -18 - 18\/(-1). Which is the third smallest value? (a) 5 (b) q (c) 2\/11 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8544 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z - 38*z - 34 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(52 + -103).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from {l: 6, s: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.6755 - 22.2?\nAnswer: 374.4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1*4*18\/((-504)\/7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*n - 3*y + 12, 13 = n + 5*y. Suppose 0 = -2*m + 3*t - 21, -3*m + m = 5*t + 45. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6170995 and 21565.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 + 3*s**2 + 3*s - 1. Let v(p) = -5*p**3 - 4*p**2 - 4*p + 2. Let l(f) = 10*f. Let a be l(2). Let b = 24 - a. Determine b*g(u) + 3*v(u).\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102546.\nAnswer: 2, 73, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 16*x + 2*s + 14, s = 3*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x**2 - 1 - 4*x**2 + 29*x**2 - 7*x**2.\nAnswer: 94*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 35 = -19*g. Suppose -g = -6*c + 7. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 527 = 5*i, -3*p = -3 + 6. Let z = 2109 - i. Suppose 0 = -7*v - z + 8044. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (-3 - (-4 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9939 = -5*g - 9679 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1*(0 + -2)). Let m(x) = -x + 2. Let f be m(b). Is f at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9480968 tonnes to nanograms.\nAnswer: 948096800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 3*d + 16. Let t be b(-6). Let n be 14\/(-21)*t*6. Let j(m) = -m**3 + 7*m**2 + 8*m + 10. Determine j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57904067100 rounded to the nearest 1000000?\nAnswer: -57904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8227768 is divided by 230.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 (base 12) in base 2?\nAnswer: -1101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, 6, -20, -7, -2 in decreasing order.\nAnswer: 211, 6, -2, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32135 - 32039 = 6*u + 6*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25881804.702 + 47861.298. Let o = -25929713.9999816 + r. Let c = 48 + o. Round c to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812 is divided by 810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -349?\nAnswer: -1\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -5 + 0 + sqrt(98) + 0))**2.\nAnswer: -504*sqrt(2) + 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*t - 28 = 0, -2*a + 2*t - 5*t + 21 = 0. Suppose 30 = 3*o + 2*d, 4*o - d - 51 = -0*d. Suppose 0*m + 2*m = o. Solve -3*n = a + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -19*z**3 - 2. Let j(p) = -104 + 53 - p + 0*p - 476*p**3 + p. Calculate -51*a(y) + 2*j(y).\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose y*b + 8*o - 5*o + 48 = 0, o + 26 = -2*b. Is (90\/75)\/((-2)\/b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*9 + 5 - -5. Solve -28 = q*l - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436336\/44891 + -36\/6413. Solve s*f - 16\/7 - 16\/7*f**2 = 0 for f.\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 25*a**2 - 26*a**2 + 53*a + 36*a**2.\nAnswer: -15*a**2 + 48*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179042 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 476217920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -272 - -276. Solve 2 = -f*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -0.4, 96\/503, -0.1, -2\/7, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (325*a - 767*a + 319*a)*(0 - 3 + 1)*(a**2 - 7*a**2 - a**2) as q*a**3 + x*a**2 + k + v*a and give q.\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-723)\/(-725) + (-2 - -1). Let h = -29733\/2900 - o. Calculate the common denominator of h and 63\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2172, 206, 0.4, 1\/2?\nAnswer: -2172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1 plus -19788?\nAnswer: -19796.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcwicivccvwwcvvq. What is prob of sequence wvq?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 129377259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*4\/(32\/4). Solve l*v - 12 = 0, 4*p - v = v - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752530.\nAnswer: 2, 3, 5, 7, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 - w + w - 3*w**2 - 2*w**5 + 3*w**2 + (4*w**4 - 3*w**4 - 8*w**4)*(-4*w + 3*w + 2*w).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 67188506?\nAnswer: -87345057.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjqxcdqdccxj. What is prob of picking 1 j, 1 x, 1 c, and 1 d?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s = 4*n - 14, -4*n = s - 3. Let i = s - 5. Suppose 10*q - 7*q - i = 0. Which is the second biggest value? (a) -2 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 386 + -391. Let j be 3\/1 - (-41)\/(-13). Let v = j + -9\/26. Put m, 0.4, v in descending order.\nAnswer: 0.4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + 2*a - 2. Let x(g) = g. Let f(h) = -2*h**2 - 27*h - 51. Let t be f(-11). Determine t*x(z) - s(z).\nAnswer: -5*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*m - 42, 5*o + 2*m = -145. Is o >= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216906*a - 216946*a - 1640 = 0 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((4\/(-1534))\/2). Let f = h - -16090\/21. Find the common denominator of f and -2 + (-166)\/(-18) + 26 + -7 + -22.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3116027 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -5 - 1*-3. Let f = z - -3. Suppose -4 = -o, -3*j - f + 88 = 4*o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 14. Let a(z) = 1052*z + 1109. Let m(g) = a(g) + 7*q(g). Differentiate m(c) wrt c.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296639 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 60, 104, 152, 204?\n\"Answer: 2*c**2 + 34*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1331) - 4*sqrt(1331)) + sqrt(1331) - sqrt(1331))**2 + -3*4*sqrt(1331))*-6.\nAnswer: -71898 + 1584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3571200, 3571296, 3571392?\nAnswer: 3571488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22768)\/(-48) + (-4)\/(-6). Let d = 826 - y. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64663.3 centuries?\nAnswer: 6466330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*n - 30*n + 19 - 17 - 4*n as i*n + l and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-8))\/(25\/(-20))*(-25)\/1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (-1 + -5) - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*u - 5*f + 6*f, 5*u = 3*f + 188. What is the remainder when 783\/4 + (-2)\/(-8) is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -4382.\nAnswer: -4380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 30*p**2 - 102*p + 610. Give q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**3 - 10*w**2 - 6*w + 1. Is x(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h = -57*h - 154693910. Let q = -15778786937\/510 + h. Let n = q - -7\/85. Find the common denominator of n and -51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -591 - -834. Let p = f - 167. Let l = -58 + p. Calculate the least common multiple of l and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - 7002.\nAnswer: -7001.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wok when three letters picked without replacement from kkxwwok?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7787\/3 + -2596. Which is the third smallest value? (a) -3 (b) -2\/15 (c) 1\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*a**2 + 1986*a**2 - 619*a**2 - 597*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4 + 240*b**3 + 5898*b**2 - 78260*b + 202800 = 0. What is b?\nAnswer: -65, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.83 + -2.83. Let j = -7 - -6.9. Which is the third biggest value? (a) j (b) -9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1106*l - 45. Let a be q(6). Let f = a + 10250. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60116379*o**5 + 1861*o**2 - 5917*o.\nAnswer: -3606982740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1164906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from szssszszszsszz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -2 (c) -113 (d) -1 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o + 0*o - 4*o - o + o - 3*o + (30 - 8 + 80)*(-3*o + o + o).\nAnswer: -103*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*w**3 + 2*w - 2*w - 82*w**3.\nAnswer: -178*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 48*y + 372. Let c be d(-8). What are the prime factors of (c\/(-8))\/(5\/650)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/1)\/(-3)*30\/(-75).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535081234.\nAnswer: 2, 37, 59, 351599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (-2 + sqrt(275) - sqrt(275)))*-4)**2.\nAnswer: 320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 4, e: 1, l: 1, z: 3, y: 1}. Give prob of sequence fme.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let d = -9.7 + 2.8. Let v = d - -7. Sort -1\/7, r, v in descending order.\nAnswer: v, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + t**4 + (4*t**3 + t**3 - 3*t**3)*(1 + 2*t - 1) + 11 + 1000*t**2 - 2*t**4 - 1000*t**2 as m*t**4 + g*t**3 + l*t + p + n*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 326883565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/840 - 5*g**4\/24 + 3*g**2. Let t(b) be the second derivative of r(b). Let l(q) = -2*q. Calculate t(l(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/6*(20 + -17) + 5)*-1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2928 + -0.3. Round a to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 8:54 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - 110000?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = k - 5*n, 3*k - n = -k + 16. Solve -30 = z + k*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 210697818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/a**31*a)\/(a**(1\/3)*a)*(a*a**(-2\/51))\/(a*a**(2\/37)) assuming a is positive.\nAnswer: a**(-51754\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 1)*(-29*h + 28*h - 39*h) as o + t*h and give t.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 623340521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014026 to 7 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.0991 + 4.0991. Let a(b) = -b - 2. Let v be a(2). Let i be v\/(-4 + 2 + 5). What is the fourth biggest value in 3, j, i, 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -277*p + 4214. What is c(16)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2. Let o be 94 + -70 - (-5 + 24). Solve p - 1 = -y + h, 2*y - 13 = -o*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/6 + y**3 + 8*y. Let v be 30\/(-8) - (-2)\/(-8). Calculate h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 261725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:20 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2760 + 2765. Suppose 70 + 6 = 2*u. Calculate the lowest common multiple of u and h.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 times -1?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -453\/5. Suppose -20*t + 30*t - 70 = 0. Suppose 4*q - t*q = 15. What is the nearest to 2\/5 in q, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 49 + 46 = 0. Solve -5*r + 23 = -c, r = 4*c - 2 - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*k**2 + 0 - 9*k**2 + 0 - 202*k - 28*k wrt k?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 - 2984*p**2 - 17*p - 197 wrt p?\nAnswer: 12*p - 5968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*y - 740899 + 1481791 - 740892.\nAnswer: -1164*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/13 + 8096*v\/13 = 0. Calculate v.\nAnswer: -4048, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 76, -0.2, 3, -0.5, 0, 33 in increasing order.\nAnswer: -0.5, -0.3, -0.2, 0, 3, 33, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3570804 days?\nAnswer: 30851746.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/181 - -1291\/2172. Let c = -3874 + 69781\/18. What is the common denominator of c and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4489840 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 52*q - 1690\/3.\nAnswer: -2*(q - 65)*(q - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1012*o**3 - 28*o**2 + 3*o + 1. Let n(k) = 1011*k**3 + 29*k**2 - 2*k. Let w(f) = 3*a(f) + 4*n(f). Let u be w(13). Round u to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56289 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b - 12125 = -114*b + 11749. Calculate the remainder when 807 is divided by b.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*j - 15*j - 334 = -45*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 1 + 0 - -1*sqrt(147)*-3)**2*4.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2990, 6092, 9194, 12296?\nAnswer: 15398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, n: 3, d: 1, y: 1, v: 2, x: 1}. Give prob of picking 1 f, 1 v, and 2 n.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/88 - 5\/4*1. Let m(a) = -2*a**2 + a + 1. Let x(u) = -5*u**2 - 4*u + 1. Let l(y) = g*m(y) + x(y). Calculate l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 31*i - 35)*(6 - 6 + 2*i) + (-2*i + 4*i - 4*i)*(-i + 0 + 0).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((16\/7)\/(-2))\/(72\/(-252)). Suppose -a + 2*a = c - d, -2*c + 13 = 3*a. Are a and -2\/115 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + 0*m**2)*(-2 - 3*m**2 + 2) + 0*m**4 - 4*m**4 + 3*m**4.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 156. Let s = 2 + -2. Let u be ((-1)\/(-6))\/(1\/(-2)). Put s, n, u in decreasing order.\nAnswer: n, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 0, 64 in descending order.\nAnswer: 64, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7445 and 388629.\nAnswer: 1943145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91545, -91544, -91543, -91542?\nAnswer: -91541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j - 3. Let u(n) = 4*n - 157*n**2 - 4 + 321*n**2 - n - 162*n**2. What is 5*s(x) - 4*u(x)?\nAnswer: -3*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*i + 3, -a = 2*i - 2 + 1. Which is bigger: a or -6\/37?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 6 - 32 + 2*f - 4 + 43 - 121*f**2 to k*f**3 + s + d*f**2 + b*f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 i when three letters picked without replacement from iiiiiiziifiiiipfw?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73.1731 + -73.14. Which is smaller: c or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*r - 1422 + 1709 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {j: 6, v: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h + 1. Let f(g) = 12*g**3 - 2*g**2 - 10*g + 8. What is -f(i) + 10*v(i)?\nAnswer: -2*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2819025 - 1746292. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21380 = -3560. Find the common denominator of -29\/2 and -3*-1*6\/d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3479*i**2 - 2546*i wrt i?\nAnswer: 6958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554 divided by -7261?\nAnswer: -1554\/7261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0 + 1694863?\nAnswer: 1694773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777*w = 988*w - 2787*w - 200256 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00826142 rounded to 5 dps?\nAnswer: -0.00826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146251632*s**3*y**2 - 8*s**2*y**2 - 3450*s**2 + 20*s*y**2 - 5*s - y**2 + 2*y wrt s?\nAnswer: -877509792*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 5*x + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1193 + 1226. Solve -2*l - d + 31 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g - 3. Let h(b) = -11*b - 4. Suppose 0 = -6*f + 11 + 7. Let y(u) = f*h(u) - 4*k(u). Let o be ((-18)\/15)\/((-1)\/5). Calculate y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 20 = -4*l. Suppose -5*w - 3*m - 2*m = -l, 0 = -2*w + 5*m + 9. Solve 3*g + w*t = -0 - 12, 2*g = 4*t + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024698 and -0.2?\nAnswer: 0.0049396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c**4 - 4*c**3 - 240*c**2 - 272*c + 64.\nAnswer: 4*(c - 4)*(c + 2)**2*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3224 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 677615700.58 and -589.\nAnswer: 677615111.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 779, 1682, 2919, 4658, 7067, 10314?\n\"Answer: 28*r**3 - r**2 + 710*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-12)\/(-2)*(-75)\/(-30))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 5*c**3\/3 + 605*c**2 + 73205*c - 222. Let t(o) = 0. Calculate o.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2215\/(-2215)*(-201)\/(-3).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/22, 0.1, -6\/5, -0.4, -64.5, 2, 4\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50624, -49386, -48146, -46904?\n\"Answer: a**2 + 1235*a - 51860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19216114.9 to the nearest 1000.\nAnswer: 19216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 3 (c) 0.1 (d) -2\/15 (e) -7856 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 19*j**2 - 51*j + 9. Calculate the remainder when r(-16) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 424 and 764?\nAnswer: 80984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84.03 and 12.811?\nAnswer: -1076.50833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -7*u**4\/24 - 2*u**3 + 2683*u**2. Let y(i) = -i. What is y(q(c))?\nAnswer: 7*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 173?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31934\/3 at most 10645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 7*g**2 + 19*g**2 + 7*g**2 + g.\nAnswer: 23*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -98, -109, -118, -125, -130, -133?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/4*2354\/(-3531). Let f(i) = 3*i**2 + 3*i. Let c be (1 + -5)*(-2)\/(-4). Let l be f(c). Sort s, l, 4, -5 in ascending order.\nAnswer: -5, s, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.3, 9, 0.06, 1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l\/((l\/(l\/((l*l**(2\/29))\/l*l)*l))\/l))*(l**(-1\/3)*l)**(-28) assuming l is positive.\nAnswer: l**(-1357\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*f**2 - 3*f + f**4 + 3*f**3 - 74*f**2 + 186*f**2 - 3*f**3 + 2*f**3 as v*f**4 + i*f**3 + k*f**2 + m + q*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 35*b**2 + 10*b**2 + 8*b**2 + 10*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-64988)\/2217399 - (128\/(-124) + 1)).\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18))\/(1*6\/(-204))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228870 is divided by 613910?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 13, 0 in decreasing order.\nAnswer: 13, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + 0.1. Let o = -11.995 + 12.5449. Let d = 0.0499 - o. What is the closest to k in 1, 3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 199*h - 207*h - 2 - 2 - 4*h**2 = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:53 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/33 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1224\/(-34))\/36*11*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:49 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/13)\/w)*w**(3\/8))**20 assuming w is positive.\nAnswer: w**(1155\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1) + -1 + 6. Suppose 0 = -t*n + 6*n - 50. Let c be 0 - (-2 - n\/(-24)). Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a. Let x(n) be the third derivative of -1\/24*n**4 + 0*n**3 + 3*n**2 + 0 + 0*n. What is t(x(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(-3))*10\/20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhr when three letters picked without replacement from {h: 12, r: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 2*z**4\/3 - 63*z + 36. Let k(t) = t**2 + 1. Let f(c) = 10*c**2 + 12. Let j(n) = -f(n) + 12*k(n). What is 26*j(b) - 6*m(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 - 6883*q**3\/3 - 47375689*q**2\/6.\nAnswer: -q**2*(q + 6883)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*i - 9 = -8*i, 5*i - 20 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*c + 19, -3*k + 81 = c + 2*c. Let t(g) = 13*g - 516. Calculate the remainder when t(43) is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3586 - 13209\/21648682. Let n = 619\/31647608 - 4060154048147\/573169828488. Let j = u - n. Find the common denominator of -21\/22 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 9*d**2 + 11*d + 40. What is f(-9)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-52)*6*20\/30.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23344 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l - 7*l + 2 + 0. Let a(q) = -q**2. Determine a(t(r)).\nAnswer: -256*r**2 + 64*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-1)\/(((-18)\/6)\/(-3))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47912 and 61924.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 9549582.2?\nAnswer: -9549586.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o - 14. Let b be r(10). Let u be 10\/(-55) - b\/(-682). Let q be 4\/16*(4 + 0). Does u = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 15\/4*z**3 + 5\/2*z + 0 - 5\/4*z**5 + 5\/4*z**4 - 25\/4*z**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1215500 and 7436.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*o + 3*o - 2*o)*(4*o**2 + 4*o**2 - 6*o**2) + (37*o**2 + 3*o - 3*o)*(-3 + 3 - 2*o) to g*o**3 + y*o + c + m*o**2 and give g.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 less than or equal to 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 + 14*k**3 + 8*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -3*t**5\/70 + 13*t**4\/42 - 16*t**3\/21 + 4*t**2\/7 + t. Determine i, given that n(i) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12\/227 (b) -0.6 (c) -4 (d) 0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + 1.79. Let x = 0.31 + g. Let r = -0.39981 + x. Round r to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2846 + 7547 = -3*g, -2*f + 10399 = 3*g. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3672 (base 8) to base 14\nAnswer: a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879639901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Let f(h) = -188*h - 141. Give -141*b(o) - f(o).\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -17*d**3 + 7*d + 13. Let a be i(-4). Let u = a + -764. List the prime factors of u.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24557 bigger than 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:14 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + 6443 - 13075 - 12*b**3 + 2*b**4 + 6390 in the form m*b**4 + f*b**3 + h + g*b**2 + v*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 555*y - 5435. What is n(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(5 + -17))\/(-2 + 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - (-3 + -4 - -22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 163*x**5\/60 - 2144*x**3\/3 + 9*x**2 + 3*x - 2. What is the derivative of a(n) wrt n?\nAnswer: 326*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 5. Let t(s) be the third derivative of 0 - 9*s**2 - s**3 + 1\/30*s**5 + 0*s**4 + 0*s. Suppose -5*w - 1 + 26 = 0. What is w*t(q) - 6*h(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 22*k - 59. Let p be l(19). What is the tens digit of p\/((-8)\/156) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 10. Let y be t(-13). Let a = 30 - y. Let i(o) = a*o - 21*o + 12*o. Let u(l) = 2*l**2. Determine u(i(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 27 - 13 + 10 - 12*b - 8*b. Let j(k) = k**2 - 60*k + 73. Let h(c) = 2*j(c) - 7*y(c). Factor h(l).\nAnswer: 2*(l - 1)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 + -2?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let v(u) = 56*u. Give n(v(r)).\nAnswer: -112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57\/9)\/(1 - 0). Let t = m + -7. Let c = 0.045 - 1.045. Sort t, -0.5, c.\nAnswer: c, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-14))\/((-913)\/(-6391))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -434, -1768, -4470, -9008, -15850, -25464?\nAnswer: -38318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 - r**2. Let b be p(1). Suppose -b = 5*s + 4*t, s + 6*t - 3*t = 5. Is ((-10)\/2)\/(s\/28) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, c: 3, s: 7, n: 3}. Give prob of picking 2 s and 1 a.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 - -1928\/9. What is the biggest value in -1\/6, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2) - ((sqrt(22) + (sqrt(22) + sqrt(352) - sqrt(22)) + sqrt(22))\/sqrt(11) + sqrt(2))) + -3)**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2365444*q**2 + 793608*q + 66564 = 0. Calculate q.\nAnswer: -129\/769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (164*4094\/18245)\/((-4)\/(-5))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 29*y = -3*g + 49, -2*g + 2*y = -28. Solve 18 = 3*m + g, -5*k = -m - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 14*h**2 - h + 16. Let t be d(14). Suppose -2*p - 1 = 5*r, 3*r - 4*r = p + t. Put -3, r, 0 in decreasing order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 + 15*m - 37. What is u(3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 200?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 18*b - 6. Let y(w) = w**3 - 9*w**2 + 2*w - 12. Let u be y(9). Is u < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 5*u + 4. Let v be (-1)\/11 + 1081\/517. Suppose -f = v*o - 46, 4*o + 36 = 4*f + 140. Calculate the lowest common multiple of o and q(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -f. Solve f = -0*r - 4*r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/42*(-12)\/18. Let t = 196.9 + -158.9. Let s = 2\/41 - 104\/451. Sort o, s, t.\nAnswer: o, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 a, and 1 y when four letters picked without replacement from yaeeeaayeeaeeeee.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 4)*(-3*o + 2*o + 2*o)*(-15 - 67 + 12)*(-2*o**2 + 0*o + 0*o)*(0 + 3 - 5)*(2*o - o + 0*o)*(-3 + 4 + 1).\nAnswer: -5040*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = 2*m + 2*m. Suppose 0*y + y = f - 20, 0 = 3*f + y - 72. Let h = f - m. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 4) in base 16?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1269216 less than -0.4?\nAnswer: 1269215.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -5.07. What is the second biggest value in 3\/7, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(162) + 1)*6 + sqrt(162))*3.\nAnswer: -945*sqrt(2) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (14 - 3 - 1) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 255784 or 255888?\nAnswer: 255888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bbosbobbsosbb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/39 (b) 0 (c) 83\/2 (d) -0.5 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/3 + -5 + 13\/3. Which is the fourth smallest value? (a) k (b) 7 (c) -7\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c**2 + 2*c**2 + 8*c**2.\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(sqrt(228) - (sqrt(228)*1 + sqrt(228) + sqrt(228)))*-3*-5)\/(sqrt(36)\/(sqrt(3) - (sqrt(243)*2 - sqrt(243)))*1).\nAnswer: -720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-15 - -4)*(-2231)\/1261?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c + 38 = -21*c. Solve 2*u = b - 3, 4*u = b - c*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1840, 1817, 1756, 1639, 1448, 1165, 772, 251?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/(-108) + 2\/(-8). Let g = 2.1 - 1.6. Which is the biggest value? (a) g (b) q (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 21*p + 350. Let u(w) = -5*w - 88. What is -2*d(q) - 9*u(q)?\nAnswer: 3*q + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y + 45. Let m(a) = a**2 + 9*a - 13. Let g be m(y). Which is smaller: -12 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = a. Let d = -9663 - -9665. Solve d*l - 4*n - 6 = 4, 0 = -a*n - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 315 - (240\/(-12) - -11). Suppose 0 = -3*d + 2*d. Suppose 4*z - 1 - 143 = d. What is the greatest common factor of z and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 175747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5427067.\nAnswer: 67, 81001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-14)*(-40)\/(-160)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46051 and 0.2?\nAnswer: -9210.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 542*j - 5. Let g(k) = 4*k**2 - 2164*k + 18. Calculate 3*g(s) + 11*l(s).\nAnswer: s**2 - 530*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 4. Let m be (1 - 1)*1\/(-2). Suppose -5*w + w = m. Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(48))**2*4 - (sqrt(243) + (sqrt(243) + 1)**2 + -2).\nAnswer: -14 + 69*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1\/11, 0.5, -0.165, 397, 1?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 i when four letters picked without replacement from iiiqiqiiiiiiihiiiqii?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 28. Calculate b(-13).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 54310.06 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122 + 2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 - (-9 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 42.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 399 = -3*t, -3*t - 2*t + 661 = -2*n. Let p = t + -127. Which is the nearest to p? (a) 5 (b) 8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 52041 = -52046 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z + 8*z + 20*z)*(-15*z**2 - 17*z**2 - 12*z**2).\nAnswer: -1628*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -63*x + 60*x - 7*g + 56*g, 0 = -4*g - 20 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730365 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*j + 4 + 86*j - 88*j + 15 - 19.\nAnswer: -161*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, 8, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181136\/10 + -1 - 296\/(-740) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -386 in decreasing order.\nAnswer: 9, -3, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (11 - (7 + -3 + 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 27. Solve 0 = -q + 5*g + 23, 3*q + 3*g = -0*q - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 558 = 90. Suppose -2*o = -3*j + 205 - y, -4*j = 4*o - 248. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5 - 2. Let s be (16\/(-40))\/(h\/5). Solve 2*q - 2*i = s, -5*q + 4*i = 2*i + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 4 (c) 2\/19 (d) 0.1 (e) 62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*n - 332 = 0, 3*d + 365 - 1317 = -5*n. Calculate the lowest common multiple of d and 14.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2560 + 2523. Is -0.198 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 54*r + 152. What is y(14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295004, -590016, -885030, -1180046, -1475064, -1770084, -2065106?\nAnswer: -2360130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 778948?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2. Let s(v) be the third derivative of v**5\/120 - v**3\/2 + 3*v**2. Let k(n) be the first derivative of s(n). Calculate f(k(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 3. Let w(s) = -8*s - 5. Let u(h) = -5*f(h) - 3*w(h). Suppose 0*v = v. Let j(x) = -23*x**2 + 0*x + 21*x**2 + v*x. What is u(j(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/30 - 17*g**3\/6 + 15*g**2. Let w be y(-4). List the prime factors of (475\/w)\/(2*3\/18).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 151, 226, 303?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 955 + -658. What is the third derivative of -3*h**2 + 2*h**2 - 302*h**6 + d*h**6 wrt h?\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q - 3. Let b(p) = -p + 1. Let m = 2886 - 2888. Calculate m*x(w) - 6*b(w).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 6*d**2 + 17*d + 13. Let t be v(-8). Let m = 0 + 5. Solve -t*f + 4 = 3*p - 18, 5*f = m*p + 30 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787619 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/23, -2\/7, -0.3, -996.8, -0.9, -1\/3?