diff --git "a/data/dm_maths/full_data_1/1598_11255.jsonl" "b/data/dm_maths/full_data_1/1598_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1598_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = -4.337 + 5.437. What is the closest to 1 in a, 4, -3\/2, -16?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o - 3*o**2 + 0*o**6 + 4\/35*o**7 + 0 - 1\/30*o**5 - 1\/2*o**4 + 1\/3*o**3. What is the second derivative of y(f) wrt f?\nAnswer: 288*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12328 by 12.\nAnswer: 3082\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/21)\/(217588\/6042 + -36).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7396*b - 51768. Determine q(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*r + 89*r + 319*r to q*r + k and give q.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:40 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 - y + 2. Let i be t(0). Solve i*a + a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 2*l**2 + 6*l - 11. Let t(j) = -j**3 - j**2 - 1. Let x(w) = h(w) - 4*t(w). Let u be x(-5). What are the prime factors of (21\/u)\/(10\/(-120))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.1, -2 in increasing order.\nAnswer: -2, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-5*(-1)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 578475 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -36*r**3 + 2*r**2 + 2*r. What is z(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose -52 = -r*x - 20. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250 (base 13) in base 3?\nAnswer: -20120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2349570 and 374?\nAnswer: 25845270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {s: 3, w: 5, g: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -404024240?\nAnswer: 404024233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155 and 85855.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-33))**(-39) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 1. Let c be m(-1). Let g be (-4)\/10 - (-36)\/165. What is the second biggest value in 0.3, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -0.313 (b) -7 (c) 2\/7 (d) 0.3 (e) 0.5 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40968898?\nAnswer: 2, 499, 41051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let r(o) = -11*o - 21. Let w(a) = 2*a. Let g(v) = r(v) + 6*w(v). Give g(q(l)).\nAnswer: 2*l - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994963 a multiple of 1379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109526961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*l + 8, -o - 2*l - 10 = -5*l. Let w(g) = -1 + 0*g - g - o - 1. Let n be w(-6). Solve 4*p = n*f - 14, 0 = 2*f + 4*p - p + 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 176\/33*-1*3. Let c = w + 24. Calculate the remainder when 30 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*r = 13*y - 307*r + 160, 5*y = -4*r + 51 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8892 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -326 + 322. What is the nearest to -2\/3 in -3, g, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -5, -7, 5, 37, 95?\n\"Answer: z**3 - 2*z**2 - 11*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 4. Give s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a833 + 6?\nAnswer: -2a828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 280*n**2 + 12826*n - 191012 = 0.\nAnswer: 34, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5))\/(33*1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 4. Determine v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -718*f. Let a(d) = -2*d**2. Calculate i(a(m)).\nAnswer: 1436*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5140*y**5 - y - 5121?\nAnswer: -102800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -97, -3 in increasing order.\nAnswer: -97, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 4. Let i = 63 + -57. Suppose 0 = -u, c - i*c - 4*u = 30. Let h be -4 + (1 - c) + 0. Determine p(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/208)\/(2\/28)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 7 + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-26) + (-144)\/(-96).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/950 - (-169)\/(-19). Let k be 0\/((y\/6)\/(6\/4)). Solve -4*l - 3*l + k*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 40. Put -3, s, 3 in increasing order.\nAnswer: s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 106*i = 23*i + 954 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205841\/73 or 2819?\nAnswer: 2819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9499 divided by -59?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37297.\nAnswer: 13, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose -x*c + 5*i - 6 = 0, 3*c + 9 = -0*c + 5*i. Sort 2, c, 4.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 8*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 4. Let l be u(-7). List the prime factors of ((-90)\/l)\/(-3)*(-234)\/(-15).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.27265 + -0.08235. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85246 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/45*-9)\/(4\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/18 + (-2)\/((-8)\/(-6)). Suppose -2*o + b - 3*b = -58, -3*o - m*b + 86 = 0. Which is bigger: 29 or o?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455490374?\nAnswer: 2, 53, 307, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a18 - 6a?\nAnswer: -2a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = -13. Suppose -w*u = -0*u - 184000. What is u rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 - 18855*b**3 + 75495*b**2 - 18905*b - 113250 = 0.\nAnswer: -3775, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*v**5 + 2*v**5 + 14*v - 7*v wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 - 1. Let l(p) be the third derivative of 1\/24*p**4 + 1\/3*p**h + 0*p + 0 + 2*p**2. Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10120)\/(-690)*(-6)\/(-8). Let s(d) = d**2 - 7*d - 21. Determine s(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 18?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = -2*i + 2*q + 406, -i - q + 60 = -4*q - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43)\/(-4) + 1 + 1 + -3 and -77\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**2\/7 - 167*p\/7 + 165 = 0. What is p?\nAnswer: 77\/6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89485793 to the power of 1\/2, to the nearest integer?\nAnswer: 9460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 - 84 = -15*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9861, -19693, -29525, -39357, -49189?\nAnswer: -59021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -353*c - 764*c - 389 - 33740 + 2853 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.98 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4 and 45\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.724 + -0.024. Let v = -0.03206 + -4.96794. Put k, v, -20 in ascending order.\nAnswer: -20, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-34)*v*v*v\/(v**(-2\/49)\/v))\/(v**(-27))**16 assuming v is positive.\nAnswer: v**(19700\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383*n**3 + 12 + 5 + 2*n**2 - 55*n - 5*n + 42*n**3 - 13 wrt n.\nAnswer: 2550*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.7 + 3.3. Let m = a - 28.0124. Round m to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1191835, 4767336, 10726497, 19069318, 29795799?\n\"Answer: 1191830*t**2 + 11*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*h + 130*h + 299189 + 1763217. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 + 6410 = 5*o. Let s = o + -524. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.11. Let w = g + 5.13. Suppose 6 = -p - p. Which is the closest to -2\/5? (a) w (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308 take away 372?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112230230211 (base 4) in base 7?\nAnswer: 101401440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m + m**2 - 3 - m + 3*m**2. Let o be l(-3). Sort -5, o, 5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 2970*h - 2975.\nAnswer: 5*(h - 595)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**26\/(l*l**6\/l*l*l*l**(2\/5)))**(22\/7) assuming l is positive.\nAnswer: l**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -45*c**4 + 510*c**3 - 1262*c**2 - 1017*c - 180. Let w(f) = 90*f**4 - 1020*f**3 + 2525*f**2 + 2035*f + 360. Let h(s) = 3*w(s) + 5*x(s). Factor h(p).\nAnswer: 5*(p - 6)**2*(3*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 19. Let f = l + 10. Suppose f*u - 22 + 6 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3 (c) 0 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2*k)*(6 + 0 - 1) + 0*k - 6*k + 4*k)*(-2*k**3 - 83*k**2 - 93*k**2 - 48*k**2) in the form m*k + w + y*k**3 + h*k**4 + u*k**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8778469 to the power of 1\/2, to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29 times -0.331\nAnswer: -9.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0.03, 25\/6.\nAnswer: 0.03, 1.3, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42131946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d - 5. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.02 (c) -2.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 21*i - 4*i - 464303. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 divided by -321844?\nAnswer: 261\/321844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -19. Let q be (-3)\/4*8\/14. Which is bigger: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 30*y**2 + y**6 - 15*y**2 - 4*y**6 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1299 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*f = -200*f - 165*f - 120 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 5*w**2 - 3*w**2)*(-128*w - 5*w**2 + 128*w) + 3*w**4 - 7*w**4 + w**4.\nAnswer: -13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*-2 - (-106)\/(-4). Let k = h + 22. Let j(n) = -2*n**3 - 5*n**2 + 2*n - 3. Let f(c) = -4*c**3 - 9*c**2 + 4*c - 5. Calculate k*j(u) + 3*f(u).\nAnswer: -2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 p when three letters picked without replacement from pwewetewppj?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 times 12?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a**5 + 1648*a**4 + 15346*a**3 - 6400*a**2 - 10600*a = 0. What is a?\nAnswer: -265, -10, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40189, 40194, 40175, 40120, 40017?\nAnswer: 39854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyoerke. Give prob of picking 1 o, 2 e, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 6*b**2 + 5*b - 10. Let d be q(-7). Let h be d + 3\/((-12)\/(-16)). Calculate the highest common divisor of h and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 697.9 and -7.\nAnswer: -4885.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -31214159*u**2. Let f(q) = -3*q**2. Determine y(f(g)).\nAnswer: -280927431*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 34 = 3*w. Let y = w + -78. Round y to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6*(-7 + 5 + 3). Let p be (-1)\/(-4)*(-8)\/(-10). Which is the smallest value? (a) j (b) p (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/13*a**2 + 90\/13*a = 0 for a.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 47 (b) 1480 (c) 5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 15*h + 74. Let z be k(-18). Solve -7*u + 3*u = -z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -477, -956, -1435, -1914?\n\"Answer: -479*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/u*u*u**7*u*u)\/((u*u**(-3))\/(u**(-1\/5)*u*u)) assuming u is positive.\nAnswer: u**(566\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70350066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-28)*24\/90\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*x = 553, -3*x = 4*h + h - 551. Let r = 82 + h. List the prime factors of r.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*s - 31 = 0, 4*q - 4*s + 0*s = 32. Let m be (8\/24)\/(88\/q). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41870 at least -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**2 + 5. Let u(o) = 3*o**2. What is k(u(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2440, 9790, 22048, 39214, 61288?\nAnswer: 88270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 12 - 78)*(2*n + 5*n + 0*n).\nAnswer: -707*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71780\/(-5550) - (301\/(-21) + 12\/9)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yayomqba. Give prob of sequence oa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 9 - 13)*(2*w + 6*w - 3*w) as s*w + i and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58\/290*2\/6. Let t be (-1)\/(1*(-3)\/15). What is the nearest to 1 in -0.5, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -3 - 3 - (-24 + 8 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 886, 1922, 2960, 4000, 5042?\n\"Answer: a**2 + 1033*a - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -49. Suppose 3*u + 15 = 3*y, 4*y + 5 = 5*u - q*u. Suppose 5*f + y + 1 = w, 0 = w - 2*f - 4. Calculate the greatest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*p - 97199 + 97978 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285184276 to the power of 1\/2, to the nearest integer?\nAnswer: 16887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 22*l - 25. What is b(22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(-5 + (sqrt(392)\/sqrt(7))\/sqrt(8)).\nAnswer: -4*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -26. Let y(m) = m**3 + 3*m**2 - m + 9. Let n be y(h). Let w(x) = 2*x**2 + 4*x. Determine w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = 120*f - 180 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*-1)\/(sqrt(90)\/sqrt(1210)).\nAnswer: -33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250841 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2457 and 6293742?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -16, -43, -80, -127?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7044862915 less than 110?\nAnswer: 7044863025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 67.60549 and -99.\nAnswer: -31.39451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y = -54*y - 86. Solve s = y*z + 10, -15*z - 10 = -4*s - 17*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9279\/8 - 1156. Calculate the common denominator of h and -1*2\/(-53)*16107\/(-1638).\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2535725 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(4\/5))\/(u\/(u*u**(-1\/3)))**(-2\/91)*(u\/(u*u\/u**(-5))*u*u*u**(2\/7)*u)**43 assuming u is positive.\nAnswer: u**(-156848\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/9 - 188*t\/9 - 8816\/9.\nAnswer: 4*(t - 76)*(t + 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*v - 30. Suppose -3*z = -3*f - v - 64, 4*z + 5*f - 129 = 0. Is z bigger than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let q = 45579\/7 - 6511. Sort -1, m, q, 1 in increasing order.\nAnswer: -1, q, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -74*w**2 - 80*w**2 - 78*w**2 + 233*w**2 - 73 - 10*w. Let v(x) = -x**2 + 10*x + 6. Let k be v(9). Let g be l(k). Which is smaller: -50 or g?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) 3\/23 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4462 is divided by 247.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12794486 + 4\nAnswer: 12794490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/675297 and 8\/3843.\nAnswer: 41193117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123, -141, -171, -213?\n\"Answer: -6*d**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -156*s**2 - 6*s - 9. Let a(b) = -78*b**2 - 2*b - 4. Calculate 5*a(v) - 2*t(v).\nAnswer: -78*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*z + u, 2*z = 4*u - 226 + 282. Solve 15*l = -z - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60346 is divided by 152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 3*w + 1. Suppose 2*o - 2*u + 4 = -0*o, o - 5*u - 14 = 0. Suppose -7*b - 4 = 10. Let g(a) = a**3 - a. Give b*z(j) + o*g(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.5119 rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*u - 60*u + 111*u)*(4*u + 2*u - 5*u).\nAnswer: 178*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (33691\/(-14))\/((-3)\/60) + (0 - 5).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*n = -7, 0*x + 2*x - 15 = -3*n. Suppose 5*q - 324 = x. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkqk when four letters picked without replacement from {k: 7, q: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 10*i - 6. What is l(9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11101010 (base 2) to base 10\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 33 = -43. Let a(t) = -t**3 + t**2 + 2*t + 3. Calculate a(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 + 860*l**2 = 0 for l.\nAnswer: -3440, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 201 - c?\nAnswer: 1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:19 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/47))**(-43)*(r*(r*r\/(r**36*r)*r)\/r)**(1\/62) assuming r is positive.\nAnswer: r**(1867\/1457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-8) + 3\/4. Suppose 64 = x*l - l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**5 + 0*m**2 - 1\/12*m**4 - 1\/30*m**6 + 2*m + 0 + 0*m**3. Find the third derivative of i(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/120 - 11*o**5\/60 - o**4\/12 + 9*o**3\/2 - 8*o**2 + 3*o. Give f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12682 bigger than -14242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30*z + 245. Let n be u(8). Sort n, 4, 182 in increasing order.\nAnswer: 4, n, 182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 8, s: 8}. Give prob of sequence sf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h - 146 - 49 = 0. Solve h*k + 48 = 15*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)*a**4 assuming a is positive.\nAnswer: a**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = -16*o - 29 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = g - 5*l, 13 = 4*g - l. Suppose 8 + 7 = g*a. Solve a = n - 0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-4) + 476\/1360*-115.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 23165.\nAnswer: 37\/23165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210404 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 2*b + 4*b + b + 1 - 1 + (b + 3 - 3)*(0 - 2 + 3) - 394*b - 5*b + 42*b - 328*b to i*b + s and give i.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20171, 20169, 20167, 20165?\n\"Answer: -2*o + 20173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4995 + -4995.8006. Let z = 0.8 + g. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -x + 3 + 8, -3*x - 5*p + 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -1 + sqrt(48))*-3.\nAnswer: -24*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0486125 millilitres in litres?\nAnswer: 0.0000486125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 58 = 28. Suppose -j + v = 4*i - 186, -4*i + 196 = -2*j. Suppose i = 7*h - 427. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 4. Let o be w(-4). Solve -8*m = -3*m - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23484395, -46968796, -70453193, -93937586, -117421975?\nAnswer: -140906360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 1 = -14. Calculate the remainder when 16 is divided by (15\/(-6))\/((-5)\/10*n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 18 + 1. Let i(m) = 5*m**3 - m**2 + 2*m + 1. Let p(j) = -j**3 + j**2 + j + 1. Calculate s*i(c) - p(c).\nAnswer: 6*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*a - 7. Let c(f) = -f - 4. Give c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -24. Suppose -o - 2*q + 34 = 3*o, -2*q = -2*o + y. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/42270?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f - 2*f + 2574 - 2374 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95729?\nAnswer: 29, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = d - 268604, -c + 3*d + 134288 = -2*c. Round c to the nearest one thousand.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 227 and 4.2079.\nAnswer: 231.2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9274557 divided by -3\nAnswer: -3091519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*g + 37. Calculate the smallest common multiple of g and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2624 + -1553. What is the remainder when b is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/19 - 84*u**4\/19 - 1170*u**3\/19 - 5696*u**2\/19 - 4608*u\/19 = 0.\nAnswer: -16, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 200\/(-56)*1. Let m = l + -1\/14. Which is the nearest to 2\/5? (a) -31 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*v + 54, 4*v + u - 25 = 47. Suppose -t = 2*t - v. Suppose 0 = -t*w - 694 - 3266. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643252504 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:10 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*o + 2027*o + 449*o as l + y*o and give y.\nAnswer: 2358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 - 2*h**2 + 2*h - 48. Let n(l) = 11*l**3 - 7*l**2 + 7*l - 146. Give 7*j(r) - 2*n(r).\nAnswer: -r**3 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/3 - 36056*n\/3 - 577408\/3 = 0. Calculate n.\nAnswer: -16, 18044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 20. Let x(y) = 9*y - 41. Let l(u) = 13*q(u) + 6*x(u). Let d be l(-6). What is t in 7\/3*t**3 - 5\/3*t**5 + t**4 - t**d + 0 - 2\/3*t = 0?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 91. Determine u(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/71 and 19\/2.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 45, 0, 2, 42, 61 in descending order.\nAnswer: 61, 45, 42, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/7 + 12290*i**4\/7 + 18751076*i**3\/7 - 56791572*i**2 + 2563323354*i\/7 - 4619376054\/7 = 0 for i.\nAnswer: -3083, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/14)*q**(1\/6) assuming q is positive.\nAnswer: q**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-30) - 3\/(-6). What is the third smallest value in -2, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4*x - 3. Let j be u(2). Let d = -21 + 19. Put d, 4, j in descending order.\nAnswer: 4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7804 - 7805. Let x(k) = -k**2 + 12*k - 16. Let v be x(11). Which is the fourth biggest value? (a) v (b) -8 (c) 0 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 105, 260 in increasing order.\nAnswer: 0, 105, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41\/4 - 21\/2. Let u = 0.06 - 5.06. What is the nearest to s in 2\/11, u, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/13)*b\/(b*((b**24*b)\/b)\/b)*b**(-3\/10)\/b*b\/(b\/((b**(-1\/11)*b*b)\/b)))**(-5\/2) assuming b is positive.\nAnswer: b**(32239\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222\/5 + 44. Let a(q) = -q**3 - 5*q**2 - 9*q + 3. Let z be a(-4). Let g = z + -34. Is g >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*t**4 - 4\/5 + 6\/5*t - 6\/5*t**3 + 2\/5*t**2.\nAnswer: 2*(t - 2)*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.7. Let f be (65\/(-10))\/13 + 0\/(-3). Sort f, 0.1, v, 0.