\nAnswer: -996.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 - 2*s**3 - 3*s**3 + (-58*s + 19*s - 16*s)*(2*s**2 + 2*s**2 - 2*s**2) + 3*s**3 + 4*s**3 - 2*s**3.\nAnswer: -106*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hphpphhhpphhphph.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 25. Suppose -3*f = -4*f + 2*x + n, 3*x - 58 = -5*f. Suppose -10 = -9*q + 7*q. Solve 4*c - f = -q*h, -3 = 2*c + 2*h - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9124 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1274 + 1883. Let g = f - 6001\/10. Find the common denominator of 51\/14 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + f - 2*f)*(2*f**3 + 3 - 3) + (-1 - 2 + 1)*(378*f**4 - 1340*f**4 - 896*f**4) in the form y*f**3 + x*f**4 + h*f + u*f**2 + z and give x.\nAnswer: 3720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 + -217. Let g = -24 + 29. Which is the second biggest value? (a) i (b) g (c) 2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 109 + 5 = 0. Calculate the remainder when l is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and 62\/145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 - 3 = -2*b, -2*b - 4 = -2*c. Calculate the lowest common multiple of 16 and (-32)\/b*(-6)\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 2)*(0*g**3 + 0*g**3 - g**3) - 2*g**3 + 4*g - 4*g + (0 - g**2 + 0)*(-10*g - 80*g - 7*g).\nAnswer: 88*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9*18\/(-243)*(-6)\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, 2\/15, 1\/2, 14, -3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*t + 208 = 0, -5*r - t + 89 = -115. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -632, -628, -626, -632, -652?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)\/(1 + 189\/(-42))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j. Suppose -4*i + 299 = -101. Let w(t) = 30*t - i*t + 31*t + 28*t. What is w(g(x))?\nAnswer: -77*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 555361 - 2114?\nAnswer: 553244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 1. Let g be r(2). Let n(u) = u**2 + 2*u - 6. Let x be n(g). Is 15 a factor of (-25)\/((-1)\/x*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 r when four letters picked without replacement from {n: 2, x: 2, r: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6357*b**3 - 12*b**2 + 4875*b + 12. Let j(g) = 3*g**3 - g**2 + 4*g + 1. Let a(t) = i(t) - 12*j(t). What is the second derivative of a(n) wrt n?\nAnswer: 37926*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/50 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -19.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 4:30 AM?\nAnswer: 523","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 11531*d + 9. Let v(a) = -15*a. Calculate c(v(j)).\nAnswer: 450*j**2 + 172965*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 18*q - 281. Let g be d(17). Solve 18*z + g = 23*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 11) in base 5?\nAnswer: -2104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.105222 and -0.59142.\nAnswer: -0.486198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-315)\/(-12) + 3\/4. Solve 0 = -15*o - 33 - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 18. Let p = s + -4. Which is smaller: 3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4 + 1656*m**3 + 3303*m**2 + 1650*m = 0?\nAnswer: -550, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24278128 and 17900?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12 + 0)*(126*a + 130*a - 253*a - 1).\nAnswer: 42*a - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(77) + sqrt(77)*2))\/(sqrt(1331)*2 + sqrt(11) + sqrt(11)))**2 + 4.\nAnswer: 71\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/27)*j)**14)**(-6\/7) assuming j is positive.\nAnswer: j**(-116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*c + 3 + 52*c + 6*c**4 + (-3*c + 0*c + 4*c)*(1 - 2*c**3 - 1).\nAnswer: 4*c**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97302047 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154420 = 1090*j + 1116*j for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/3 + 160*v**4 - 7680*v**3 + 184320*v**2 - 2211840*v + 10616832 = 0. Calculate v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x - 88. Let w be u(11). Solve 12*s - 10*s - 8 = w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 170. Suppose 4*l - p = -44. Calculate the remainder when 132 is divided by (-15)\/((-30)\/l + 3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 58, 121, 188, 259?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*w - 8, -2*i - 3*w - 12 = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 411 + 102331405?\nAnswer: 102332220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 15*i + 441 = 140 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1409 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z = 0. Suppose -3*w - 1 - 5 = z. Let v(l) = -l - 2*l + 1 + l. What is v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/59, -2\/9, -0.1, 1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325250 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 38*q**2. Let w(n) = -n**2. Give d(w(y)).\nAnswer: 38*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -785, -5, 1\/3, 3, -3\/4 in increasing order.\nAnswer: -785, -5, -3\/4, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t**5 + 7*t**4 - 4*t**2. Let g(n) = 8*n**5 - 5*n**4 + 3*n**2. Let f(u) = -7*g(u) - 5*i(u). Find the third derivative of f(v) wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.017959, -1\/7, 5, 1\/2.\nAnswer: -1\/7, 0.017959, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166*r = -1158*r - 188936. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**3 + 8210927*c - 119089521.\nAnswer: 12*c**2 + 8210927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1468869 divided by 489623\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000279145 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 3*z - 2*z - 2*z - 2*z + 6*z + (z + 2 - 2)*(-1 + 3 + 0) + 2*z + 3*z - 4*z - 90*z + 161*z + 7*z.\nAnswer: 82*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {m: 4, i: 2, q: 3, p: 4, u: 1}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (111\/(-27) + 4)*0. Let n(a) be the third derivative of 0*a + 0*a**4 + 5\/6*a**3 + 6*a**2 + 0*a**5 - 1\/12*a**6 + p. What is the derivative of n(m) wrt m?\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let i(f) be the first derivative of f**5\/60 - f**4\/4 - f**3\/3 + 5*f**2 - 8. Let n(s) be the second derivative of i(s). Determine -4*b(x) + n(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5378*r - 10756*r + 5409*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19560 and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -310. Let t = y - -682\/3. Put 0, -45, t in ascending order.\nAnswer: -45, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 0, 0.56, 41\/2, 5.\nAnswer: 0, 0.56, 2.6, 5, 41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*n + 2*u, -4*u + 17 = 3*n - 3*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 3, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99384 divided by 4.\nAnswer: 24846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-1)\/2)\/((-6)\/2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 4, i: 6, m: 3, b: 2}. What is prob of sequence ipbp?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 156 - -1*(-14 + -1). Solve 14*c + 33*c = -r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:40 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3168875*c**4 - 43359*c - 11 wrt c.\nAnswer: 38026500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*k - 86, 379*k = 4*y + 384*k + 89 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 8 - 7 - -12) + -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.5. Let j = 11 + -11. Let k = 0.11 + -4.11. What is the closest to -2\/5 in j, b, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1 + 4*x + x - x**2 - 2. Let l be c(3). Suppose -3*h = l*d - 5 - 1, 4*h - 12 = 0. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a**3)*(-11607*a + 31044136 - 31044136).\nAnswer: 23214*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x - 7. Let p be (4\/8*-10)\/(-1). Give g(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/86881 (b) 4 (c) -2\/23 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3)*(6*p - 9*p - 9*p)*(4 + p - 4) to the form u*p**2 + n*p + h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-6)\/2 - -1. Suppose 0 = -2*w, w + 5 = z - o*w. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 2 = 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -7 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*-3*-3)*-1 + (-5 + (sqrt(1377) + -4)**2)*-6.\nAnswer: -8328 + 342*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 7. Let t be c(-5). Suppose -4*j + t = -3. Suppose 4*k - 370008 = j*a - 0*k, 6 = 3*k. What is a rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 12. Let t(o) = 1 - 22*o + 11*o + 10*o. What is -s(l) + 6*t(l)?\nAnswer: -2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 2:45 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5622 + 5691 + (-3 - -2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from xllwjwjx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -1, -1953, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243111650?\nAnswer: 2, 5, 19, 255907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20202, 40484, 60768, 81054, 101342, 121632?\n\"Answer: b**2 + 20279*b - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10423*a + 10423*a - 19*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 - 13*z**2 - 6*z + 20\/3*z**3 + 11\/12*z**4 + 1\/60*z**6 - 4\/15*z**5. Factor x(r).\nAnswer: 2*(r - 5)*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 457 and 1023680.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 8*y + 11. Let b be c(-5). Let d = 81 + b. Calculate the least common multiple of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 18. Let k be l(-5). Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 6, d: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x = 13 - 181 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/12 - 5*c**4\/6 - 20*c**2. Let i(j) = 0. What is j?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 9*r**2 + 8*r + 11. Let b be 54\/(-36) + 178\/4. Suppose -b = -12*y + 77. Calculate f(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + c**3 + 4 - 8 + 5*c**2 - 3*c - c. Let o(p) = p**3 + 7*p**2 - 8*p + 4. Let r be o(-8). Calculate u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 119*m + 20. Let h be a(8). Suppose -q - 573 = -4*t + h, 1935 = 5*t - 5*q. Suppose -4*s + p = -762, 3*s = s - 2*p + t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1080)\/(-11) + 4\/(-22). Is 23 a factor of (i\/(-42))\/(1\/(-69))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 38*m - 72 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -363924 - 0\nAnswer: -363924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z - 102. Suppose -3*d = 2*d - 25. Calculate the remainder when h(9) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 2*w - 3. Let c be s(-4). Let z = 32365\/22 + -1474. Calculate the common denominator of (0 + 3*c)\/10 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d - 60 = -4*i, -2*d = 0. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13044033 (base 5) in base 13?\nAnswer: 46367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c + 0*c - c)*(2*c**2 + 2*c**3 - 2*c**2) - 30*c**4 - 6*c**4 + 5*c**4 + c**4 + 4 - 4)*(-6*c + 4*c + 4*c).\nAnswer: -44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5130442 - 5?\nAnswer: -5130451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46593 is divided by 495.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23912 divided by 4\nAnswer: -5978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 691 - 689. Let o(c) be the first derivative of -c**2\/2 + 2*c + 2. What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let m be -8*p\/(-6)*-6. Let b be (-3)\/(-12)*-2*m. Calculate the highest common factor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from zkekzkzzz.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*12\/3312)\/(-1).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*r + 1129*r - 132 = 3*d, 3*r - 4*d - 100 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)\/((q*q*q**(-6\/11))\/q) assuming q is positive.\nAnswer: q**(-115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23899.3 rounded to the nearest 100?\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 12*i - 33 - 3*i + 23*i.\nAnswer: 21*i - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:59 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/8 + 7*q**3\/2 + 30*q**2 + 50*q + 9. Factor l(f).\nAnswer: (f + 1)*(f + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - 4*c)*(5*c + 0*c - 2*c) + (-5 + 4 + 0)*(2*c - 2*c - 4*c**2).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 320 in increasing order.\nAnswer: -3, -1, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Suppose 4*h - t - 2*t - 285 = a, -4*t = -4. Factor 24*l + 3*l**2 - 6*l**2 + 24 - h.\nAnswer: -3*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/405)\/((-4)\/80*-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 12510\nAnswer: 71\/12510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15987 - 639447\/40. Calculate the common denominator of m and -39\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let v(q) be the third derivative of -2*q**2 - 1\/24*q**4 + 0 + 0*q**3 + 0*q. Determine v(x(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 56*a**2 + 767*a - 30. What is v(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*q - 20 = 0, 11*g = 7*g - q - 4. Suppose 0 = -5*v - 2*z + 13, 4*v + 0*v + 4*z = 20. Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 68, 605, 2120, 5117, 10100, 17573, 28040?\n\"Answer: 84*d**3 - 15*d**2 - 6*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 233?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 45*a - 3. Let x be p(7). Suppose -3*n + x = -147. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 387579, 387581, 387585, 387591, 387599, 387609, 387621?\n\"Answer: w**2 - w + 387579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**48*m**(-1\/9)*m*m\/(m*(m\/(m*m\/m**6))\/m))**(-1\/29) assuming m is positive.\nAnswer: m**(244\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/42)\/(1\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*u - 16, -2*x + 7*x - 26 = -3*u. Let g(l) = 86*l + 538. Let f be g(-3). Suppose x*y - f = -16. What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -385088065 >= -385088063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*v - 80 = -529*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(2 - (-6)\/(-9)). Let a = w - -7. Solve 5*v + 2 = a*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 5118?\nAnswer: 5117.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*u = 35, -h + 51*u - 52*u = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/((-10)\/2) - 8524847\/(-112465)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 - 3*u**2 + 13*u + 133. Let m(c) = -4*c**3 - 6*c - 66. Let p(g) = -3*a(g) - 5*m(g). Let w(s) = 2*s**2 - 2*s - 17. Calculate -2*p(f) + 9*w(f).\nAnswer: 2*f**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d + 41*d = -67780. Suppose -d = -3*x - 1501. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.1212 and 6?\nAnswer: -30.7272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002771 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3))**9\/((g*(g*g*g*g*g\/(g*(g*g**(2\/15))\/g)*g*g)\/g)\/g)**(1\/14) assuming g is positive.\nAnswer: g**(2447\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2142627 to the nearest 1000.\nAnswer: -2143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 20. Let y be t(8). Suppose 2*r = -2*r + y. Solve -r*s = -0*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-240))\/((-5)\/(-45))*(324\/63)\/(-6)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-210)\/8)\/(-7)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3438*0.377\nAnswer: 1.2606126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 6, 2\/3, 1\/3 in increasing order.\nAnswer: -3\/5, 1\/3, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skku when four letters picked without replacement from ukuuukskuukuuuuuku.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o - 9 - 39. Suppose -2*w + 0*x - 79400000 = x, -o*x + 39700000 = -w. Round w to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u - 10*u - 5*u**2 + 0*u**2 - 24*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/4 - 5795*l**2\/4 + 2077712*l + 61478144 = 0. What is l?\nAnswer: -29, 2912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79414*y**3 + 79415*y**3 + 330006*y**2 - 165003*y**2 - 165003*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -966*h + 5839. Give f(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 28 - 28. Let n(o) = -7*o. Calculate n(v(u)).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 67 - 86 + x**2)*(-58*x**2 + 37*x**2 - 42*x**2).\nAnswer: 189*x**4 + 1197*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-88)*4 + (-1849)\/(-2). Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - (-1 - 12 - (49 - (-32 - -85)))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*t - 3372347 = -987*t + 486*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10874, 9 in decreasing order.\nAnswer: 10874, 9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 308136.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -25, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 558.5 + -556.5. What is the fifth biggest value in k, 0.06, -3, -5, 1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 2103843*i. Let h(q) = -10*q. What is u(h(o))?\nAnswer: -300*o**2 - 21038430*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*w - 2*w. Let q = 12.2 + -16.2. Sort q, -0.5, w, -2 in descending order.\nAnswer: w, -0.5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2608744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 7*i + 9. Let r be l(-5). Let g(d) = -3*d + 2. Let z be g(r). Suppose -15 = -0*a - z*a. Solve -t - a = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(10\/3))\/z)\/(z*(z**2*z)\/z))\/(z**(-2\/35)\/z**16))**(9\/8) assuming z is positive.\nAnswer: z**(5163\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, c: 5}. Give prob of sequence cc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/133 and -109\/8208.\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.02 + -30.02. What is the nearest to -0.1 in 0.5, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 74 + 1 + -4 - -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67298.\nAnswer: 2, 7, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 5*p, -6*p = -4*p - 10. Let d(r) be the third derivative of r**5\/60 + r**4\/24 + 529*r**3\/6 - 620*r**2. Is d(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-66))\/((-5)\/(-120))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3024.9 + 3016.9. Which is the fourth biggest value? (a) -3\/2 (b) 11 (c) 0.03 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 103, 2, -3.7, 0.4 in ascending order.\nAnswer: -21, -3.7, 0.4, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1091707 divided by -6.\nAnswer: 1091707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10836*b**3*k*q**2 - 2*b**3 - 153429*b**2*k - b*k*q**2 - q - 3 wrt q.\nAnswer: -21672*b**3*k - 2*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 6)*(-6*g**2 + g - g) - 2*g**2 - 5*g**2 + 2*g**2)*(0 - 1 + 2).\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58463.\nAnswer: 17, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 9)*7\/14. Which is the closest to 2\/7? (a) -4 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(66\/(-4)))\/(2\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 9. Let q(k) be the second derivative of 0 - 1\/6*k**3 - 5*k + 0*k**2. Give q(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) 0.3 (c) -5 (d) 0 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g + 104 - 104 + (7 - 3 - 2)*(-4 + 4 + 2*g) - 4*g + 5*g + g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -63*((-16)\/(-12))\/(-2). Suppose 5*j = 2*j - c. Let b(q) = -q**3 - 14*q**2 - 5*q. Let n be b(j). What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 2*q - 2*q**3 - 8*q**2 + q**4 - q + 33 as z + i*q**4 + s*q**3 + l*q + w*q**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 + -274. Find j, given that 0 + 9\/4*j**3 + 3\/4*j**v + 0*j + 3\/4*j**2 + 9\/4*j**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18\/7, 0.021, -0.1, -4, 13.2, -0.18?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, c: 1, k: 1, u: 1, p: 1}. What is prob of picking 1 j and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 4 - 4 + 3 - 5. Let i be g(8). What is the units digit of i*(0 + (-3)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 906*t**2\/7 - 4*t\/7 = 0.\nAnswer: 0, 2\/453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v. Let u(h) = -53*h**2 - 15*h + 36. Let d(m) = -318*m**2 - 85*m + 204. Let q(b) = 6*d(b) - 34*u(b). Give q(t(c)).\nAnswer: -15264*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3663, -3355, -3051, -2757, -2479, -2223, -1995?\nAnswer: -1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1 - 1 + 0 - 1 + (-1 + 0 + 0)*(1 + 3 - 6) + 2 + 2 - 6 + 47 - 31 + 13)*(0*d + 3*d - 2*d).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7886 > 205045\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from zbqzeqqzqzzqbqjqzz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9524.806 milligrams?\nAnswer: 9.524806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1622 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k**2 - 5*k + 5. Calculate h(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1845 or 18461\/10?\nAnswer: 18461\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172345 is divided by 258.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 5\/24*h**4 + 0*h + 17\/336*h**8 + 0 + 0*h**7 + 0*h**6 + 0*h**5 + 2*h**2 + 0*h**3. Find the second derivative of j(s) wrt s.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 743 = 809 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - t**2)*(28 - 14 - 31 + (-1 + 3 - 1)*(-4 + 4 - 1)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(119\/(-14))\/(-17)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k = 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025583 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29093.\nAnswer: 47, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 533\/(-102) + 8 + -4. Let m = n + -1909\/204. Find the common denominator of 87\/20 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*i = 32, -i + 3 = 2*j - 1. Let t be (-1)\/j + 205\/20. Let r(c) = 10 - t - 2*c**2. Let w(l) = l. Determine w(r(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132352 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 3*s + 2. Suppose 4 = -3*r + 4*v, 0 = 5*r - 2*v - 2*v - 4. What is q(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -5, 1 in increasing order.\nAnswer: -5, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 176363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -96\/13 (b) -9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -19. Let i(k) = 43*k**2 + 3*k - 1. Let f be i(a). Let l = f + -62197\/10. Calculate the common denominator of l and -8\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 3*g + 3*g)*(3398*g - 3398*g - 133*g**2)*(2 + 4 - 5).\nAnswer: 266*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 = 20*l + 196 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 - b**2 - b + 1. Let y be k(1). Suppose -p - 34 = 5*o, -y*p - 2*o - 2*o = 216. Let v = p - -100. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 322968 - 322968 + 229*t as x*t + n and give x.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 2*m. Let v = 5 - -13. Solve -3*q + 4*b = -b + v, 2*b = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f**4 - 26*f**4 - 3*f**2 - f**2 + 2*f to the form d*f**4 + j*f + s*f**2 + l*f**3 + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 733619053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s**2. Suppose 5 = -4*i - 3*w + 28, 2*i - w + 1 = 0. Let u be i\/(-7) - 46\/(-14). Let a(x) = 2*x + u - 3. What is a(n(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/789, 1\/5, -0.09, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70\/117 - -4919\/2925. Find the common denominator of 121\/50 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-136350)\/36)\/15)\/10*6\/(-9)*6?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4265\/2 + 2132. What is the third smallest value in t, 2, -0.62?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, h: 3, o: 2, q: 2}. Give prob of sequence oqq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 19*s - 20. What is t(17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Let s be (0 + t)\/(6\/6). Suppose -s*i + 12 = -30. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40274 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 62*r - 23. Let i(u) = -21*u + 8. Determine 17*i(f) + 6*m(f).\nAnswer: 15*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -211 (b) 0.3 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -40*f - 58. Let b be m(-5). Let l = 147 - b. Solve -l*p + 8*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37970 + -20487. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8321 and 583.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 178245 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 4*i - 4*i)*(9*i**2 + 7*i**2 - 11*i**2) + 0 + 0 - 7*i**4 + (5*i**2 - i**2 - 2*i**2)*(-2*i**2 + 0*i**2 + 0*i**2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Suppose -5*y + 0*y + 5*t = -95, 0 = 3*y + 5*t - 49. Let o(p) = y*p**2 + 2*p**2 - 3*p**2. Give i(o(s)).\nAnswer: -289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (79 - 84).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334475.2 nanometers to meters.\nAnswer: 0.0003344752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 518758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230768697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3747 - 2411. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1247453, -1247458, -1247463, -1247468, -1247473?\n\"Answer: -5*w - 1247448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-55)\/65 + 0). Let k = -117.9 + 113.9. Which is the nearest to k? (a) 2\/3 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.1 - -52.1. Which is the closest to -0.1? (a) -28 (b) n (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*l - 7, 4*u - 3*u - 5*l = -11. Suppose -3*s + 1 = -u*d, 4*d - 6*s + 7 = -s. Let q(m) = -m**2 + 4 - 1 + 6*m - 8*m - d*m. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9984 = -16*u + 32*u. Let s be (2 + u\/8)*(-9)\/4. What is the highest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {o: 6, q: 13}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u + 10. Calculate i(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -36*i**4 + 56*i**3 + 373. What is the third derivative of q(m) wrt m?\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*s - 22*s = 366 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-34))\/(7\/119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/655? (a) -0.4 (b) -1 (c) 4 (d) -4\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*y + 12 = 0, o + 0*y - 20 = -5*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -20 + -3 + -4 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u**2 + 25*u - 18. Let h(i) = 28*i**2 - 63*i + 46. Let x(a) = 13*f(a) + 5*h(a). Let b(d) = d**2 + d + 1. Determine -4*b(w) - x(w).\nAnswer: -w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/2)*f**(2\/7)*f**(3\/4)*f**(-5)\/f)**(1\/61))**(-26) assuming f is positive.\nAnswer: f**(2717\/854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29170647 and 52371?\nAnswer: 29170647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 105058*u\/5 + 2759295841\/5.\nAnswer: (u + 52529)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**5\/30 + c**3\/3 + 3*c - 1. Let k(i) be the first derivative of n(i). Let l(x) be the second derivative of k(x). Give l(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t - 6. Let h(l) = -6*l - 5. Let z(v) = -5*c(v) + 6*h(v). Let x(u) = 7*u + u - 2*u. Calculate z(x(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 - y + 7. Let o be b(4). Let p be 3\/(o + 16\/(-6)). Let d = p + -3. What is the lowest common multiple of 22 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 165*r**3 + 3*r**2 - 1. What is z(1)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 43381 * 8752\nAnswer: 379670512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from wzczmvllcvlwwzw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 - 7988*z + 31982. What is h(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 - 1\/2*l**3 - 1\/4*l**4 - 1\/20*l**5 + 14*l**2 + 0*l. Let x(z) = -z**2 - 2*z - 1. Determine -3*m(t) + 8*x(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 63. Suppose v - 5*l = -17, 5*l - 2 = 3*v + 19. Put v, p, -1 in increasing order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2284595*p + 2284578. Calculate b(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125988*p**2 + 7*p + 1779?\nAnswer: -251976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2*p + 3. Let g be f(-5). Let u = g - -55. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -25) + (2 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2507*m - 8381. What is the units digit of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 10) in base 3?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32*o**2 - 3*o - 2. Let s be y(-1). Let c = -27 - -14. Let g = s + c. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/49)\/(1\/112*8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/2131908 and 91\/2131908.\nAnswer: 2131908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151254 (base 7) to base 15.\nAnswer: 2d811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/166 and 79\/332.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4425*r**3 + 729 - 729 + 507*r**3)*(-2 + r + 2) in the form i*r**2 + n*r**4 + j*r**3 + a*r + p and give n.\nAnswer: -3918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4806 to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8, 3, -1493 in descending order.\nAnswer: 16, 8, 3, -1493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/223416 and 55\/609.\nAnswer: 1563912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (-1*(2*sqrt(26)*-1 + sqrt(26))\/(sqrt(24)\/(sqrt(12)*-2)))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/20 - 3*l**4\/4 - 13*l**3\/6 + 6*l**2 - 694*l. Calculate i(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 1510919*s**3 - 2*s**2 + 6*s**2.\nAnswer: 1510919*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27223 is divided by 6612?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/116 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 65, 100, 135, 170, 205?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 735*h**2*l + 781*h**2 - 3*h*l + 5*h + 2*l with respect to l.\nAnswer: 735*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**(-5))\/o)**(27\/4)*((o*o\/(o\/(o\/(o**(6\/11)\/o))))\/o)\/(o**(-21)\/o*o))**(-32) assuming o is positive.\nAnswer: o**(-22160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3857 (base 9) to base 14\nAnswer: -10a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let c(j) be the third derivative of j**6\/360 + j**3\/2 + 2*j**2. Let d(t) be the first derivative of c(t). Calculate k(d(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25443*m + 1607889 = -300336 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139861 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8295 to 1 dp.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 288345113317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 800, 837, 908, 1013, 1152, 1325, 1532?\n\"Answer: 17*r**2 - 14*r + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254686 - 764053\/3. Find h, given that -r*h - 1\/6*h**2 - 25\/6 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = 3. Let b be -1 + -10*1\/n. Calculate the remainder when (6\/b)\/(12\/256) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 7 in ascending order.\nAnswer: -9, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*s**2 - 143*s**2 - 1 + 1552*s - 109*s**2 + 2 to n*s + o*s**2 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = 2089772. Let j = m - -2220430. Let t = j + -697987. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -7*q - 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (4 - (335 + -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -49\nAnswer: 195\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*z = c - 4, z + 10 = 3*c. Suppose 25*o + 600 = 30*o - 5*l, -c*o = -2*l - 480. Calculate the highest common divisor of 72 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x = -0*d - 2*d + 8. Suppose -8\/3 - 1\/3*q**3 - 2*q**2 - d*q = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.786776 minutes to milliseconds.\nAnswer: 227206.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 401055, 401054, 401053?\n\"Answer: -n + 401056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 301, 463, 641, 841?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 - j**2 - j**2 - 2*j**2 + 4 - 4 + (0 + 3 - 5)*(-5 - 3*j**2 + 5))*(-j - j + 0*j)*(2*j + 0 + 0) as q*j**3 + p*j + x*j**2 + k + d*j**4 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1045 - -1798. Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 4*v - u, -6*u + 261 = 3*v - 3*u. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 9 - 11729*h.\nAnswer: -11729*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.319 + 1.38. Let h = s + -0.111. Sort h, -2, 1\/31.\nAnswer: -2, h, 1\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439453381 to the power of 1\/2, to the nearest integer?\nAnswer: 20963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*n + 143*n - 192. Suppose -10*y = 2*y - n. Solve y*j = -5*o + 25, -4*o + 2*o = -j - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/9)*d**(1\/2))\/((d*(d*d**(-2\/7))\/d*d)\/d**(1\/4))*(d\/(d*d**(-5)*d))\/d*(d\/((d**(-1)\/d*d)\/d))\/d*(d\/(d*d**1))**(1\/70) assuming d is positive.\nAnswer: d**(5207\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -4*z + 25, -5*z + 41 = -3*v. Let d = z + 8. 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: Simplify (((r*r**8)\/((r**5\/r)\/r))\/(r\/((((((r**(-1\/12)\/r)\/r)\/r)\/r*r)\/r)\/r)*r**(-30)))**(-36) assuming r is positive.\nAnswer: r**(-1077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**4 + 29*h. Let l(n) = -3*n**4 + 14*n. Let x(t) = 6*j(t) - 13*l(t). What is the second derivative of x(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -37 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Differentiate -1 + 7*r**3 + 2 + u with respect to r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:56 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -4052.354 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -531, -754, -947, -1104, -1219?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304 + 303.8. Let z be (-1)\/(9\/6) - -1. Let k = -3 - -3.1. Sort k, z, b in descending order.\nAnswer: z, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 5. Let m be (-20)\/(-6)*9\/5. Let l be a(m). Which is smaller: -1\/17 or l?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 207 - 27*j - 208 - 8*j + 0*j + 0*j - j + (2*j - 5*j + j)*(1 + 0 + 1) + 3*j - 2*j - 3*j.\nAnswer: -42*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + d - 3020*d**2 + 83 - 156 + 76.\nAnswer: -3020*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(((m*m*m\/(m**(-4)\/m)*m)\/m)\/m)*m*m\/(m\/(m*m\/m**(-14\/9)*m))*(m*m**6)**4 assuming m is positive.\nAnswer: m**(248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 2. Suppose 5*h = -3*x + 97 - 36, 3*x = -4*h + 56. What is the least common multiple of g - -1 - (-4 + 3) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72442421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 600*c - 2480.\nAnswer: 5*(c - 124)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:09 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42490115 to four decimal places.\nAnswer: -0.4249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - (2 - 2))\/(3\/(-1)). Let z(j) = -3*j**2 - 7*j + 757 - 760 + w*j. What is z(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, 24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.15 + 0.15. Let y = -180 + 188.3. Let x = 8 - y. What is the second smallest value in w, x, 0.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*i + 65139 = 17745, -2*s - 4*i = -18960. List the prime factors of s.\nAnswer: 2, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110524 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.026135303 to 1 decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*p - 247*p - 3*c = -18, -3*c + 15 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 + 346. Let u = w - 37. Determine a, given that -2*a**3 + 4\/7*a - 24\/7*a**4 + 2*a**2 + u = 0.\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*v + 5*v - 296 = 0, 1311*n + 3*v - 108 = 1306*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -9. Let p = 6.4 + t. What is the second biggest value in 5, p, -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o**2 + 3*o. Let i(f) = -10*f**2. Determine q(i(z)).\nAnswer: -1200*z**4 - 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 14*h**2 - 2*h + 12. Let d be a(-14). Let z = 4143\/1912 - 10\/239. Calculate the common denominator of z and (-142)\/d - (-7)\/28.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**3 - 153 + 140 + 14*m**3.\nAnswer: 4*m**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*63*((-672)\/(-280))\/((-8)\/100*-35).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*r + 420, 2*j - r - 133 - 26 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**2 + 262*z + 31 with respect to z.\nAnswer: 2*z + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:21 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -39.81.\nAnswer: -49.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 7) + (6 - (7 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-12)*-62)\/(-5*(-67)\/(-2010))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*b**3 - 187*b**3 - 14*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 9 = p. Let k = p + -28. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5627835 and 18.\nAnswer: 11255670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 377481, 377466, 377451?\n\"Answer: -15*f + 377496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*i + 1463868 = 1420128 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -19.\nAnswer: -42\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27221 + -11236. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*2*sqrt(91))\/((sqrt(847) - (sqrt(847) + sqrt(847) + sqrt(847)*-2*-1)) + sqrt(847)).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 115, -1\/4, -0.1, -3\/10, 53.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -4, -170, 5 in decreasing order.\nAnswer: 5, -4, -68, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5162, -2, -3, 4, -50, 1 in descending order.\nAnswer: 5162, 4, 1, -2, -3, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/294?\nAnswer: -13\/294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 501309 and 167103.\nAnswer: 501309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 1, u: 1, n: 2}. Give prob of sequence rnr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 8558*x**3 - 5499*x**3 + 2183*x**3 as f*x**3 + t*x + s + y*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 3018 = 3183 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46626 and 816924.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -194833*n**2 + 985*n + 1970. Let f(k) = 594*k**2 - 3*k - 6. Determine 3*d(o) + 985*f(o).\nAnswer: 591*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.261 minus 1133691.59?\nAnswer: -1133691.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppiiplpbppi. What is prob of sequence ilbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1793237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 1. Let x be (-195)\/40 - (-1)\/(-8). Calculate r(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 - 157 = -7*r. Suppose -4*o + 159 = -3*f, -3*o - f + r = -8. Suppose 0 = 4*v - 236 + o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334 and 91627055.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*h + 206, r - 12*h + 242 = -7*h. Which is bigger: -224 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 + 4*m - 5. Let b be (5 - 4)\/(2\/(-22)). Let q = b - -6. Calculate t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 8:46 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3618486?\nAnswer: 2, 3, 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -40*v + o - 38, -5*v = 4*o - 100 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*k - 2*k. Let l be (-3)\/(-2)*8\/k. Suppose 0*h - l*h + 78 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5, 4*b = 2*x - 3*x + 8. Let w be (-92)\/x - 4\/6. Let q = w - 4. Sort q, 2\/9, -2\/9 in descending order.\nAnswer: q, 2\/9, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767110 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 50428917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -682*q**2. Let d(x) = 8*x**2 + x. Let f(y) = 17*y**2 + 2*y. Let v(c) = 2*d(c) - f(c). What is u(v(i))?\nAnswer: -682*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9\/((-18)\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2613 + 2614.5025. What is c rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 35. Let r = -23 + t. Is (2 + r - -3) + 1336 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 3*h**2 + h + 1. Let a be -5 - 14*(-8)\/32*2. Give o(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -3339 divided by -2\nAnswer: 3339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -32, 5152, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**5 - 185146*f**4 + f**3 + 2*f**2 + 582899*f - 3 wrt f?\nAnswer: -300*f**2 - 4443504*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 20. Let s(f) = 0*f**2 - 4*f**i + 2*f**2. Let g(q) be the third derivative of -2*q**5\/15 - q**2. What is s(g(l))?\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**4 - 13*y**4 + 102*y**4 + (3*y**4 - 3*y**4 + 2*y**4)*(-4 + 6 - 1) + (2*y - y + y)*(-5 + 5 + 2*y**3).\nAnswer: 78*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4128 and 84848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-1 - 2 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 20. Let t be (243\/(-18) - (-3)\/(-2)) + 3. Let f be 2\/t - 884\/i. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 7*z**2 - 7*z - 3. Let r be v(-6). Suppose 2*x - 11 = -h - 4*h, r*h + 4*x - 1 = 0. Solve t = 4*n - 17, -3*t - 2*t = h*n + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 30 (c) -1 (d) -1\/2 (e) 387\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -9. Suppose 3*i - 42 = -3*i. Solve -3*v = -3*k - i*v - 8, -2*k - h = -5*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -950*d*n**2*o**2 + 72*d*n**2*o - 30*d*n*o - 12*d*n - 5*n*o**2 + 3*n - o**2 wrt n.\nAnswer: -1900*d*o**2 + 144*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229462551 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c*c\/(((c*c**(1\/8)\/c)\/c*c)\/c)*c*((c*c**(-7))\/c)\/c*c**(-7)*c)\/((c**(2\/13))**(-26))**(-7\/9) assuming c is positive.\nAnswer: c**(-305\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)**38\/(r*r*r\/r**(-2\/7)*r)**18)**1 assuming r is positive.\nAnswer: r**(-806\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (558*x**2 - x**2 + 229*x**2)*(-1 - x + 2*x + 0).\nAnswer: 786*x**3 - 786*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6234904*w. Let q(i) = -i**2. Give q(m(l)).\nAnswer: -38874027889216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412 - 1?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7125)\/(-30))\/19*(-3 - 46\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 69*x**2 - 73*x**2 + 16 + 175*x**2 to the form w*x**2 + p + a*x and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y - 7. Let t = y - -10. Let x(l) = l**3 - 5*l**2 - 2*l + 10. Let o be x(5). Solve -2*d = -v - o*d - 3, 5*v - 2*d = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v - 3. Let a(p) = 2*p**2 - 17*p - 5. Let h(u) = 4*a(u) - 7*s(u). Suppose m = 2*m. Suppose m*c = x - 3*c, -4*x + 26 = c. Give h(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54bc (base 16) to base 14\nAnswer: -7c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3400, 4263, 5122, 5977?\n\"Answer: -2*j**2 + 869*j + 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (7 + -3 + -1 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 127206 divided by -63603\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1923 divide 19449222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*l - 3*y + 13, 0 = 5*l - y - 30 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b**4 + 3\/4*b**3 - 1\/4*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -1 (b) -2\/7573 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 22*b**2 - 19*b - 24. Give d(-23).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.316 + 3.316. Which is the smallest value? (a) r (b) 0.5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 438043797 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.07.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -18. Let n = 7 + h. Is n > -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588442134.\nAnswer: 2, 3, 7, 397, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*g = g - 21, -2*g = -5*n. Suppose 2*c - 2 = 6. Calculate the remainder when c is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u**2 - 9. Let v(w) = 10*w**2 + 10. Let g(b) = -4*j(b) - 3*v(b). Differentiate g(o) with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4143545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.0052km in centimeters?\nAnswer: 25900520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -218*w - 5687. Calculate d(-23).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254617701?\nAnswer: 937, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 24*p - 112. Determine w(-13).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p - 8*p**2 + 11*p + 2 + 5*p. Let g be h(6). What is x in -6*x**3 - 6*x**2 - 34*x**g - 80 - 100*x + x**3 = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 2, -163, -0.1 in increasing order.\nAnswer: -163, -0.5, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 14*v - 3. Let c be q(14). What is the common denominator of c + ((-222)\/(-28) - 0) and 53\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*i = -3*g + 24, -2*g + 4*i = -16. Suppose 5*h - 7*h + g = 0. Solve 5*a = -2*d + 14, -h*a + 4*a - 20 = 4*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (12 - 11) + -10 - -8) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*y = -63*y - f - 0 + 1, 0 = -12*f - 36 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3.6, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 13*u - 42 - 7 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -15. Calculate the remainder when 34 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 203453?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v - 5. Let a be (-2 - v) + 4 + -16. Let q(o) = o**3 + 14*o**2 + 14*o + 15. Let j be q(a). Solve t + 0 = 1, -2*t - 2 = -j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8442 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 + 62\/(-22). Let s(q) = 6*q + 48. Suppose 15*x = x - 112. Let f be s(x). Is t greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -36. Which is the third biggest value? (a) 0 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 26853 = -10*z + 3*h, -5*h = -5. What are the prime factors of z?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k + 1)*(6 - 2 + 3)*(14 + 34 + 28).\nAnswer: 532*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h - 3. Let b(s) = s + 6. Let i be b(-6). What is the nearest to i in 1\/6, h, -0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*m + 202*m - 14 = -3*x, 4*x = -3*m - 55 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 424?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126.8696 + 127. Let j = x + -0.130396969. Round j to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -12.166\nAnswer: 60.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1108, 1493, 1878, 2263, 2648, 3033?\nAnswer: 3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) - -1*sqrt(204))))) + sqrt(204))*6)\/(sqrt(24)\/(-4*sqrt(2)*-1 + sqrt(2)))*-2.\nAnswer: -720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 2*j - 1. Let x(h) = -3*h**2 + 7*h + 2. Suppose 3*n = -9, -4*n + 1 = w + 15. Determine w*x(l) - 7*o(l).\nAnswer: -l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -8, 1\/26 in descending order.\nAnswer: 1\/26, -2\/21, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 12*t**2 + 8*t + 10. Let k be u(7). Let v be (2 + -1)\/((-504)\/k + 1). What is the derivative of 10*c - 153 + 8*c + v wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3012370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 8*t**2 + 19*t - 4. Let q be i(4). What is the greatest common factor of 332 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 37*w**2 + 3*w + 130. Let h be b(-37). Solve -h = 17*d + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*s**2 + 3*s**2 + 22*s**2 + s - s + 2*s**2 + (s - 3*s + 0*s)*(-2 + 2*s + 2) - 3 - s**2 + 3 + s + s**2 - s as m*s + v*s**2 + d and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 3*q + 129 = 0, 0*w + 2*w + 2*q = 32911 - 32863 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) - (-1*sqrt(180) - sqrt(180))))\/sqrt(10) + sqrt(1800)*2.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1604 - -8527?\nAnswer: a030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 3, -25, 1, 0 in descending order.\nAnswer: 3, 1, 0, -24, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 greater than or equal to 71567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*((c\/(c*c**(-1)*c))\/c)\/c)\/((c\/(c**(-3)*c))\/c**4))**(6\/5) assuming c is positive.\nAnswer: c**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, v: 5}. What is prob of picking 2 v and 2 p?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*o**2 - 17*o + 17*o + (0 + o + 0)*(o - 2*o + 0*o) + o - o**2 - o + (-6*o - 3*o - o)*(-1 + 1 - o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-7)*(-2 - -4). Let k = 4 + -16. Let f = k + 10. What is the smallest value in g, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 189 = -4*o, -2*o = 4*m - 5*m - 97. Let g(k) = k**2 + k - 5. Let y be g(4). What is the remainder when o is divided by y*3*3\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1951 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + 9. Suppose -2*a + 9115 = c*a. Let z = a + -1240. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/29128 and -59\/2672.\nAnswer: 9728752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 216481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 16, -2, 0.2, -1\/7.\nAnswer: -2, -1\/7, 0.2, 16, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:52 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2*1*(-12)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**3 - 2*u + 912 + 13*u**2 + 3*u**4 - 910 - 5*u**2 - 5*u**4 to the form i*u**4 + x*u + w*u**2 + n + p*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqqqqvbqqqqb. What is prob of picking 1 b and 1 p?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*i - 22470000. What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1\/5, -990.33, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, -29\/6, -0.043 in decreasing order.\nAnswer: 0.4, -0.043, -29\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015358?\nAnswer: 2, 23, 22073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2741 = -5*q + 2686 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roorrorror. Give prob of picking 2 o and 2 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 20*m + 3. Let h(p) = p**2 - 3. Let o be h(3). What is the remainder when n(3) is divided by (-2)\/(o\/39)*(-2 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110 + 110001101101110?\nAnswer: 110001100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37347*b**3 - 3428 + 74687*b**3 + 1734 - 37342*b**3 + 1694.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 2, 86, 284, 638, 1190?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 200*q**2 + 200*q**2 - 11*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -22.2. Let h = -1.3 - -1.5. Let g = 1.2 - h. Which is the closest to 2? (a) q (b) -4\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + 3\/(15\/(-20)). Let q be (6\/2)\/(0 + -1). Let x be (f - q\/(-1))\/1. Solve -4*j = -4*m - 24, -j - 5*m = -x*j + 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/391 and 25\/82892.\nAnswer: 82892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4041455?\nAnswer: 5, 11, 197, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93314 is divided by 688?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b**2 + 467*b + 115. Calculate q(22).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 323627.\nAnswer: -323622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 710*a + 710*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, u: 1, q: 1, x: 2, e: 1, d: 8}. Give prob of picking 1 e and 1 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 96*b + 3832. Calculate x(-40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40255 and -0.041.\nAnswer: -40255.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**4*k**(3\/8)\/k)\/(k**(-3)*k\/k**(-2)*k*k*k*k) assuming k is positive.\nAnswer: k**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 2*s - 10, -4*s - 51 = -5*h. Let w be (-5)\/(-15) - h\/3. What is the second smallest value in 2\/7, w, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*a + 3*k + 7, 3*k + 6 = 0. Let q(b) = b**2 - 6*b - 3. Let y be q(a). Let n(v) = -3*v + 0*v + y - 11. Determine n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w - 3*w**5 + 6*w + (-3 - w**2 + 3)*(12 - 12 - 15*w)*(2*w**2 + 0*w**2 - 5*w**2).\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11650868*t**3 + 4017231*t - 1 wrt t.\nAnswer: -69905208*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 - -4.977. Let w = -59 - -294\/5. What is the nearest to 0 in j, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427*-0.0614\nAnswer: 26.2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1394520 and 1\/418356.\nAnswer: 4183560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1349.4 - -1349. Which is the nearest to 2\/7? (a) -3 (b) 3 (c) -1\/16 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720877099?\nAnswer: 29, 24857831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 140244*d - 140241.\nAnswer: -3*(d - 46747)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 145, 756, 1765, 3166, 4953, 7120?\n\"Answer: -c**3 + 205*c**2 + 3*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11 or -224?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3130 and 46637.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1211\nAnswer: -4\/1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-7 + 5 + 9 + (1 - 5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -220524, -221204, -221884, -222564, -223244?\n\"Answer: -680*f - 219844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*b + 19, i + b + 9 = 2*b. Let y = -4 - -1. Let m(p) = -2*p + 3*p - 8311 + 8315. Let n(t) = -3*t - 11. Determine i*m(d) + y*n(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11638721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2780 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 806*m**3 - 808*m**3 - 2 - 1.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143305, -286607, -429909, -573211, -716513?\n\"Answer: -143302*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 51 - 64*f**2 - 55 - 1.\nAnswer: -64*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7993 * -0.025.\nAnswer: 0.0699825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032431120 (base 5) in base 4?\nAnswer: -33332010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*g - 0*g + 20, -4*j + 28 = 5*g. Solve -3*t - j*b - 16 = 0, t - b = -6*b - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 39 + 11. Suppose 5*f + 2*r - k = -4, -5*r = 4*f - 10. Suppose 3*n = 66 + 6. Solve -2*d - n = -4*c - 2, 2*c = -d + f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 2, i: 1, r: 10, f: 1, q: 2}. What is prob of sequence if?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 - 61650*m = 0. Calculate m.\nAnswer: -12330, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14 = 4. Suppose -1035*p - 15 = -3*k - 1034*p, -3*k = -4*p - 33. Solve -7 = u*v + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88850 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13556 = -13*i + 122350. What are the prime factors of i?\nAnswer: 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/9 - 7468*d**3\/9 - 102542*d**2 + 103372*d = 0. What is d?\nAnswer: -3606, -129, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64578653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-105 - 1)*(-5)\/10. Suppose -3*k - z = -4*r - 2*k, -5*r = -4*k - 69. Suppose 0 = 2*d + d - 39. Calculate the highest common divisor of r and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 + 6*q**2 + 6*q - 2. Let u be -1*1*14\/(-7). Suppose -4*b - u = 2. Let w(a) = a**3 - a**2 - a. Calculate b*t(j) - 6*w(j).\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11.64947 times 14\nAnswer: -163.09258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00294071 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 30 = 70. Let c(d) = d**2 - 4*d - 9. Let v be c(7). Let n = -12 + v. Solve 1 = -4*l + 3*y - 3, -3*l + 4*y - s = n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(39)*1)\/((sqrt(12) + (sqrt(12) - sqrt(12)*-1))\/sqrt(4) + sqrt(30)\/(sqrt(10)*1)) + 5.\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -t + 529, -3*s - 537 = -t - 7*s. Let x = -169 + t. What are the prime factors of x?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-8)\/10) + -3. Let p = 13 - 9. Suppose 3*o = -5*j - 13 - 2, 4*j = -5*o - 25. What is the closest to -3 in o, z, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/2190*(-36)\/(-24). What is the nearest to c in 1\/3, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 9*h**5\/5 + 29*h**4 + 110*h**3\/3 + 18*h**2 - 110*h. Let o(m) = 0. Calculate m.\nAnswer: -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55741 or -55743?\nAnswer: -55743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1182720 and 65472?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -24*k + 435. Let l be f(18). Solve -l*t - 2*w = w - 6, -4*w = -t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200661740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/((9\/12)\/3). Find the common denominator of 121\/(-1)*1\/20 and (2\/(-12))\/(u\/1095).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49680+-50\nAnswer: -49730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21446\/389 or 55?\nAnswer: 21446\/389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 328 = -8*j. Let b = -29 + j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530450 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/(c\/(c*c**7)))\/(c**(-1\/2)\/(c\/(c*c*c*(c**(-6)\/c)\/c)))*c**3*(c*c**2)\/c*((c**(-5)\/c)\/c)\/(c*c**(-1\/3)\/c) assuming c is positive.\nAnswer: c**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -38\/5, 0.09, 1\/2 in descending order.\nAnswer: 1\/2, 1\/6, 0.09, -38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-33) - 28\/(-88). Let h(f) be the first derivative of 2*f + 0*f**2 + u*f**4 + 0*f**3 + 1. Differentiate h(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8632311 and 9?\nAnswer: 77690799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v - 1\/3*v**2.\nAnswer: -v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-25)*(-1020)\/1326*2\/4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 - 882 = -194*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71230000 rounded to the nearest 1000000?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 6*k + k + (11 - 57 + 4)*(2*k - 3*k + 0*k) - 6 + 9 + 0 + k.\nAnswer: 42*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10016 + -10009. Put -120, 1, x in descending order.\nAnswer: x, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -430 + 428.751. Let j = -0.271 - x. Let q = -0.088 + j. What is q rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/5 + 45)*1*(-4 - 127\/(-32)).\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. What is the derivative of -2 + 2*v**2 + 0 - c*v**2 wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1205\/4 + 302. Let j = 20 + -27. Let m = j - -7. Which is the nearest to m? (a) -2 (b) q (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-286797)\/(-3902)*(1 - 33\/21)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 5)*3\/(-54). Let c(j) be the first derivative of i*j**2 - 1 - 1\/18*j**4 + 2\/9*j - 2\/27*j**3. Factor c(u).\nAnswer: -2*(u - 1)*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + j**3 + (-4 - j**2 + 4)*(-4 + 4 + 3*j)*(0 - 5 + 3) - 20*j**2 + 20*j**2 + 89*j**3.\nAnswer: 96*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 + 7*t**2 + 2*t - 10*t**2. Let g(n) = -n**2. What is a(g(m))?\nAnswer: -13*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52107*i - 51877*i + i**3 - 29*i**4 + i**3 wrt i?\nAnswer: -348*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.12 - 1.62. Let r = x - -3.5. Let v = r - 54.99872. Round v to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + l = -676, -4*a = -7*a - 4*l + 1014. Let f = a - 147. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1072 or -1071?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -1218 + 1220 + 1 + (0 - (-1 + 1)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 - w - 7. Let m be f(-7). Let h(o) be the third derivative of 0 + m*o**3 - 1\/6*o**4 + 0*o + 2*o**2. Let p(q) = -q. Calculate p(h(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*r - 101. What is the remainder when r is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1081 + -1081. Suppose 3*z - s - 3 = 40, -4*z - 3*s + 66 = 0. Suppose -7 = -6*l + 17. Solve 0 = 5*h - 5*b + z, -2*b + 0*b + l = r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 5945 + 586 - 35928. What is the greatest common factor of 164 and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1, 2\/5, -467\/5, -0.7?\nAnswer: -467\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 6, v: 1, x: 2, f: 4, m: 1}. Give prob of picking 1 x and 3 s.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104\/7, -1\/3, 0, -797, 0.11 in decreasing order.\nAnswer: 0.11, 0, -1\/3, -104\/7, -797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -979404.\nAnswer: 11\/244851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.6721 * 1778\nAnswer: -8306.9938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-21))\/(3\/6*2\/3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*r - 11*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/25125 and 8\/5.\nAnswer: 25125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/2 - 37*h**3\/2 - 73*h**2 + 256*h - 3. What is the first derivative of n(v) wrt v?\nAnswer: 12*v - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-89)\/2*1\/(-2). Let x(p) = 4*p + 6. Let m be x(-7). Let d = m + y. Which is the third biggest value? (a) d (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449374 is divided by 12839.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2140*i + 2128*i. Let f(b) be the first derivative of 0*b**2 - b**5 + 8\/3*b**3 + 0*b**4 + 4 + i*b. What is the third derivative of f(y) wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -884*d**4*m - 2*d**3*m - 37*d**2*m - 11*d**2 - 3*m wrt d.\nAnswer: -21216*d*m - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, 5, 0.0858, -55.69?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3 - 41 + 63*s + 4*s**4 - 71*s + 23 + 14.\nAnswer: 4*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 - 9 = 0. Sort 3, x, 0 in decreasing order.\nAnswer: 3, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let w(r) = 2*r**3 - 2*r**2 + 3*r + 2. Let o(u) = -5*f(u) + w(u). Let l be o(1). Let i be ((-6)\/(2 - 1))\/11. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182916801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let q = 11 - 11. What is the nearest to q in 3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*s + 11883 = -s, 0 = b - 3*s - 2385. Suppose 0 = 5*u - 9279 - b. Find the common denominator of ((u\/(-12))\/7)\/(11 + -1) and 99\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164066?\nAnswer: 2, 7, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833) + -1 + sqrt(17))**2 + sqrt(187)\/(2*(sqrt(66)\/sqrt(6) - sqrt(11)) - sqrt(11)).\nAnswer: -sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -59 + 22785\/372.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*v + 19, -5*t + 25 = -0*t + 2*v. Is (-5)\/t + (-21)\/((-504)\/52336) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228 - 225. Solve 0 = -3*f - 2*k + 4, -j*f - 4*k = -10 + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 0*q**2 + 4*q**2. Let l(h) = 48*h - 90*h + 19*h. Determine d(l(y)).\nAnswer: 529*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 0.197?