\nAnswer: v, f, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 3, u: 6, l: 1}. What is prob of sequence lx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(5500)*-4)\/((sqrt(120)\/sqrt(6))\/sqrt(4)*-5).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78893003 by 4.\nAnswer: -78893003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-13 + -10 + 31 + 5 + -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*q + 5597 = -5*t, t + q + 1119 = 0. Let d be t\/10 - -1*3. Let r = d - -186. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -151e + -5?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95713 - 19305. List the prime factors of t.\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3321*m + 3381*m + 64 = 4*f, -4*f = 5*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224216.3 millennia to decades.\nAnswer: 22421630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 + 0.68. Let a = 1.6899814 - m. Round a to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 <= 1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.036.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 5. Let g be h(6). Let r(a) = -2*a**3 + 22*a**2 + 8*a + 4. Let y be r(g). Let f = -88 + y. Solve -4*s - 16 = 4*u, 0 = f*s - 3 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1305724 and 1120?\nAnswer: 52228960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 10. Let q be y*1*(-2)\/2. Let 2\/3*s - 8\/3*s**2 + 2\/3*s**5 + q*s**3 - 8\/3*s**4 + 0 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**13))\/(y**(-2\/37)*y))**(-1\/4) assuming y is positive.\nAnswer: y**(-223\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 + -204. Is ((-6980)\/z - -4)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.692873 months in centuries?\nAnswer: 0.0114107275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let h = -1 + f. Suppose -h*x = -58 - 8. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -156756209*x + 112317490 wrt x?\nAnswer: -156756209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 - 8 = -3*y, 5*f = -2*y + 1. Suppose 105*i - 103*i = 2*x - 20, -5*x + 55 = -6*i. Solve -y*t + 0*t - 18 = 3*v, 3*v - x*t + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 8, e: 1, s: 6}. What is prob of picking 1 s, 1 b, and 1 e?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 616978308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19223788 divided by -22777?\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3262, 7630, 11998?\n\"Answer: 4368*f - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 42 + 0 + 146 + -92.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f + 7. Let t(i) = -3*i**4 - 13*i**3 + i**2 + 13*i + 58. Let d(n) = 24*o(n) - 3*t(n). Solve d(s) = 0 for s.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -2*t - 14, 0 = -4*t + 12. Let g = 4 + -1. Suppose -l*z = -2*z - g. Are 1\/5 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:26 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 605443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 59544.\nAnswer: 654984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 5:56 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 6 = 11*q. Suppose 8*j - 576 = q*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.6754615 and 0.3.\nAnswer: -12.3754615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2 + 102*m*u**3 - 6936*m + 2*u**3 + 14*u**2 + 417514 with respect to m.\nAnswer: 4*m + 102*u**3 - 6936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6107188\/13 - 476371733\/1014. Let g = y + 14\/169. Find the common denominator of 15\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203301 - 4?\nAnswer: 203253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 17 = 2*c + 24, -8 = -2*w + 5*c. Let x(m) = -w*m - 2 - 2 + 0 + 5. What is the tens digit of x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h + 60*h - 20*h + 13*h**2. Let v(f) = -4*f. Determine v(r(i)).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 14, 0, -2 in increasing order.\nAnswer: -5, -2, 0, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1937 in decreasing order.\nAnswer: 1937, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 563276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1614 divided by 1\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(4\/6)*(-8 - -11). Suppose x*l - 18 = -0. Solve 0 = l*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q - 7. Let h(i) = 2 - 17*i + 0 + 1 + 10. Determine -6*h(g) - 11*y(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124 is divided by 1062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7751 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 41*d - 165. Do d and 0.53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**3 + 25*w - 25*w + 7)*(-1 + 1 + 2) to the form x*w**2 + z*w**3 + l*w + h and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*2*((-1 + sqrt(320))*4 - sqrt(320))**2 + (sqrt(320) + 2 + 1)**2 + (sqrt(320) - (3 + sqrt(320) + -1) - sqrt(320)).\nAnswer: -344*sqrt(5) + 6123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(1\/3))\/((-198)\/130350*25).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8697, 8667, 8637?\n\"Answer: -30*g + 8727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -44*f + 40*f + 1020, -3*f = k - 763. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*d**2 + 43*d + 49*d**2 + 238*d**6 + 544*d**2 + 26*d - 68*d wrt d.\nAnswer: 28560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 3*k = -n, 4*n = 3*n + k + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -309. Let g(k) = 16*k**3 - 6*k**2 - 6*k - 149. Let h(x) = -3*x**3 + x**2 + x + 30. Let t(o) = 2*g(o) + 11*h(o). Does 16 divide t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -78956, -315748, -710378, -1262846, -1973152, -2841296, -3867278?\n\"Answer: -78919*a**2 - 35*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -723, -1601, -2571, -3627, -4763, -5973?\n\"Answer: x**3 - 52*x**2 - 729*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0881 + -0.094. What is p rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/21 + 0 + 0. What is the second smallest value in 0.5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168367.\nAnswer: 101, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/19 - 18*r\/19 - 104\/19.\nAnswer: 2*(r - 13)*(r + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 671831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1129, 1425, 1719, 2011, 2301, 2589, 2875?\n\"Answer: -h**2 + 299*h + 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-1 - (-4 + -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 * 9.9.\nAnswer: 1306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, 3\/2, -1\/687, 58?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1215133951 - 159696.\nAnswer: -1215293647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 + -399. Solve -x + 4*j = j - 17, -3*x = -w*j - 31 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*j + 1 = -11, 4*i - 4*j = 12. Suppose 0 = -0*g + i*g - 30. Suppose -3*n + 0*n + 120 = 0. Calculate the highest common factor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59db (base 15) to base 12\nAnswer: b082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 34. Suppose -5*a = 14 + 11, -i - 10 = u*a. Suppose -j + 14 = -i*y, 0*y + 3*j = y. Which is bigger: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205838434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**3 + 2*v**2 + 80*v + 7. Let x(f) = -f**3 - 13*f - 1. Determine -s(k) - 6*x(k).\nAnswer: -k**3 - 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1376792 and 1808?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410 - c - 21001 - 14480.\nAnswer: -c - 34071","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwwj when four letters picked without replacement from {q: 2, g: 4, w: 3, j: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1026 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47341 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 375978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/38)\/(120\/1520) + 20.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 9 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 83*t + 1. Let k be y(1). Suppose -2*n + 46 = 4*r, 5*r = -0*r - 2*n + 58. Calculate the greatest common divisor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 143446 - 20?\nAnswer: 143426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*f - 3*o, 1595*f + 2*o = 1607*f + 88 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:45 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1549995243 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) - sqrt(250)\/sqrt(45) - ((1*sqrt(300) + sqrt(300))\/sqrt(6) + sqrt(50)))\/(1*(sqrt(10) - (sqrt(490) - sqrt(10) - sqrt(10))*-4)) + 5)*-6)**2.\nAnswer: -40*sqrt(5) + 8120\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:45 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = 4*x. Suppose 5*t = 10, -8*k = -6*k - 3*t - 4. Calculate the least common multiple of k and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1 - 8*u - 4 + 0. What are the prime factors of t(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/60)\/(4\/(-3))*114\/19?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -24*r + 8. Let w(m) = -16*m + 5. Suppose u = 36*b - 39*b + 13, 10 = -5*u. Calculate b*i(q) - 8*w(q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 506640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -eda?\nAnswer: edb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2257 - 133?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - z**2 + 83*z + 158. Let i be l(-2). Solve 2*u - 17 = 6*u - n, i*u + n + 15 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -1622, -3601, -6360, -9893, -14194, -19257, -25076?\nAnswer: -31645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11031?\nAnswer: -11032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkkkonf. What is prob of sequence om?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -9. What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12024?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 143*r**2 + 2973*r + 41. What is z(25)?\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 2*q**7\/231 + 9*q**6\/55 - 17*q**5\/110 - 347*q**4\/22 - 45*q**3 - 486*q**2\/11 - 3821*q. Find p such that u(p) = 0.\nAnswer: -9, -1, -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1422 + 0?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3616563023 + -1?\nAnswer: -3616563024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1134600 and -157\/9150.\nAnswer: 1134600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -133*m**2 + 596*m + 750. Determine h(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 16. Suppose 4*a = -k - 65, 2*k + 0 = -a - 18. Let s = -5 - a. Calculate the remainder when i is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = 4, 78*i - 9 = -q + 80*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132232 + 2?\nAnswer: 132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/9)\/a)*a*a**(-3\/5))\/(a**(-1\/9)\/(a**(-6)*a)))**(-5\/4) assuming a is positive.\nAnswer: a**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**5\/k)\/k**(-1\/3))\/(k**(-5)\/(k*k**(1\/2))))\/(k**(2\/9)\/k*k**1)**22 assuming k is positive.\nAnswer: k**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsvvvevvqqvvvqqe. Give prob of sequence vs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 165*g - 822. Let p be d(5). Let l(k) be the first derivative of 0*k**2 - 18 - 2\/3*k**p + 0*k. Let n(c) = -4*c**2. Give n(l(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6745 (base 13) to base 8.\nAnswer: 34126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, d: 3}. What is prob of sequence bbdb?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 91.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (931\/(-5) - -2)\/(((-153)\/(-30))\/(-17)). What is the highest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:07 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-26) - (15124\/(-1235) + 12). What is the closest to 2 in -0.5, h, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 11 - 8 = -2*r, 4*a = 4. What is the remainder when 1646 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8694927?\nAnswer: 3, 107, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 166280?\nAnswer: 166280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093*-0.1.\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + 0*b)*(1 - 1 + 2*b**2) + 0*b - 2*b**3 + 0*b - 25*b**3 + 29*b**3 - 20*b**3 + (-4*b - 9 + 9)*(0*b**2 - b**2 + 2*b**2).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c**2 + 1404*c + 606. Calculate m(83).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/166967 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 3*w - 2. Let p(f) = f**3 + 6*f**2 + 7*f + 7. Let d(j) = 2*j**3 + 10*j**2 + 9*j + 12. Let i(v) = 2*d(v) - 3*p(v). Determine 3*a(h) + 2*i(h).\nAnswer: 2*h**3 + h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 - 1. Let z be l(1). Let m be (15\/35)\/(z\/(-8)). Sort m, -3, -5 in decreasing order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 133*y**2 + 540*y - 1113. What is c(-62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(153) - (-1 + sqrt(153))) + 1))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9471791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7366\/3 + -2488. Let v(z) = 34*z - 1. Let r be v(1). Let s = r + k. Which is the closest to 0? (a) s (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676642*q**2 + q**3 + 676642*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-25) + 1512\/(-135) + 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 3, j: 3, f: 3, w: 3}. Give prob of picking 2 u and 2 w.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 1. Let x = -0.016 + 15.916. Let n = 16 - x. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/27)\/(2\/12). What is the first derivative of 2*z**2 - 2*z**2 - 5*z**3 + 0*z**2 - i wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*j**6 - 4307*b**2*j**4 - 8*b**2*j**2 - 2150*j**2 wrt j.\nAnswer: -120*b**2*j**3 - 103368*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.8 and -11003?\nAnswer: 129835.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6}. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2)*x**(-3\/7))\/(x\/x**3*x)**11 assuming x is positive.\nAnswer: x**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g + 1058. Calculate o(66).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - t**3 - 82*t**2 - 80*t = 0. Calculate t.\nAnswer: -8, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sra when three letters picked without replacement from {j: 2, e: 2, s: 2, d: 2, a: 5, r: 1}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957 - 954. Solve 0 = 4*l - c - 16, u*l - 6 = 5*l + 3*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 920\/(-76) + (-100)\/(-950).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 8. Let y be z(12). What is the third biggest value in -4\/9, y, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/5*(-11720)\/(-12))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:03 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -100\/1173?\nAnswer: -100\/1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380135569 - -5.\nAnswer: 380135574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -471993 times -4.3?\nAnswer: 2029569.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20122001 - -1003?\nAnswer: 20123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:43 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 29*c**6\/360 - 2*c**5\/15 + 11*c**4\/3 - 54*c. Let n(k) be the third derivative of o(k). Differentiate n(v) wrt v.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010011100110 - -10?\nAnswer: -100010011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56772 and 36.\nAnswer: 56772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -85. Suppose 2*u + x = 3. Let o = -12 - u. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -20 - (2 + -1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24603.21*-38\nAnswer: -934921.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 73*b + 2. Let h = -10251 + 10261. Calculate the remainder when u(2) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4934546 millilitres to litres.\nAnswer: 0.0004934546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/6 + 7*r**3\/6 + 4*r. What is the second derivative of n(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 4 + -6 - (-2 + 639). Let z = -588 - c. Solve -51 = -m - z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71811.\nAnswer: 3, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8052356 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2361 + 3.2361. Let x be (2\/(-9))\/((-40)\/(-3)). Let s = -4\/15 - x. Sort s, 2, v in increasing order.\nAnswer: v, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -105*t**2. Let s(l) = -7*l**2 - l. Calculate s(q(y)).\nAnswer: -77175*y**4 + 105*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 14 = z. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + r - r)*(-2 - 1 + 1) + (6 - 4 + 2)*(4*r - 2*r + 0*r) to the form g + x*r and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63438350.\nAnswer: 2, 5, 37, 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829980 rounded to the nearest ten thousand?\nAnswer: 3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5873132*f**4*q + f**4 + 2*f**3*q**3 + 6*f**2*q**3 + 8*f**2*q + 3*f**2 - 2083*q**3 - 2*q wrt f.\nAnswer: 140955168*f*q + 24*f + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67925.89 years in millennia?\nAnswer: 67.92589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13544 + 40?\nAnswer: 14024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2 - 13 + 9*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228364493?\nAnswer: 7, 23, 47, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**4*s - 876*p**2*s**3 - 6*p + 17853*s**3 with respect to p.\nAnswer: -8*p**3*s - 1752*p*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {x: 1, m: 1, o: 3, r: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1537 divide 52487013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41154409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v - 5. Determine o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5)*o)\/(o\/o**(6\/5)) assuming o is positive.\nAnswer: o**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300151 (base 12) to base 2.\nAnswer: -10110110010011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*3476524.\nAnswer: -173826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*x**3 + 0*x**2 + 0 - 1\/3*x**4 + 1\/6*x = 0. Calculate x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ereceepercee. What is prob of picking 1 e and 1 p?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662868 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 1, l: 1, k: 2, r: 1}. Give prob of sequence ilki.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1637 = 5*j, 0*j - 3249 = -4*u - 5*j. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.194 at least as big as 3\/9137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 + (-1 - 5) - (-14 - -12). Calculate the highest common divisor of 616 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/12 - 5*h**2. Let y(r) be the third derivative of 0*r**3 + r**2 + 0*r + 0 - 1\/10*r**5 + 0*r**4. What is i(y(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-25))**26*((((h\/((h\/h**(-1\/3))\/h))\/h)\/h)**(-2\/129))**(-38) assuming h is positive.\nAnswer: h**(-304\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -583254*h. Let q(o) = -7*o**2. Calculate t(q(x)).\nAnswer: 4082778*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 18 = 0. Let k = 6 + x. Suppose k = -m - 0*m + 7. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b + 23*b - 4*b**2 - 5*b + 13*b wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1053*x + 3140 + 61093 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -1\/12*g**4 + 0*g**3 + 0*g + 0 + 3*g**2. Let x(u) be the second derivative of u**4\/6 + u. Calculate v(x(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 28 = l, 8*l + m = 13*l + 76. Let c(z) = -53*z - 2. Let w be c(l). Suppose -t - t = w. What is t rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 10*w - 4728. Suppose 0 = -2*h + 2*x + 358, 2*x = -5*h + w - 259. List the prime factors of h.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6860 + -6859.96259. What is f rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 8. Suppose -2*x = z + 18 - 8, z - 2*x - 2 = 0. Let q(t) = -t. Determine z*q(h) + k(h).\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16804575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.409444ng?\nAnswer: 0.000000000001409444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 7*y**2 - 10*y - 12. Suppose 20 = -5*w - 20. Let s be a(w). Suppose -x - 2 = x. Put s, x, -5 in increasing order.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7169101520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**5\/20 - r**2\/2 - 5. Let n(j) be the second derivative of f(j). Let v(q) = 3*q**2. What is v(n(c))?\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkkkkkiklrvll. What is prob of sequence iv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 8*l - 771 = -4*u, 4*u - 257 = l. Let o = -255 - l. Solve 5*b = -4*n - 25, -3*b = -4*n + 13 + o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 - 97. Suppose -5*c - 2*i = -183, -4*c + 4*i - 2*i + g = 0. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) 2\/17 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(249 - 249 + 88*h) + (-5 - 2 + 5)*(-13*h + 5*h - 10*h) + 1 - 2*h - 1.\nAnswer: 210*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124552 = -47*t + 39*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 13) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*j + 739 = -10541 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7240 = 271*q - 279*q. What are the prime factors of q?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f + 3. Is x(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 12*n + 2. Let a be y(-6). Suppose -10 = 3*s + 3*u + a*u, 5*u = -s - 20. List the prime factors of 3471\/65 + (-2)\/s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7188 or 7173?\nAnswer: 7173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112) + sqrt(112))\/sqrt(8))\/(sqrt(112)*-6).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or 3\/7?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*(i**0*i)\/i))\/(i\/(i*i\/i**(6\/7))*i))**(21\/4))**(10\/9))**(-38\/5) assuming i is positive.\nAnswer: i**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -587 or -580?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135109177.\nAnswer: 7, 149, 129539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 975*g**2 + 1935*g + 965.\nAnswer: 5*(g + 1)**2*(g + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p**2 + 2. Let k(o) = 777*o**2 - 3 + 763*o**2 - 1530*o**2. What is 2*k(a) + 3*q(a)?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 23*g**2 + 22*g - 179. Calculate the remainder when w(-21) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**2. Let o(x) be the second derivative of 5\/6*x**3 - 35*x + 0 + 0*x**2. Calculate o(t(i)).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(52) + 1*sqrt(1300))\/((sqrt(4) - (sqrt(4) - sqrt(768)\/sqrt(12))) + sqrt(4)).