\nAnswer: 18.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyhhqhyh. Give prob of sequence yhqy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -2*x, -x + 0*g + 2 = -2*g. Suppose 0*k - k + 119 = 3*n, x*n = 6. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = q, -2*r + 73 = -3*q + 93. Put r, 8\/45, -1\/8 in descending order.\nAnswer: r, 8\/45, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 5*q + 3. Let m be a(-6). Let r = -1 - m. Let o = r + -20. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.15 - -7. Let h = w - 0.08. Let i = 0.229966 + h. What is i rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5 - 6\/(-15)) + (-164285)\/247225\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1.351, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -25198 (b) 11 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - (-24)\/10. Suppose -5*d + 390 = -4*s, d = 3*d - g*s - 154. Suppose -m + 3*w + 26 = 0, 4*m - d + 18 = 4*w. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-140) - 1589\/(-630))\/(24\/(-540))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 372 - 360. Suppose -5*x - 2933 = -m*x. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, -11, -0.1, 133, -1 in ascending order.\nAnswer: -11, -4, -1, -0.1, 20, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 114.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 40. Determine p(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 3 + 1 + (-4 + 6 - 1)*(-3 + 2 + 0))*(-1 + 1 + p) to z + i*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.06\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 5*d + 6*d**2 - 5*d + 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {q: 3, n: 4, v: 2, l: 2, j: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/42700 and -19\/70.\nAnswer: 42700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -0.8. Let o = p - -0.1. Which is the nearest to o? (a) -0.2 (b) 1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 30*n**3 + 12*n**2 - 5*n - 11. Give a(-2).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 508055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 113111643 - 1?\nAnswer: 113111642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*d - 5, 0 = -3*d + 28*h - 23*h - 12. Which is the nearest to d? (a) 8\/13 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v**2 + v + 2. Let y be o(2). Let j = -3 - -1.8. Let k = j - -0.2. Which is the nearest to k? (a) 5 (b) -1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -23. Calculate the remainder when q is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967313 is divided by 4906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/20 and 19\/1416.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -1\/2*i**2 - 90*i + 36*i**3 - 127. What is the first derivative of s(u) wrt u?\nAnswer: 216*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-5)*(-70)\/(42\/6). Let g be -3 + (-3 - -8 - -2). Let a(m) = -b*m - g*m + 6*m. Let r(l) = l. Give r(a(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2616 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 205550221?\nAnswer: 205550230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 1 - 9*n**3 - 3*n**2 + 7*n + 6*n**3 - 4. Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -13*k + 42 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 6*w**2 + 7*w + 2. Is 3 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6435 and 25773345.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -2*d, -d - 4*d + 21 = 2*y. What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 1 + 1 + (-3 + 3*n**2 + 3)*(6*n - n - 2*n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 34 = -5*b - 2*j, 0 = 2*b - 4*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 673\/18 - 75\/2. Calculate the common denominator of a and 43\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45204 by -3767.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 21*k + 6. Let z(m) = -11*m - 3. Let j(g) = -6*s(g) - 11*z(g). Suppose 4 = -2*a + 10. Let y(n) = 8 - 4 + 0*n + 2*n + 4*n. Calculate a*y(l) + 4*j(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 - c**3\/6 - 3*c**2\/2 - 3*c. Let g(t) = t - 1. Let p be g(6). What is the remainder when s(p) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1213 (base 5) to base 3\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {k: 4, i: 5, p: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 + 1360*c - 207438 = 0.\nAnswer: 231, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.415\nAnswer: 2.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -279\/15284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.663*-223.9.\nAnswer: -372.3457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -753 + 750. What is the nearest to 1\/2 in -4, d, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -118, -322, -624, -1024, -1522, -2118?\n\"Answer: -49*n**2 - 57*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21936*b = -21933*b + 5*w - 53, -13 - 38 = 3*b - 3*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5 = i, 5*f = -0*f + 4*i - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzfk when four letters picked without replacement from bnzkzbbzbfbfbb?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -106. Let d be (4 - y) + -4 + -2. Let k = d + 138. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569385, -569389, -569395, -569403, -569413, -569425, -569439?\nAnswer: -569455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6 + 0 + 5*r - 5*r**2 + 0*r**2 - r**3 - r**2. Let q be g(-7). Differentiate -q + 1 - 2*d**3 + 4 - 6 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -19*m - 7. Let d be o(-4). Suppose -2*n = -2*p - 38, -p = 4*n - n - d. Let t be (0 + n + -7)*(-4)\/10. Are -7 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/3056 + 3041\/9168. Let h be -3 + 1 + (-2 - -3). Which is the second biggest value? (a) -4 (b) 0.02 (c) h (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328 (base 11) to base 7\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.0199832. Round k to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 5*j + 3. Let r(d) = 2 - 8*d**2 - 4 + 5*d**2 - 4*d. Determine 3*r(u) + 2*y(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5152 and 74576.\nAnswer: 384215552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230456456 (base 7) in base 11?\nAnswer: 7a4891a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -993412 divided by 14?\nAnswer: -70958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/576571 or -1?\nAnswer: 36\/576571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6662\/7887 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -290111 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 - 359. Let m be (-20)\/(-8 + 3) - h. Calculate the common denominator of ((-6)\/9)\/(m\/1494) and -47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/13 (b) -257\/2 (c) 5\/18 (d) -3\/11 (e) 0.5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4 + (-125)\/30)*(-160)\/100.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286136618 divided by -4066.\nAnswer: 70373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2*b**5\/5 + 31*b**4\/8 + 2363*b**2. Factor v(l).\nAnswer: 3*l*(8*l + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 28*c**3 + 3 - 2 to the form w*c**3 + r*c + j + a*c**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 625*u**4 + u**2 - 624*u**4 + 0*u**2 - 2*u**2 as r*u + j*u**2 + v + l*u**3 + n*u**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -75\/31, -0.4, -4\/9, -0.01, -1\/7, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyyx when four letters picked without replacement from ttyxyytxtxyyptt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjssjsssm. What is prob of picking 1 m and 3 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 221712 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 - 5*f - 21. Let q(t) = -5*t**2 - 3*t - 10. Calculate -5*q(x) + 3*z(x).\nAnswer: -2*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 2*g**4 + 2*g**2)*(-8 + 59 + 23) in the form j*g + p + w*g**2 + c*g**4 + n*g**3 and give c.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*c + 296*c - 52*c**3 + 1 - 100*c + 2*c**2 - 97*c as o*c**3 + l*c + v + y*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 878489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/(-20160)*-21)\/((-5)\/4).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 50*z + 239. Determine s(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -13\/3*p**3 + 0*p - 5 + p**2. What is the second derivative of c(t) wrt t?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = n + 19, 5*n + 122 = 4*l + 111. Put n, 5, 9, -4 in decreasing order.\nAnswer: 9, 5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 - 530825*f**4 + 14087962760*f**3 + 42268665840*f**2 = 0. What is f?\nAnswer: -3, 0, 53084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 30 = -0*t. Solve t*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12470 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -79, -125, -171, -217, -263?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-2 + 0 + 3). Suppose f - 10 = l*f. Let z be -2 - (-1 - 14\/18). Which is the closest to f? (a) -2\/11 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2*p**2 + 2*p**2 - 3*p + (0*p - p**2 + 0*p)*(7 - 1 - 3) - 2*p + 2*p - p**2 - 4*p**2 + 2*p**2 + 0*p**2 to c + a*p + t*p**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 232\/(-24)*6\/(-16) and -111\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121212 (base 3) to base 11.\nAnswer: 148a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23161 - 23159. What is w in -78\/5*w + 9\/5 + 169\/5*w**j = 0?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q. Let z(o) = -2*o**3 - 7*o**2 - 2*o + 5. Let t(l) = l**3 + 6*l**2 + 2*l - 4. Let b(i) = 5*t(i) + 4*z(i). Calculate -b(a) - 2*g(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = p + p + 16, -4*p = 5*m - 33. Let j be (-2)\/p*4 - -4. Which is the closest to j? (a) -3 (b) 0.4 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 12*c**2 - 6*c + 21. Let f be d(11). Let k = 286 + f. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22582.2 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 + 3 - (9 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -2136?\nAnswer: -2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 3*y**2 - 7*y + 10. Let c = 10 - -72. Let j = 87 - c. Let f(t) = -4*t**3 - 3*t**2 - 7*t + 11. Let v(m) = j*o(m) - 4*f(m). What is v(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, 23, 136, 363, 740, 1303?\n\"Answer: 6*f**3 + 3*f**2 - 16*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/251, -5\/3, 3, -5, -2 in increasing order.\nAnswer: -5, -2, -5\/3, 1\/251, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/108)\/(4\/(-9))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r**2 + 9*r - 4. Let z(w) = -w**2 - w. Let x(i) = q(i) + 6*z(i). Let o be x(-4). Let d = 491 - o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540401432 + -102?\nAnswer: 540401330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12900692?\nAnswer: 2, 7, 431, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799991 - 4*p**3 + 799991.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91736412 to the nearest integer?\nAnswer: 9578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1569969.6ns to minutes.\nAnswer: 0.00002616616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, -3 in descending order.\nAnswer: 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7511 and 228179?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35260 - -43898698\/1245. Which is the nearest to 0.1? (a) -5 (b) 5 (c) 3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 11) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 k when four letters picked without replacement from klkkllkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 2*sqrt(75)*3 + sqrt(75) + -1 + 5 + 1)**2.\nAnswer: 400*sqrt(3) + 4825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 58*x**4 + x**3 + 17*x**3 + 94*x**2 - 8 - 6*x**3 + 106*x**3 + 10*x**5 + 16*x = 0.\nAnswer: -2, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 0*s**2 + 1\/63*s**7 + 0*s**3 - 1\/30*s**5 + 1\/45*s**6 - 1\/18*s**4 + 0 - s. Factor m(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0798 - 0.2?\nAnswer: -0.1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 - -117. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 11550.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 5, q: 4, n: 3}. Give prob of sequence pqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 377504?\nAnswer: 7172576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 442 = -3*h - a, 2*a = -4*h + 596. Calculate the remainder when 359 is divided by h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 6 + 3 + 2*h**2)*(-2*h - 2*h + 7*h).\nAnswer: 6*h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3153\/260 or -11?\nAnswer: -3153\/260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1168324, -1168315, -1168292, -1168249, -1168180, -1168079, -1167940, -1167757?\n\"Answer: l**3 + l**2 - l - 1168325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 22*h + 7. Let a be w(10). Solve -34*v - 7 = -a*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3174 is divided by 211.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 9. Suppose -j - 11 = -v, -28 = -2*v - 0*v + t*j. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445532906 a multiple of 1437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - p = -0*u + 4, 0 = 5*u + 3*p - 22. Suppose -5*c = -2*y - 48, u*y - 5*c + 2*c + 44 = 0. Is 8\/(-36) + (-33)\/27*y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.61 - 40.61. Let n = w + 38.7. Let j = -16.5 + 2.5. What is the second biggest value in 1\/8, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 + 56 = 0. Suppose -b = -4*g - 4*a, 0 = 2*g - a - 6 - 4. Differentiate 1 - 3*d**2 + g*d**2 + 17 with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhvchccawhrhhhh. What is prob of picking 1 v and 2 w?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 70480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7264*h**3 + 100*h + 2876109 wrt h.\nAnswer: -21792*h**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196539 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - -0.4. Suppose 6 = -2*j - 0*j. Let p = -2.3 + 0.3. Which is the nearest to p? (a) -0.4 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, -16.8, 2, -20\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 193, 1073, 3325, 7609, 14585, 24913, 39253, 58265?\n\"Answer: 110*w**3 + 26*w**2 + 32*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15658 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/965, 1\/2, 0.84566?\nAnswer: 0.84566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/3)*s*s))\/s*s\/s**(-1\/5)*(s**(2\/5)\/s)\/s*(s\/(s**(4\/5)*s))\/s assuming s is positive.\nAnswer: s**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -329.\nAnswer: -329, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-3300)\/(-253) + -13)*(-1)\/(-5)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6309537014?\nAnswer: 2, 11, 149, 233, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + 0 + 1.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let i(x) be the first derivative of 3*x**2 + 8. Determine u(i(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -869634188*m**3 - 457325264*m**2 wrt m.\nAnswer: -5217805128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {w: 5, p: 5, g: 2, b: 1, k: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/21899 - 1204629\/4029416. Find the common denominator of u and -9\/88.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - -1 - (-122 + -13) is divided by 58.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 3 (c) -1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 1, a: 2, k: 2}. What is prob of picking 1 v, 1 k, and 2 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-4\/19)*(k**(2\/5))**19*k*k\/(k\/(k*k*k**4*k))*k*k\/k**(-1)*k*k**(-6\/7)\/k**(-2\/21) assuming k is positive.\nAnswer: k**(37792\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-5164)\/(-114) + (-32)\/(-304). Suppose 0 = -x + w + 224. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m + 19. Let y be u(-2). Sort 0, -2\/5, y, 82.\nAnswer: y, -2\/5, 0, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2172*t**4 - 4*t**3 + 24829 wrt t.\nAnswer: -8688*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from mfffccfwffmf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1805*r = -1803*r - 3*g - 21, -2*r - 2*g + 6 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*x + 3 - 7, 4*m + 6 = 2*x. Let u = m - 4. Let w = 1 - u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25*b**3 - b**2 + 2*b + 2. Determine m(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99956?\nAnswer: 2, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + (sqrt(475) - 1*sqrt(475)))**2 + 5 + sqrt(228)\/(-6*sqrt(24)\/sqrt(2)).\nAnswer: -sqrt(19)\/6 + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 12133122?\nAnswer: 12133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**3 - 17*l - 13 - 12*l**3 - 17 - 3 - 18*l**2. Let r be t(19). Suppose -990 = -5*f - r*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w = 53*w + 24. Suppose -w - 2 = -2*a - 4*t, -5*a + 5*t + 40 = 0. Calculate the greatest common divisor of a and 198.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = p + 2*p - 101, 0 = 3*u + 5*p - 154. Let f = u + -31. Suppose 17 = 2*b - 51. What is the remainder when b is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*u**2 + 3*u**3 + 159569 - 159569 + 1298*u**2 - 650*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*h**3 - 566*h**4 - 74*h**4 - 25*h**4 + 2*h + 206*h**3 as k*h**4 + x*h**3 + t*h**2 + y + o*h and give k.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255\/262 + 62\/131. What is the nearest to 0.2 in -2, -1\/4, c, 12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 232594340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254156, 254142, 254130, 254120, 254112?\nAnswer: 254106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6 - (15 + -27)) + 4 + -17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z**2 + 15*z + 8. Let v(m) = 5*m**2 + 4*m + 2. Let q(t) = -2*g(t) + 9*v(t). Let i = 15 - 9. Suppose -x = -0*x - i. Determine q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132756 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 3. Let h(q) = q + 34. Let u be h(-15). Suppose 0 = -14*b + u*b + 15. Let i(j) = 3*j - 1. Calculate b*z(f) + 7*i(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**19\/((s\/(s\/(s\/(s\/(s**(-4)\/s)))))\/s*s)*(s*s\/((s**30*s)\/s))**42)**(-10) assuming s is positive.\nAnswer: s**11520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 0. Let y = z + 1. Is 13 a factor of 37 + 1 + 1\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 255*s**3 - 519*s**2 - 261*s.\nAnswer: 3*s*(s - 87)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72328473 to the nearest integer?\nAnswer: 8505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**4 - 1934*m**3 - 414*m**2 + 430182*m - 1233792 = 0.\nAnswer: -192, -17, 3, 63\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 15) in base 12?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 385\/53, 1912, 1?\nAnswer: 1912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-l - 2*l + 2*l) - l - 2*l + 2*l + 18*l - 946*l + 14*l)*(0*l**3 - 3*l**3 + 4*l**3).\nAnswer: -913*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -63699 and 0.3.\nAnswer: -63698.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2321 + 0?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from uucvvvvvvxvvvx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(130) - -2*sqrt(130) - sqrt(130))*-3*5)\/(-6*sqrt(30)\/sqrt(3) - (-1*sqrt(50))\/sqrt(5)))**2.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(192) - (4 + sqrt(3) + sqrt(27))**2) - 5*sqrt(21)\/(sqrt(35)\/sqrt(5)*6).\nAnswer: 256 + 1147*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1495 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 334603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414431130?\nAnswer: 2, 3, 5, 13814371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -9506?\nAnswer: -9506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2462*l**6 + 940*l**3 - l**2 - 529*l - 386?\nAnswer: -295440*l**3 + 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 507*b**2*y + 2*b**2 + b*y + 31987*y wrt b.\nAnswer: 1014*b*y + 4*b + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)*o*o*o**(-25) assuming o is positive.\nAnswer: o**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 15) in base 4?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/26 + 9610\/403. Find the second derivative of 19*f**5 - m*f + 2*f**5 - 7*f wrt f.\nAnswer: 420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -26\/3 (c) -3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -1\/48*w**4 + 0*w + 1\/24*w**3 + 0 + 1\/240*w**5 + 4*w**2. Factor b(v).\nAnswer: (v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4694.363 weeks?\nAnswer: 2839150742.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 not equal to -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4115\/2 or 2058?\nAnswer: 4115\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 141 + 153 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 177, 176, 175, 174, 173, 172?\n\"Answer: -a + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 26. Suppose -5*y = 4*p - 10 - m, 0 = -2*p + y + 10. Let x(f) = -f + 1. Let w be x(p). Put 4, -5, w in ascending order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-21)\/8)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogoofoogokk. Give prob of picking 1 o, 2 g, and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -28.9999. What is k rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12151995523 from -0.2.\nAnswer: -12151995523.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/54 and -111\/250?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 4972264 and 4972253 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233\/927 + -3\/103. Sort -1\/3, -0.1, f, 4 in decreasing order.\nAnswer: 4, f, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86878, 86861, 86810, 86707, 86534, 86273, 85906, 85415?\n\"Answer: -3*z**3 + z**2 + z + 86879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 3332231?\nAnswer: 3332311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27272085 to the nearest integer?\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122100 (base 3) to base 9.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92254 - 31195. Is 86 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -1\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f**2 - 1 - 17*f**2 + 1 as p*f + u*f**2 + d and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2 - 6 - 4*c)*(2 + 1 - 1).\nAnswer: -4*c - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13163 = f, -65155 = -5*f + 37*p + 1156. Is 81 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 674586881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34592.85 to the nearest 100.\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005 - 1527427709.\nAnswer: -1527426704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.6 - -45. Let n = 134.5 - 135. Let u be (2\/4)\/((-1)\/2). Which is the fourth biggest value? (a) n (b) u (c) -2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**5 - 6*m**2 + 4. Let i(j) = -j**5 - 13*j**2 + 9. Let w(k) = 9*a(k) - 4*i(k). Find the third derivative of w(s) wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11717279 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) -4\/69 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*1214 + 2\/2. What is the highest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-390)\/3 + 1 + 3. Let f = n + 178. Suppose -19*t = -6*t - f. Put 5, t, -11 in ascending order.\nAnswer: -11, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 80. What is n(-26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289 is divided by 267?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 55*v**2 - 8*v. Let p be u(8). Suppose -n + p = -3*o, -5*o + 0*n - n = 5760. Let a be 250\/4*o\/30. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 1, q: 3}. What is prob of picking 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -529*q**3 + 46*q**2 + 19*q + 19*q - 39*q.\nAnswer: -q*(23*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyqv when four letters picked without replacement from {v: 4, q: 4, y: 6}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -28 - 72. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k. Let f(v) = -23*v. Let a(m) = -2 + m**2 + 0*m**2 - 4 + 2*m + m. Let d be a(5). Determine d*n(q) + 6*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*x - 137*x = -6042 - 3445 - 10425 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*w = 397*w - k + 6, 0 = 3*w - 8*k + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 151, 723, 2277, 5305, 10299, 17751, 28153?\n\"Answer: 82*r**3 - r**2 + r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 + 6*o**3 + 864 - 864 + (-12 + 12 - 12*o**2)*(-2*o + 5*o - o) + o**3 + 0*o**2 + 0*o**2 in the form u + k*o**3 + n*o + c*o**2 and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-7)*f))\/((f*f**1)\/f))\/((f**12\/f)\/(f\/f**(-4\/3))))**(-3))**(19\/5) assuming f is positive.\nAnswer: f**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rpppptrppprpdpttprp.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {k: 1, s: 2, t: 1, u: 2, g: 1, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 10 = 0, -w = -3*s. Suppose -844*q + 999*q = 1550. Solve 0 = -q*i + w*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -11 + 10 + (-1)\/1. Solve -3\/7*j**d + 0*j + 0 + 3\/7*j**3 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 2*b - 36, -2*b = 5*v + 69. Let s be 40\/v*(-3)\/2. Is s equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-445)\/19936*42)\/((-3)\/8*2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445\/(-89)*4\/(40\/(-6168494)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + 0*f**3 - 3*f**3)*(-f - 4*f + 4*f) + 5*f**4 + 14*f**4 + 29*f**4 - 15*f**4 - 16*f**4 + 11*f**4.\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 - 5*h**4 + 3*h**4)*(0 + 1 + 1) + 3*h**4 + 8*h**4 + 2*h**4.\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.8. Let n = 200.33 - 198.33. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.1 (c) 1\/55 (d) -1\/31 (e) 5 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 - 4*d**4 + d**3 + 4*d**2 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-6*(sqrt(162) - (-2 + sqrt(162))*-6))**2*-1.\nAnswer: -167588352 + 31352832*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 778542394 and 14084?\nAnswer: 7042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856707, -856710, -856725, -856758, -856815, -856902?\nAnswer: -857025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*x - 3*y, -y - 1 = 4*x + 50. Let g be 10\/14 - 4 - 4\/x. Let h be ((-1)\/2)\/((-2)\/(-4)). What is the closest to h in -1\/10, g, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 10*v**2\/3 - 51*v - 54.\nAnswer: (v - 9)*(v + 1)*(v + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.069 - 4.169. Let m = y - -1. Let o = m - -2.45. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 5*l + 6. Let f be t(-8). Let v = -151 - f. Let w = 55 + v. Calculate the highest common divisor of w and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k - 16. Calculate the remainder when (1 - (k + 2)) + 62 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 + 120. Determine u(0).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9818*d**3 + 376*d**2 - 22450002*d.\nAnswer: -58908*d + 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9741 and 1079.7.\nAnswer: 1051.73577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 155*j - 151*j - 58, 15*d + 5*j = -190 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163\/21 - 52\/7. Is 229 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618645 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -3*j. Let r(l) = -10*l**2 + l**2 - 2*l**j + 2*l**2. Let s(t) = t. What is s(r(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 - 6 - (-1 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**2 - 31\/12*o**4 + 3*o + 2\/15*o**6 - 1\/5*o**5 + 0*o**3 + 0. What is the third derivative of z(u) wrt u?\nAnswer: 96*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 g, and 1 j when four letters picked without replacement from {u: 1, g: 11, e: 1, j: 4}?\nAnswer: 11\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 62 = 2*i, -4*q - i - 1308 = -1329 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - m + 3. Let w(f) = -f**3 + 4*f**2 - 5*f + 4. Let t be w(3). List the prime factors of j(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 - -1.7. Let q = 2 - 2. Let m = 2 + q. Which is the nearest to 2\/7? (a) d (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 6*x**2 + 7*x + 3. Let d be z(-7). Suppose -2*s + 54 = 2*p, 81 = 3*p + d*s - 7*s. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180587.\nAnswer: 71, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 808 - 808. Determine h, given that 1\/2*h**2 + h + u - 1\/2*h**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 279049, 558099, 837149, 1116199, 1395249?\n\"Answer: 279050*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aanaknaaknabnbaaaaa. What is prob of picking 3 n?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 551721.2 weeks in nanoseconds?\nAnswer: 333680981760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 45 + 47 - 3 + 1.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*((l**(-3\/4)*l)\/l)\/l))\/l**(-1\/5))**(-2\/107) assuming l is positive.\nAnswer: l**(-59\/1070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1383 and 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/1)\/(211\/422)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3 = 0, 2*i - 30*u + 25*u - 15 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-10*((-405)\/(-198) - 6\/11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28719 plus 2?\nAnswer: 1.71281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9619835 divided by 5\nAnswer: 1923967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 + 15*f + 237. Determine x(-14).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let u = 1504 + -1506. Let z(d) = 2*d**3 + 2*d**2 + 3*d - 3. Let w(j) = 2*j**3 + j**2 + 2*j - 2. Give a*w(g) + u*z(g).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 24*w**2 + 52*w - 4. Let h be b(26). Let k(v) = 12*v + 5. Determine k(h).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2. Let t(x) = 68052*x**2 + 166*x. Determine t(r(w)).\nAnswer: 68052*w**4 + 166*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u + 0*u - 186 = -64. Suppose 5*r - 5*b = 35, 3 + 1 = -2*b. Sort u, r, 1, 4 in ascending order.\nAnswer: 1, u, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*n + 204*n + 193*n - 536*n.\nAnswer: 53*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7417983.11+0.2\nAnswer: -7417982.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:47 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*z**2 - 12*z + 12*z)*(-2*z**2 - 2*z**2 - z**2) to the form x*z**3 + o*z + v + c*z**2 + k*z**4 and give k.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 5711a?\nAnswer: 57133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-2)*((-68)\/6 - -6). Let o(h) = -h**3 - 7*h**2 + h - 1. List the prime factors of o(w).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19138453 is divided by 171.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in -0.3, 490, 21\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -2. Let c = 2.75 + -0.25. Let j = c + -5.5. What is the nearest to s in -4, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 2*j - 1. Let f be v(-1). Suppose f = 7*k - 1282 - 706. Is 71 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -31?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196990 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n - 5. Is 40 a factor of i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 713 + 5?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3036\/14 + (60\/28 - 2) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 10977. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 + 25878*c**3*t**2 - 2640313*t**2 wrt c.\nAnswer: -4*c**3 + 77634*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*2\/24*(-3)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -399, -820, -1427, -2220, -3199, -4364?\nAnswer: -5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 232. Let g(n) = 2*n**2 + 2*n. Let v(s) = -7*s**2 - 6*s. Let w(u) = -3*g(u) - v(u). Give d(w(j)).