\nAnswer: 2 + 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y*y*y\/((y**(1\/10)*y)\/y))\/(y\/y**(2\/7))**(-32))\/(y**5*y**(-6)*(y**6\/y)\/(y*y**(-3))) assuming y is positive.\nAnswer: y**(1663\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 94974 divided by -22\nAnswer: -4317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v - 1. Let j(d) = 0 - 1 - v + d. Give j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 48*d**2 - 24*d**2 - 8 - 25*d - 14*d**2.\nAnswer: -2*d**2 - 25*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 15. Let w be n(5). Suppose -72 = -11*z + w*z. Let j(b) = 9*b + 3. List the prime factors of j(z).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 59. Find the common denominator of -23\/18 and 539\/315 - 5\/(p\/(-2)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 56. Let b be q(-12). Suppose 0 = 4*g - g + c + 1803, -588 = g - b*c. What is the units digit of ((-20)\/(-25))\/((-5)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 2. Let v be 395\/u*(-513)\/(-75). Let c = v - 1357. What is the common denominator of c and 42\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1183 and 4732.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1549389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*n - 73*n + 1908 - 277 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753889 is divided by 1952?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 25*a**2 - 83*a - 32. Let t be l(28). Let p be 8000*((-4415)\/t - (16 - 11)). Round p to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15343512*f**5 + 14245412*f**2 wrt f.\nAnswer: 920610720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3506 - 5.167.\nAnswer: -5.5176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5*h**2 - 4\/5*h**4 - 8\/5 + 28\/5*h + 4*h**3.\nAnswer: -4*(h - 2)*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117627*h**2 + 235239*h\/2 + 15\/2 = 0.\nAnswer: -5\/78418, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 + g. Let i = 383 - 380. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 22*h - 17*h + 270, 2*z = 2*h + 184. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l - 178. Let f be j(18). Solve -12 = -8*z + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*2*9. Let a(g) = -7*g + 7. Let q(u) = -3*u + 3. Let d(f) = t*q(f) + 4*a(f). Let j = 5 + -3. Let y(w) = 3*w - 3. Give j*y(l) + 4*d(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405) + -1 + sqrt(405) + 0 + 0)**2 + (sqrt(25)\/(sqrt(50)\/(sqrt(40)\/sqrt(4))) - 4*1*sqrt(605)).\nAnswer: -43*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34900089?\nAnswer: 3, 7, 83, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -8*x + 63. What is the third biggest value in x, 21, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 + 7. Let d(j) = -225*j**2 - 195. Let a(s) = -6*d(s) - 170*h(s). What is the derivative of a(q) wrt q?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iivsimv. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 - 11*p + 10. Let m be o(7). Suppose -3*c = 2*c - m. Calculate the common denominator of (38\/c)\/((-4)\/8) and 61\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 45*n - 144. Let l be a(-37). Calculate the highest common divisor of 380 and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -r + 464, 8*r - 11*r + 1353 = 4*f. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + (-7)\/3. Let w be l\/6 + (-21)\/(-9). Suppose 5*y - w = 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-1)*9\/((-108)\/20). Let k(w) = 3*w - 25. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 338 = 8*i. Which is smaller: 47 or i?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:29 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 902163, 902018, 901873, 901728?\n\"Answer: -145*b + 902308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 126 and 0.16.\nAnswer: 126.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5315*q = 5293*q + 660. Calculate the least common multiple of q and 6735.\nAnswer: 13470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**(-3))**(-4\/7)*(w**(-1))**(12\/5)\/(w\/w**(-1\/3))**(-28) assuming w is positive.\nAnswer: w**(3368\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-288 + 0)*(-4)\/6. Suppose -3*g + 12 = 0, 4*g - 116 = -4*s + n. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1175\/1919 or -2?\nAnswer: -1175\/1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 1. Let m be (a\/2)\/3*5. List the prime factors of m + 4 + -1 + 16.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 + 2*x + 1. Let y(f) = -f. Let v be y(3). Let w(b) = b**3 - 5*b**2 - 3*b - 2. Let i(q) = v*w(q) - 4*r(q). Determine i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-17)\/4 - 3\/12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/10 + o**4\/24 + 17*o**3\/2 + 68*o**2. What is the derivative of u(g) wrt g?\nAnswer: -12*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t = 53*t - 3, 5*k = 2*t + 9. Find the first derivative of 4*r**3 - 8*r**3 + 7*r**3 + 37 + 0*r**k - 18*r wrt r.\nAnswer: 9*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/11))**(-30\/13)*(x*x*x**(-32))\/x**(-2\/13))**(-3) assuming x is positive.\nAnswer: x**(12984\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-1))\/p*p*p)**38\/(p\/(p**2*p)*p**(2\/3))*((p*p**13)\/p*p*p*p**13)**(-1\/16) assuming p is positive.\nAnswer: p**(1819\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x + 11. Suppose -2*p - 2*m + 4 = 0, 5*p + 10 = 6*m - m. Suppose y + 3*y - 24 = 0. What is the remainder when t(p) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*o + 2, -3*o - 2*o = 3*r - 3. Factor 7*u**4 - 3*u**2 + 3*u**3 - 4*u**4 - o*u**2.\nAnswer: 3*u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -732560 + 1272560. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7877\/7 - 1125. Determine s so that 0*s + x*s**2 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a**3 + 2*a**2 + a - 1. Let g be n(-1). Suppose 9*m + g = -31. Put -2, 10, m in descending order.\nAnswer: 10, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*i*q*s - 2*i*q + 182601*i*s + 32232331*q wrt s?\nAnswer: 32*i*q + 182601*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 3*v**5\/5 - 7*v**2 + 315*v - 404. What is the first derivative of n(m) wrt m?\nAnswer: 12*m**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k - 6. Let s(w) = 4*w + 6. Let d(g) = -5*g - 7. Let j = 13 + -7. Let c be (-66)\/(-10) + 4\/10. Let l(u) = c*s(u) + j*d(u). Calculate t(l(f)).\nAnswer: -14*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -301639.\nAnswer: -301639, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-320)\/12))\/(-70*1503\/18704)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 7971990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4*b + 1 + 14, -4*k = -5*b + 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 3*z**4\/4 + 13*z - 8. Differentiate a(g) with respect to g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -183566, -183572, -183578?\n\"Answer: -6*q - 183560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -n - 13. Let l = n + 89. Solve -l*q - 10 = -5*x - q, -5*q - 23 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/2*146828\/66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*b - 27. Suppose -5*j - 20 + 0 = 0. Let v be (((-24)\/(-2))\/j)\/(-1). Put v, -4, b in decreasing order.\nAnswer: v, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1\/9, 4.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(6064\/12)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 5. Let z = -4 + 0. Let r be b(z). Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 30 = -5*w, 3*z - 4*w + 3 = 2. Suppose p = 8 + z. Calculate the lowest common multiple of (1\/(-2))\/(p\/26)*-21 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*40\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*u + 578 = -963 - 781 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75199*f**3 - 787929 with respect to f.\nAnswer: 225597*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 174 = -5*w + 179, -3*w + a + 215 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 17 = y, -4*g = 2*y - 3 - 15. Find the third derivative of 2*v**4 + y*v**5 + 5*v**2 - 20*v**2 - 2*v**4 wrt v.\nAnswer: 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19733 is divided by 3656.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28009?\nAnswer: 37, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12 + 0.12. Let x be 9\/2*2\/(-12). What is the second smallest value in 3, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195384.\nAnswer: 2, 3, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1088 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*k = 104, -32 = -o + 4*k - 2*k. Suppose 2*q = 3 + 3. Suppose 3*m = -q + o. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - z - 21, 2409*y + 45 = 2406*y - 3*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -25*s**3 + 1960*s**2 + 10575*s - 12510 = 0.\nAnswer: -6, 1, 417\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505057.\nAnswer: 331, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 18 + -2 + -2. Let k be (4 - (41 + 3))*-4. Calculate the common denominator of k\/y*(-6)\/(-22) and 40\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -14. Let p = g - -3. Let s(n) = -2*n - 6. Does 6 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -2)\/(-12)*1*568. Let a be u\/18 - 2\/(-9). Suppose -p + 5 = 0, -143 = -3*n + 2*n - 3*p. What is the highest common factor of a and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 8. Let x be v\/32 + (-126)\/(-8). Calculate the lowest common multiple of (12\/24)\/(2\/x) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(143\/(-286)) - (-1 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3667, -1\/4, 0.4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 15*p**3 + 11*p**2 + 23*p + 12. Let s be w(-9). Is (s - (2 + 2))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/23)\/r**4 assuming r is positive.\nAnswer: r**(-89\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 - 13*k - 9. Let j(x) = x**2 - 19*x + 80. Let q be j(13). Let l(y) = 5*y**q - 10*y - 3 + 0 - 1 + 4*y. Give 13*l(m) - 6*v(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzyavmr. Give prob of sequence mr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.0312152.\nAnswer: 3.0312152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104077679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46520, -46296, -46072, -45848, -45624?\n\"Answer: 224*v - 46744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 94*c**2 + 2425*c + 27. What is k(21)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205343 to the power of 1\/2, to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4665220 to the nearest ten thousand.\nAnswer: 4670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.533 - -1.527. Let o = -13 + b. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/11 - 184*b**4\/11 + 566*b**3\/11 + 12296*b**2\/11 - 13096*b\/11 - 2240 = 0. What is b?\nAnswer: -7, -1, 2, 10, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-11) + 245\/77. Solve 5 = w*o + 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993 + 7\/(28\/(-24)).\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002087 rounded to five decimal places?\nAnswer: 0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 60. Which is bigger: 2\/31 or n?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -54, 1, 50, 93, 130, 161?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 6. Let r be (-41)\/w + (-3)\/(-9). Find j, given that 32*j**4 - 8*j**3 - 28*j**2 - r*j**5 + 22*j - 3 - 1 + 0 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 11*p**3\/3 - 5*p**2 + 5*p + 1. Let y be u(10). Suppose -22 = -g - 2. What is the highest common factor of g and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 54, 116, 200, 306?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585292.\nAnswer: 2, 146323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/8)\/x)**44\/(x\/(x\/x**(-2\/9)*x)*(x**(-17)\/x)\/x) assuming x is positive.\nAnswer: x**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 6*j + 2. Let p be t(-5). Let d(m) = m**3 - 7*m**2 + 3*m - 15. Let w be d(p). Let r(u) = w*u + 3*u - 3*u + 2 - u**2. Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = i + 13, -3*i + 5*b + 1267 = 1300 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.109 and -8.\nAnswer: -6.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*p - 4*b - 203, -5*p + 406 = 4*b. Let l = p + 37. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - 4*w**2)*(2*w**2 - 1 + 1)*(4*w - 2*w - 5*w).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2493*k**5 + 2*k**4 + 16*k**3 + 1321947*k?\nAnswer: 49860*k**3 + 24*k**2 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (90 - 12\/(-3)) - 5 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: d10 (base 15) to base 13\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018020 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-40 + 40 - 4*n)*(6*n**2 + 2*n**2 + n**2).\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 3*j. Let p be a(-3). Suppose 208 = 4*v - p*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 35*n. Let y(d) = -338*d + 180*d + 165*d. Give -21*y(m) + 4*z(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*r + 1 - 1474*r + 587*r - 1536*r + (-5 + 2 + 4)*(4*r - 2*r - 3*r) + 4*r - 6*r + r - 4*r + 5*r + 0*r as m + c*r and give c.\nAnswer: -2421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26c - -66b3?\nAnswer: 6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 742?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/3? (a) 1\/275 (b) 0 (c) -4 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-55272)\/11844)\/((4*3\/(-9))\/10)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, 43, 22 in decreasing order.\nAnswer: 43, 22, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213282 (base 9) in base 8?\nAnswer: -2406133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 50*w**2 + 221*w - 270.\nAnswer: -(w - 54)*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*w - 1, 3*w = 3*d - 24. Let q be (-1)\/(1\/(-2)) - d. Let v(t) = -t**2 - 14*t. What is the tens digit of v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/49)\/x**(-4\/15) assuming x is positive.\nAnswer: x**(181\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165138564*r + 329278910?\nAnswer: -165138564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*s + 4*u - 20 = -442*s, -4*s - u = 0. Let h(w) = w + 1. Let j(b) = -2*b**3 + b + 3. Determine s*h(y) + j(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(72)*2 - sqrt(72)) + 5 + sqrt(72)*3 + (sqrt(72) - ((sqrt(72)*2 - sqrt(72)) + -1))*-6)**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399670168?\nAnswer: 2, 13, 83, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*z, -2*m + 0*z - z = -12. Let s(h) = 8*h**2 - 5*h. Calculate the lowest common multiple of s(m) and 6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63eb1f (base 16) to base 7.\nAnswer: 106442060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e14 - -4b?\nAnswer: -1dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8218753506?\nAnswer: 2, 3, 19, 8010481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:28 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddtdqqndn. Give prob of picking 1 d and 1 n.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/10 + r**3\/3 - 4*r**2 - 9*r. Let c(w) be the first derivative of b(w). What is the derivative of c(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**2 - 63*d**3 + 65*d**3 - 77*d**2 + 127*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115442, 230894, 346354, 461822, 577298, 692782, 808274?\n\"Answer: 4*j**2 + 115440*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*s**2 + 758*n*s - 78*s**2 + 7 with respect to n.\nAnswer: 2*s**2 + 758*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2 - 303*v - 1261. Determine i(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863321 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51400621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111021 + -103321?\nAnswer: -221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/5 - 84*l**2 - 7378*l\/5 - 4584 = 0 for l.\nAnswer: -191, -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16513 + -16188. What is the remainder when 1326 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*u**2 - 5*i**2*u - i*u**2 - 1103980*u**2 - 137997 wrt u.\nAnswer: 4*i**2 - 2*i - 2207960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/4*(-1)\/6*6)\/(-1). Put -1, 785, r in increasing order.\nAnswer: -1, r, 785","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3307102*h**2*j + 3*h**2 + 37*h*j + 50*h - 1038650 wrt j.\nAnswer: 3307102*h**2 + 37*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 0.4, -2, 0.1, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5759)\/4873)\/((-35)\/(-165))\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10674586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2342893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/9 + 4999364*l\/9 - 3332912\/3 = 0. Calculate l.\nAnswer: -2499684, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -195, -436, -773, -1206?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1\/p*p))\/((p*p\/(p\/p**8))\/p)*p*p**(2\/19)*p*p*p\/(p*p**(2\/5)\/p*p) assuming p is positive.\nAnswer: p**(-503\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155875564*g**2 - 4717011*g - 23 wrt g.\nAnswer: 311751128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2 - 2)*(10 + 9 - 6)*(-25*g - 15*g - 27*g) in the form t + c*g + k*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*k**3*t - k**2*t + 192*t with respect to k.\nAnswer: -150*k**2*t - 2*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17119.\nAnswer: 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i + 5. Let j be s(-4). Solve 3*z + 1 = -4*l - 6, 0 = -j*z + 5*l - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/4, -5, -21, 0.1 in increasing order.\nAnswer: -21, -5, -1\/4, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.1 * 1348288.\nAnswer: -54066348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*-30*(-933)\/13684\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - b + 0 + (1 + 1 - 1)*(-2*b - b + 2*b) - 23*b + 35*b + 16*b to v*b + g and give v.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416 - 14.8855713632.\nAnswer: 1401.1144286368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -4*h + 8. List the prime factors of (1 + (-4 - h))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5075 + 5075.1. Is b > 58.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-10 - (-5 - (3 - (-25 + 16))))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 5*w - 36. Let u be -2 - 2*(1 - 2). Which is the nearest to 0? (a) 6 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32027036*a**2 - 182467696 wrt a.\nAnswer: -64054072*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-2 + 2*(0 + -1 + sqrt(68))))**2 + 3.\nAnswer: -3200*sqrt(17) + 28803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 - 2*i - 11. Let y be l(-8). Suppose -2 + y = r. Let c(g) = 12*g. What is the tens digit of c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/3204656 and 73\/1033760.\nAnswer: 32046560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/6560 and 3\/2050.\nAnswer: 32800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*l + 29*l + 43*l)*(7 - 7 + 1 + 13).\nAnswer: 154*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2\/4 - 7971*j\/4 - 1595 = 0. Calculate j.\nAnswer: -4\/5, 1595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632337 to the power of 1\/2, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 578664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**5\/15 - y**4\/6 - y**3\/3 + 4*y**2\/3 - 4*y\/3 + 19. Find g, given that x(g) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -116?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392 + 908. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (6 + -10 + 28 - -9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*h + 448, 3*n + 5*h - 214 - 458 = 0. Suppose -2*a + 180 = 5*g, 16*a + 20 = 12*a. Calculate the remainder when n is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1592 + -0.8408. Which is the smallest value? (a) 0.3 (b) -777 (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5408370.\nAnswer: 2, 3, 5, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -241, -252, -277, -322, -393?\n\"Answer: -d**3 - d**2 - d - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j + u, -3*j - 2*u + 3 = u. Let q be (j\/(-3))\/(6\/54). Let k(s) = 2*s + 2. Let b be k(0). Solve 8*n - q*n = -b*z + 24, 4*z - 20 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158581027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1 + v - 1 - 2 + 0. Give d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = a + 6. Let s be 4 + a\/5 - -8. Suppose 3*c = -p + 40, s*c - 3*p - 12 - 24 = 0. What is the highest common factor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357882 is divided by 1523.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 - 4*z. Let x(o) = 10*o**2 + 5*o. Let r(j) = 5*a(j) + 4*x(j). Let y(c) = -c**2. Calculate r(y(f)).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/140361 and 40\/351.\nAnswer: 1263249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 16*q**2 + 20*q + 7. Let n be h(-14). Let j = 163 - n. What are the prime factors of ((9\/(-6))\/(-3))\/1*j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/2 (c) -32 (d) -5 (e) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2233033?\nAnswer: -2233102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:35 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28697, 230180, 777069, 1842068, 3597881, 6217212, 9872765?\nAnswer: 14737244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 1816*y**2\/7 - 24126*y\/7 - 165780\/7.\nAnswer: 2*(y - 18)*(y + 5)*(y + 921)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-4 - -3))\/1. Is w <= -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*x - 2661 - 646 = -418*x - 343 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1172 - 83?\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, 758, 2315, 4658, 7787?\n\"Answer: 393*q**2 - 408*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 4. Let a be (-9)\/15 - (-266)\/35. Suppose 0 = -3*b + 4*b + 3, -s + a = -4*b. Let o be l(s). Put -7, o, -3 in increasing order.\nAnswer: -7, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let h(z) = 1060*z. Determine h(d(f)).\nAnswer: -2120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/5, 25220, -232 in ascending order.\nAnswer: -232, -1, 2\/5, 25220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -4563 (c) -31.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 8428494843.136?\nAnswer: -8428494841.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43790330*f**3 + 26216*f**2 - 1138.\nAnswer: 262741980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:08 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 104 - 31 + 93)*(-2*t + 0*t - 12 + 13) to the form x + y*t and give y.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 = -3*y + 18*a + 629, 3*y = -2*a - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 3*g**2 - 3*g**2. Suppose 5*h - 30 = -0*h. Let j(q) = 4*q**2. Let n(z) = 3*z**2. Let l(i) = h*n(i) - 4*j(i). Determine l(o(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 16 - 14*k**3 + 0*k + 67\/2*k**2. What is the second derivative of f(y) wrt y?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 11*i = 30. Let q be 4\/i - 56\/10. Let n be 1\/2*(12 + q). Calculate the greatest common divisor of n and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1765716515*s + 2*s**3 - 1765716515*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60320999.\nAnswer: 2243, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 5, w: 4, r: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -11*r**5\/60 - r**4\/24 - 5*r**3\/3 - 4. Let y(n) be the third derivative of p(n). What are the prime factors of y(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1952 + 19.946?\nAnswer: 19.7508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m - 9. Let b(l) = 2*l**2 + 13*l + 14. Let q be b(-4). What is j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 + 20*c**3\/3 + 33*c - 74. Let p be b(20). What is the highest common factor of 132 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 5*s**7\/14 + 29*s**3\/6 - 32*s. What is the second derivative of h(f) wrt f?\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 16*t - 20*t. Suppose -3*b + 3826 = c, -5416 = -t*c + 3*b + 13732. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*u + 13536 + 6400 = 537*u - 31856 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62549.8 times -1069\nAnswer: -66865736.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-2)\/2*1*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80633412, 161266823, 241900234, 322533645?\n\"Answer: 80633411*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/183 and 31\/150752.\nAnswer: 27587616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 43*y + 3*y - 117 = 0. Solve -4 = q + y*g - 4*g, -5 = 3*q + 4*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -50.339717?\nAnswer: -50.439717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/3655804?\nAnswer: 15\/3655804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, g: 1, d: 1}. What is prob of sequence dl?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose -a - 52 = -3*u, -t*u - 2*a - 24 = -4*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 2*i + 10. Let m be x(-5). Let f = 29 - m. Calculate the remainder when 16 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -284, -472, -692, -956?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(2) + sqrt(4)\/sqrt(2) + sqrt(24)\/(sqrt(36)\/sqrt(3)) - (0 + sqrt(98) + -2)).\nAnswer: -4*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3502580934 + 3502580934 + 25*n**2.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*f**2 + 19 - 194*f**3 + 42*f + 69*f**2 - 42*f.\nAnswer: -194*f**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147821 is divided by 472.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1679513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 0.17, 3\/5, -0.24, -3\/4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630887 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135290467 + 1.807?\nAnswer: 135290468.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0 - 2. Calculate the common denominator of (v + -53)\/(-8 - -1) and ((870\/27)\/5)\/(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2. Let x(t) = -2*t**3 - 3*t**2 - t + 2. Give -3*c(a) + x(a).\nAnswer: a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 187.654253.\nAnswer: -37.5308506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -54 - (-6)\/6. Is (-4 - z\/6)\/((-2)\/(-54)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3221*d**2 + 105 + 3221*d**2 - 2*d**3.\nAnswer: -2*d**3 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 7)*(2 + 3*c - 2).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, 12, 42, 84, 138, 204, 282?\n\"Answer: 6*i**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -11.09 (c) -0.2 (d) -1\/8 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380683?\nAnswer: 29, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366848 - -413152. Round m to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) 2 (c) 0.5 (d) 15\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 6:25 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205*k**6 - 36634*k**4 + k**2 + 10192*k + 45.\nAnswer: 24600*k**3 - 879216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**4 + 0*i**3 - 1\/5*i**5 + 4 - 2*i + 0*i**2. Differentiate d(l) with respect to l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58392.7979*-5\nAnswer: 291963.9895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - g)*(-7*g - 2*g - 5*g)*(2*g - 5*g + g) to the form w*g**2 + b*g**3 + s + m*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -821 - -0.02528111\nAnswer: -820.97471889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and 87\/454.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1201469255.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 135*z - 55. Let w(r) = -5*r + 2. Let m = -37 - -60. Suppose -m*h = -16*h + 14. Determine h*a(p) - 55*w(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -55380*s - 781. Let m(y) = -142*y - 2. Calculate -2*j(i) + 781*m(i).\nAnswer: -142*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*q - 25, 5*u + 5 = 4*u - q. Let o(t) = t**2 + 2*t - 12. Let s be o(u). Solve 0 = 5*i - x - s*x, -5*i = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -48 + 260. Let v = -25 + m. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70307\/15 + 4687. Let x be 0 + 2 + (-2432)\/20. Let a = 120 + x. Sort -4, r, a in ascending order.\nAnswer: -4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 1. Let j(g) = 39*g - 1. Let w = 21502 + -21503. Calculate w*j(s) + 3*q(s).\nAnswer: -36*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 119?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:27 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x + 6*x**2 + 4 - x**3 + 15*x + 7*x. Let q be i(8). Sort 0, -3, 1, q.\nAnswer: -3, 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 * -4.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.333 - -2.333. Let u = -0.0763 + -128.9237. Is u greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1\/3, 2, -2 in descending order.\nAnswer: 2, 1\/3, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10618 - -12448. Calculate the remainder when a is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000 - 10100111011111?\nAnswer: -10100100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(128) + (sqrt(2) - sqrt(242)*1))**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2, -10.6, -25, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 + 871 - (0 - -22).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/4 + 35*u**2\/2 + 197*u\/4 - 67 = 0?\nAnswer: -67, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2709.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a + 0*a**2 + 0*a**2 + 7*a**2 + 0*a to the form q*a**2 + b*a + p and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -1267 - x**4 + 669 - 8*x**3 - 100*x + 650 + 57*x**2 = 0.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 125071 and 0.137.\nAnswer: 17134.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-9)\/(-63))\/(2\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**2 - 9*v + 13. Let j(w) = -w**2. Let u(s) = 6*j(s) - n(s). Is u(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuttutttut?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(5\/10*2). Let a be y\/(-16)*674\/95. Let p = a - 299\/8. Do p and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/12721 - 127175\/89047. What is the common denominator of t and 39\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -0.22\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-150)\/4)\/(3\/12 - 1) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 14*z - 11. Suppose -52 = -j + 5*j. What is the lowest common multiple of c(j) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 5*d - 1320 = 0. Let l(t) = 7*t**2 + 58*t + 11. Let o be l(-10). Let f = d - o. Let u(x) = 4*x**2 + 2*x - 1. Give u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 346*o = -342*o - 62, -4*o = 7*b - 67 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 36 = -2*s. Suppose q + s = 12. Let h(w) = -3*w**2 - 2*w + 5. Let u be h(0). Solve 2*l + 2*o + o - 8 = 0, -u*o = 2*l - q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/120, 2\/5, 0, -4, 3\/22.\nAnswer: -4, -11\/120, 0, 3\/22, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-1 + 2 + -2). Suppose 4*q = 3*a + 3*q - 298, 0 = 3*a + 5*q - 292. Calculate the greatest common factor of p and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11516, 23299, 35236, 47327, 59572, 71971?\n\"Answer: 77*j**2 + 11552*j - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*1*(-26 - 5)*(3 - 0).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3412 = -c, -52 - 3352 = -5*z - 3*c. Calculate the highest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 - -4380\/13. Let w = 459\/52 + j. Calculate the common denominator of (-117)\/6*((-18)\/(-16))\/(-9) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -885 - -885.011. Sort -2, -0.07, w, -3\/8, -2\/13 in decreasing order.\nAnswer: w, -0.07, -2\/13, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 3:09 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-6)*87\/(-58) + 68. Factor -1014 - i*a - 2\/3*a**2.\nAnswer: -2*(a + 39)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.46. Let t = -0.09 + c. Does t = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -0*w + 24. Let i = -3 - -3.1. Let z = 0.2 + i. Which is the second biggest value? (a) w (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 4*r**3 - 361 + 738.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5345447.4ms?\nAnswer: 1.4848465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 273346 to the power of 1\/2, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/47 (b) -25 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 5*r + 30 = 34*k, 6*k + 2*r - 26 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6*o = -24, -5*k + o - 53 = -49 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-78) - (((-3655)\/210)\/17 + 54\/63).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 57 = 17. Let v be (-216)\/(-210) + (-6)\/r. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 0.252.\nAnswer: 6.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 183394 (base 11) to base 6\nAnswer: 10020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-165) + (56\/(-70))\/(-4). Let i = -0.5 + 0.8. Which is the nearest to -2\/11? (a) i (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - x + 4, 3*x + 21 = 2*a. Suppose 4*s = 2*n + 534, -5*s + a*n + 813 = 145. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08308 to three decimal places.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*n + 86.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 16*n - 2*n**2 + 14*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*a*n**2 - 267*a*n + 32286*a - 6*n**2 - 3*n + 60 wrt n.\nAnswer: 94*a*n - 267*a - 12*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-43)*b**(-3)*b*b**(1\/5))\/((b\/(b\/(b**(-7)*b)*b))\/(b\/(b**(-3)\/b)))**(-17\/5) assuming b is positive.\nAnswer: b**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 49*k**2 + 358*k + 41. What is z(40)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (1 + -2 - 1). Let o(m) = 3*m + 1. Let f be o(h). Let b be 18\/f + 4\/14. Does 2\/21 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 13*u - 1. Calculate the highest common factor of u and 3562.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -154. Suppose 0 = f - 4*f + 180. Suppose 10 = x - 5*a, -3*x + f = -4*a + 19. What is the highest common factor of x and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*o - 3 - 8 + 11 in the form k + t*o and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 157*u - 208810000. Round u to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(102)*-1)\/((sqrt(66) + 1*sqrt(66) + sqrt(66))\/sqrt(11)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 + 5*t + 7. Suppose -3*w - 8 = 1. Let b be w\/15 + (-31)\/(-5). Let y be v(b). Sort 0, y, -1.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009524533 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.219, -0.6, -1.122, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.5 (b) -59.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (-330)\/(-114)) + 1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o - 27. Let k(r) = -7*r. Suppose 5*z - 4*n = n, 0 = -2*z + 4*n - 4. Let t be k(z). Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89252.586 to the nearest 10.\nAnswer: 89250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -1048, -1566?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 54598 = -2*r, 5*r - r = 3*b - 109197. Round r to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 + -142. Let j = 69 - s. Suppose -29 = 2*h + 17. Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*g - 49228, 20*k - 4*g = 22*k - 32826. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/8)\/(2\/4). Let f = k + 11. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 40*b + 24249.\nAnswer: -(b - 177)*(b + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - 4*j**2 + 6*j**2 - 3*j**3 + (j**3 + 0*j**3 - 3*j**3)*(0 + 4 - 3) + 2*j**3 + 2*j**3 - 3*j**3 + j**2 - 2*j**3 - j**2.\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpzzkkkpkkk. What is prob of sequence kp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -72\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*j + 2*h - 9, -2*h + 8 = 0. What is the greatest common divisor of j and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 39864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27867 (base 9) to base 11.\nAnswer: -13253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 867\/8 - 765\/8. What is the common denominator of 53\/86 and v?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4405570 to the nearest ten thousand.\nAnswer: 4410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 1, p: 3, e: 4, n: 4}. What is prob of picking 1 y, 1 p, and 2 e?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 14. Suppose 34 = 2*r - 2*n, -23 = -2*r + i*n + 11. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -1\/15*o**5 + 2\/105*o**7 + 0*o**3 + 1\/336*o**8 + 0*o**4 + 50*o**2 - 1\/120*o**6 + 0 + 0*o. Factor z(k).\nAnswer: k**2*(k - 1)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23412 (base 8) to base 10.\nAnswer: -9994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5019, 1\/3, 0 in decreasing order.\nAnswer: 1\/3, 0, -5019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 - -3 - ((-165)\/(-41) + (-122)\/5002).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2*n**3\/13 - 4235*n**2\/13 + 2824*n\/13 + 1900. Factor r(q).\nAnswer: -2*(q + 1412)*(3*q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, k: 1}. What is prob of sequence nnnk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 716 divided by 714.\nAnswer: 358\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 145 * 0.22\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3 - 28. Suppose w + w - 10 = 0. Let j = w - 0. Solve 0 = o + u*p + 10, o + j*p = 3*o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 85 + 62)*(2*b**3 - b**4 - 2*b**3)*(16*b - 10*b - 4*b).\nAnswer: -32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 - n + 1. Let l be g(0). Let b(a) = -a + 7. Let u be b(5). Solve -r - l = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*d + 3*s, -s = 32 - 24. Suppose -5*b + 16 = -4*l - 2, 4*b - 12 = 2*l. Suppose -u = -b*u. Solve -d*r = -u - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22806931391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/294)\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.87 - 9.9. What is the closest to 1 in 1, n, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10121121 - -310?\nAnswer: -10120311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + 26\/(-40). Suppose -i - i = -30. Let c = i + -44\/3. Sort c, z, 0.2 in ascending order.\nAnswer: z, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44883*z**5 + 209490*z**2 wrt z?\nAnswer: -2692980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 1110?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = 16*h - 23*h. Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1546*t - 3. Is u(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22181.4 and 0.5.\nAnswer: 11090.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t - 2474. What is g(39)?\nAnswer: -1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and 9.21?\nAnswer: 2.6709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 3. Let a(g) = g - 5. Let i(k) = 5*a(k) - 8*q(k). Let j be i(2). Is (-64315)\/(-35) - 3\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120020635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 12. Suppose 4*c + 3*o - 34 = 0, -c + 4*c - t*o - 15 = 0. Suppose -c*p + 36 = -5*p. What is the remainder when 34 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -99754*t - 8. Let c(k) = 209*k. What is b(c(d))?\nAnswer: -20848586*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/10919 - 10922\/32757. What is the closest to -0.2 in z, -2\/9, 2, 5\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385056 and 10538616?\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/104 and -37\/91?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245080, -245081, -245082, -245083, -245084?\nAnswer: -245085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a - 24. Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v. Let c(w) = w. Let r(b) = -4*c(b) - g(b). Let t(u) = -3*u + 2. Let h(m) = 4*m - 3. Let d(k) = 2*h(k) + 3*t(k). What is d(r(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3779 + 3783. Put 0.5, v, 142\/7 in increasing order.\nAnswer: 0.5, v, 142\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174186290 rounded to the nearest one million?\nAnswer: 174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2*2\/(-2)*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*215.43\nAnswer: 86.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 674\/(-3)*(-54)\/(-36). Let c = u + 334. Let x(l) = -232*l. Let h(w) = -11*w. What is c*x(k) + 64*h(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 31)\/(2\/14) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 324871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 24*m - 63*m**2 - 13*m**2 + 37*m.\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let v(f) = 12541*f. What is v(c(w))?\nAnswer: -12541*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.7 + 2.7. Let k = 14.1 + u. Let s = -0.1 + 1.1. Is k > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198524104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - (3 - -4))\/(-2). Let o(c) be the second derivative of -1\/2*c**3 - 3*c**2 + b + 5*c. Let h(k) = 2*k + 5. Give 4*h(x) + 3*o(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2050784017 to the nearest integer?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:44 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 526341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184 + 193. Calculate the lowest common multiple of 6 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14*p - 2. Let g be c(7). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s**(2\/5)*s)*s))\/s**(-2\/9)*((s\/(s*s**(3\/4))*s*s)\/s)\/((s*s\/s**(-1\/5))\/s))\/((s\/((s*s*s**2\/s)\/s))**(-36))**(2\/57) assuming s is positive.\nAnswer: s**(-2021\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.165949906*0.2\nAnswer: 0.0331899812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 80*a**2 - 17*a - 4545. Determine m(79).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 8*l - 10. Let d be a(5). Suppose 290 = 3*g - 2*i, 3*g + 91 = 4*g + d*i. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/6 + l. Suppose -5*s - 2*g + 12 = -g, -5*s = 2*g - 14. Let n(y) = -3*y - 2*y**s + 3*y. What is q(n(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127927.\nAnswer: 19, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154293771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119.9 + 120. Which is the third biggest value? (a) v (b) -5.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -21, -45, -77, -117, -165, -221?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*m - 6*m + 0*m + (0 + 2*m + 0)*(4 - 2 - 1) + (-127 - 222 + 188)*(0*m + 3*m - 2*m).\nAnswer: -163*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3254 - 3254 + 7264*k**3.\nAnswer: 7264*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:38 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (-1 + 0 - 1)*(1 + 3 - 2))*(30 + 34*k - 17*k - 20*k).\nAnswer: 6*k - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 4 (c) -6 (d) 64 (e) -0.0289 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9.86. Let y = w - -0.3. Round y to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 209 = -2*s + 600, 5*k = s + 803. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**5*s))**(-4\/15)*s*s**9*s**11)**(7\/10) assuming s is positive.\nAnswer: s**(469\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1\/6, 5, -1, -3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -254381, -254375, -254369, -254363, -254357, -254351?\n\"Answer: 6*f - 254387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x + 7. Determine p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 25. Let x(d) = -1789*d - 16102. Let q be x(-9). Put q, -5, -4, g in ascending order.\nAnswer: -5, -4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - d**2 - d**2 + (-2*d**2 + 6*d**2 - 2*d**2)*(-2 + 5 - 1) - 3*d**2 - 3*d**2 - 2*d**2 to x + g*d**2 + y*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 - 3*x**3 + 15*x + 37*x + 1 - 52*x + 3 - 3*x**4 in the form m*x + k*x**4 + t*x**3 + u + h*x**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -697717 + 3?\nAnswer: -697714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/86)\/((-48)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m*m**2))\/(m*m\/m**(-7)*m\/(m\/(m**(4\/3)*m)))*(m\/(m**(-4)\/m)*m**(-8))**46 assuming m is positive.\nAnswer: m**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36443 - 1639214\/45. Let h = 971\/145 - -32\/29. Let z = l - h. Find the common denominator of -3\/7 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 0.04.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5414474 and -119\/24940.\nAnswer: 54144740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/34)\/((-9)\/(-24)). Let f = -161\/102 + v. Let t = 182 - 185. Is f greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -85602217?\nAnswer: -85602222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddcccccd. Give prob of picking 3 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -50. Suppose r*t = 7*t - 500. Calculate the remainder when t is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19811700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20614917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*o - 39*o - 30. What is the remainder when ((-22)\/4)\/(1\/(-2)) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 55*b - 5114. Calculate v(-45).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123883\/13437 + -4\/1493. Let i = -9 - h. What is the third smallest value in i, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -121614 (b) 3 (c) 1\/4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3288677 hours?\nAnswer: 1183923720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 62*o = -44*o - 1876 for o.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.548 - 7.512. Let u = r - -0.06. Which is the smallest value? (a) -5 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*k**3 - 7*k**2 - 946?