\nAnswer: j**2 - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(624))\/(sqrt(3)*-2*2))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 88 = o, 6*o - o + 110 = 4*s. Let c(i) = 6 + 1 - 3 + i. Let a be c(-4). Solve a = -4*u - w - 10 + 34, 5*w - s = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.2, -1274?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 13)*(-r + 0*r - r)*(2*r**2 - 2*r**2 + 2*r**4).\nAnswer: 52*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 82739 = 39*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 2*d**3 + 2*d**3 - 6*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 23*x - 8. Let s be q(11). Suppose u = 2*t + 6, 0*t - 26 = s*u + 5*t. Is 5 + -5 + (100 - u)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 4*g**2 + 69*g + 331. List the prime factors of q(-16).\nAnswer: 11, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/84 - 11*c**3\/42 - 15*c**2\/7 + 200*c. Factor o(j).\nAnswer: -(j + 5)*(j + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**3 + 8*k**3 - 5*k**3 + (0*k**3 - k**3 + 2*k**3)*(-8 + 5 + 8) + (33 - 33 - 6*k)*(-2*k**2 + 0 + 0).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3 - 3)*(-4 - 1 - 1)*(-37*n**3 + 3*n**3 - 17*n**3) to the form b*n + z*n**4 + i + s*n**2 + u*n**3 and give z.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38476, -75316, -112146, -148960, -185752, -222516, -259246, -295936?\n\"Answer: q**3 - q**2 - 36844*q - 1632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6.3. Let t = 0.8 - y. Let f = 10.7 - 15.7. Sort -2, f, t.\nAnswer: f, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/((-300)\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*1727.1\nAnswer: -6908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 13}. What is prob of picking 2 h and 2 k?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 741041365 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in -0.4, -181, -2\/309?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 3*u - 10. Let j be f(0). Find the common denominator of 2 - 3\/j*2893\/(-198) and 83\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let a be 1 - (-1)\/(2 - 1). Suppose 1116 = 92*l + 106*l + 324. Let h(u) = l*u**a + 830*u + 5*u**2 - 830*u. What is t(h(p))?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -50. Let r = 36 - u. Let y = r + -43. Solve -17 = -f - y*f + 4*w, -f + 12 = -3*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 15, -372, -19.\nAnswer: -372, -19, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -19, -2, 4.\nAnswer: -19, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - u - 2*u, -7*p = -u - 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 6978445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyu when three letters picked without replacement from ccqcychhhycyscchus.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let p = -2 + d. What are the prime factors of 0 + (1 - p) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 7*p**2 + 43*p - 88. Determine u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/(-345)*4853\/633.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2227*t - 4506. List the prime factors of z(21).\nAnswer: 3, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4887947362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3834 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044 (base 6) to base 16.\nAnswer: f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7412230 and 9530010.\nAnswer: 66710070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 3*i + 2*i - 7*i - 7*i**3.\nAnswer: -7*i**3 - 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 0. Let b(p) = -p**3 - 10*p**2 - 9*p + 5. Suppose -3*j - 19 = 5*o + 8, -5*j + 3*o - 45 = 0. Let x be b(j). Put -4, l, x in increasing order.\nAnswer: l, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -587 - -1286. Let c be (-2)\/(-8) - v\/(-4). Let a = c - 120. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-7)\/(17 - -4)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f - 22*f + 111*f - 18*f + 19 - 16*f - 18*f.\nAnswer: -f + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10111100001 (base 2) to base 8\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*r + 10, -3*n = r + 4*r - 10. Suppose p - 13 - 20 = n. Suppose a + q = 7, -2*q - 13 = 5*a - p. Solve 3*f - 4 = a*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 132970 + 387310 = 0. Suppose -v = -5*v + w. Suppose -4*f + 2947 = -v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-140) - (-220)\/14. Suppose 1273 = -8*j + 1401. Calculate the highest common factor of j and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -25. Suppose -4*u + j*f = -12, -3*u - 11 + 27 = 2*f. Let i be 3\/(-4) - (-22)\/8. Solve -3*n = u*l + 27, i*n + 0*l = 4*l + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1848)\/308*4\/(-6). Solve -3*z - 17 = -4*z + h*l, 0 = -3*l - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2659*q + 2659*q - 3*q**2 + 0 + 0.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 - -622. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8996792?\nAnswer: 2, 7, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + d**2 + 6*d - 12. What is y(3)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**3 + 1\/3*m**6 - 2*m**2 + 0*m - 4 + 0*m**5 + 0*m**4. What is the second derivative of d(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 11. Let n be j(8). Suppose -n*p = p - 92. Suppose 0 = -x - 2 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and -73\/2630?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmqhqrf. What is prob of sequence qm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -74*i - 811, 0 = -5*i + 5*x - 47 + 7 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76977.7 litres?\nAnswer: 76977700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, z: 1, r: 3, u: 1, l: 2, k: 1}. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -846 - 13969?\nAnswer: -14704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1821, -4 in decreasing order.\nAnswer: -4, -5, -1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3509489.889 to the nearest 1000.\nAnswer: 3509000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (654 + 1064 + 8 + (0 - 3 + 2)*(-2 - 2 + 5))*(2*k + 3*k - 4*k).\nAnswer: 1725*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 2*u - 7*u)*(0 - 1 - 1).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wknhwwi. What is prob of picking 1 n and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 339 = 3*t, 140*t - 145*t - 23 = -3*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-210)*(-102)\/(-119))\/((-5)\/5).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-1) - (-22 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:29 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -14.48.\nAnswer: -5.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c0 (base 13) in base 12?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18640811?\nAnswer: 7, 47, 56659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 569969629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u - 1. Let r be t(-3). Let q = -309 + 321. Which is the fourth smallest value? (a) r (b) q (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 - 340. Suppose -w = 5*z + o, -2*z + 12*w + 3 = 9*w. Factor -3\/4*n**3 + 0*n + z + 3\/4*n**2.\nAnswer: -3*n**2*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 91109089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3452, 6597, 9606, 12479, 15216, 17817, 20282?\nAnswer: 22611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12927\/1816 - -3\/454. Sort -3, 4\/9, -5, k in descending order.\nAnswer: k, 4\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 44325*n + 132992. Calculate q(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -68. Let o = 0.58 + -0.18. Let z = 3.4 + -3.3. What is the third smallest value in v, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124\/5 - -25. Which is the nearest to 0.3? (a) 3\/5 (b) -2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:41 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14359894 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 195, 315, 489, 717, 999?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*z - 2*z + 170 - 5*z**4 - 3*z - 7*z - 4*z wrt z.\nAnswer: -20*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 579961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/3)*v)\/(v\/v**5)*v**(-2\/3)\/v**(-2) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(-25 - (44 + -75))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126 = m + 1121 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-30)*i\/(i**(1\/11)\/i)*i*i\/(i*i**6*i*i) assuming i is positive.\nAnswer: i**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/374686 and -27\/104.\nAnswer: 1498744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/18557?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 0.0749?\nAnswer: -5.0183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 77705732?\nAnswer: 77705732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2403*d + 2357*d + 1288 = 0 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15399.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*x + 2*c - 4 = -66*x, 4*c = -32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 80 = 47. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -711\/9932?\nAnswer: -711\/9932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 268086 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 33 = 7*o, 24 = -59*o + 55*o + 2*h. What is the fifth smallest value in o, 0.14, -6\/7, 0.1, -5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2932)\/(-227230))\/((-8)\/40)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 2*s - 2. Let u(i) be the third derivative of i**4\/24 - i**3\/6 - i**2. Let c(d) = 4*u(d) - 2*v(d). Let o(g) = -3*g. Calculate c(o(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 118\/274293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 37387?\nAnswer: -8225140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (690*(-37)\/1998)\/((4\/(-10))\/((-24)\/(-50))).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -3, -2\/11, 3, 39, 0.03?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5172.999 months?\nAnswer: 4.3108325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 6284910*w + 3291674475675.\nAnswer: 3*(w + 1047485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 16. Are l and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 26. What is the highest common divisor of 198 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-13)\/3 + 3). Suppose 0*d - 4*d = 2*s - 24, 0 = n*d - 15. Suppose -s*b - 14400000 = 2*b. Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) + (-1)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Let p = z - 9. Let r be (-154)\/p + (-4)\/10. What is the highest common divisor of r and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 6, -0.15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27217 - 0.271. What is i rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-498)\/23655)\/(1\/5). What is the fourth smallest value in u, 3, 1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/54 and -88\/45.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*v**3 + 0*v**3 + 7*v**3 - 6*v**3.\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:06 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 1524 = 14*n. Suppose -n = -29*s + 26*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(3*z + 2 - 2)*(5*z**3 - 2*z**3 - 4*z**3).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24493.265 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275088 + 275074 - 46*n + 147*n.\nAnswer: 101*n - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4025 and 1267685825?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyye when four letters picked without replacement from yyder.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/21 and 20\/6147.\nAnswer: 43029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 879481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*1*sqrt(156)*6)\/(-1*sqrt(432) - (sqrt(144)\/(1*sqrt(12)) + sqrt(12))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*((-3052)\/378 - -10) and 25\/2088.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1194.8 - 1066. Let a = -116 + h. Let r = a - 13. Put 4, r, -0.5 in descending order.\nAnswer: 4, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*x + 184, -4*x - 307 + 77 = 5*s. Let o = s - -1805. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 300, 270, 200, 72, -132?\n\"Answer: -3*y**3 - 2*y**2 - 3*y + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*u - 3. Let h(f) = -2*f**3 + 6*f**2 + f - 7. Let y(i) = -i**3 + 3*i**2 + i - 4. Let j = -10 - -6. Let m(z) = j*h(z) + 7*y(z). Determine m(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 757 + -757.36. Which is greater: 0.13 or r?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3705 in -2, 3, -1.13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 682 + -410. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(-14*(-8)\/(-5488)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -13, 2, 19?\n\"Answer: w**2 + 10*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.19 from -9.7.\nAnswer: -9.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let q(s) = 3*s + 169284. What is a(q(r))?\nAnswer: 6*r + 338568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 4*d - 4*d - d - 2*d - 3*d - 3*d - d + 2*d + (d - d - d)*(1 + 2 - 1) - 1 - 2*d + 1.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/17, -1\/12, 9, 1\/3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*n + 12, -3 = x - 0*x - 2*n. Let j be 5 + (0 - -2)*-1. Let c be (2 + -3)*(1 + j). Which is greater: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*l - 2424*l + 5072*l.\nAnswer: 97*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6224972 to 2 dps.\nAnswer: -51.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 10 - 62 = 0. Factor -105*u**3 + 300*u - 500 + 180*u**3 - 105*u**v + 55*u**2 - 5*u**4.\nAnswer: -5*(u - 2)**2*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112)\/(-35) + 4\/5. Suppose 4*z + 3*i - 14 = -2*i, 0 = 3*z + u*i - 11. Let y = z - -23. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*l)*(-4*l + 4*l - 10*l**2) to u*l + r*l**3 + c*l**2 + i and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4306 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -792*s - 13. Let j(g) = -198*g - 3. Let d(x) = -2*i(x) + 9*j(x). Let m be d(-1). Suppose -5*f = -m - 313. What is f rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -299 - -624. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 135\/(-35) - 4034\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 412 = 58*f - 10 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 18*a + 2*z = 0, -5*z = -4*a + 13. Suppose q = -2*w + a + 2, -5*q = 0. Solve -12 = -c - w*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 times -6.5?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 282 + -142.4. Let p = b + -139.59099. What is p rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1237854496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*a + 5*a. Suppose 4*v + 15 + 5 = 3*x, -10 = -5*x - a*v. Sort 5\/6, 0.07, x in decreasing order.\nAnswer: x, 5\/6, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaaazalazl. What is prob of sequence lzaa?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:05 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542684926.\nAnswer: 2, 7, 38763209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let u be o(-1). Let d be (-4)\/(9*(-1 - 44\/(-36))). Let k be (-1)\/u - 221\/d. Calculate the greatest common factor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(-210) + (-12)\/36 - (-1)\/(-5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.97 + -3.87. Suppose 54 = -5*b - 3*k + 19, 3*b = -3*k - 15. Put 1\/5, b, i in decreasing order.\nAnswer: 1\/5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122000212120211 (base 3) to base 2\nAnswer: -100010100001111000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 915.5332km?\nAnswer: 915533200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 419595517 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m**2 + 6*m + 9. Let t be z(7). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45673 * 242.\nAnswer: -11052866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60046.\nAnswer: 2, 7, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.539699948 to 2 decimal places.\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1. Let s(l) = -2*l + 5. Let w = 82 + 100. Let y be (-78)\/w + (-90)\/(-14). What is y*v(c) - s(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 181\/5. Let h = -144.863 + 145. Let k = h - 0.137. Sort r, -2\/5, k, -5 in decreasing order.\nAnswer: r, k, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1466099*d - 23457590. Determine i(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2838, -10500, -23268, -41142, -64122, -92208, -125400?\n\"Answer: -2553*o**2 - 3*o - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/(-15)*(-2)\/((-12)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 3)*(-x**2 + 6 - 6) + 130*x - 130*x - 15*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.58 - 9.38. Let v = 10 + y. Round v to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458909 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 2 (c) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 12. Let u be p(-13). Let z be (6\/9)\/(u\/(-3)). What is the units digit of -3*(z - -3) + 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33866127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6555, 26275, 59151, 105183, 164371?\nAnswer: 236715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 3 + 0 - 6 - 2*k. Let c be w(-7). Put -1, c, -2 in ascending order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73544301 and 117?\nAnswer: 956075913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.228608 nanometers in centimeters?\nAnswer: 0.0000004228608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*d - 15, -4*a = -d - 3*d - 24. Is a\/(-2)*(-40)\/3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 657 - 657.0301. Round d to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.6. Let s = -502 - -304. Let k = s + 984\/5. Which is the nearest to -0.1? (a) 2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let p(q) = 2. Let u(s) = 2. Let y(o) = -4*p(o) + 3*u(o). Let w(m) = 2*g(m) - y(m). Differentiate w(v) wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 428 in ascending order.\nAnswer: -1, 2, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2010221936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x)\/x)**(-34)\/((x**(-2\/17)\/x)\/((x\/(x*x*x**(1\/4))*x)\/x)) assuming x is positive.\nAnswer: x**(-6945\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.08102\nAnswer: 0.016204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10105 + -10105.5. Which is the closest to -2\/9? (a) 0 (b) r (c) -395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkeekkexxyxxxex?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14399, -17299, -20199, -23099, -25999, -28899?\nAnswer: -31799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 3*a + a. Let o(i) = i - 2*i + 2*i - 4*i. What is t(o(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 289093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30, -0.3, 18, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.2 (c) -1\/3 (d) 4 (e) -2161 (f) -2\/5 (g) 0.834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.023 (c) -0.2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/64 - -61\/192. Sort 1\/9, m, -1, 14.\nAnswer: -1, 1\/9, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1066, 19, -21, 2, -2, -3 in descending order.\nAnswer: 19, 2, -2, -3, -4, -21, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.048532 years?\nAnswer: 0.4048532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -2. Let t be 94\/(-10) - x\/(-20). Let v = 18 + t. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from ggpppspg.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/2 - 742270*l**2 - 275477922776*l + 3305841961056 = 0. Calculate l.\nAnswer: -742276, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-0.163\nAnswer: -0.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rrrcrccrcrrrcccrccc?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, 0.1, -1\/8, 5, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + -18 + (-11 - (8 - 28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 393317805383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 20*o + 3. Let s be v(-21). Let f be 1\/(s\/(-155699996)) + (-40)\/(-180). Suppose -m = 4*m - f. What is m rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -254, -531, -836, -1181, -1578, -2039, -2576?\n\"Answer: -2*s**3 - 2*s**2 - 257*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - -2*sqrt(300))) + sqrt(12))\/((sqrt(6) - -5*sqrt(6) - sqrt(6))*-1 + sqrt(6)).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 17*y**2 + 55*y - 51. What is p(-10)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1153.38?\nAnswer: -1153.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101131003 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -671 - -679. Suppose -3*o + 134 = l. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 14. Let i(a) = 18*a**2 - 1. Let f be i(k). Suppose -2*x = 3*v - f, -5*v = -x - 3 - 8. Sort -2, 4, v.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/42 and -35\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15561, -15562, -15563?\nAnswer: -15564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 21*d - 3 = 0. Let y be (115200*-1)\/((-2)\/250*d). What is y rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 + 0*a**2)*(214*a - 3*a**3 + 4*a**2 - 214*a + 3*a**3 + 4 - 4 + (-3*a**3 + 0*a**3 + 2*a**3)*(6 - 2 - 2)) - 11*a**5 - 2*a**5 - 3*a**5.\nAnswer: -14*a**5 - 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/17681?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 6*c**2 - 6*c - 13. Let p(r) = -2*r**3 - 5*r**2 + 5*r + 14. Give -4*i(g) - 5*p(g).\nAnswer: -2*g**3 + g**2 - g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**2 + 35*g**2 - 47*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n**2*y**3 - 17*n**2*y**2 - 436890*n*y**3 - 2*n*y**2 + 356*n*y - 1005*y**2 wrt y?\nAnswer: 66*n**2 - 2621340*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56925 divided by 11385?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let y(b) = 61 + b + 11*b - 8*b - 6*b. What is y(q(j))?\nAnswer: 4*j**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:37 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 + -697. Suppose 1 = c - 1. Is c - (n + -4 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1249872154 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 8*r - 8. Let m(i) = 7*i - 7. Let d(q) = -6*m(q) + 5*o(q). Let l = -5134 + 5132. Determine d(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 31430.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 - 6*d - 10. Let r be c(7). Let g = 48 + -34. Let w = g + -33\/2. Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 717776593 to the power of 1\/2, to the nearest integer?\nAnswer: 26791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 4*i + 3. Let m be 4\/10 - (-64)\/40. Let q be b(m). Suppose q*y - 32 = 31. What is the highest common factor of 84 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 2.9. Let j = d + 2.7. What is the biggest value in 1\/3, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/7 - 239*r**2\/7 - 724*r\/7 - 484\/7 = 0. Calculate r.\nAnswer: -2, -1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 - 5*y + 6. Let u be l(5). Let g = u - 2. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4245 = 315*p + 3945 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n - 2*a + 35, n - 4*a - 29 = 0. Suppose -21*o + n = -18*o. Suppose 0 = o*b - 123 + 27. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/378 and -139\/672.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 0. Suppose -3*j + 72 = -5*t - 6, -4*j + 4*t = -104. Suppose 5 = -y + 4*f, 5*y - j = -k*f + 15. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 19, 46, 97, 178, 295?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271937277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 625 - 625. Suppose -k = p, -2*l = k - 2072 - 7490. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -10)\/(3\/(-39)). Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 136 = -186 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -74707126*o. Let d(k) = -11*k. Determine d(v(p)).\nAnswer: 821778386*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c + 14*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/6))\/(s*s*s*s*s**(-3)\/s*s)*(s**(-3\/7)*s)\/(s*s**(-6)))\/(s*s**(-6)*s**(-2\/9)\/s*s)**(2\/77) assuming s is positive.\nAnswer: s**(1097\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.675473*-3\nAnswer: 2.026419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**3*x**3 - 3*l**3*x + 2*l**2*x + l*x**3 - 67*l*x wrt l.\nAnswer: -24*x**3 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 506*b**2 - 2549*b - 3066.\nAnswer: (b - 511)*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61093\/12 - -5094. Calculate the common denominator of d and 61\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*o + 800629, 46*o = 42*o - 2*f + 800626. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 714\/60 + -8 - (-1 - -5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - -9.87. Suppose -w + 1 = 2, c - 4 = 5*w. Sort -3, c, k, 0.1.\nAnswer: -3, c, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.00006 - -9. Round b to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (18 + -140 - (4 + -7 - 5)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, 0.1, -1 in ascending order.\nAnswer: -1, 0.1, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*y - 151*y + 888142. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101076017*x**4 - 2*x**3 + 607*x + 144406.\nAnswer: 1212912204*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.4894 to 1 dp.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110144*t**2 + 220166*t**2 - 110014*t**2 - 6*t.\nAnswer: 8*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 + -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0211 + -3.0211. Which is the smallest value? (a) y (b) 0.3 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.013 and 5666153333326?\nAnswer: 5666153333326.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*o**3*s + 93*o**3 + 6*o**2*s + o**2 - 2*o*s + 1916*o - 7*s - 1 wrt o?\nAnswer: 42*o*s + 558*o + 12*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-24)*((-2 - 3) + 5). Solve u = 5*n + 2*n - 42 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sssp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -29.\nAnswer: 19\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -20*i**2 - 4625*i\/2 - 4545 = 0?\nAnswer: -909\/8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - 4.94. Let x = m + 5.0022. What is x rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-1336)\/3006 - (-5)\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*j - 327*j - 330*j - 333*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-4 + ((sqrt(132)*2 + sqrt(132))*-2)\/(5*(sqrt(162)\/sqrt(6))\/sqrt(9)))**2.\nAnswer: 96*sqrt(11) + 1974\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 190979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1309281, -2618553, -3927817, -5237073, -6546321?\nAnswer: -7855561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780 divided by -156.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. Let r be i(-5). Suppose 0*k - r*k = -12. Is 11 a factor of (-198)\/(-12)*8\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12113, -380, -5 in increasing order.\nAnswer: -380, -5, 12113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -17386884?\nAnswer: -17386883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5219122 to three dps.\nAnswer: -0.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1. Suppose -3 = 2*n - n. Let w(s) = 4*s**2 - 4. Let o(u) = n*d(u) - w(u). What is the first derivative of o(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2945504, -2945515, -2945526, -2945537, -2945548, -2945559?\n\"Answer: -11*q - 2945493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.851kg to micrograms.\nAnswer: 751851000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -22\/97 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 3.9. Let f = -6.1 - -7.1. Which is the closest to 0.2? (a) f (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**3 - 218*x**2 + 857*x - 659. Let h(v) = -18*v**3 - 291*v**2 + 1143*v - 879. Let u(b) = -15*g(b) + 11*h(b). Suppose u(f) = 0. What is f?\nAnswer: 1, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -949032 divided by 24.\nAnswer: -39543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 100 = -27*p. Suppose -420 = -30*b + p*b. Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9120*z**2 + 2009*z**3 + 9120*z**2.\nAnswer: 2009*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4)*(-14)\/21. Let m be (117\/(-26))\/(1\/(-10)). Suppose 2*c - m = y - 6*y, 4*c - 15 = 5*y. Solve 12 = -3*h + 5*q - c, 18 = -3*h + v*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010111010 (base 2) in base 16?\nAnswer: cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -340*s + 335*s. Solve -4*j + s + 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 43 = -5*u + l, 4*u + 4*l - 28 = 0. Suppose h + 2*h = -2*x + u, -3 = x - 2*h. Factor 3*i - 9*i - x + 5 + 2*i**3.\nAnswer: 2*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 1, t: 2, p: 2, x: 2, j: 1}. Give prob of picking 1 x, 1 y, 1 h, and 1 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 66 + 6)*(2*y - 2 + 2) + 6 - 6 + 6*y)*(-4*y**2 + 2*y**2 - y**2).\nAnswer: 288*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 39428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2*-1)*2. Let a = f - 4. Suppose 0 = g + g + 2*z, 4*g - z = a. Solve -4*u - 36 = -3*t - 12, g = -5*u - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 12. Let v be j(0). Let q = -2 - v. Suppose 25 - q = 5*r. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1359050 - 1181997\nAnswer: -2541047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*x**5 - 3*x**2 + 4*x**2 + 3*x**2 - 4*x**5 wrt x?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -0.8940464.\nAnswer: -1.0940464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 254100, 507952, 761802, 1015650, 1269496?\n\"Answer: -o**2 + 253855*o + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 + -60)\/((-4)\/396).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160\/1583 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110777640 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3)\/((-89)\/(-534) - (-2)\/(-28)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26425243 to the power of 1\/9, 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 hh when two letters picked without replacement from hhharhahhh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 3*n**2 + n)*(-20 - 24 + 7 + 7) in the form i*n**2 + l + j*n and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2 + u - 1 + 7. Let k be w(-5). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(6)\/(sqrt(128)*-1) - (-5*((sqrt(3) + 1)**2 + sqrt(3)) - -5*sqrt(3)*3).\nAnswer: -3*sqrt(3)\/8 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 36 - 4158 = 0. What is the remainder when b is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117.27 * 0.2.\nAnswer: -23.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1960 - 1269. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(16\/32).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31\/2 - (-4)\/(-2). Let r = i - 55\/4. Let j = 47\/156 - 2\/39. Put r, j, 2 in decreasing order.\nAnswer: 2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 - z + 4. Let u(r) = r**3 + r**2 - r - 1. Calculate d(o) + u(o).\nAnswer: o**3 - 4*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1100231302 + -1324?\nAnswer: 1100224423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let w be (-50)\/4 - (-9)\/6. Let k = w - -18. Let r = 0 - k. What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = h. Let o(s) = -2*s**3 + s. Let x be o(-1). Sort h, 4, x.\nAnswer: x, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -13. Let k(b) = 2*b - 6. Let r(g) = 4*g - 13. Let z(y) = -y**2 + 6*y + 1. Let p be z(5). Suppose p*j = 10*j + 52. What is j*k(t) + x*r(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 - 0.26785\nAnswer: -4.16785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z**(2\/3)*z**0\/(z*z**(-3)\/z*z)*(z*z**(3\/8)*z**2*z)**(-12) assuming z is positive.\nAnswer: z**(-263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6922, 27562, 61898, 109900, 171538?