\nAnswer: -162*k**2 - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 49001414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/24 - m**2. Let g(k) = 9*k**2 - 30*k**2 + 5*k**2 + 9*k**2. What is g(a(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 2, s: 4, j: 2, c: 2}. What is prob of sequence ssj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -710\/2437?\nAnswer: -710\/2437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -1, 17\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -4*t**2 + 213 - 40\/3*t - 2\/9*t**3. Factor b(c).\nAnswer: -2*(c + 2)*(c + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 10:04 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -934351, -934338, -934309, -934258, -934179, -934066?\nAnswer: -933913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*j - m = -156*j + 11, -15*j - m = -65 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 = c + 39, 5*c - 2*v + 311 = 0. What are the prime factors of (-1)\/(12\/(-66) + c\/(-341))?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 107, 135, 135, 95, 3, -153, -385?\n\"Answer: -2*y**3 - 2*y**2 + 48*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24623, 49255, 73889, 98525, 123163, 147803, 172445?\n\"Answer: l**2 + 24629*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -57*t. Let l be (-1 - (-1 + 5))*-35. Let c(u) = 174*u + l*u - 350*u. Give y(c(m)).\nAnswer: 57*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133 - -135. Suppose -17*k - 3*z = -16*k + 9, 2*k - 14 = a*z. Solve k*n - 3*o + 21 = 0, 3*o + 0*o = -5*n - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3890 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*l - 2018*l - 5822 - 1010*l - 1000*l wrt l?\nAnswer: -4069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -z + 3*y, -2*z - 4*y = -9*y - 46. Suppose -2*w - 3 + z = 0. Find the third derivative of -14*i**2 + 0*i**6 + 4*i**6 - w*i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18719760 divided by 4.\nAnswer: 4679940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5922 and 370818?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50923027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/3))\/n*n**(2\/13)*n*n)\/(n**(-10)\/n**(-1\/2)) assuming n is positive.\nAnswer: n**(961\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-4*r**2 + 1141*r - 1091*r + 2*r**2) as l*r**2 + z + o*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62947, 128056, 193165, 258274?\n\"Answer: 65109*l - 2162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*d + 46 - 15, -2*g = -5*d - 29. What is the highest common factor of g and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5\/3 - 346*r**4\/3 - 9916*r**3\/3 - 92336*r**2\/3 + 53824*r\/3 + 48778\/3 = 0. Calculate r.\nAnswer: -29, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 11*y**7\/42 - y**4\/4 + 10*y. What is the third derivative of x(l) wrt l?\nAnswer: 660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 200560905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1 + 0 + 5 + 3*n. What are the prime factors of q(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p - 50 = -2*a, 65 = 2*p + 5*a. Suppose 44*b - 416 - 24 = 0. Calculate the highest common factor of b and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.214074 (b) 0 (c) -5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -19020896?\nAnswer: -19020908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j. Let i be m(5). Suppose 2*g = -28 + 10. Let c be g\/(-42) - 4\/(-14). Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*r - 25. Suppose r*n = -h + 26, 5*h - 2*n = -n. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291644, -291661, -291670, -291665, -291640, -291589, -291506?\nAnswer: -291385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -28*k + 175. Suppose -k*a = -8*a + 9311. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 142522285*m. Let b(q) = -2*q. Determine b(o(d)).\nAnswer: -285044570*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 9. Let i = w - -29. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 3. Let l be j(2). Let u = -33 + 35.6. Let n = -1.6 + u. Which is the closest to -2? (a) l (b) n (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/320597156 and -7\/2.\nAnswer: 320597156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 33 = -4*v, 5*t = -v - 3*v - 17. Suppose -v*o - 1 = 1. Suppose -5*x = -3*p + 4, 5*x = -8 - 2. Are o and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/24 + 4*f**3\/3 - 2*f**2. Let z be w(6). Suppose -z*k + r = -4*k + 20, -5*r = -2*k + 8. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210021212100111 - 100?\nAnswer: -210021212100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:37 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2157 and 4314.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 5*m**3 + 195 - 195.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77 and 10.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 536634 divided by 25554\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26871 divided by -10824?\nAnswer: 8957\/3608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g + 12. What is the third derivative of 4*h**2 + g*h**6 + 2*h**6 + 7*h**2 wrt h?\nAnswer: 960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxwaxkaxkqaxqxqq. What is prob of sequence wk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366854028 by -3.\nAnswer: -122284676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 at least -185662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2042*f**4 + 108 - 13 - 895 - 1295 wrt f.\nAnswer: -8168*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193960408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 1404 = -0*k. Differentiate 0*o**3 + k*o**4 - 129*o**4 + 0*o**3 + 3 with respect to o.\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 22, -3, 4 in decreasing order.\nAnswer: 22, 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmbmvmmxvxxpxvy. Give prob of sequence vm.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 3*(-4 + (-32)\/(-12)). Let f(w) = -232*w + 250. Is 31 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 6:56 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9534\/1816*(-12)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 81*l + 2. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 5*n - 19. Let q = -13 + 5. Let a be k(q). Solve 3*v = a*y + 13, 2*v = -0*y + 2*y + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(18\/(-4)))\/(74\/37)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1705922788 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5 from -191.\nAnswer: -189.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4a7 (base 11) to base 9\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 9?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 31*b**2 + 58*b + 24. What is x(-29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 34.8. Let g = v + 3.200077. Round g to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + (-213)\/142*(-472)\/(-30). Let p(f) = 1. Let h(c) = -24*c + 24. Determine u*p(z) + h(z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23037 and 0.3.\nAnswer: -23036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 g, and 1 t when three letters picked without replacement from gbtqboto?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -3*o, 3*o + 5*s + 0 = 10. Suppose 2*d + 4*y = 4, o*y - 2*y - 6 = 0. What is the highest common divisor of 64 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + (-766)\/40. Suppose -18*f + 234 = -90. Let c be ((-19)\/3)\/(f\/54). Which is greater: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u - 1072 - 48*u + 1072.\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0, 1711 in increasing order.\nAnswer: -55, 0, 1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1 + 2) + (-24)\/(-4). Calculate the remainder when 131 is divided by 10\/45 + (322\/l - 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 15*u**2 + 14*u - 30. Let p be r(-16). Suppose 0 = 2*t + p*w - 2, 0 = -36*t + 35*t + 3*w - 3. Solve t = -8*a - 9 + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15588 is divided by 5151?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32311337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 + -181. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 6*w + 3. Let s be n(-2). What is the second derivative of -14*l + 17*l**3 + 19*l + 4*l**s - 5*l**3 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 8 - 8 - i**4 - i**4 + 3*i**4 + (3 + 0 - 1)*(4*i**4 - 7*i**4 + i**4) + (-2*i**3 - 2*i**3 + 2*i**3)*(-i + 5*i - 2*i).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 42 = 4*u, 3*h - 33 = -5450*u + 5447*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 29. Suppose -w*h = -2*h - 39. What is the highest common divisor of 117 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 35\/11 + 1769*39\/(-174174).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/27 + 11\/54. Let o be 6\/4*8\/6. Let v be (-6)\/(-9) + 4\/(-24). Which is the nearest to o? (a) m (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19671765 less than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddfesdiiqfqidd. Give prob of picking 1 d and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 3. Let d be n(2). Suppose 6*x = 4*v + x + 5, 5*v - 4*x - d = 0. Suppose -2*j - v*y = -4*y - 20, j = 2*y + 5. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0 (b) 1.6 (c) 1\/9 (d) 1\/4 (e) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157182, -314373, -471564, -628755, -785946, -943137?\nAnswer: -1100328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 23*b - 19*b = -4460. Solve 210*l + 52 = b*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k - 3*k)*((1 - 5 + 2)*(0 + 0 + 1) + (2 + 3 - 2)*(4 - 5 - 4)).\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4207*q + 35. Let p(o) = -3535983*o - 29414. What is 4202*k(w) + 5*p(w)?\nAnswer: -2101*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) 232 (d) 2\/13 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 27, -1, -3342, -2.\nAnswer: -3342, -5, -2, -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*x - 2*x - 3*k, -2*x + 8 = -2*k. Solve 7*w - x*w - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322 divided by 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105563, 4, -1\/85 in decreasing order.\nAnswer: 4, -1\/85, -105563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5606348?\nAnswer: 2, 11, 47, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from itytttggy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/10 and 53\/118.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*u + 9 + 720*u - 2159*u - 3 + 723*u.\nAnswer: u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yndyfonyryyon. Give prob of picking 2 n, 1 r, and 1 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 9*m. Let t(o) = 2*o**2 - 5*o. Let s(r) = r**2 + r - 9. Let d be s(0). Let f(p) = d*t(p) - 5*l(p). Let g(a) = a**2. Determine g(f(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38860*k**2 + 0*k**3 - 37589*k**2 + 76449*k**2 - 2 + 31*k**3.\nAnswer: 31*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 4*n. Let h(i) = -4*i + 4. Let v be h(-2). What is the units digit of n\/(1*v)*-28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 9*a = 0. Suppose a = -k - o + 4, 0*k - 2*k + 6 = 3*o. Calculate the remainder when 25 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 2.02. Suppose 0*w + 5 = -3*f + 2*w, 5*w + 7 = f. Suppose z - 1 + 0 = 0. Which is the nearest to z? (a) y (b) f (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68613 is divided by 2541.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317711 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, -4 in decreasing order.\nAnswer: -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j**2 - j + 3 + 2 - 3. Let z be o(-2). Let a = -27 - z. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4 - 150*x**3 + 275*x**2 + 150*x - 280 = 0.\nAnswer: -1, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2, 14, 3, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36 - (-8 + -1 + 5). Let r = 43 - v. Solve -2 = -r*h + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*-2*(sqrt(605) - -1*sqrt(605) - sqrt(605)) - (sqrt(605) + (6*(sqrt(605) + 1))**2 + 4)).\nAnswer: -21816 - 935*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4*g**2 - 6*g - 3\/4*g**3 + 3.\nAnswer: -3*(g - 2)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2805.\nAnswer: 1\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3523*q**3 + 25*q**2 + 10*q. Let x(l) = -2485476*l**3 + 17640*l**2 + 7056*l. Determine -3528*g(w) + 5*x(w).\nAnswer: 1764*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -791000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175*p**5 + 1420*p**4 - 2667*p**3 - 882*p**2.\nAnswer: -p**2*(5*p - 21)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-9))\/((-2)\/3). Suppose 0 = 3*b - j*a - 13, 3*b - 5*a - 9 = 1. Suppose -4 + 19 = b*t. Solve t*w + 4 = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:16 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**(3\/4))*a)\/a)**(-3\/16) assuming a is positive.\nAnswer: a**(-3\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + j**2 - 1. Let m(d) = d**3 + 3*d**2 - 3. Let u(x) = 2*i(x) - m(x). Let f(a) = 4*a**3 - 6*a**2 - a + 7. What is -f(o) + 6*u(o)?\nAnswer: 2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = 9*h - 11*h - 121, -29*t - h - 14 = -25*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, and 1 s when three letters picked without replacement from vsusj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 - 2*z + 2. Let m be a(2). Let s(x) be the second derivative of 0 - 5\/2*x**m + 2*x - 1\/6*x**3. Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -71, -114, -163, -218?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhiuuurritutthtu. What is prob of sequence hii?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13, -0.5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265723972.\nAnswer: 2, 7, 179, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.869 - -50.231. Let l = o + -51. Suppose 5*a = -4*z, 3*z + 2*a - 5 - 2 = 0. What is the smallest value in -0.2, z, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6906.494l in millilitres?\nAnswer: 6906494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/3))**42\/(i**(-2)*(i\/(i**31*i*i))\/i) assuming i is positive.\nAnswer: i**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydylyyyylyyldlyylly. Give prob of sequence dyl.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 - 11*a - 13. Let o(p) = -p**2 - p + 1. Let u(q) = 4*o(q) - z(q). Let y be u(-6). Suppose -28 + 105 = y*x. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103434311 + 101?\nAnswer: -103434210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -12. Is ((-18)\/8)\/(3\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 2. Let j(u) = -9*u + 8. Let r(l) = 10*l - 8. Let f(s) = -5*j(s) - 6*r(s). Calculate -22*b(d) + 6*f(d).\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 72\/14 - 1 - -2 and -87\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27356 at least as big as 27348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f - 6*f - 4*f + 0*f - 3*f + 5*f + (-f - 1 + 1)*(-2 - 1 + 2) to d*f + v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 0, v = -3*i - v - 18. Let m(x) = -2*x - 5. Let p be m(i). Let b(h) = -h**2 + 14*h - 9. What are the prime factors of b(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7 = -3*x, 16*h = 18*h - 7*h + 6*x - 2*x - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 63 + 63 - i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15.03 + 70\nAnswer: 54.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, r: 4, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8190 = -z + 5*d, -2*z - d = 3285. Let m = z + 2401. Is 38 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/12 + k**3 - 2*k**2 + 27*k + 31. Let j(s) be the first derivative of n(s). Give j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - k - 5 = 0, 5*y - 4*k + 2 - 1 = 0. Put -6, -3, y in increasing order.\nAnswer: -6, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 191.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/10)\/1*469\/3283\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - k**2 + 6*k**2)*(-k**2 + 1989 - 1932 + 0*k**2).\nAnswer: -k**4 + 57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -318 and 5.3?\nAnswer: 323.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 11*n - 12. Let r be x(1). Suppose -12*l + 7*l + 4*j + 21 = 0, 0 = -r*j + 3. Solve -l*o - 11 = -o - z, 6 = 3*o + 4*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-2)\/(-19) + 781\/(-5434)). What is the fourth biggest value in -1\/5, f, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 21. Suppose 11*p + f = 6*p. Let d = p + 24. What is the smallest common multiple of 6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/12 - (1 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 6. Let p(n) = -648*n - 26. Calculate -p(v) + 4*r(v).\nAnswer: 644*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 2. Suppose 5*v + 128 = -4*m, 2*v + 143 = -10*m + 5*m. Let u(d) = 39*d + 27. What is m*g(j) + 2*u(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 1\/4, -3\/5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350635371.\nAnswer: 3, 167, 607, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11245*g*u**3*z + 14*g*u**2*z - 3704*g*u*z + 7*u**3*z - 8*u**2 wrt u?\nAnswer: -67470*g*z + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135685417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (49\/(-3) - -2). Let x = -9 + c. Calculate the remainder when 22 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736) + 1) - (sqrt(171)\/sqrt(9)*4 + -2).\nAnswer: 8 + 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201783775 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*u + 5*t + 24, 0 = -u + 5*t - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 10*s - 12. Suppose -5*k + 24 = -4*f, 4*k + 0 = 2*f + 24. What is the remainder when k is divided by y(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 5:38 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25575016*m**5 - 2*m**2 - 555850*m - 3 wrt m.\nAnswer: -1534500960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 = d, 2*k - 69 = -5*d + 3*k. Suppose -4*h - d = 3. Is h\/(-6)*27\/2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1270092 (b) 33 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:02 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1b279e05?\nAnswer: 1b279e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*h - 130 = -2*h, 0 = -h + 5. Let f = -5 - i. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(sqrt(19) + 2)*3 + -5)**2 + (sqrt(57)\/(sqrt(30)\/(sqrt(10)*1)) + 1 + -2)**2.\nAnswer: 688*sqrt(19) + 4824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9481 - 2632.8481. Round s to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 2, w: 2, d: 2, k: 1, i: 2}. What is prob of picking 2 t and 1 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 19. Let s(n) = -n**2 - 16*n. Let c be s(-16). Suppose 5*t + 34 = -0*t + 4*b, 2*t - 5*b = c. Is a(t) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 61\/21 + -4 + 1. Let g = 31\/105 + h. Let t = 8 - 13. Sort t, -1\/4, g in increasing order.\nAnswer: t, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2*u + 14. Let v be r(0). Suppose -v = 10*a - 3*a. Let o(j) = -9*j**3 + j**2 - j + 1. Is o(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/252 and -109\/8388?\nAnswer: 58716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/4, 1, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeqeq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let k(u) = -u**b - 3 - 5*u + 1 - 5. Let z = -10 - -5. Give k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h - 12*h**2 - 10*h)*(2*h - h + 0*h)*(-16043*h**2 - 2*h + 2*h + 17193*h**2).\nAnswer: -13800*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1474 - 1475.3. Let s = 1 - -0.5. Let l = z + s. Which is smaller: l or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = l + 133, -4*l - 129 = -3*h - l. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1483392, 1483358, 1483324, 1483290, 1483256, 1483222?\n\"Answer: -34*v + 1483426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.8 (c) -0.3 (d) 276754 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:29 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*o + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**3 + 6*d**3 + 2*d**3)*(0 + 0 - 2) + 25*d**3 + 7*d**3 + 14*d**3 to y*d**2 + m*d + x*d**3 + w and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 2. Let l = 25 + -12. Let p = 16 - l. What is the smallest value in -2\/3, p, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:09 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.41. Let m(z) = -2*z - 6. Let n be ((-16)\/(-20))\/(1\/(-5)). Let v be m(n). Which is the second biggest value? (a) y (b) -3\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8155*t + 8184*t - 16081*t.\nAnswer: 258*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - s = -4*s - 11, 5*y = 2*s + 29. Solve -5 = -2*b + y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = -4. Suppose -16*i + 586 = v. Calculate the remainder when i is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.5 + 53.2. What is the second smallest value in u, -16, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 8. Let q be w(5). Let m be (-4 + 1)*4\/q. Solve 4 = m*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 8. Let t be r(4). Suppose -t*w + 269 = -g, -g = -2*g - 3*w - 304. Let q = g + 2653\/9. Find the common denominator of q and 35\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(-39)\/(h\/(h**12\/h)*h**(-19)) assuming h is positive.\nAnswer: h**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.723151 millilitres?\nAnswer: 0.000723151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -90123.6 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 37, 57, 85, 121?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-1 - 5 + 4)*(15 + 24 - 20)*(-a + 0*a + 0*a).\nAnswer: 114*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -114134.8642 and 8792.\nAnswer: -105342.8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816*q - 2 = -817*q. Let i = -1362 + 4662. Suppose -v + i = 3*s, -q*s = 2*s + v - 4400. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068223 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1\/((f**2\/f)\/f)*(f**(-2\/3))**(-22) assuming f is positive.\nAnswer: f**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 42. What is u(17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 12*s + 14. Let r be (1\/(-1))\/((-12)\/(-12)). Let w be r\/6 - (-539)\/(-42). Let u be h(w). Is -1\/9 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1543318*m**4 - 7943965*m**2 wrt m.\nAnswer: -37039632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + 0*f)*(494 + 508 + 3152*f - 1000).\nAnswer: 3152*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -283\/3167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.05, -5, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -3) + -6 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 559*m**2\/4 - 1121*m\/4 + 561\/4.