\nAnswer: 246782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9208814527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3*(-2)\/(-24)). Is ((-62)\/f)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 9*u**2 + 4*u + 2. Let b(m) = 3*m**3 - 28*m**2 - 10*m - 3. Let y(q) = -2*b(q) - 7*o(q). Determine y(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2411 divided by 8\nAnswer: -2411\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 81*n**2 - 10902*n + 285480.\nAnswer: 3*(n - 61)*(n - 26)*(n + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*o + 65 = -426 + 69 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16043 or 16240?\nAnswer: 16240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13715 + (-549)\/(-610) + (-1)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**2 - 12. Let m(r) = r**2. Give m(p(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, y: 6, l: 1, n: 1}. What is prob of sequence lyo?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-36)*-1*9*14\/252*39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**17\/b*b*b**(-1\/13)*b*(b**2\/b)**(-17\/2) assuming b is positive.\nAnswer: b**(271\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 172.6. Sort 4\/5, k, 1 in descending order.\nAnswer: k, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from xxeexxsyeeexyxeyyy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74803.38km in centimeters?\nAnswer: 7480338000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146469 is divided by 945?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 13334?\nAnswer: 1226728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2 + 60*p + 7955. What is i(-32)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 103480*y - 73645020.\nAnswer: -5*(y - 19958)*(y - 738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-8 + -11 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1728 - 1574*r + 287*r - 1730 to the form u + g*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29.7 * -0.007\nAnswer: 0.2079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 7*v - 7951445 = -7951445, -k = 4*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-3 + 27 + -31)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 20 = 5*o - m, 2*m + 20 = 5*o. What is the smallest common multiple of 22 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021120102120222 - 0?\nAnswer: 1021120102120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 0.4, 2, 2\/3, 27, 0.08, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let n(b) = -5*b - 6895. Calculate g(n(h)).\nAnswer: 25*h**2 + 68950*h + 47541025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.2 - 50. Let t = 7.79 + x. Let w be (-1)\/2 + 3\/4. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 3*f - 2. Let j = -18 - -14. Let u be z(j). Solve -4*c + 3 + 16 = -n, u*c + 7 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 2\/7, 0.023?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n - 6. Let q = -334 - -337. Determine z(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 489696 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10469.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 2*b - 35105873*b**2 + 35105876*b**2. Let a(y) = 3*y**2 - 9*y**2 + y - y. Give -4*a(c) - 9*f(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -21395\nAnswer: -2139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:45 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 minus 221?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -891 - -1607. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 8. Let v(f) = f**2 + f + 1. Let l be v(-1). Which is the closest to s? (a) l (b) 1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(1\/7)\/(24\/168)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 6, j: 3, n: 5}. What is prob of sequence nwje?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (-7)\/(-42)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzle when four letters picked without replacement from {m: 2, j: 1, x: 2, l: 1, e: 4, z: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 988 = -1825 + 937. Calculate the greatest common divisor of d and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3478*5\nAnswer: 17390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(-7)\/s)\/(s\/(((s*s**(-3)*s)\/s)\/s)*s\/(((s*s**8\/s)\/s)\/s)*s) assuming s is positive.\nAnswer: s**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-323)\/(-748) + (-20)\/80.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Suppose -2*a + 42 - 40 = 0. Let s(b) be the first derivative of 0*b - 1\/2*b**2 + a. Calculate s(g(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*g + 10, -46*g - 13 + 3 = 3*o - 17*g - 7*g - 21*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2821 + -2820.7. What is the closest to -3 in -3, c, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 + 109 - -81) + -83?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1176 = -413*n + 416*n. Calculate the remainder when n is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 11:50 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 244\/28 + (-4)\/(-14). Let r(j) be the third derivative of j**4\/24 - 2*j**3 - 2*j**2. Let q be r(g). Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118983.5362 rounded to the nearest 1000?\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -861?\nAnswer: -258.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3968.351ml to litres.\nAnswer: 3.968351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 16*l + 7. Let m be q(-17). Let y be ((-24)\/(-40))\/((-2)\/m). Suppose n + y*f = 159 + 11, n - f - 158 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 943508 + -447199. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -1, 5, 1, -3 in descending order.\nAnswer: 92, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let j(r) = -2367*r**2 + 8 + 4744*r**2 - 2419*r**2. Determine y(j(x)).\nAnswer: 3528*x**4 - 1344*x**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y - 3. Let f(l) be the first derivative of -4*l**2 + 2*l + 23. Calculate -7*f(i) - 5*x(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1313 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/3435 - -15647\/2290. Calculate the common denominator of o and 13\/(-104) - 721\/(-392).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1982 - -1982. Let s = 0.87 - 0.37. Which is the nearest to l? (a) -0.2 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r**2 + 4*r - 7. Suppose 3*y - 3*s + 21 = 0, 0*y = 3*y + 2*s + 26. Let x = 13 + y. Let l be n(x). Solve -5*z + 2 = -l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 - 3*n + 2. Let h(k) = -4*k**3 + 7*k**2 - 9*k + 7. What is -2*h(b) + 7*j(b)?\nAnswer: b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/7))**10\/(f*f**27\/f*f*(f\/(f\/(f**(-3\/17)*f*f))*f*f)\/f) assuming f is positive.\nAnswer: f**(-2138\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575004*r**4*x - 3*r**2*x**2 - 956*r*x**2 + 2*r + 2288*x**2 - x wrt r.\nAnswer: -6900048*r**2*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2792*f = 2776*f - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3041.9 + -3041. Put 0, -0.07, -5\/6, l, -1\/3 in descending order.\nAnswer: l, 0, -0.07, -1\/3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 3)*(-3*d + 2*d + 2*d + (-197 + 197 - 5*d)*(-4 + 0 + 3)) in the form p*d + z and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1669*z**3 + 2*z**2 + 2*z. Let r(k) = -9736947*k**3 + 11669*k**2 + 11669*k. Calculate -2*r(j) + 11669*t(j).\nAnswer: -1667*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597300.\nAnswer: 2, 3, 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274209 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 2*t**3 + 1 - 1.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 121*n + 123*n = 13, -5*n + 25 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244725, -245065, -245405, -245745?\nAnswer: -246085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1162770 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2 - 1 + f**4 - 6*f**4 + 2*f**4 + 2*f**4 + (3*f - 2*f - 4*f)*(2*f**3 + 3*f**3 - 4*f**3).\nAnswer: -2*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.119207*921\nAnswer: 109.789647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11752 (base 8) to base 11\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.5, 903, -85, -2, 1\/6 in increasing order.\nAnswer: -85, -2, 1\/6, 0.5, 24, 903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = v + 5, 4*w + 4*v - 1 = 39. Suppose 1 = w*i - 14. Suppose -y + 56 = g, 3*g + y - 168 = -i*y. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -39, -2 in decreasing order.\nAnswer: 0, -1, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-6) - 2) + -2. Let o = 1310 - 1305. Which is the nearest to 0? (a) o (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 0*u**3 + u - 4*u**3 + u**3 as p*u**2 + k*u + t + x*u**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14904, -14907, -14900, -14877, -14832, -14759?\nAnswer: -14652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*w - 83*w - 65*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 c, and 1 v when four letters picked without replacement from {h: 3, y: 1, c: 3, r: 3, v: 2, l: 1}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/(-2))\/(18\/120) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -315*y + 401*y - 183*y + 5 - 3 in the form s + q*y and give q.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -3\/77, 2\/3 in descending order.\nAnswer: 2\/3, -3\/77, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 352, 8, -6 in decreasing order.\nAnswer: 352, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 10, k: 1, v: 2, a: 2, e: 3}. What is prob of sequence eae?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 263821, 527634, 791439, 1055242, 1319049?\n\"Answer: f**3 - 10*f**2 + 263836*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 470\/13 + -36. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:25 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161351bc + -2?\nAnswer: 161351ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*n + 5 = 0, -4*i + 38*n + 24 = 37*n. Which is the closest to 3? (a) -1\/2 (b) -1\/3 (c) i (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by ((-2)\/4)\/((-2)\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.8 (b) 14.9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 1, h: 4, g: 1, o: 2}. Give prob of sequence rgrh.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14757829945071 + 14757837901360.999993. Let g = 7956286 - c. Let r = g + 4. What is r rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212111011200 (base 3) to base 8.\nAnswer: -11676654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3178*q + 4824592. Determine b(1122).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 14 = 3*g. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -14) + -8 + (7 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0112171403 rounded to 6 decimal places?\nAnswer: 0.011217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 33948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4895 and 3560?\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -107440 (base 9) in base 15?\nAnswer: -141ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24792 and 20233371.\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/5 + 7183*q**3\/5 + 3438741*q**2 + 2740672745*q - 5495111950 = 0. Calculate q.\nAnswer: -2395, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -89)\/340*-410?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3234*5.57\nAnswer: 18013.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23804563 is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 375 = -9*y. Let n(z) = -14*z. Calculate the remainder when y is divided by n(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -5*v**4\/12 - v**3 - v**2\/2 + 4*v. Factor t(n).\nAnswer: -(n + 1)*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djv when three letters picked without replacement from cvdjcaccaaaadccaa.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15300 divided by 15300\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 179. Give h(0).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707841840.\nAnswer: 2, 3, 5, 419, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + 28 + -11 + -5 + -11 + -27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 20 = w. Suppose -w = -6*v + v. Let c(i) = -6*i + 4 + v*i - 6 + 1. Calculate c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*(28\/8)\/(-7). Suppose 3*j + l = 43. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 4236*s - 13023*s - 6919*s.\nAnswer: -15706*s + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 621 and 285.\nAnswer: 58995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m + 2670 = 3*k + 13*m - 37*m, 0 = k + 22*m + 320 + 470 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98540 and -96.\nAnswer: -9459840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 3*g - 2. Suppose 70 = -3*u + 52. What is o(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5725.14 to the nearest ten.\nAnswer: -5730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*o - 28, 3*v - 3*o - 51 = -v. Suppose 0 = 3*k - 2 - 7. Calculate the remainder when v is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 110 - 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g)**(-2\/27)\/(g\/((g\/g**(1\/6))\/g*g)*g*g**(-6\/5)*g))**(-3\/13) assuming g is positive.\nAnswer: g**(241\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:42 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 1. Let h be y(1). Let q(i) = i**3 - 4*i**2 + 3*i - 1. Let a be q(h). Let k be -2*(-2)\/(-8) - 1. Sort k, -2\/13, a in increasing order.\nAnswer: k, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 2*q**2 - 2*q**2 - 5 + 9*q**3 + 5 + (2*q**2 - 2*q**2 + 2*q**2)*(-2*q - 5*q + 5*q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s - 700. Let d(k) = -5*k + 699. What is 2*a(n) + 3*d(n)?\nAnswer: -n + 697","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*i**2 - 3*c**3 + 4*c**2*i**2 - 126*c*i + 3*i**2 wrt c.\nAnswer: 6*c*i**2 - 18*c + 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -2. Let g be ((-12)\/(-8) - 2)*(-6)\/(-15). Is u at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {k: 3, r: 4, n: 5}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -2\/5, -2 in increasing order.\nAnswer: -181, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735490 to the power of 1\/2, to the nearest integer?\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 8, -1, 7, -9, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437177301 to the power of 1\/2, to the nearest integer?\nAnswer: 37910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -8)\/((-1)\/(-2)). What is the remainder when -3 + 0 + 208 + w is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -420. What is the tens digit of 2\/3 - z\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310387 and 5539?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 772 - 733. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*t + 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -2 - -13) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4882 + 4.39. Let f = q + 0.018. Let d = f + 0.1. What is d rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by -5.\nAnswer: -193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f + 15251 = 50*f + 163*f for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(704) + sqrt(704) + (-4*sqrt(704)*1)**2 + ((sqrt(176) - ((sqrt(176) + sqrt(176)*-2)*-1 - sqrt(176))) + sqrt(176)*2 + 5)**2.\nAnswer: 136*sqrt(11) + 12867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a. Suppose 0*h + 2*h - 40 = a. Calculate the remainder when 38 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2222 greater than or equal to -980.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 57112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otyttyto. What is prob of sequence yyto?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123165 and 414.\nAnswer: 246330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11745589 times -0.1\nAnswer: 1174558.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 51. Let x(b) = 2*b + 0*b + 11 - 4*b - 12 + i. Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*x**4 + 3214900*x**2 - 2*x + 23014376.\nAnswer: 456*x**2 + 6429800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 100910 + 100910. Let w(j) be the second derivative of 0 + 0*j**2 + 1\/6*j**4 + 0*j**3 - j. What is w(i(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021 smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -23*u - 54 - 18. Sort 5, -4, u, 22 in decreasing order.\nAnswer: 22, 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*n + 2*n = -3, -4*n = 3*w - 12. Let u = -6 + 8. Put 5, u, 4, w in decreasing order.\nAnswer: 5, 4, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 852, 1924, 3426?\nAnswer: 5358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 257 = 3*w, 5*o + 65 = -5*w + 320. Suppose -6*i = -4*i - o. Calculate the remainder when -6*i\/(-4)*3 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 14*c**2 + 39*c - 47. Give s(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 26777 = -m, 1722 - 7075 = -p + m. What are the prime factors of p?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*r + 26 - 62. What is the second derivative of -99*a**r - 12*a + 91*a - 25*a**2 - 90*a**2 wrt a?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15532, 29593, 43666, 57757, 71872, 86017, 100198, 114421?\n\"Answer: b**3 + 14054*b + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 737470, 737468, 737466, 737464, 737462?\n\"Answer: -2*d + 737472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**3 + 107*p**2 - 34*p**2 - 89*p**2 to b + v*p**3 + f*p**2 + t*p and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most 100293199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6*1)\/(9\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 48382805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 16. Let d(f) = -6*f**2. Calculate i(d(l)).\nAnswer: 180*l**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*(-6*(-2*sqrt(170) + sqrt(170)) + sqrt(170)))\/(4*-5*(-2*sqrt(490) - sqrt(490))))**2.\nAnswer: 17\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -634, -632, -628, -622, -614, -604?\n\"Answer: n**2 - n - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.5. Let k = -6928\/15 - -462. Let h = 10 - 10.03. What is the third smallest value in h, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6552799099?\nAnswer: 7, 11, 101, 842587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6305 is divided by 6141?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 538.2 - 431. What is p rounded to 0 decimal places?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 993306880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 73242.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28089 + 28089 - u**3 + 318*u + (-2*u**2 - 5*u**2 + 4*u**2)*(u + u + 0*u).\nAnswer: -7*u**3 + 318*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 531898, 531899, 531900, 531901?\nAnswer: 531902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 8 - (922 + -943).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = -7*q. Let m(u) = 11*u + 2. Let n be m(q). Which is the second smallest value? (a) 0.05 (b) n (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -840\/11 - 2\/11*f**3 - 218\/11*f**2 - 848\/11*f = 0.\nAnswer: -105, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 + 2 = -4*r, -4*r - 9 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 2. Let x be q(7). Which is the third biggest value? (a) 4 (b) x (c) 1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 55*x**3\/3 + 2. Let j(d) = -7*d**2 + 3*d - 18. Let h(a) = a**2 - a + 6. Let m(g) = -3*h(g) - j(g). Determine k(m(f)).\nAnswer: 880*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 20*k - 18 = 0. Find the third derivative of -6*u**2 + 3*u**2 - 32*u**5 + 57*u**6 - 119*u**k + 60*u**6 wrt u.\nAnswer: -240*u**3 - 1920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 11. Let l(x) = x**3 - 4*x. Let f(c) = -c**2. Let u(h) = a*l(h) + 2*f(h). Give u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187 or -1?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010865.108 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11)\/r*r**1*r)\/(r*r**(-2\/51)*r*r**11))**(-3) assuming r is positive.\nAnswer: r**(1171\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:55 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4348 + 59.7088985\nAnswer: 4407.7088985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1296b?\nAnswer: -1296b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7705 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3526307 or 0?\nAnswer: -1\/3526307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-30) + 418\/190. Solve -25\/6*x + 0 - 5\/6*x**w = 0 for x.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*l - 1369*l + 196938 = 0 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*i**3*r + 2*i**3 + i**2*r + 16*i*r wrt i?\nAnswer: -264*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.29718 rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/448 and -29\/768.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 59*a**2 + 108*a + 325. What is k(57)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7530600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let h be q(-4). Let m be 133\/h - 4\/(-16). Calculate the remainder when -2*(-1)\/(-2)*m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + -17 + 36 + -25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 59. Which is the nearest to -29? (a) -0.4 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 12. Let t be z(-19). Suppose -475 = -t*l + 365. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 23 + 1 = 0. Let i(r) be the third derivative of -r**4\/24 + r**3\/3 + r**2. Let q(w) = -1. Give c*q(t) - i(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-2)\/(-8) - 0). Suppose -6*n + y = 4. Let z = -9 - -23. What is the least common multiple of z and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 3*n**2 + 9*n + 11. Let m(u) = -3*u - 24. Let r be m(-7). Let a(s) = -s**2 - 4*s - 8. Let p be a(r). Is w(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2301*d**3*o**2*s**2 + 2*d**3*o**2 + d**3*o*s**2 + d**3*s**2 - 2*d**3*s - 12*d*s**2 + 2*d*s wrt o?\nAnswer: 4602*d**3*s**2 + 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157341 and 1074?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183 or -18?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5238 - 8505. Let s = -13872.985 - f. Let b = -130 - s. Round b to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 2, y: 2, m: 1, s: 1}. What is prob of picking 2 h, 1 s, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 20. Suppose 0 = r - 3*y + 4, r = 4*y - w + 2. Let t be 120002 + (r - (-4)\/2). Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Put -5, q, -2\/5 in descending order.\nAnswer: q, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/(-70))\/((-2)\/(-20)*-2). Solve -x*i - 23 = -11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*m + 83*m**4 - 24*m + 55*m**4 + 2*m**4 - m**3 + m**3 + (2 - 2 + m**2)*(-2*m**2 + 3*m**2 + m**2).\nAnswer: 142*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 15, 5*u - 9 = j + j. Let h(f) = -f**3 - 11*f**2 + 12*f + 6. What is the remainder when 22 is divided by h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, 1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*s + 123*s - 114 = 0. Suppose 4*c = 2*c - 44. Let f = c + 96. Calculate the remainder when f is divided by s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/7 - 8524*d**4\/7 + 553872*d**3\/7.\nAnswer: 2*d**3*(d - 4196)*(d - 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 162*u + 158*u = 0, -z + 3*u - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-9)\/v))\/(v*v**(-8)))\/((v*v**2)\/v)**(-43) assuming v is positive.\nAnswer: v**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1229, -1249, -1281, -1331, -1405, -1509, -1649?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43552 is divided by 14407.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26505 divided by 5301.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-8))\/((-7)\/(-28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000379985 to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Let z(c) be the third derivative of 0*c + 0*c**3 - 1\/72*c**4 + 1\/180*c**5 - a*c**2 + 0. Factor z(s).\nAnswer: s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15876 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9deb9d (base 15) in base 8?\nAnswer: 34613145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2432120 - -422321?\nAnswer: -2004244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 6*x**2 + 6360*x - 714. Calculate a(47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (-1 - 22) - 28) + 111?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 943 = 3*t - 4*a, -431 = -3*t + 3*a + 517. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 716*u + 11441. What is l(-16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from lffmrpi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g + 42. Let b = 141 + g. Calculate the highest common factor of 40 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 bigger than -20.98273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 51*o - 550 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140.3 - 140.30000231. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2025655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.21 + 3.3. Let a = 0.01 - h. Let v = a + 0.08. What is the closest to v in 2, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049372796.\nAnswer: 2, 3, 359, 243587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -373902 or -373906?\nAnswer: -373902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -48. Let j = w - -21. Let l be (6\/9)\/(j\/(-30)). Solve 0 = -x + 2*k + 1, -2*x = x + k + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35856, -35861, -35866, -35871?\n\"Answer: -5*a - 35851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) -0.1 (c) -65 (d) 3 (e) -2\/5 (f) -1\/5 (g) 13.67\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 649618 < 649423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1350448 and -43\/759627.\nAnswer: 12154032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 - j - 1. Let v(s) = -189*s**3 - 101*s**2 - 4*s - 4. Let f(x) = 4*o(x) - v(x). Find the third derivative of f(l) wrt l.\nAnswer: 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47878 (base 11) to base 7.\nAnswer: 404655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.9 in 0.5, 4, 137, -0.04, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.22, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -130\/3. Suppose -i = 6*r - 5*r - 5, -5*i + 5 = 0. Let q = 26\/7 + -4. Which is the nearest to q? (a) p (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*c, 5*q + c + 15 = 6*c. Let k be (-310)\/(-15) + q\/(-3). What is the highest common factor of 60 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 1836 = 9*c. Let r = 109 + c. Sort -1\/6, -3, 0.02, r.\nAnswer: -3, -1\/6, 0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04318032 rounded to five dps?\nAnswer: 0.04318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 + 11*j**5 - 21*j**4 - 475*j**2.\nAnswer: -120*j**3 + 660*j**2 - 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (-2 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4799584\/(-80) + (-1)\/5. What is the tens digit of 36\/(-66) - r\/143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 390, 1047, 1960, 3123?\nAnswer: 4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -9.08, -1\/12, 0.005 in ascending order.\nAnswer: -9.08, -2, -1\/12, 0.005, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60511 + -31820. What are the prime factors of c?\nAnswer: 13, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 8. Let i be b(4). Let j = i - -22. Solve 3*l - j = o - l, 0 = -o + l + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2\/7 - 4*a\/7 + 48\/7 = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63687*q**3 - 54685*q wrt q.\nAnswer: 382122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 493 in increasing order.\nAnswer: 1, 3, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 17*w + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25652 and 954?\nAnswer: 230868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a08 (base 14) to base 15\nAnswer: 8b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (2 + 1242\/8)\/(32\/8192)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34704712 - -0.03528?\nAnswer: 34704712.03528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = g, 4*g + 0*g - 5*g = 4*q + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(-1 - 3 + 2) + 1 - 3 - 3)*(3*r**3 + 0*r**3 - 5*r**3).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*v + 2)*(167 + 130 - 97) + 0*v - 2*v + 4*v - 2*v + 2 - 2 to c + d*v and give d.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/4 (b) -1\/7 (c) 46 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12422, -12522, -12802, -13352, -14262, -15622?\nAnswer: -17522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9283301632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -c - c. Suppose -42 = -3*f + c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*x**4 - 2*x**3 + 50*x + 213414 with respect to x.\nAnswer: -80*x**3 - 6*x**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(612)*3 + 4).\nAnswer: -144*sqrt(17) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 4 + sqrt(17)*1)**2.\nAnswer: 23 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -5 (c) -4 (d) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i**2 - 6*i - 2*i + 16 + 14*i**2 = 0. Calculate i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -40, -110, -204, -322, -464, -630?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**3\/6 - j. Let m(s) = -13*s**2 + 14*s - 37*s + 23*s. Give t(m(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 418, -1676, -7358, -18422, -36662, -63872, -101846?\n\"Answer: -299*n**3 - n + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*d + 744 = 0, 0 = -0*k - k + 5*d + 198. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19644479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*p + 38 = -345*p. Sort -11\/5, -4, 1, p, -12 in ascending order.\nAnswer: -12, -4, -11\/5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = o. What is the units digit of 4\/16 - (-12)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 70 + 97 = -t, -3*t + 3 = 0. Solve 0 = 4*u + 5*p, -27*u + q*u = -2*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460132.\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 8*p - 1. Let c = -378 - -252. Let y be c\/27*((-1)\/2 + -1). Calculate the smallest common multiple of o(y) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 101 = -4*x - 3*d, 2*x + 4*d = 52. Calculate the greatest common divisor of 216 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from 2.2.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 2:29 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 2\/(-2) - (-9 + -9 + 5). Solve -m*k + 4 = 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 6:20 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/8503, -2\/25, 3.52.\nAnswer: -2\/25, 2\/8503, 3.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30*(12\/15)\/2. Let t be (s - 11) + (-7)\/(-1). Suppose 4*o - 41 = 5*p, 5*o + 3*p + 1 - 6 = 0. Solve -t = -o*q, -7*u + 5*q = -3*u + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - 1*(sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12)))\/sqrt(4).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 37*f - 495 = 0. Let t be 45*((-93)\/f + -5). What is the highest common divisor of t and 918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119232?\nAnswer: 2, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 13*o - 14. Suppose 0 = 9*y - 13*y + 36. What is the lowest common multiple of r(y) and (-4)\/(-22) + 546\/143?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 16 (b) 0.5 (c) -4 (d) 90\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-12)*4\/(-3). Let h = -6 - -9. Suppose y*k + 10 = 2*j, -2*j + j = -h*k - 9. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = 491*t - 95 - 3531 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981?\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22257*k**4 - 2*k**3 + k**2 - 11*k + 7533646?\nAnswer: 89028*k**3 - 6*k**2 + 2*k - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + n + 2. Let m(a) = 7*a**2 + 4*a + 7. What is 6*m(x) - 22*w(x)?\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 86?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t - 3. Let r be b(-4). Let l(h) = h + 6. Let k be l(0). Let a be (20\/(-6))\/(k\/(-9)). Solve 0 = -a*z - 3 + r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*c = -27*c. Let j(x) be the second derivative of -8*x + 0 + 5\/24*x**4 + c*x**2 + 0*x**3. Factor j(v).\nAnswer: 5*v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 553892481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**3 - 7*c**3 - 3*c**3.\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 189a37 + -2?\nAnswer: 189a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12072*j + 1748540 - 1614652 + 2351665 = -32959*j for j.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72632923 to the power of 1\/2, to the nearest integer?\nAnswer: 8522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i - 57*i + 120*i - 13*i**2.\nAnswer: -13*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -368*0.06\nAnswer: -22.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/2 - 25*w**3\/3 - 5*w**2 + 29*w - 64. Let u be j(-12). Solve -c + 4 = u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 6. Suppose 85*x = -719*x + 3216. Is x less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 6*y + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 63\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 2, y: 12}. Give prob of sequence ww.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-3 + sqrt(1280))\/((1*sqrt(70))\/sqrt(7)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.39 + 7.39. Sort 0.3, f, -8.4 in decreasing order.\nAnswer: f, 0.3, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:22 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -4ab?\nAnswer: -4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m - 49*m + 3*d - 53, 3*d + 5 = -m. Let l(w) = -36*w - 1041. Calculate l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 9}. What is prob of picking 1 o and 1 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*x + 3*i, -x + 2*i + 50 = 3*x. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 0*l**3 + 0 + 1\/4*l**5 - 1\/24*l**6 + 4*l**2 + 25\/12*l**4 + 0*l. Factor d(f).\nAnswer: -5*f*(f - 5)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 4. Let o(c) = 0*c - 6*c**2 - 7*c + 0*c**v + 1. Let l be o(-5). What is l rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -154, -163, -190, -241?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 94678 + 10823 = -5*y, 3*y + 2*t - 50313 = 0. What is the greatest common factor of y and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t**(-7))**(-12\/17)*((t\/((t**(-5)*t)\/t))**(-3\/11))**(4\/23) assuming t is positive.\nAnswer: t**(53424\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13740113 (base 8) to base 14.\nAnswer: -5b665d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -226044*t**2 - 50196*t + 8.\nAnswer: -4*(9*t + 2)*(6279*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 4 = 0. Let b be (54\/(-36))\/((-22)\/44). Sort y, b, -6, 0.3 in increasing order.\nAnswer: -6, 0.3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*h**2\/2 + 19167*h + 2294820.\nAnswer: 3*(h + 132)*(9*h + 11590)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 410 + -397. Suppose 0 = -5*m + 5 + 25. What is the remainder when i is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12584\/28314)\/((-88)\/(-27))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n = -40*n - 15*n + 110 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/5963 - 3154418\/17889. Let k = x + 176. Which is bigger: 56 or k?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 - 0.13. Which is smaller: -2\/9 or t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 163 = -50 - 51 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7747702757 - 4907497243 = -834*d + 858*d. What is d rounded to the nearest one million?\nAnswer: -527000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16136660 - -2?\nAnswer: 16136662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4 + 7. Suppose -x*m + 40 = 2*m. Suppose 5*r - 12 = m. What is the remainder when 13 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 387 + 6*q**2 + 198 - 5*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (-7 + 12)) + (-826 - -831)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*w - 9 - 0, 4*w = -3*q + 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.8, 104698, -1, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191277\/10 + -19119. What is the common denominator of ((-2)\/74)\/((-6)\/130) and q?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 + -1e99?\nAnswer: -1ed2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -581 + 8*(-6)\/(-8). Let g = 39118 + r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - (-3 - (4 - 7))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-2\/65))\/u))\/u*u\/u**(-7\/5) assuming u is positive.\nAnswer: u**(158\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 21*v - 5*o - 210, -150 = -3*v - 3*o. Suppose 2*l = -2*w + 50, w - 3*w + 2*l + v = 0. What is the greatest common divisor of 156 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4939.89966 to one dp.\nAnswer: -4939.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 7 + -10 + 11. Let f(q) be the second derivative of 1\/2*q**2 + 0*q**3 + 3\/10*q**6 + 0*q**5 + 5*q + i + 0*q**4. Differentiate f(z) wrt z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347362 is divided by 34735.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(2448)))**2 + (sqrt(2448)*-2*4 + sqrt(2448))**2 + (sqrt(2448)*-3*3 + sqrt(2448) + -2*sqrt(2448)*5)**2.\nAnswer: -384*sqrt(17) + 952288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 482, 2424, 5822, 10664, 16938, 24632, 33734, 44232?\n\"Answer: -2*m**3 + 740*m**2 - 264*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 10*d**2 - 12*d - 7. Calculate q(-10).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q**2 - q + 8. Let b(s) = s**3 - 8*s**2 + 7. Let y(k) = -4*b(k) + 3*i(k). Give y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2509, -2501, -2493?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5404 + 5406.28376. Let x = z - 2.29. What is x rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-27)\/(-39 + 228))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-17)\/34 - (-14)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7)*(-2)\/(-4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 18*q - 70 = 0. What is the units digit of -6*29*(q\/10)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -3*t - 6, 0 = -2*u + 2. Let l be t\/1 - (-8)\/16*8. Suppose -1 = v - 4. Solve q = l*q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 + 0.04. Let a = u - 1.37. Let m = a + 1.4. Sort 4, m, -2\/5.\nAnswer: -2\/5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*m**3 - 12*m**3 + 80*m**3 + 6*m - 6*m.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 5, g: 5, s: 1, b: 3}. Give prob of picking 1 g, 2 r, and 1 k.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 3:26 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 204 = 8*i. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let n(a) = -148*a - 1. Let d(g) = 147*g + 1. Let b(q) = 3*d(q) + 2*n(q). Calculate h(b(x)).\nAnswer: -145*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58906, -58906, -58908, -58912, -58918, -58926, -58936?\nAnswer: -58948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*u - 3564 = 254*u. Let z be u\/(-102) - (0 + 0 - 4). Which is the second smallest value? (a) 42 (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 w, and 1 t when four letters picked without replacement from rnrwtnnknwnwnrrkwn?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/131 - -5782\/393. Let i be ((-10)\/3)\/(6\/99). What is the common denominator of g and (i\/(-10))\/((-7)\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 5) in base 2?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 2\/11 (b) 60 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 562712. Let m(r) = r. Determine m(n(p)).\nAnswer: -4*p + 562712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -41. Suppose -r - b = -4*r - 3*d, 4*d = 16. Solve r*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2438000 to the nearest ten thousand.\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.2 - 24. Let i = -8 - u. Let g = -31.96 - -32. Which is the third smallest value? (a) g (b) i (c) 2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 2 - (7 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1030275 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-264)*-77*2\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.2. Let g be (-24)\/(-18)*6\/4. Sort j, -2, g in increasing order.\nAnswer: -2, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 0.3 (c) 0 (d) 0.1 (e) 0.02 (f) -1113\/50 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + 2 - -4 - (-24 + 4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o + 12. Let d = o + -5. Solve 5*g - 10 = 5*x - 0*x, -d*g - 4*x - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249950 divided by -50.\nAnswer: 4999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15)*(-5)\/40)\/(-11*19\/1881)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 5*i + 3 = 0, -3*a = -5*i - 11. Suppose -a*k + 5*t + 2380 = 0, 2*t - 3762 = -3*k - 192. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5073 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12.2006 * 855\nAnswer: -10431.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 24997 greater than or equal to 24998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2349 + -2279. Let c be 12 + 0\/1 + 2. Calculate the greatest common factor of i and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.003 (b) -152\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -5235.\nAnswer: -523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 3*n + 14, 3*c = n + 40. Let o be 8\/(-3)*3\/(-2). Suppose -o*v + c = -2*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-798) - 20540\/570?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -10 + (-309 - -316)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 564742393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 32042.46\nAnswer: -224297.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 326*m**3 + 0 - 1 - 14*m**4 + 0 + 2*m**2 + 5*m**4 + 6*m**4 to the form x*m**3 + l*m + w*m**2 + f*m**4 + o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-650)\/(-75))\/((-4)\/(-6)) - 5. Suppose -u = 489*w - 493*w. Let l be 16\/6*(-9)\/(-6). Solve -3*m = w + l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-9) + -12)*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b + 133. Give p(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(425) + 2 - sqrt(425))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Suppose -m*w + 35 = -117. Suppose 0 = -2*l + 2*f + 14, 4*l - 35 = -416*f + 419*f. What is the least common multiple of l and w?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*v + 274 - 449 = 677 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(15\/(-6)*2\/(-10)). Let s(p) = -7*p**2 + 8*p**i - 7*p**2. Let d(b) = 2*b**2. Calculate d(s(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.816 - 2.7. Let l = -22324.28 + 22324.1639933. Let w = l + u. Round w to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1117656 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*w**4 + 6*w**4 + 2*w + w**4 + 5*w**4 - 16*w**4 - 84*w**2 to m*w**3 + k*w**2 + i*w**4 + p*w + d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - 1 - -10) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -71. Let g be 3\/y - (0 + 49\/(-133)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**8\/28 + d**7\/6 + d**4\/6 - 68*d. Find the third derivative of u(x) wrt x.\nAnswer: 240*x**3 + 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let w be (-5 + 7)\/((-4)\/(-10)). Suppose 4*m + w*c = 41, -5*m + 31 = c + 6. Put 0, t, m in decreasing order.\nAnswer: m, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/33 + 210\/66. List the prime factors of (7\/a)\/(12\/180).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 77\/(-22) - (-2)\/4. Sort 1, l, -4.\nAnswer: -4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**16*k)\/k)\/(k\/(k*k*k\/(k*k*k\/k**(7\/8)*k)))*k**3*(k*k**42*k*k)\/k)**(-2\/47) assuming k is positive.\nAnswer: k**(-511\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 + 307. Let z be (-6)\/(-21) + (t\/14 - -4). Is -1\/279 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3925423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - 2*sqrt(77))*6 + sqrt(77) + sqrt(77))\/(sqrt(11) - -5*sqrt(33)\/sqrt(3)) + sqrt(70)\/(-6*-1*sqrt(10))*-5.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103311230313 (base 4) to base 9.\nAnswer: -10706010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuq when three letters picked without replacement from uppyequq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -128297, -7, 5 in ascending order.\nAnswer: -128297, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2374413.281 to the nearest 100.\nAnswer: -2374400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -869 divided by 1\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 43*r - 22*r - 49*r + 4*r**2 + 9. What is d(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.01, 2\/9, -0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.91 and -5.8?\nAnswer: -22.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*b)*(-22*b + b**4 - 3 + 22*b).\nAnswer: -2*b**5 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8329\/120 + -208\/3. Let o(c) be the second derivative of 0 - 1\/8*c**4 + y*c**5 + 8*c - 1\/4*c**3 + 0*c**2 + 1\/20*c**6. Factor o(j).\nAnswer: 3*j*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**5\/20 + l**4\/4 + l**3\/2 - 7*l**2\/2 + 59*l. List the prime factors of n(6).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117) - sqrt(13))*-2.\nAnswer: -4*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2781 + 2080. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/47, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 223?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/5 - (-128599878)\/(-30). Let l = 3006662 + t. What is l rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16174311?\nAnswer: 3, 5391437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 598 and 0.428.\nAnswer: 255.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -56, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1, 1527 in decreasing order.\nAnswer: 1527, 1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 4 = 103. Suppose -12 = -r + 4*l, -26 = -5*r + l + 2*l. Suppose -139 + 359 = r*x. What is the highest common divisor of t and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119016 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -6, -4, 4, -3.\nAnswer: -6, -4, -3, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261006937*4.\nAnswer: 1044027748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 87. Let t = p - -40. What is the second derivative of -50*c**t + 17*c + 7*c + 40*c**4 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpultwupuptppppwppwu. What is prob of sequence wpt?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3 - 141876*s**2 - 2980370*s + 6528228 = 0.\nAnswer: -23, 2, 70959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7062*y**3 + 19*y**2 + y - 7. Let x(q) = 7062*q**3 + 24*q**2. Let h(i) = 3*l(i) - 2*x(i). What is the third derivative of h(p) wrt p?\nAnswer: 42372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5 + 14*c**4 + 38*c**3 - 14*c**2 - 36*c = 0?\nAnswer: -2, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 - 4*w + 3*w - 34*w**3 + 0. Let y be q(-1). Let a = y - 22. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*t - 44 = -530*t. Let q(h) be the first derivative of -1 + 2*h**t + 0*h + 0*h**2 + 11\/3*h**3. What is the third derivative of q(a) wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = -21. Suppose -38 - 101 = -r*o + 4*j, 0 = 3*j + 3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 78 + 7. Let z = g - 17. Let j(s) = -39 + 38 + z*s + 4*s. What is j(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -0. Suppose -2*y - 28 = -5*p, -p - u*p + 3*y = -24. Solve 0 = -m + t, 4*m = -2*t - p + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2312, 2284, 2260, 2240, 2224?\n\"Answer: 2*k**2 - 34*k + 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -49, -47, -45, -43?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = a + 6*a - 5*a - 122 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*o**4 + 1376*o**2 - 2*o + 12 wrt o.\nAnswer: -576*o**2 + 2752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.009, -3\/7, -1\/4, -0.03 in descending order.\nAnswer: -0.009, -0.03, -1\/4, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -516333*s**2 + 5 + 515338*s**2 + s - 10 in the form y*s + d + q*s**2 and give q.\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 10, -1\/7, 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 14023?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 1 + 1 - 5*x)*(-2 + 3*x + 2) + x**2 - x**2 - 35*x**2 to t*x + w*x**2 + n and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7791*s - 288368 = 537478 for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*((-4)\/(-2) - 1). Let d be 4*(-1 - (3 - 3)). Let b = d - o. Let l(s) = -2*s + 2. Give l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + -3323311330212?\nAnswer: -3323311330100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = d, 2*p = -3*d - 2*p - 7. Let q be 3\/((-3)\/d) - -5. What are the prime factors of (q\/4)\/(2\/8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 + 6*x - 6. Let i be q(4). Suppose i*m - 75 = -3*m. Solve k = -4*k - m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 6:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/6 + 2*s. Let a(f) = f. Give a(k(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -33*g - g - 204. Which is the nearest to 0.6? (a) g (b) -10 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59864376 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 2*c**2 - 2*c. Let p be k(2). Calculate the remainder when 13 is divided by ((-40)\/(-30))\/(p\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = l. Let h(k) = -6*k - 1. Let t(c) = -13*c - 2. Suppose -2*v + 0*v - 18 = 0. Let o(i) = l*t(i) + v*h(i). What is the derivative of o(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:20 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2200?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9097 - 5293. Is b a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcc when four letters picked without replacement from rcrqqc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -70. Let l = v - 8. Let o = -7 + 7.3. What is the nearest to 2\/7 in o, l, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 498*h**2 + 695*h**2 - 307*h**2 + 11*h + 319*h**2.\nAnswer: 1205*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 + 6*m + 9. Suppose 6*h - 6 = -12. Let r(x) = -x**2. Let c(l) = h*j(l) + 4*r(l). Factor c(s).\nAnswer: -(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:31 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/14 - (-4)\/(-14). Suppose -2 = d - m. Let w(k) = -k + 1. Determine w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t - 7. Let l be x(-2). Sort -3, 0, l in descending order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 7. Let a(y) = -3*y**2 - 4*y - 2. Let t be a(-2). List the prime factors of i(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 2. Let d be z(-3). Let y = 1.5 + -253.5. Let k = -255 - y. Sort d, -1, k, 0 in ascending order.\nAnswer: d, k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 - (0 + 3)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -12*l**3 - 1. Let f = -83 + 82. Calculate the remainder when 51 is divided by h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:07 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488*j**2 - 4954*j\/5 + 4\/5 = 0 for j.\nAnswer: -2\/3, 1\/1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5086.\nAnswer: 2\/2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - -2*sqrt(153)*2) + sqrt(153))*2*-6)\/((sqrt(99)*2*-4 + sqrt(99))\/(sqrt(99)\/sqrt(81) - sqrt(11))).\nAnswer: -48*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 177 = 112*b. Put b, -1, 197, 0.5 in decreasing order.\nAnswer: 197, b, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 43, -9 in decreasing order.\nAnswer: 43, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 40. Let f be n(-17). Let s be (9\/(-6) - -2)*f. Factor -3*k**2 + k**s - 3*k**2 - k + 7*k**2 - k**4.\nAnswer: -k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*-3*(sqrt(99) - (sqrt(99) + 2))*-3)**2.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/10 - (-21)\/3. Which is bigger: f or -0.03?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 189*q + 3987. Calculate v(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298, -1307, -3024, -5449, -8582?\nAnswer: -12423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 9*w - 14. Let a be (-3)\/(-1) - (-2)\/(-4)*0. Suppose -39 = -a*l + 5*c, -3*l + 3*c + 38 - 5 = 0. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 3*d - 2*d)*(-2*d**3 - d**3 + 5*d**3) + d**4 - d**4 - 2*d**4.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 44?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Suppose 1 = y*g - 3. Suppose i = -3*u, -5*i + g*u + 18 = -u. Which is bigger: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 6. Let x(w) = -2*w + 5. Suppose 0 = -6*l + 8 + 10. Let h = 6 - l. Suppose 2*o = 5*b - 1 + 11, h*o = -b + 15. Calculate o*x(g) - 4*k(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203.2264 litres to millilitres.\nAnswer: 203226.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564988 a multiple of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9696713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o + 5. Determine x(-11).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*f = 11, -2*f + 862 = 4*k + 848 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 5. Let f = -19 - d. Suppose 5*v = 1 + f. What is the smallest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from qqqqbbqqqjbwqbbqbj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343047, -343054, -343067, -343086, -343111, -343142, -343179?\nAnswer: -343222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - 7 - 5 + 11)*(1 + 3 - 3) as s + t*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47\/155 + -3\/31. Let y = -8 - -4. Suppose 2 = z + 2*l - 1, 4*z = -2*l - 12. Which is the nearest to -0.1? (a) y (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 14*k**2 + 12*k + 3. Let y be d(-13). Suppose -f - 90 = -6*f. Let g = f - y. Solve -g = t - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 9*u - 315. Let o(z) = 2*z**2 - 5*z - 162. Give 6*n(q) - 11*o(q).\nAnswer: 2*q**2 + q - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + ((-6)\/(-4))\/(13\/52). Let n(m) = 2*m**3 - 4*m**2 - 3. Let s(a) = 2*a**3 - 5*a**2 - 4. What is k*s(l) + 5*n(l)?\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1120 - 1090. Solve -t*d = -31*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106182.\nAnswer: 2, 3, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 4:41 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*h**2 - 9 - h**3 + 15*h + 3 - 15*h - 30*h wrt h?\nAnswer: -6*h - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 636*n. Let w(s) = 126764*s. What is w(t(y))?\nAnswer: 80621904*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3656, -7338, -11020?\n\"Answer: -3682*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -16. What is x rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3291 - 31822*c - 6603 + 3312 in the form j + b*c and give b.\nAnswer: -31822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0, -2\/9, -25.\nAnswer: -25, -2\/9, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209889301 is divided by 4099.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19102*g**2*s**3 + 4*g**2*s**2 + 792*g**2*s - 2*g*s**5 wrt s?\nAnswer: -114612*g**2 - 120*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 2. Suppose -5*m + 2*m + 30 = 0. Let f(s) = -7*s**2 - 5. Give m*u(d) - 4*f(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58265 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: Rearrange (2*x**2 + 2*x**2 - 2*x**2)*(190*x + 216*x - 290*x) to the form h*x**2 + p*x**3 + q*x + j and give p.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 396*p + p**4 + 1 + p**2 - 6*p**4 - 405*p to d*p + f*p**3 + r*p**4 + x*p**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8 - 12 + 4*c + 7 + 2 + 2*c**2. Let h = -4 + 2. Let q be k(h). Solve 0 = -3*t - q - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142 by 56.\nAnswer: -71\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:03 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 325 = 50. What is the greatest common divisor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(-4*o + 3*o + 2*o)*(689*o + 217*o + 338*o)*(0 - 3 + 2) to the form g + m*o + z*o**2 and give z.\nAnswer: 2488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 + 0 + 13. Suppose 11*c - t*c = -6. What is the third derivative of -10*n**c + 14*n**2 - 23*n**2 - n**3 wrt n?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410 = 283*s + 561 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) 5 (c) 1\/3 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + (sqrt(605) - (-3 + sqrt(605))*6))**2 - (6*(sqrt(605) - -1*-3*sqrt(605)))**2).\nAnswer: -358695 - 8800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l**3 - 4*l + 5*l - l.\nAnswer: -43*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1449*h**3*x + 4*h**2*x**2 + 4*h*x - 219782*x**2 wrt h?\nAnswer: 4347*h**2*x + 8*h*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12.2 (b) -0.6 (c) 5 (d) -99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 565, 1094, 1623, 2152, 2681?\n\"Answer: 529*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -91. Let h be (l\/(-40) - 19\/(-24))*1161. Suppose 3*a - 44 = -4*v + h, -4*a = 2*v - 404. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -37*l**5 - 5*l**3 + 174*l**2 + 4*l. Let q(t) = -7*t**5 + t**3 - t**2 - t. Let y(p) = 4*q(p) + u(p). What is the third derivative of y(r) wrt r?\nAnswer: -3900*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -d - 10, -10 = 67*d - 65*d + 4*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7839 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1239678*m**6*o + 49*m**4*o - 787*m**2*o - 2*m**2 - 6*m*o - 3*m - 86*o wrt m?\nAnswer: 148761360*m**3*o + 1176*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1507, -3, 3, 4 in descending order.\nAnswer: 4, 3, -3, -1507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**9))\/(i*((i*i**(-2\/13))\/i)\/i)*(i\/((i**(1\/3)*i)\/i))\/i*i*i\/i**9 assuming i is positive.\nAnswer: i**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 9*d - 67. Let b be v(-14). Let x = b - 395. Solve x*j - 2*j + 12 = -2*u, 0 = -2*j + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 7766*b**2 - 217301*b\/2 + 380191.\nAnswer: -(b - 15518)*(b - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**3 - 2*x**2 + 1. Let l = 59 + -56. Suppose -l*z = 3*y + 15, -19 = -0*y - y + 5*z. Determine d(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1169, 5417, 12525, 22517, 35417, 51249?\n\"Answer: 4*o**3 + 1406*o**2 + 2*o - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**18\/u*u)*u\/(u**1*u))**(1\/90))**(-35) assuming u is positive.\nAnswer: u**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123874 and 17834?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -2.3. Let q = 0.079 + -70.079. Let t = q + 69.5. Sort z, -4, -2\/7, t.\nAnswer: -4, t, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57796330*j**3 + j**2 - 663*j - 5546 wrt j.\nAnswer: 346777980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-4)\/(-6) + (-2)\/(-6)). Suppose l = 4*t - 69 - 299. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Let g be -31 + 33 + 2*2\/(-4). List the prime factors of i + 48 - 0 - g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1034 at least -1029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*n = 7*q - 662, -n = 4*q - 911. What are the prime factors of q?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009236 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**3 - 2*p**2)*(26*p - 338 + 338)*(5 + 2 - 3) - 14*p**4 + 210*p - 210*p.\nAnswer: -118*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**17\/b))**(1\/45) assuming b is positive.\nAnswer: b**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 4979439\nAnswer: 4979343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -856724 (base 10) to base 5.\nAnswer: -204403344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldladlllahlilldalv. Give prob of picking 2 d, 1 a, and 1 h.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -192558839*j + 253289220?\nAnswer: -192558839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118964073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 9:43 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let r = -5 - -10. Let i = -200764.87 - -200765. What is the third biggest value in l, r, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*w + 52 + 386 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15796076, -15796077, -15796078, -15796079?\n\"Answer: -p - 15796075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(2\/(-48)). Solve -l - v = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x - x + x)*(2 - 1 + 4) - 10*x + 7*x - 4*x as i*x + o and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + u - 2. Let w be s(1). Differentiate 7 - 26 + w*b**2 + 8 with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -16*i**5\/11 + 104*i**4\/11 + 92*i**3\/11 - 274*i**2\/11 + 158*i\/11 - 28\/11 = 0.\nAnswer: -2, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10386586428 + -4.8?\nAnswer: 10386586423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1.5. Let q = -0.1673 - -0.6673. Which is the closest to 4? (a) l (b) 2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*y + 234 = 0, -99*m + 95*m = -y - 182. Calculate the highest common divisor of 598 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 - 4*v + 3. Calculate a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 253 = -78. Suppose 0 = 3*a - 9 - 0. What is the derivative of -30*l**a - 2 + 18*l**3 - h*l**3 - 7 wrt l?\nAnswer: -111*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1 - -5) + 1. Suppose 4*t + w*u - 39 = 0, 3*t - 11 = 2*t - u. Suppose 10 = 3*i + 5*c, 2*i + 4*c + 9 = 3*i. Which is smaller: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 218245178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-100)\/(-360) + (0 - 1\/2). Let g = -3 - -3. Which is the second smallest value? (a) -1 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 3 + 23)*(5*d - 3*d - 4*d) + 56*d + 180 - 180 - d + 0*d + 0*d to f + h*d and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 684\/(-190) - (-2)\/(-5). Let p(z) = -5*z - 5. Calculate p(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10562 (base 7) in base 13?\nAnswer: 12bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((20\/8)\/(-5))\/((-4)\/6). Which is the fourth biggest value? (a) -1 (b) 2\/21 (c) w (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 285?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -153*88.837\nAnswer: -13592.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8731.4324 and 5.\nAnswer: -8726.4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -27675?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536671 is divided by 489.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(60)\/sqrt(3) - sqrt(20))**2 - (5 + (sqrt(5) - (sqrt(220)\/sqrt(4))\/sqrt(11))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -60, -64, -54, -30?\n\"Answer: 7*d**2 - 39*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(320) + sqrt(320))**2.\nAnswer: -128*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(3645) + -1)**2 - (3 + ((-1*sqrt(1715))\/sqrt(7))**2 + 5).\nAnswer: -324*sqrt(5) + 3428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f + 10 = 0. What is the derivative of -3 + 0*y + f*y + 10 + 3 wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56454, 112910, 169384, 225882, 282410, 338974, 395580, 452234?\n\"Answer: k**3 + 3*k**2 + 56440*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {m: 4, t: 3, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 73*t - 5487. What is the remainder when k(96) is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -32*h + 973. Let c be h - (-10 - (5 - 13)). What is the highest common divisor of c and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30265419 divided by -3?