\nAnswer: (m - 1)**2*(m + 561)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143? (a) 2\/7 (b) 0.049 (c) -4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-844)\/4 - (-2 + 2). Let o = -126 - p. Let c = -212 + 241. Calculate the remainder when o is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722678*x**4 + x**3 + 10*x**2 + 14357283*x wrt x?\nAnswer: 8672136*x**2 + 6*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 135*m + 107. Let c(r) = -97*r - 107. What is 4*c(z) + 3*f(z)?\nAnswer: 17*z - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 81 = -99 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 5 - 3*p.\nAnswer: -3*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/63)\/((-2)\/(-6)))\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from qqqqiiqqqqqqiq.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29610.\nAnswer: 2, 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*r + 31317 - 31317.\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2868, 4, 847, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-8) - 6)\/(7\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 160678972.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -182, 2\/5, 1\/9, 76.7, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 - -270. What is the remainder when 52 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2550 and 71\/72036.\nAnswer: 30615300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 g when four letters picked without replacement from {t: 1, c: 3, h: 2, g: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12154 (base 8) to base 16\nAnswer: 146c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u + 5*r, -5*r - 6 = 14. Suppose 2*m - 70 = u*m. Is 7 a factor of (m\/4)\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 7. Let g(u) = u**2 - u + 3. Let l be g(z). Suppose 0 = 4*x + 5 - l. What is the highest common factor of 77 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 times -74768?\nAnswer: -358886.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 35, 0, 33, 1 in descending order.\nAnswer: 35, 33, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -89. Let u = 0 - 0.1. Let k = -0.2 - u. Which is the second smallest value? (a) k (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*w**2 - 111*w**2 + 642*w**3 - 1288*w**3 + 631*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, -110898, -3, 5 in descending order.\nAnswer: 171, 5, -3, -110898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/25144, 3\/4, 15.\nAnswer: -3\/25144, 3\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 17*j = 32, 3*v + 37*j = 35*j - 25 - 3 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 737138.2 rounded to the nearest 1000?\nAnswer: 737000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -5. Suppose -3*l - 5*v = 16, 4*l - 12 + n = -v. Differentiate -5*a**3 + 2*a**3 - 1 + 3*a**3 - l*a**3 wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1155631710 - -3?\nAnswer: -1155631705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)\/(n**(-18)*n))\/((n**(1\/5)*n)\/(n*n**2)) assuming n is positive.\nAnswer: n**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -387, -651, -831, -927, -939?\n\"Answer: 42*t**2 - 390*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 65. Let c be (-2)\/x*1 + 10\/24. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + sqrt(65)*2)*-4)\/(-2*sqrt(245) - sqrt(245) - sqrt(245) - sqrt(245)))**2 + 1*(3 + (sqrt(208) + 3)**2).\nAnswer: 24*sqrt(13) + 271697\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -899 by -5.\nAnswer: 899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4 + 1 + 57. Suppose 45*u - x*u = -483. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 34*t. Let s(c) = c. Determine h(s(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70860 divided by 14172?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose 59 = 3*i - h - a*h, 4*i = 2*h + 92. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:41 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 8. Calculate j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and 0.3?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 5. Let j be c(0). Suppose 3*b = j*d - 3 - 11, 5*b = d + 6. Suppose 0 = 6*s - s - 4*l - 6957, 3*s + d*l = 4187. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -97*r + 1570 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709290 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 56 = 3*o + 9*o, -3*l - 45 = 3*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0 (c) -4 (d) -6 (e) 1051 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(2)*-2)\/(-6*sqrt(32) + sqrt(2)).\nAnswer: 2*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 66. Suppose -5*h + i = -0*h. Suppose -3*l = -5 - 1, 0 = -5*q + l + h. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 2e?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {n: 2, k: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 14 + 7)*(28 + 22*x**3 - 20*x**3 - 10) in the form p*x**2 + q + s*x + g*x**3 and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1. Let q(z) = z - 3. Let o = -468 + 471. Give o*t(f) + q(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1059a - -990a?\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*g + 5*g. Suppose g = p + 16. Is p != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 3:36 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7 - (12 - 20)) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235 + -199752.\nAnswer: -199517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*b - 169 = -170, -b = 4*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*f + 15*f = 53*f - 272. Calculate the highest common divisor of f and 1874.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and 5460?\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**7\/168 + q**6\/96 - 5*q**2\/2 - 2*q. Let n(j) be the first derivative of c(j). Factor n(x).\nAnswer: 5*x**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -31*q**2. Let s(o) = 126*o - 112. Let m(i) = 14*i - 12. Let d(y) = 28*m(y) - 3*s(y). Calculate g(d(z)).\nAnswer: -6076*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Suppose 0 = 2*o + 3*o. Solve 3*b + w = k, -b - 5*k = -o*b + 27 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 149, 325, 571, 887?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -21*s - 24. Suppose -20 = -5*a + 10*a. What is the units digit of p(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106 - (-10 + 99)) + 7 + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n, 3*y + 2*y - 2*n = -95. Let g = 0 - y. Let z = 0 - 0. Solve 4*j - 37 = -5*s, z = -5*j - 4 + g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -9, 2 in descending order.\nAnswer: 2, -2, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 467489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 2*d. Let x be b(-2). Let t be (4\/8)\/((-1)\/x). Calculate the greatest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -4\/3*b**3 + 0*b**2 + b**4 + 4\/5*b**5 - 2\/3*b**6 + 0*b - 1. Find l such that z(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/516 and 101\/2064.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298a83 (base 11) to base 7.\nAnswer: 3650035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and (-11)\/2*(-6)\/6*4?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 260*p - 323*p - 693 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t - 4 = -i, -3*t + 28 = -5*i. Suppose 4*g = -t + 62. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605175370 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6197, -6202, -6207, -6212?\n\"Answer: -5*i - 6192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 14) to base 2\nAnswer: 11010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*i**3 - 10*i**4 + 259*i + 15 + 11 - 26 - 5*i**4 wrt i.\nAnswer: -180*i**2 + 222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2252.44 to the nearest ten.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j**4\/11 - 652*j**3\/11 + 898*j**2\/11 - 8*j\/11 - 280\/11 = 0 for j.\nAnswer: -10\/21, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 41. What is a(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 7*i**2 - 99*i**4 + 2*i**3 - 3 + 0 + 101*i**4 as f*i**3 + x*i**4 + n + y*i**2 + k*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47545*w - 47584*w = -741 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 127, -7, -0.4, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -34*f + 3405. What is u(100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 103007, 102942, 102827, 102656, 102423, 102122, 101747, 101292?\n\"Answer: -j**3 - 19*j**2 - j + 103028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -524 and 6.4799?\nAnswer: 530.4799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*o + 47 - 33 = 0, 4 = -4*o. Let d(y) = -2*y**3 + 82*y - 82*y + 1 - 2*y**2 + 3*y**3. Give d(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = -h + 13*t - 10, 6*h + 2*t + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.837 + 0.163. Let h = 37.94 - 38. Suppose 3*j + 16 = 4. Which is the second smallest value? (a) t (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*x. Solve x = 4*i + 1 - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -40, -71, -116, -181?\n\"Answer: -b**3 + 2*b**2 - 22*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Let h be (-7)\/j + 0 + 2. Solve -h*l**2 - 12\/5 + 12\/5*l = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346417840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b**(-1\/4)\/b)\/b)\/b)*b**(1\/3)*(b\/(b*b**(2\/9)*b))\/b**(-6\/5))**(-3\/7) assuming b is positive.\nAnswer: b**(-641\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 170*i**3 - 620*i**2 + 600*i.\nAnswer: -5*i*(i - 30)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -1)\/(16\/(-24))*-1. Let h be (-2 + (-5)\/((-5)\/a))*3. Solve -27 = 3*s - 3*l, -4*s - h*l + 1 = 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*a**2 - 1102 + 1102)*(-1 + 2 - 3)*(-2*a + 3*a + 0*a) in the form q + s*a**2 + t*a + v*a**3 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 10:38 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a769 - 5?\nAnswer: -3a76e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 1777551016?\nAnswer: -1777551015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n + 2*y = 14, -5*y + 11 = n. Suppose 168 = 6*t + n*t. Suppose 10*h + 612 = t*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6389864 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -113, -79, -36 in increasing order.\nAnswer: -113, -79, -36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/4 + 0)*-2)\/(-1). Let y be l + -1 + -2 + (0 - -7). Solve 5*h + 25 = 4*s, y*s = -2*h - 2*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -8, -5.\nAnswer: -8, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6800 divided by 1360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 30. Let i be l(-16). Suppose -w = i*h - 11, 0*h - 5*w = -3*h + 10. Solve -2*t = -h*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-4 - 4) + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from xlebzbedz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 5 = 16*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Suppose -5*d + 132 = -2*d. What is the remainder when d is divided by q(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51364.\nAnswer: 2, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*22\/(-10))\/(214\/535*(-3)\/6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**3*o**2 + 146*k**3*o - 71898*k**3 - k**2*o - 75857499*k*o**2 wrt k?\nAnswer: -18*o**2 + 876*o - 431388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213 and 33.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -126, 39102, -5\/6?\nAnswer: 39102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*25\/(-250))\/((-2)\/(-5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33110747 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1372, 2, 0, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/250 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/2 + 5 + -31. Suppose 0 = -5*m + 2*o + 134, 4*o - 137 = -5*m + 5*o. Let d = m + s. What is the remainder when 15 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 2*r + 4. Let j be h(0). Solve -2*t - 4*k = 24, 3*t + 0 = 2*k + j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12194 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 - -31. Let g be -4*63\/(-36) - 8*-7. Let a = s + g. Calculate the greatest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifpdfpidiipdffppifd. What is prob of sequence ii?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*o - 12, -124*w - 1 = -121*w - o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(99)*4 - -1*2*sqrt(99)) + (((sqrt(99) + 1)*6 - sqrt(99) - sqrt(99)) + 1*sqrt(99) + -2)*-4 + -4)*-6)**2.\nAnswer: 43200*sqrt(11) + 370800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1747091 and -1024097.\nAnswer: -2771188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/24 - 2*a**3\/3 + 3*a**2. Let u be g(-9). Suppose -62 = -3*w - 14. Solve 5*v + u*p = -35, w = -3*v - v - p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4956.04199985 + -4955.642. Let p = -5.6 + 6. Let t = p - j. What is t rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + ((sqrt(66) - sqrt(66)*3)*-2 + sqrt(66) - sqrt(66)) + sqrt(66))\/(sqrt(54)\/(sqrt(9) - sqrt(1296) - sqrt(9))).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217910490 and 2255?\nAnswer: 2397015390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*w - 3 = -1, -5*f - 5 = -5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10*d**2 + 86*d - 8 - 7*d**2.\nAnswer: 3*d**2 + 86*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 9. Let m be g(9). Suppose m*t + 2*t + 2 = 4*p, -2*t + 2*p + 4 = 0. Let x = t - 4. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14042149 or -14042148?\nAnswer: -14042149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 2. Let f be 6 - 1 - (3 - 1). Give x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 + 5700000*o**2 + 8*o. Let d be v(0). Suppose -5*h + h = d. What is h rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662733*k**4 - 31*k**2 - 28034*k + 1 wrt k.\nAnswer: 15905592*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -523\/24?\nAnswer: -523\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(2\/(-32)). Let b = v - 14. Let f be ((-4)\/b)\/((-3)\/150). Solve -5*l + 0*l - f = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847) - sqrt(847)) + 4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:08 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 - -305. Suppose j*s - 6*s + 36 = 2*w, 5*s = -3*w + 94. Solve 5*t - s = -15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let r(l) = -193*l**2. Give r(y(u)).\nAnswer: -193*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -1\/3, -0.2, -1\/4, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1559*93.\nAnswer: -14.4987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14244931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.634 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 273 = -102. Let a be (-4)\/(-30) - (-290)\/h. Suppose -4*i + 9*d = a*d + 10, 0 = -i - 3*d - 11. What is the closest to 0 in 0.6, i, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.079 + -26. Let g = 9.221 + x. Round g to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*l - 225. Let v be 6\/l - (-18)\/(-63). Do v and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, n: 2, o: 4}. Give prob of picking 3 o.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/13 in 0.5, -1\/9, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + 34. Suppose -67*l = -m*l - 15. What is the highest common factor of 147 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88954650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - t + 0 + 0 = 0, 5*t - 16 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 329083579*b*l**2 - 1021*b*l - 6347*l wrt l.\nAnswer: 658167158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let f be 4\/(-7) - 1244\/28. Let s be f\/(-30)*2\/(-11). Are s and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4720 + -32.1?\nAnswer: -4752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = 2*j. Let i be 297\/55 - j\/(-5). Suppose -3*s + i = -67. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (5*11)\/1. Let j(c) = -c**3 + 22*c**2 - 56*c + 39. Let k be j(19). Let r = k + b. Solve 8 = -6*u + r*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 14*b**2 + 3*b - 10. Is j(12) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 25 = -11*q. What are the prime factors of (-2778)\/6*(0 - q) + -2?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/150 and 34\/13590075?\nAnswer: 27180150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5682 divided by -6.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.487 + -43. Let g = -68.513 - d. Which is the closest to g? (a) 4\/5 (b) -0.04 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m = -6*m - 237. Solve m*i + 77 = 68 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 24*g + 24*g + 26*g + 40*g.\nAnswer: 76*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 49*g - 19. Let r be z(16). Let u(c) = c**3 + 5*c**2 + 2*c - 3. Determine u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 458673194 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 36650 + 127696 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -10. Let m be (-3)\/4*(-2)\/(-6). Do a and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: What is the nearest to -4 in -2\/9, -0.4, 0.4, -1544, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67313, 67256, 67199, 67142, 67085?\nAnswer: 67028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46\/5 of a kilogram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u - 11*u + 10*u**2)*(3*u**2 - 2*u**2 - u + 2*u).\nAnswer: 10*u**4 + 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67624 and -19.3.\nAnswer: -1305143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 5*o + 2*c, 78 + 209 = 5*o - c. What is the greatest common divisor of 38 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21737 - 20741. Calculate the highest common factor of t and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2080?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12028, -12299, -12568, -12835?\nAnswer: -13100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 + 480*i**2 - 37050*i + 929500 = 0. Calculate i.\nAnswer: 65, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 598 = 14*j. Calculate the remainder when j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719286 is divided by 905.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 14bd06?\nAnswer: -14bd23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21698827 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 345*n**2 - 173*n - 13. Calculate s(-173).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106.8956 + -103.295532. Let c = -2.568 - 1.032. Let l = c + b. Round l to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*b - 22 + 32 = -468 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -35*w - 37. Let j be f(-1). Let v be 5\/10 + (-3)\/12. Which is the closest to v? (a) 2\/9 (b) j (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11592089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -12. Let s(v) = v**3 - v**2 - v. Suppose 5*w + 4 = w. Let l be s(w). Put l, 0, y in increasing order.\nAnswer: y, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 951763\nAnswer: -475881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 30726?\nAnswer: -153630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 5*u + 14. Put -13, 0, u in descending order.\nAnswer: 0, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0 - 2*j**2 + 0*j**3 - 5\/24*j**4 + 0*j. Let u(y) be the first derivative of -3*y**2\/2 + 489. Determine u(a(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51865\/3 + -17660. Let o = h + 375. Let n = o - 56\/15. Sort n, 2, -0.2.\nAnswer: n, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiiiyiiiiii. What is prob of picking 3 i?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4, 0 = 3*s - 4*j + 8*j - 10931. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -4270. List the prime factors of q.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 6\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451114.8 weeks to microseconds.\nAnswer: 272834231040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1427750 (base 8) to base 9.\nAnswer: -677183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 24074. Let k be n(0). Let u be (12\/(-12))\/((-32)\/k). Let x = 748 - u. What is the common denominator of x and 43\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 751, 1570, 2519, 3658, 5047, 6746, 8815?\n\"Answer: 10*g**3 + 5*g**2 + 734*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -10098.\nAnswer: -1\/1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11976, 23969, 35970, 47973, 59972?\nAnswer: 71961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/25341 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 939*i**5 + 7*i**3 - 1038*i**2 + 7. Let w(h) = -626*h**5 - 5*h**3 + 692*h**2 - 5. Let z(j) = 7*w(j) + 5*y(j). Find the third derivative of z(v) wrt v.\nAnswer: 18780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2822, -2993, -3160, -3323, -3482, -3637, -3788?\n\"Answer: 2*x**2 - 177*x - 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/1289 (c) -1 (d) -2 (e) 0.1 (f) 11261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2989*q. Let z(t) = t**2. Give z(s(u)).\nAnswer: 8934121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 7. Calculate y(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 9*k**2 + 9*k - 3. Let t(l) = -3*l**2 - 9*l + 2. Let r be t(-4). Calculate the remainder when 20 is divided by y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**2 - 4*s**2)*(4*s - 4*s - s**2 - 4*s).\nAnswer: s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1905 + -1390. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 125*d**2 - 5448745*d + 16347225 = 0.\nAnswer: -1033, 3, 1055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 + 25*f - 13 + (-1 + 2 + 1)*(4*f - 2*f - 3*f))*(-4 + 5 + 8).\nAnswer: 207*f + 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67164988.\nAnswer: 2, 11, 709, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 81529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7976 rounded to one dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/11)*k*k*(k**37*k)\/k assuming k is positive.\nAnswer: k**(430\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 26, 90, 222, 446?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7923 - 574*b**2 + 7923)*(-6*b**3 + 2*b**3 + 2*b**3).\nAnswer: 1148*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 811*x**7\/7 - 176*x**3 - 671. Find the third derivative of d(k) wrt k.\nAnswer: 97320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19\/2. Let l = 17\/10 + v. Which is the smallest value? (a) 1\/9 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18854021333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s - 4*s + 3*s to the form k + u*s and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 20 = -3*o. Suppose -d - d = r + 5, 12 = -o*d. Suppose -t + x + 47 = r*t, 4*t + x = 49. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11 = -38. Let w be (-384)\/15 + (-12)\/30. Let m = 42 + w. What is the remainder when m is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -106, 2, 69, -10 in ascending order.\nAnswer: -106, -10, 1, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -202, -401, -592, -775, -950, -1117, -1276?