\nAnswer: 10088473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743247217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57425 or -57426?\nAnswer: -57426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 292\/5, 32, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 11*w + 0*w)*(-4 - 7 + 33).\nAnswer: -176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -15402, 28, 0 in increasing order.\nAnswer: -15402, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 558 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 2:40 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20960*s**2 - s - 10494*s**2 - 10786*s**2.\nAnswer: -320*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 5*b**3\/6 + 53*b**2\/2 + 12*b - 255. Determine a(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 15*l - 54 = 0, l - 3 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.079, -1, 27, -5, 0.2, 0, -7 in ascending order.\nAnswer: -7, -5, -1, 0, 0.079, 0.2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = 45*o + 39 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12552?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 4, b: 3, n: 2, e: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 7926.\nAnswer: 206076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.2, 2142 in ascending order.\nAnswer: -0.02, 0.2, 2142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -109?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 - 42*y - 178. What is k(-7)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j - 10*j - 5*j - 32*j. Let k(l) = 208*l. What is -32*h(u) - 5*k(u)?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyaa when four letters picked without replacement from {w: 1, a: 1, b: 3, c: 2, y: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775105015?\nAnswer: 5, 3617, 42859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2780 + 1299. Is d != -1486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8789393672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786582282 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(-84)*(1*-3)\/9\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033696815 - 0.0825?\nAnswer: -0.0858696815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z**3 + 2419*z - 319*z**3 - 285*z**3 - 2420*z.\nAnswer: -527*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37949615 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6)*(-2*q**3 - 3*q**3 + 3*q**3) - q**3 + 5*q**3 - q**3 - 3*q**3 + 5*q**3 - q**3 + 0*q**3 + 3*q**3 + 0*q**3 - 6*q**2 + 6*q**2 + 48*q**3.\nAnswer: 53*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:31 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 4 = 0. Let u = -538 + 404. Let m = u + 940\/7. Which is the nearest to -2? (a) 5 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018953 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, 0, -4 in descending order.\nAnswer: 25, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t + 6 = 0. Let h = t + 5. Suppose h*o - 5 - 9 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34800791 is divided by 4971538?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10150 (base 7) in base 16?\nAnswer: -9b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((336\/35)\/8)\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-24) + (-275)\/(-8). Let u(p) = -6*p**2 - 6*p - 6. Let d(m) = -m**2 - m - 1. Calculate s*d(i) - 6*u(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 3\/(-6))*26. Let o = f - 24. Let s = o - 9. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/720 + 19*v**4\/144 - 361*v**3\/72 + 83*v**2. Find l such that h(l) = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220020 (base 3) to base 13\nAnswer: -3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + 5.02. Let q = 663.344 - -0.656. Let n = q - 663.5. Sort 3, h, n, -6\/11 in descending order.\nAnswer: h, 3, n, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*n - 3 = -88*n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-604)\/8 + (-2)\/(-4). Let i = 123 + g. What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)*p*p)\/p)**(-8)\/(p**(-3))**(23\/3) assuming p is positive.\nAnswer: p**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 1810*z + 22440.\nAnswer: -5*(z - 374)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.7 and 53779?\nAnswer: 91424.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -9, -1113, 5, -2\/33?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 50\/40 - 18. Sort -1, -10, p in descending order.\nAnswer: -1, -10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 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: Let q(y) = -y**5 + y**4. Let v(j) = 10*j**5 + 5*j**4 - j**2 - 10. Let w(a) = 5*q(a) - v(a). What is the third derivative of w(u) wrt u?\nAnswer: -900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -15, 8, -6, 24 in decreasing order.\nAnswer: 24, 9, 8, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + (8 - (-18 + -10 + 18 + 5)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -118. Let k(b) = -3*b - 2. Let y be k(-5). Suppose -12*j - 16 = -y*j. What is the highest common factor of j and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591143*c**2 - 591123*c**2 + 1182278*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 21*j**2 - 9*j - 20. Let q(x) = 2*x**3 - 11*x**2 - 4*x - 10. Let w(d) = -5*q(d) + 3*y(d). Give w(-8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*u - 30*u + 168. Let n(k) = k**3 - k**2 + 2*k - 2. Let g be n(2). What is the greatest common divisor of u and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -12, -0.1, -52, 0.2, 29\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001134149 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 + 1.34. Which is the biggest value? (a) g (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*1\/(-12)*822 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 11, 7, 23, 71, 163, 311, 527?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 less than -65598\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 + v - 1. Suppose -2*h - 2*h = -5*h. Let m be a(h). Let k be (-1)\/(6\/(-1) + 2). Is m at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31249845397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 29 + 9 - 101*r - 217*r)*(-4*r**4 + 2*r**4 + 4*r**4).\nAnswer: -636*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4*(-2394)\/(-2793)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71\/6, -1, 1, -2\/135, 5 in decreasing order.\nAnswer: 71\/6, 5, 1, -2\/135, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95369, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-3 + 0) - 3. Suppose b = -x*y + 7, -5*y + b + 0 = -9. Let p(d) = -2*d**2 - 2*d. Let h(m) = -m**3 - 5*m**2 - 5*m. What is y*h(q) - 5*p(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01661952 rounded to four decimal places?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*s - 101*s = 184*s - 1860 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21899031, 43798063, 65697095, 87596127, 109495159, 131394191?\nAnswer: 153293223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 2) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 = 2*d, -9*d = -5*d - 3*i - 294. What is the remainder when 139 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(2\/5)\/m))**(-1)*(m*m**0*m)**(-5\/11))\/(((m\/(((m**(-4)\/m)\/m)\/m))\/m)\/((m\/m**(-3)*m)\/m)*(m**1)**22) assuming m is positive.\nAnswer: m**(-1513\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/l**3)\/l))**(4\/33)*l**(2\/15)\/(l\/(l\/(l\/l**2))) assuming l is positive.\nAnswer: l**(287\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2393, 0, 1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2530 = -8*g + 7*g, -3*u + 3788 = 2*g. Calculate the highest common factor of 395 and u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39808.64 rounded to the nearest ten?\nAnswer: -39810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744063483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 10*c - 8. Let q(i) = -2*i**2 + 12*i - 9. Let b(l) = -5*q(l) + 6*s(l). Let j(k) = 17*k**2 - 2. What is -2*b(w) + 3*j(w)?\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.7758106 rounded to 2 decimal places?\nAnswer: 45.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5971.32963 minutes to weeks.\nAnswer: 0.5923938125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 51*k - 98 = 0. What is k?\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/14)\/((-1)\/(-7)). Let j = f - -8. What is the least common multiple of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - 70\/(-8). Let h = z + 2. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/189 - 5863\/378. Let c = -15 - z. Put 1, -0.1, c in descending order.\nAnswer: 1, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*o - 10, 4*o = 3*o + 3*h + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 13*s + 39. Let o be u(-16). Let p = -31 + o. Suppose 21*f - 12*f = 72. Calculate the highest common factor of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 6698?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 280648.36.\nAnswer: 280647.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 55 - 33. Suppose -v*f - 1298 = -24*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:27 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 70878.55 centimeters?\nAnswer: 0.7087855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155450*d**2 - 2*d + 192.\nAnswer: 310900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000367531 rounded to 6 dps?\nAnswer: -0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d**2 + 5*d. Let z(g) = 5*g**2 + 3*g. Let m be 6\/27 + (-47)\/9. Let y(a) = m*z(a) + 3*c(a). Solve y(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 48*x + 47*x - 85)*(-7*x**4 - 4 + 4).\nAnswer: 7*x**5 + 1176*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/6 - 3*n**2 + 2*n. What is g(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158720 is divided by 79318.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.40000142 + 7.4. Round d to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 5*z**2 + 3*z + 3. Let y be o(-4). Let m = y - 4. Differentiate 2*d**3 + 2 + 3*d**3 - m*d**3 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 - (-2 + 6 + -1) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -12*x + 17*x. Suppose -27 = -n + x. What is the least common multiple of n and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 0*v**2 + v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 4)*(-29)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.23 (b) -2\/45 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9399.6 - -9400. Which is the third smallest value? (a) m (b) -5 (c) -801\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 83*t**2 + 140*t + 60. Let f(b) = -28*b**2 + 46*b + 20. Let g(y) = -8*f(y) + 3*h(y). Factor g(i).\nAnswer: -(i - 2)*(i + 10)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1801.58 - -1633. Let w = -167 - m. Let i = w - 1.57923. What is i rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17243\/25263 - (-5)\/(-315).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22765 and 255925.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.277529 kilometers?\nAnswer: 7277529000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 2. Let l be u(-8). Let a be 1\/((2\/(-56))\/((-117)\/l)). Let m(o) = -5*o**2 - 1 - 1 + o**3 + 551*o - a*o. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38122495 is divided by 1700.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(208) + (sqrt(208) - (sqrt(208) + (sqrt(208) - (-3 + sqrt(208)))) - sqrt(208)))**2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {g: 1, e: 5, n: 1, h: 5, q: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-3) - (-14)\/(-21). Let b(y) = 158*y + 3. Let i be b(s). Suppose -4*f + 335 + i = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62.8299 + -0.1701. Let r = -0.715 - -60.115. Let q = r + c. What is q rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -12 + 13. Is 2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17 (b) -0.3 (c) 3 (d) 3\/4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1\/3*f**6 - 2\/3*f**3 + 0*f**5 + 0*f**4 + 0*f + 4 + 0*f**2. What is the third derivative of z(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -881, -1208, -1519, -1808, -2069, -2296, -2483?\nAnswer: -2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3137302 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*k - 33, k + 2*g = -2*g - 2. Suppose 4*v = 6*v + 4, t - 5*v - 11 = 0. List the prime factors of (t\/2)\/(k\/760).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 333057 and -0.5.\nAnswer: -166528.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89038 is divided by 1073.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 374*n**2 - 3*n - 4*n - 118*n**2 - 8 + 3 + 4*n as y + f*n + z*n**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/9 (b) -1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23606 and 361601?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q**2 + 14*q - 1578. What is t(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = 3*u - 366. Suppose 2*r + u = 25*r. Let q be 1*(2 + 1 - 0). Solve -3*f + q = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbdb when four letters picked without replacement from {d: 4, b: 5, c: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007081042 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 6 - 29 - 1 + 0 + 11*t.\nAnswer: 11*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1163, 2383, 3605, 4829, 6055?\n\"Answer: t**2 + 1217*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/3)*q)**2*q**(1\/4)\/(q**13\/q) assuming q is positive.\nAnswer: q**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 33. Sort -2, p, -19 in increasing order.\nAnswer: -19, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 4. Let l be b(3). Let h be (-8)\/20 - 22\/l. Solve 5*g - 9 + h = 2*t, -g - 5*t + 28 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 56.98. Let w = -22.46 - -22. Let n = r - w. What is n rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13232696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q, -2*b + 5*b - 3*q = 36. Let k be (1 - 7\/2)*36. What is the common denominator of 75\/2 and (-9)\/b + 251\/k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, 2*a - 13 = a + 2*l. Calculate the greatest common factor of a and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2362 (base 11) to base 12.\nAnswer: -1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51584909?\nAnswer: 51584909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 19\/12*z**4 + 10*z**2 + 0 + 5*z**3. What is the derivative of d(y) wrt y?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1628)\/(-20) - -5 - 8085\/5775?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/13 - 400*s**3 + 1970526*s**2\/13 + 11968516*s\/13 + 16013360\/13 = 0.\nAnswer: -2935, -4, -2, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose p*h + 1 - 6 = 0. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14728, -14719, -14710, -14701, -14692?\nAnswer: -14683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddjjdddnndj. What is prob of sequence dj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 482422.7 centuries?\nAnswer: 578907240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 - -193. Determine q so that 2\/9*q**3 + 8\/3*q + 4\/3*q**o + 16\/9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*r**2 - 6*r**3 + 67*r**2 + 5*r**3 + 72*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.6 - 4.9. Round n to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and -22*410\/(-5400) - (0 - -1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/946 and -67\/3311.\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 13 = -43. Solve 2*u - s + 12 = 0, 1 = -u - h*s + 2*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 13*o = -15*o - 10, -y - 3*o = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2406.706g?\nAnswer: 2406706000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -580*l**2 - 4*l + 455. Let c(a) = 580*a**2 + 5*a - 466. Let b(i) = -4*c(i) - 5*j(i). What is the first derivative of b(y) wrt y?\nAnswer: 1160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3 - 2. Let o = 3 + s. What is the units digit of o\/(-3) + 188\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let w(v) = 209*v - 103*v - 105*v. Calculate -8*w(j) - 5*x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541696*k = -541730*k - 748 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 7*a + 4. Let x be 14280\/2295 - (-2)\/27*-3. Let t(i) = 5*i**2 + 8*i - 5. What is x*u(j) + 5*t(j)?\nAnswer: -5*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from uxpheeuhehl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 5. Let c(s) = s**2 + 8*s + 1. Let l be c(-7). What is the tens digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 4*f + 7. Let u be (-23435)\/(-344) + 1\/(-8). Let h = -63 + u. Calculate c(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 364147 = 5*z, -40602 - 105060 = -2*z - 2*k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*j**3 + 250*j**3 + 84*j**3 + (2*j**2 - j + j)*(4*j + 2*j - 4*j) - j**2 + j**2 + j**3.\nAnswer: 277*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 26*i = -2*d + 1, 3*i = -4*d - 23. What is the fourth biggest value in 0.1, -3.3, i, 0.06?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x**2 + 9*x**2 - 33*x**2 + 38*x**2 + 32*x**2.\nAnswer: 93*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -1\/6*y**4 + 0*y + 0 - 1\/6*y**3 + y**2. Determine s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 2*h**2 + 12 - 54*h + 7*h + 2*h**2 + 50*h to the form a + t*h + s*h**2 + k*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506091?\nAnswer: 7, 127, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.1. Let w = g + 0.3. Let n = -96 + 93. Sort n, w, 3\/2 in increasing order.\nAnswer: n, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -62, -328, -868, -1778, -3154, -5092?\nAnswer: -7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-784)*(-7)\/16.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 138, 329, 596, 939, 1358?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {t: 3, u: 6, e: 1, g: 6, k: 2, h: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4265*t + 5*t**2 - 4267*t + t**2 + t**3 - 5 in the form q*t**2 + i + z*t**3 + n*t and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Let l(m) be the second derivative of -m**7\/630 - m**4\/6 - m. Let p(v) be the third derivative of l(v). Calculate p(w(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76 or -383\/5?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:18 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.218903018 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (1 + (3*sqrt(1584))**2*-1 + -1 + (sqrt(1584) + -1)**2)*-6.\nAnswer: 144*sqrt(11) + 76029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -5 - (-5)\/(-1). Let d = -2 - j. Put 9, d, -2 in decreasing order.\nAnswer: 9, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4 (c) -0.2 (d) 1\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 442210620 to the nearest 1000000.\nAnswer: 442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7797 and 10373?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4444771434?\nAnswer: 2, 3, 740795239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(567) + -4)**2 + (sqrt(567) + -2 - sqrt(567))**2*-3*5.\nAnswer: 216*sqrt(7) + 5059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*h**3*u**3 - 222*h - u**3 wrt h?\nAnswer: 522*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 8*f = -3*l + 3, -5*f = 4*l - 49. What is the biggest value in -14, -5, 0.18, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 4*p - 92. Let c = -16 - p. Sort 2, c, 5.\nAnswer: 2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by 6.\nAnswer: -131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguuuuguuuuuuguuguug. Give prob of sequence gg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f + f**2 + 98 - 2*f**2 - 36*f + 2*f**2 + 4*f. Let g be d(43). Calculate the highest common factor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6537585 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33624.99952 + -33628. Let h = -8 - -11. Let b = h + u. Round b to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or -3258\/95?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:03 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*u = 8, -3*s - u + 3 = 6. Is 5110\/84 + s\/(-12) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 29*t**2 - 6 - 11*t + 21*t**2 - 47*t**2. Let z(r) = r**2 - 4*r - 2. What is 4*u(p) - 11*z(p)?\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivxx. What is prob of picking 2 x and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - d = -1522, -20*s = -23*s - 4*d - 1151. Let h = -378 - s. What is u in 12\/7*u**2 - 2\/7*u**h - 10\/7*u + 0 = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.284 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g - 186*g + 94*g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 13*w - 4986. Suppose 540 = g - w. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j - 16. Let b(p) = p**2 + 4*p - 1. Let t be b(-2). Let o = t - j. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 31*j - 10 + 205 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 3*t - 8. What is the tens digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 - 110 = 4*i + 103. Let w(n) = -8*n**3 - 2*n**2 - n + 2. Give w(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 7*c**2 - 10*c - 6. Calculate o(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51264 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46052475542.7 - 4.5.\nAnswer: 46052475538.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/42 + 43\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 + -14.2. Let t = c + 26. Let a = 9.000002 - t. Round a to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -1 + 1\/12*j**4 + 16*j**2 + 11\/2*j**3 + 102*j. Factor n(g).\nAnswer: (g + 1)*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -172\/711191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, q: 5}. What is prob of sequence qqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 77056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -853*n + 23072*n + 20505 - 87162 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.42730496 rounded to 2 decimal places?\nAnswer: 5.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144971 is divided by 28087.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x**(-2\/7)*x)*x*x)\/x*x*x**(-4)*x**4*x**(-4\/9))\/(x**(-5)\/x**(-1\/11)*x**(1\/2)\/(x\/x**(3\/5)*x)) assuming x is positive.\nAnswer: x**(66877\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6339 divide 1867702282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2524 and -55\/18.\nAnswer: 22716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((1 - 31) + 28 + -9 + -14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l**3 - 14*l**2 - 10*l - 10. Let m(d) = 5*d**3 - 3*d**2 - 2*d - 2. Determine 14*m(p) - 3*r(p).\nAnswer: -2*p**3 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9287 and 434528.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 4. Calculate the remainder when 5 is divided by y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401210 divided by -6?\nAnswer: 200605\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + -203946985653?\nAnswer: -203946985653.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxiiiininaxiiann. What is prob of sequence xa?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -7*r - 209. Suppose y + r = 220. Calculate the remainder when 19 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 18*g**2 - 33*g + 22. What is o(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2033, 4103, 6175, 8249, 10325?\nAnswer: 12403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -32\/121419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9496296 litres to millilitres.\nAnswer: 949.6296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3340 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 2*d - 1. Suppose 0 = -2*z + 8 - 0. Let b = -49 + 54. Let r = b - z. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by -77.\nAnswer: -171\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684157495?\nAnswer: 5, 7, 1009, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3\/7 (c) -0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 0.5, 1425\/59?\nAnswer: 1425\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1427 + 54. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let x = 9 - w. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 25 = -f, -3*n + 881 = 5*f. List the prime factors of n.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45\/2? (a) -1\/2 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n + 7 + 3*n - 12*n - n**2 to s*n**2 + z + v*n and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18164.99 - 18061. Let d = -106 + a. Let l = d + 1.21. Sort -0.4, l, -2 in ascending order.\nAnswer: -2, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1199*d + 386097. Determine x(-322).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 317*h**3 + 4*h**2 + h + 1. Is y(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*p + 2*p - 2*p)*(-3*p**2 + 5*p**2 - p**2) + 4 + 2*p**3 - 4)*(10 + 6 - 5) as x*p**3 + s*p + k + m*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 398368*k**2 + 9949962644*k + 1562165016248.\nAnswer: 4*(k + 158)*(k + 49717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000 + -11?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-34)\/(-2)*-1. Let x = d - -28. Solve 3 = -4*s + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.072 + -3.172. Let n = -3 - l. Let p be (4\/28)\/((-28)\/(-147)). What is the nearest to n in p, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5426956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 10*t**3\/3 - 2*t**2 - 9. Let b be q(-3). What is b rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15575 and 215825.\nAnswer: 1510775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 191842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*o**5 + 1148*o**4 - 24*o**2 + 2*o - 612 wrt o?\nAnswer: -1260*o**2 + 27552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(0 + 2). Let r(f) = f + 1 + 32*f**2 - 36*f**2 + 5*f**2 - 28*f**3. What is r(h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*q - 6, 4*q = 5*s - s - 8. Let m be (-5 - 9\/(-15))\/(36\/(-15)). Which is greater: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 minus 0.079?\nAnswer: 578.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 2 + 5\/((-5)\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 19430.43.\nAnswer: 9715.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4847 + 4850. Let i = -13.12 + 0.12. Let u = -18 - i. Which is the third smallest value? (a) k (b) -3\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.473218ml?\nAnswer: 0.006473218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p)**(1\/4)\/(p**(-1\/2))**(4\/5) assuming p is positive.\nAnswer: p**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.3 (c) -1366 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 1233 = 54*w - 171. Solve 0 = w*a - 34*a, -3*a + 2 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*b**2 - 28*b**2 + 11*b**2)*(81*b - 13603 + 13603) as i*b + v*b**2 + x*b**3 + s and give x.\nAnswer: -6966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5af758 (base 16) in base 3?\nAnswer: -102012212201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 12711.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-40)*(-42)\/(-98)*(-12)\/18\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 27*a**2 - 54*a - 603. Is p(-9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/2301310 and -87\/16.\nAnswer: 18410480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 x, and 1 h when three letters picked without replacement from hwwwojwjwwwroxwjx.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -5, 19, 73, 169?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 + 22*h - 11*h - 7*h to q*h**3 + u + t*h + b*h**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -731311712\/7 or -104473101?\nAnswer: -731311712\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 14) to base 4\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*-8*2\/(16\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -10, -15, -40, -91, -174, -295?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -205 - 172714\nAnswer: -172919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*w + 5*v, 2*w - 71 = 3*v + 1. Calculate the greatest common factor of 1164 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2 - (-6 - -15 - -1 - 12)) + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 5, 0, 7, 1\/2 in increasing order.\nAnswer: 0, 1\/2, 6\/11, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Let i = 52\/9 + -6. Put -0.4, i, l in ascending order.\nAnswer: -0.4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*q - 74, 3*q - 8*q + 85 = 5*z. Suppose -4*w - 5 = -3*u - 2*u, u + q = -3*w. Is -1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuuuuhhuhuhhuuuuu?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**3\/3 - 45. Let p(d) = 36*d. Calculate m(p(q)).\nAnswer: 2592*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/7 of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 16, 4, -13\/2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/85)\/7)\/(-1).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343522187 to the nearest integer?\nAnswer: 18534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/((-18)\/20))\/(-2). Suppose -s + 6*s - 2*m + 29549994 = 0, -n*s - 3*m = 29550009. Round s to the nearest 100000.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 69. Let i be y(-34). Solve -7 = -x - 5*z, -4*x - 19 = -4*z + i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 390\/54 + 4\/2. What is the closest to -0.1 in -13, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 60*x**2 - x + 6. Suppose -19*a - 45 = -140. Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 28. What is the smallest common multiple of p(7) and -2*(-2)\/(-12)*(-19 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 694 = 286 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*u + 3 = -0*c, -c + 12 = -5*u. Let o(g) = 213*g - 6*g**2 - 424*g + 214*g. Let k(z) = 17*z**2 - 8*z. What is c*k(q) - 8*o(q)?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5\/14, 0.4, 4, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -0.2 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5, -1\/11 in descending order.\nAnswer: 5, -1\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140.8 + -109.65. Let s = -25.6 + m. Let p = s - 7.92. Round p to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 41*f**2 + 87*f - 1. Give y(-6).\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 6 = -10*d. Let a(h) be the third derivative of -2*h**d + 1\/120*h**5 + 1\/12*h**3 + 0*h - 1\/24*h**4 + 0. Factor a(i).\nAnswer: (i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Suppose -n*o + 4 = -0. Solve -3*z - 13 = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(448)*-2 + 2)**2 + sqrt(448) + 4 + (4*(1 + sqrt(448)))**2 + (-4*(1 + sqrt(448)))**2.\nAnswer: 456*sqrt(7) + 16170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -10, -368, -2, -41, -1 in ascending order.\nAnswer: -368, -41, -11, -10, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 + 9*a + 8. Let n(b) = b**3 + 5*b**2 - 9*b - 8. Suppose 5*p + 3*l = 42, 3*p + 2*p - l = 26. Let f(j) = p*g(j) + 5*n(j). What is f(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**3 - 2224*g**2 - 42496*g + 205824 = 0.\nAnswer: -536, -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - 4*y**3\/3 - 3*y**2 - 5*y + 9. What is z(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 12*n**2 + 16*n + 91. What is c(-5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 12*a - 8. Let o be f(-13). Suppose 5*u + 35 = -p, -o*u + 0 = -3*p + 15. What are the prime factors of u\/4 + (-725)\/(-10)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44074, 44079, 44084, 44089, 44094?\n\"Answer: 5*i + 44069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2\/5)\/j)))\/j*(j\/(j\/((j\/(j**(5\/3)\/j*j))\/j))*j)\/j*j*j assuming j is positive.\nAnswer: j**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 79, 118, 143, 148, 127, 74?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14148 and 329283.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1247946 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 32*w - 150)*((-1 + 4 - 1)*(0*w**2 + 3*w**2 - 5*w**2) + (-w**2 + 4*w**2 - 5*w**2)*(-4 - 3 + 6) + 36*w**2 + 485*w - 485*w).\nAnswer: -1088*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}