\n\"Answer: 4*l**2 - 211*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -580 * 1.12.\nAnswer: -649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(-4\/5))\/r))**(1\/17)*(r**(-3))**5 assuming r is positive.\nAnswer: r**(-1274\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by ((-633)\/(-422))\/((-6)\/(-56))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.8, -3, 15 in decreasing order.\nAnswer: 15, 3, 0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqjjq. What is prob of sequence qqj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8)**(-1\/81)*(o**(-7\/4)*o)**(-30\/7) assuming o is positive.\nAnswer: o**(3533\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 3. Let u(b) = b**2 + 11*b - 15. Let i(v) = 3*v + 63. Let n be i(-12). Let k = n - 25. Determine k*u(s) - 11*z(s).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + ((-1510)\/(-3) - 11\/33). Suppose 21*x + w = 25*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 - 7*r - 26 + 4 - 5 - 2*r + 0 + (4*r - r - 2*r)*(1 - 2 - 1) + 0*r + 3*r + 0*r + 2*r + 5*r - 5*r.\nAnswer: -6*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1173?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 5*g - 296. Let t be a(0). Let y = 562 + t. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*k**2 - 151*k + 352*k**2 - 174*k**2)*(4 - 3 + 0)*(-k - 3*k + 3*k).\nAnswer: k**3 + 151*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 4, c: 1, m: 5}. What is prob of picking 1 k and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - -3026. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 54*k**2 - 3*k + 54 = 0. What is k?\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -728 + 879. Which is greater: 1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652739.\nAnswer: 1301, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182682939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 80 = -0*l. Let v be (-21 - -24) + 3 + -1. Calculate the highest common divisor of v and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m**2 - 34*m**2 - 31*m**2 + 28 - 15*m**2 - 21 + 127*m**2.\nAnswer: 6*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 1325. Let k(w) = 5*w - 797. Let b(v) = -5*k(v) + 3*p(v). Let i be ((-16)\/6)\/(8\/36). Let j be (-2)\/8 + (-123)\/i. Determine b(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose 4*m - 2*f + 68 = 330, -2*m + 133 = -v*f. Calculate the remainder when m is divided by (-176)\/(-8) + 6 + -5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i + 16. Let z(x) = -164 + 252 - 87. Calculate -r(w) + 16*z(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27 - -19) + 1)\/((-7)\/15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 139\/3. Suppose 0*n - 2 = 2*n. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5513 and 2368?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(3 - (-13)\/(-4))*2. Suppose 5*n - 3 = 2. Let y = n + -1. Which is the smallest value? (a) 0.1 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516888089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.782 and 17.78.\nAnswer: 25.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.14 - 8. Let y = 3\/155 - 34\/155. Put 0.4, h, y in decreasing order.\nAnswer: 0.4, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*d**2*i + 2*c*d*i**2 - 631*c*i**3 - 52*d**2*i**3 + 3*d**2*i - 5*i**2 wrt c.\nAnswer: 4*d**2*i + 2*d*i**2 - 631*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 5*a - 85 = -4*f, 4*a - 5*f - 68 = 0. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18109 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = -8. Let n(u) = -u**2 + 3*u. Let w be n(p). Suppose -w*q - 2 = -8, -g + 4*q = 12. Solve g = 3*x + x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 30\/7, -11794?\nAnswer: -11794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 137?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4494, 8937, 13312, 17583, 21714, 25669, 29412, 32907?\n\"Answer: -6*t**3 + 2*t**2 + 4479*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -186824, -373655, -560486, -747317?\n\"Answer: -186831*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = w, -3*w + 5 = -2*k + 18. Suppose 0 = 5*v - k*v + 5*a - 3, -v + 4*a = -18. Calculate the smallest common multiple of 10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25120812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, f: 3, e: 2, a: 1, b: 1}. Give prob of sequence abfo.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.4. What is the second smallest value in -4\/5, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.4 and 0.17.\nAnswer: 1.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -46?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4441 + 4286 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -136345 + -2?\nAnswer: -136347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*k + 27 = 114*k. Which is the closest to 0? (a) -2\/3 (b) 42 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*k - 4 = 0, 0*m + 4*k = 2*m - 4. Suppose 5*j = -g, -21*j + 17*j - 12 = m. Calculate the remainder when 89 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -1 - (-755 + 762) - 14 - (1 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o + 5. Let z = -16 + 10. Let v be l(z). Suppose v*i = 3*i + 16. Solve d = -d - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6)*-8)\/((-142)\/(-213))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 244\nAnswer: -23\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 138680 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.7. Let z = 110 - 106. Let f = -0.1 - 0.4. Which is the closest to k? (a) 1\/2 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1291597704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13533 - -13521 - (0 + (-3 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3181? (a) -1\/4 (b) 6017 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1) + 50\/5. Suppose 8 + b = -4*h. Let c be 2*h\/8*-5. Sort 3, c, 2.\nAnswer: 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3399*z - 270*z - 290997 = 0 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.5 or 222479?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**4 + 2*j**2 + 5*j. Let s(m) = -15*m**4 + 5*m**2 + 11*m. Let i(y) = -5*r(y) + 2*s(y). What is the second derivative of i(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -0.064?\nAnswer: -1.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -2) + (1 - (4 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*70\/3. Let s(h) = -60*h**3 + 35*h**2 + 35*h - 35. Let z(a) = -5*a**3 + 3*a**2 + 3*a - 3. Give l*z(x) - 3*s(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586816.\nAnswer: 2, 13, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1004 + 6280*b + 2008 - 1004 in the form i*b + y and give i.\nAnswer: 6280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3725\/(-25))\/(-26373)*3*4\/6?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*t + 12 = 0, 2*f - 3*t = 2*t + 8. Suppose 0 = -2*l - 0*l - 10, 0 = -f*n - 2*l - 14. Let z(q) = 7*q + 1. Calculate z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 647\/5. Suppose -341 = 2*x - 413. Let o be -8 + -1 + 351\/x. Which is the closest to -1\/2? (a) q (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (25 + -12)) + (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 10)*68\/(-8). Let s = y + -98. Solve 2*c + 2*p = 2, -7*c + 6 = -2*c + s*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 51*p + 27*p**3 + 16*p**3 + p**2 - 41*p**3 in the form z*p**2 + a*p + w + g*p**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 773788973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 12}. Give prob of sequence uu.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 0*y)*(8 + 2 - 4) + 5*y - 2*y - 4*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 5*z - 50, i + 15 = 9*z - 7*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3.14. Let y = a - 0.13. Let m = 4 - 3.9. Is y greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-19 - (-11 - 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 2. Suppose 5*p + 4*h = 8, -h = a + 1. Solve -5*d - 21 = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (-114)\/(-18) + (-766)\/(-6). Let x = a - 28. Suppose -26 - x = -2*g. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 247 - 104. Let l = w - -446. List the prime factors of l.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 8) to base 12\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -257\/6 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 0)*(-38*u - 37*u + 15*u).\nAnswer: -420*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = g + 2*x + 10, -5*g + 5*x = -25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 796144 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17653573 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 + u + 2 - u**3 + 2*u**2 + u**2 + 3*u**2. Let k(x) = -x**3 + 5*x**2. Let p be k(5). Suppose -5*n + f - 6*f = p, -2*n + 2*f = -12. Give j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2446402440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.97 + 0.03. Let x = 8.3 - o. What is the nearest to -1 in 0.1, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14 + 25*j**3 + 9*j + 12 - 25. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(119) - sqrt(119)*2*4)\/((sqrt(70)*1)\/sqrt(10) - 5*sqrt(112)).\nAnswer: 10*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 5. Let i(d) = -24*d - 892. Let c be i(-37). Let k(o) = o**2 - 10*o + 9. Let u be k(9). Let v(b) = -4 + u + 3 - 3. Determine c*l(f) - 5*v(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 3. Let r(a) = -a**2 + 8*a - 9. Let q be r(6). Suppose -3*m = y - 7 - q, y = 2*m. Calculate d(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 134. Let x(j) = 7*j + 4. Let g be x(6). Let t = b - g. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 + 17*v**3\/6 - 5*v**2\/2 - 59*v. Suppose -x = x - 30. Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 14*l + 301*v - 52 = -23*l, 0 = l + 4*v + 26 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 10*j**4 - 3*j**3 + 28*j**2 + 20*j.\nAnswer: j*(j - 10)*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/161 and -54\/35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305314 is divided by 272.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 444, 438, 420, 390?\n\"Answer: -6*y**2 + 12*y + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 899531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124108?\nAnswer: 2, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20620 + (5 - 4)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -33)*2\/18*8\/(-10)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlllqllqili. What is prob of sequence ll?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15389 - 0.15389. What is the closest to -5\/4 in -0.3, -1.8, f?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/76 + (-204)\/228.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863192516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*w + 981*w - 4*b = 15, -4*b = 4*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20422 divided by -8\nAnswer: 10211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53*2*(-6615)\/(-13230)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4)*2)\/((-540)\/322704*-83)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:20 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 575, 563, 511, 413, 263, 55?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -881 <= -39162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -3 - (0 + 0). Let o(h) = -h**2 - h**2 - t + 3*h**2. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 2096\/3)*(4 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 3 - 3)*(439 - 22*i - 439).\nAnswer: 44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 27, 38, 51, 66, 83, 102?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278472702?\nAnswer: 2, 13, 49172027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 853 - 268. Suppose 3*i - l = 777. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -874*w**3 - w**2 - w - 2. Let o = 9 - 7. Let l be d(o). What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 323, 648, 973, 1298?\n\"Answer: 325*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/3, -4, 432?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {w: 3, q: 3, c: 1, j: 3, k: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r)*(2*r - 2 + 2) - 213*r**2 + 217*r**2 - 231*r**2 + 2*r.\nAnswer: -225*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*f + 26056 = 5048 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 + 3*k**2 - 6*k - 16. Let j(i) = -8*i**3 - 4*i**2 + 7*i + 19. Calculate 3*j(l) + 4*z(l).\nAnswer: 4*l**3 - 3*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Suppose -4*g + 4*l = 64, 42 = -4*g + 2*l - 22. Let t(a) = a**3 + 16*a**2 - a - 22. Let r be t(g). Calculate y(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1056)\/440*(3\/12 - (-6)\/(-264))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 157, 309, 451, 577, 681, 757, 799, 801?\n\"Answer: -w**3 + w**2 + 156*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 27*r**5 - 6*r**4 + 6*r**2 - 10*r + 30*r**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -2*g + 6*g - 5*s, 3*s + 39 = 2*g. Suppose -g*x = -29*x + 198. What is the remainder when 178 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = b + 3*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 85, -15, -2\/3, -5?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(32\/(-11472)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9478?\nAnswer: 2, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -453?\nAnswer: -4\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -14638.\nAnswer: -14638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and ((-21)\/(-6) - 2)\/(1\/12)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1107155 divided by 4519.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*j**3*l**3 + 2*j**3*l**2*s + 2*j**3*l*s - 65*j**3*s - j*l**3 - s wrt l.\nAnswer: -480*j**3*l + 4*j**3*s - 6*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9172 - 256785\/28. What is the common denominator of n and -73\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -9.51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(77) - -3*(sqrt(77) - sqrt(77)*3))\/((sqrt(7) - sqrt(21)\/(sqrt(192) - sqrt(3)))*3)*4.\nAnswer: 56*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 506 - -35. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -211, -452, -789, -1222, -1751, -2376?\n\"Answer: -48*o**2 - o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -260, -1043, -2348, -4175, -6524?\n\"Answer: -261*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25 - 37)*((-1)\/2)\/(-1). Does 50 divide ((-50)\/i)\/((-45)\/(-6210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32150 - -13011?\nAnswer: -15135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/8316 and -41\/693.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**10*u))\/(u\/(u\/(u\/u**(-2)))))\/(u\/(u\/(u*u*u*u**(5\/2)))*(u\/(u*u\/u**(-1)))\/u))**(-7\/4) assuming u is positive.\nAnswer: u**(217\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 1110.1905.\nAnswer: -1111.2905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:38 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 58. Let i be 4\/26 + (-1106)\/91. Let n be (1 - 3)\/(i\/54). What is the highest common factor of n and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2772 and 36?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5463102 divided by 313?\nAnswer: -17454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/15)\/(4\/130). Let d = n + -9. Let q = -8 + 5. Put q, -0.2, d in descending order.\nAnswer: -0.2, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 921539*-5\nAnswer: -4607695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.825, -2\/37, 660.\nAnswer: -0.825, -2\/37, 5, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 - 11*h + 12. Let s be z(10). Let d be (3 - 1) + 0 + s. Let q = d + 3. Solve -q + 3 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 1385 - 1015 = -138*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 274*z + 416. List the prime factors of y(7).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 106 = -3*g - 5*p, -g - 3*p = -42. Suppose -2*s + 18 = -s. Calculate the highest common factor of g and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/12 - -4)\/(28\/21). Let t = 74\/3 - 25. Put 3\/2, i, t in descending order.\nAnswer: 3\/2, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1043 and 40065.\nAnswer: 40064.8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-10) - (-1 - -4). Suppose 0 = w + w - k*m - 4, 0 = -4*w + 3*m + 8. Solve -2*p + 3 = -w*r + 1, r = -3*p - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-4)\/8) - -116?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 303855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k + 23. Determine y(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Suppose 168 = v + s*v. Let t be (-2)\/(-7) - 222\/v. Put t, -2, -3 in descending order.\nAnswer: -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.25897 weeks in microseconds?\nAnswer: 11647825056000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -s + 31, -71*s + 69*s + 14*a - 514 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:50 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 13*f + 24. Let g(p) be the first derivative of -8\/3*p**3 + 2 - 1\/2*p**f - 4*p - 5*p**2. Factor g(s).\nAnswer: -2*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 19*c + 145*c.\nAnswer: 153*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/290)\/((429\/110)\/(-13))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11262, -11523, -11780, -12033, -12282, -12527?\n\"Answer: 2*d**2 - 267*d - 10997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3\/(-6)*0. Let w = g - -2. Suppose -w*d - 3*d = -445. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 67, 87, 127, 193, 291?\n\"Answer: s**3 + s**2 - 4*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 2, j: 3, i: 6, y: 4}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2606694*l**4 - 7219803*l?\nAnswer: 31280328*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = k, 2*n - 10 = -5*k + 5. Suppose -4*p = n, 3*y - 78 = 8*p - 11*p. Calculate the remainder when 414 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 15. Let x(m) = -217*m - 16. Let y(v) = -110*v - 1. Let g(u) = x(u) - 2*y(u). Determine -3*a(p) + 4*g(p).\nAnswer: 3*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3513, 17451, 41813, 76599?\nAnswer: 121809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3 - 195826201*f - 24039562.\nAnswer: -9*f**2 - 195826201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (5 - 8 - 1 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and -73\/700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Let i = y - 5.5. Let g = -106592\/9 - -11844. Which is the closest to -2\/3? (a) i (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t**9*t)**(1\/25)\/(t**(1\/4)*t**(-1))**(-16\/5) assuming t is positive.\nAnswer: t**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 56, 140, 268, 446, 680, 976, 1340?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 64. Which is smaller: w or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 2*i**3 + 237110*i - 2 + 6*i**3 - 1 - 237076*i + 3.\nAnswer: i**3 + 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/248 and 73\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -2. Let c(h) be the third derivative of 0 + h**2 - 1\/120*h**6 + 0*h**t + 0*h**5 + 0*h - 1\/3*h**3. Find the first derivative of c(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:11 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/20*-12*(-5)\/(-3). Suppose 0 = -2*d + 3*w + 6, -y*d - 4*w - 8 = -0*d. Solve 5*i + 2*r + 22 = d, 3*i - 5*r + 11 = -4*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (38 - 70) - 19\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 11:49 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110889 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -2313?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l = -150 - 84 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 71982.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 6:10 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*i - 28. Suppose -w + 12 = i*k, -3*w + 2 - 14 = -3*k. Solve -k*p = 5*j - 10, 4*j - 4*p + 0 = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77919 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*r + 29, -128*i + 5*r = -127*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 26600000 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -16, -20, -36, -70?\n\"Answer: -i**3 + 3*i**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -40. Let t = 110 - 104. Calculate the remainder when v is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -551.241 + 551. Let c = g + 0.24101048. What is c rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1177067 + 3?\nAnswer: -1177064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l**2 - 2*l - 2. Let y be (-35)\/(-5) - ((-1 - 1) + 2). Suppose 0 = -8*i + y*i + 3*f - 4, 0 = 4*f. What is z(i)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:42 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.84328295 + -183.\nAnswer: -185.84328295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dda when three letters picked without replacement from {d: 2, w: 1, a: 1, y: 3, v: 7}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10205, -81639, -275575, -653279, -1276017, -2205055, -3501659?\nAnswer: -5227095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/((p\/(p*p**(-4\/17)*p*p))\/p))**(-1\/35))**8)**(-45) assuming p is positive.\nAnswer: p**(1008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 8*n + 30. Suppose 5*o = -12 + 42. Solve -3*h = n + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.05 and -640 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/13 + (-44)\/52. Let l = 5 - b. Solve -2*r - l = -z - 3*r, 10 = 2*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1393.28.\nAnswer: 1398.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -0.5283.\nAnswer: 10.5283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*m**6 - 2*m**4*o**2 - m**4 + m**2*o**2 - 3*m**2 + 4*m wrt m.\nAnswer: -2040*m**3 - 48*m*o**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-10)*(-1 - 24). Let a = h + -54. Find the common denominator of 7\/(-28) + 170\/a and 151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:33 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 18655753.\nAnswer: 373115060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 222691524 = 3*s, -3*h - 54452853 = -4*s + 168238692. Let o = h - -45230511. What is o rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39\/4, -14\/3, 4, -2\/3?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31612423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0353601km in meters?\nAnswer: 35.3601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112933973 is divided by 275?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -39. Let p(f) = 3*f**2 + 6*f + 24. Calculate the remainder when p(-7) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(1*4\/4000000). Round t to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 262*r**6\/3 + 95*r**2 - 526. What is the second derivative of l(i) wrt i?\nAnswer: 10480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*f - 5 + 1, -5*p + 20 = 3*f. Let d be (p\/(-1) - -24)\/2. Suppose 0 = -3*n + d*n - 161. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) -4 (b) 0 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14044 (base 5) to base 10\nAnswer: -1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 3. Let b be r(5). Solve b*j + 1 + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87851274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*h - 80*h = 15. Sort -2, 2, h in decreasing order.\nAnswer: 2, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 9*y + 6*y = -10, 2*y = 3*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (23 - 4) + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.28954 take away 18?\nAnswer: -28.28954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 take away 38142319?\nAnswer: -38142363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + 20010?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14414, 14466, 14554, 14678, 14838, 15034?\nAnswer: 15266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*s + 39, s - 3*t + 2 - 5 = 0. Let z be (s*1)\/(4\/(-2)). What is z rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3481740 and 2089044.\nAnswer: 10445220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-4))*i\/i**(5\/4)*(i**(-1\/4)\/i)**(-38))**(-1\/9) assuming i is positive.\nAnswer: i**(-205\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9398 divided by -127?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeew when four letters picked without replacement from wewweeww?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -236*p - 13718. What is s(-35)?\nAnswer: -5458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -5*(sqrt(832) + 3 + sqrt(832) + 2 + sqrt(832) + -3 + -2*sqrt(832) + sqrt(832) + 4 + 3))**2.\nAnswer: 7840*sqrt(13) + 85604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 423 and 3.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5528308?\nAnswer: 2, 61, 139, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 5*w - 5. Let c(j) = -3*j**2 - 6*j + 6. Let t(u) = -5*c(u) - 6*i(u). Let z(a) = -13*a. Calculate t(z(n)).\nAnswer: -507*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1339443 and 6.\nAnswer: 2678886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/102 - 1\/34. Suppose -2*t = -t + 2, 4*t + 29 = -k. Let x be 3\/k + 0\/2. Which is the second smallest value? (a) x (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -143*g. Let j(d) be the second derivative of d**4\/6 + 60*d. What is k(j(y))?\nAnswer: -286*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 11*g**2 + 13*g - 11. Let k(r) = 10*r. Let p be k(1). Is t(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w + 2*w)*(-1 + 1 + w**2) + 276 - 276 - 43*w**3.\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166719 is divided by 8325.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p**(-13\/5) assuming p is positive.\nAnswer: p**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/((-300)\/1020830) - (-2)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53337745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 144 (c) -16 (d) 1 (e) 11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 + 8*n - 5. Let a(z) = 6 - 4*z**2 + 9*z**2 + 1690773*z**3 - 1690772*z**3 - 9*z. Calculate -4*a(f) - 5*h(f).\nAnswer: f**3 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6*-6*6\/(-9). Let x be (5 - r - -206)*(-3 - -4). Suppose 221 = 2*w + 3*s, -x = -0*w - 2*w + s. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -181, -403, -713?\n\"Answer: -44*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3957 greater than or equal to 328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/96)\/((-210)\/40)*168\/780.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2080*u**2 + 2083*u**2 - 4164*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*x**4*z**2 - 10*x**3*z**3 - x**2*z**2 - z**3 + 7 wrt x.\nAnswer: 1920*x*z**2 - 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -429541+12\nAnswer: -429529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12895646?\nAnswer: 2, 367, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b - 33?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/25 - (-24)\/10. Let r be ((-24)\/(-204) - 46\/102)*0. Solve r*q + 4 = -z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.1, -1, -13, -5\/18 in ascending order.\nAnswer: -13, -1, -5\/18, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 9 = -3*r, 4*w + 2*r + 34 = 0. Let p be 8*(0 + (-75)\/w). Suppose -10 = 5*u - p. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6) - 0)\/((-52)\/104). What is b in 2\/3*b - c + 2\/3*b**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 10*d - 41. Give q(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*b - 1037*b + 4201*b - 1058*b - 1053*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47\/2 + 37. Let s(i) = -6*i - 26. Let q be s(-6). Let j(y) = y**3 - 7*y**2 - 34*y + 55. Let u be j(q). Is u > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 26. Let u be ((-2)\/(-3))\/(o\/(-3)). What is the second biggest value in -3, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 + -2b?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 84, -3684, -1, -10, -4.\nAnswer: -3684, -10, -4, -1, 3, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*x, -5*t = 3*x - 7*x - 29. Suppose 5*k = -20, 0 = t*b - 2*k + 10 - 38. Solve -b*v - 3*a - 3 - 17 = 0, -5*v + 2 = -3*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - f - 379 = 0, -31 - 91 = -s - 4*f. Let v(p) = p**2 + 19*p. Let y be v(-13). Let n = s + y. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -26*f + 70. Let s(b) = 2*b - 12. Calculate 24*s(t) + 4*z(t).\nAnswer: -56*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -2, -3 in decreasing order.\nAnswer: -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140202493 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 45*j**2 + 11. Let g(l) = 6*l**2 - 1. Let q(t) = d(t) - 8*g(t). Let z(u) = 13*u**2. Give z(q(v)).\nAnswer: 117*v**4 - 1482*v**2 + 4693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43667572 to the power of 1\/2, to the nearest integer?\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**4 - 18719*f**3 + 7902*f**2 - 4*f wrt f?\nAnswer: -120*f - 112314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298874?\nAnswer: 2, 29, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38531*g**3 + 733 - 38492*g**3 - 733.\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)\/(1\/36). Let l(k) = -3*k**2 - 137*k - 442. Let q be l(-41). Calculate the greatest common factor of q and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5 = 4*v, 3*v = 5*a + v + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-21) - 9\/21. Suppose 2*z + 11 + 5 = 3*o, -2*o + 17 = 5*z. Let s(y) = y**3 - 7*y**2 + 7*y - 7. Let x be s(o). Put x, g, 2\/13 in decreasing order.\nAnswer: 2\/13, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11461 - 11459. Factor 2\/11*b**k + 4\/11*b - 6\/11.\nAnswer: 2*(b - 1)*(b + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 547113984*t**2 + 545113516*t.\nAnswer: 1094227968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*t - 6 = 2*t, -5*v = -2*t. Suppose -z - 3 = -a, -v*a + 2*z - 1 = -a. Calculate the smallest common multiple of 5 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2099252 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62859 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v = 5*v. Suppose -s + 43 + 27 = v. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-5 - -1) + (579509 - -92) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-111))\/(3\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/4))**(2\/45))**(-5\/11)*(n**2\/n**7)\/(n**(-1\/6)\/(n*n**(3\/4))) assuming n is positive.\nAnswer: n**(-409\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -574, -402, -230, -58?\n\"Answer: 172*g - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 28*a**2 - 16046*a - 464491. What is z(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = -0*j - 2*l, -3*j + l = -16. What is the second derivative of 3*i + 58*i**4 - j*i**4 - 5*i - 15*i**4 wrt i?\nAnswer: 468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 828 divide 31073184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1310 (base 4) to base 2\nAnswer: -1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 110*a - 25 = -54*a - 5*k, -11*a = k - 56 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 2*t**7\/105 + t**6\/15 + t**5\/15 - 7*t**2. Solve x(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -657*h + 108. Let y(g) = 656*g - 90. Determine 5*n(x) + 6*y(x).\nAnswer: 651*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 352 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*h = 3*v + 381, -5*h + 15 = 0. Let l = -33 - v. What is the greatest common divisor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7757*m + 12 + 8134*m)*(m**4 + 3*m - 3*m).\nAnswer: 377*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 21*v**2 - 34*v - 3. Let c be s(-22). Find the second derivative of -1 - 26*j**5 - 261*j**2 + 3*j**3 + 45*j + c*j**2 wrt j.\nAnswer: -520*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018448 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 2 - 2)*(-4 + 3 - 3) - 124069*g**2 - 51*g + 124042*g**2 - 74*g.\nAnswer: -35*g**2 - 125*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 908538.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose 5*r = -z - 4*z + 205, -2*z + r + 79 = 0. Calculate the greatest common divisor of t and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010222 to 4 dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -932*a**4 - 381*a**3 + 226525*a**2 - 1 wrt a?\nAnswer: -22368*a - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) - ((1 + sqrt(1216))*4 - sqrt(1216))))*1 + 5*-2*sqrt(1216) + 1)**2.\nAnswer: -560*sqrt(19) + 59609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k**2. Let m(z) be the third derivative of -z**4\/12 + 4*z**2 - 43*z. Give f(m(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23312 + 212?\nAnswer: 24024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:41 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5756 = 3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 198 = -4*o, -53 = -o - 2*m. Let f = 313 + -287. Calculate the remainder when o is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 24 = 10*g. Suppose 337 = 5*p + 2*q - q, 5*p - 2*q - 346 = 0. Suppose -g*o = -p - 160. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*v - 449*v - 588 = -274*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.3 (c) -1\/9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2106\/((-598)\/23)*-2*-2*(-3)\/(-12).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 38*r**2 - 77*r**2 - 280*r**2 - r.\nAnswer: -319*r**2 - r - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002670869 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = -51*k + 1191 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 897400.\nAnswer: 3589600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7885, 8262, 8649, 9052, 9477, 9930, 10417?\nAnswer: 10944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - g + 0*g)*(8 + 6 + 6) to f + n*g and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 0 = 7. Let q be 3 + -1 + (h - -2). Suppose -q*o = -2*v + 32, -4*o = 4*v - 0*v - 24. Solve x + v = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -1, 2*w + 2*w = -4*r - 292. Suppose 0 = -4*d - 2*q - 176, -d = -q + 44 - 6. Let i = d - w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3533332 (base 9) to base 13.\nAnswer: 51c1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.32 + -1.6. Let h = a + -0.64. Let y = h + 0.42. Put -3, y, -5 in ascending order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g - 3. Suppose 1 = -4*l - 2*y + 43, 2*y = 3*l - 35. Let u = 7 - l. Let h be z(u). Solve h*c - 37 = -12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - 6)*2\/(-6). Let u be (-15 - 0)\/z - 146. Let m = u - -258. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 25. Suppose 0 = -i*k + 9*k - 56. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.56636 times 7\nAnswer: -3.96452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 21 + 1\/19*21.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 22*q**2 + 15*q - 16. Let s be i(1). Solve -5*o + s - 21 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-1)\/6*-22. Let b = k + -20. Suppose -y = -z + 36, -2*z + 3 = b*y - 49. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219846588 divided by -8455638.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -889 + 886. Let n = 4 - 2. Let m(z) = z**3 - 3*z**2 + 4*z**2 + 3*z**n + 2*z. Give m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/127512 and 71\/2233392.\nAnswer: 73701936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - 1*sqrt(128)*-4)**2*4.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 885547 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 1, v: 3, q: 1, x: 4}. Give prob of picking 1 n and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*c + 8 = 38, 19 = 3*t - 5*c. List the prime factors of (-139)\/(54\/t - 7).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1) + (-2)\/6. Let i = -338.9 - -339. Is u at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 2 = -20*h. Suppose -2*t + 2 = r, 7*r + h*t - 8 = 3*r. Suppose -6172 = -r*y - 2*y + 4*z, 4*z + 1552 = y. Round y to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8*i = 4*i - 20, 5*x + 2*i = -52. Suppose -10*r = -86 - 274. Let q be (-186)\/r + (-2)\/x. Let h(p) = -p**2 - 4*p + 3. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2491177.04 to the nearest one thousand.\nAnswer: -2491000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/210 + r**4\/28 - 2*r**3\/21 + 3*r**2. Factor a(b).\nAnswer: -2*(b - 2)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017034605 to seven dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/3, -0.2, -3, -2, 48, 34, -0.008?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:58 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210682576*d**5*m + 2286*d**2*m + 715*d**2 - d*m - m wrt d.\nAnswer: 12640954560*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 3. Let q be g(-3). Let z be (-16)\/q*6\/4. Solve -3*b + 10 = -4*p, -2 = 2*p + z*b - 7*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 at most as big as 288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21156 + -1?\nAnswer: -21160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 12:15 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-83)\/11454)\/(14\/(-161))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. What is the third smallest value in y, -1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3111213 (base 5) to base 8\nAnswer: -143170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5342*l - 670*l - 1685*l - 1460*l.\nAnswer: 1527*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -820 - -1423. What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and 170.29232402.\nAnswer: 169.69232402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u + 16 = 128*u + r, 3*u = 5*r + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/22 + 8*a**3\/33 - a**2\/11 - 8*a\/11 + 3. Find u, given that r(u) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-3)\/(sqrt(32)*-2).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*j + 120*j - 226*j + 160 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 42. Let v be w(-10). Solve 22 - v = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1751544 divided by 972\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.647 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9 = 3*s, 4*z + s - 3 = 0. Suppose -7*r + 57 + 27 = z. What is the remainder when 129 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.72 + -42.4. Which is smaller: 6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = s - 3*s - f, 284 = 5*s - f. Let c be (-1)\/(2*(-2)\/(-68)). Let u = 25 + c. Calculate the greatest common factor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5\/5 - 476*w**4\/5 - 1992*w**3\/5 + 13616*w**2\/5 - 15488*w\/5 = 0.\nAnswer: -8, 0, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 3)*(-6*c**2 + 3*c**2 + 0*c**2).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -48970.\nAnswer: -1\/9794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24761341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Let x(g) = -5*g - 1. Let z be x(-1). What is the greatest common factor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467 times 145.4?\nAnswer: -358701.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, a: 3, w: 2}. Give prob of picking 2 r and 1 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*l - 1987 = 4*w, 0 = -w - 5*l + 634. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (11 + -12)) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*-1 - sqrt(11) - sqrt(11)) + 5)**2 + sqrt(33)\/sqrt(3) + sqrt(11) + 2.\nAnswer: -28*sqrt(11) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 16996 + 55904. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 1, x: 1, h: 1, d: 1, u: 1}. Give prob of sequence haad.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/(1\/(-6)). Let l = 726 - 394. Suppose l = 4*n + 4*c, -c - 8 = -i*c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9468)\/3945 + (-1118)\/(-120) + 10\/12.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5744 and 93340.\nAnswer: 373360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 113.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(10 - 2) - -2*3. Let k = -20 - -33. What is the derivative of -7*f**b + k*f**3 + 7 + f**3 wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16561?\nAnswer: 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/2645 - 4829767\/7935. Let j = -631 - c. Find the common denominator of j and 44\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v + 5. Let p be z(-5). Suppose 4*b + 3*j + 4 - 59 = p, -b = 2*j - 20. What is the remainder when 59 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43042625 is divided by 623806?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -3323304?\nAnswer: -1661652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24809 and -0.9?\nAnswer: -22328.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x + 2*x + x + 4*x + 108 + 136 as r*x + n and give n.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((16\/(-12))\/((-2)\/3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.09 + -0.91. Suppose 0*m - 5*m + 50 = 0. Let v be (2\/14)\/(m\/(-50)). Sort 3, j, 2\/19, v in descending order.\nAnswer: 3, 2\/19, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttfctfctttt. Give prob of picking 2 f and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1664, 3321, 4978, 6635?\nAnswer: 8292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2474 - -37078\/15. Let u = 47142 - 14001401\/297. Let w = 8\/11 + u. Find the common denominator of k and w.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245981339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 23*w**2 + 2*w - 58. Calculate p(-23).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3364007511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12*q - 1272 = -7*q, 2*x = 3*q - 2492. Sort 2, x, -4 in ascending order.\nAnswer: x, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*j + 256*j. What is the closest to 2 in j, -1\/3, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - v**2 + 26*v - 66*v + 22*v + 18*v.\nAnswer: -v**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 44*j + 255300 = 0. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1127192 smaller than -1127193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063 (base 7) in base 3?\nAnswer: -1221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/10 + (-6)\/(-15). Let f = u - 0. Is 6 a factor of f\/(-8) - (-25)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 214, 4, 0.5, 1\/7, -4?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 + 1 = 0, 5*a + 523 = 3*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/9000 and -113\/900.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466 and 29979178.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/((-13)\/52)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 2\/4*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -4\/3*p**3 - 3136*p + 112*p**2 + 147. Factor j(k).\nAnswer: -4*(k - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + 1 + -2 + (6 - (8 + -5)). What is the highest common factor of 90 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-2)*(-56)\/42. Suppose 0 = 4*o + 2*j - r, 0 = -4*o - j + 3*j + 2. Calculate the greatest common factor of o and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4830546 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**2*s**3 + o**2*w**2 + 3*o*s**4*w**2 - 1035*o*s**2*w + 2*o*w**2 - 8*s**4 wrt s.\nAnswer: -24*o**2 + 72*o*s*w**2 - 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8164 + -24491\/3. What is the smallest value in -1, -5, -0.943, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.4268 - 64.9268. Suppose l - 12 = 3. Let o be 1 + -1 + (-6)\/l. Sort o, 1, m, -1.6.\nAnswer: -1.6, o, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from {q: 3, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let q(n) be the first derivative of -4 + 1 + 6 + 12*n**3. Give q(g(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*l - 2. Solve l*n + 11 + 9 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 2*z**3 + 2*z**3)*(107*z**2 - 36*z**2 - 693*z**2).\nAnswer: 622*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1499788372 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:58 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 5*o, 5*o + 2*n = -n + 10. Suppose -o = -2*u + 2*d + 4, -3*d = -3. Find x, given that -x**3 + 2*x**4 + 5*x**3 - 2*x**u - 4*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + j**4 - 3*j**3 - 2*j**3 + 5*j**3 + 1 - j**2 to the form a*j**4 + f + z*j**2 + d*j**3 + m*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -78, -14, -312, 5, 0.2, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 8:32 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27518.41 years to decades.\nAnswer: 2751.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 19*o**2 + 87*o + 8. What is the least common multiple of 1024 and p(12)?\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187 by 10274.\nAnswer: -17\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 18*n - 9916. What is i(43)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 24540.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -2610, -3921, -5236, -6555?\nAnswer: -7878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 0.1, -175.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:40 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - 95 - (-23 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1122827 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -41. Differentiate -37 + 20 + 41*w**3 - 7*w + i*w + 0*w wrt w.\nAnswer: 123*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a. Let q = 7 + a. Let o(k) = k**3 - 8*k**2 + 7*k + 3. What is the units digit of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56518 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 11. Let v be x(10). Let t(k) = -3*k - 105 + 105 - 7*k**2 + 2*k. What is t(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*q = -116*q - 36. Solve -7*a - q = -6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 2*k - 2*k)*(10682*k + 3 + 2 - 5 - 7729*k) to the form d*k + p + z*k**2 and give z.\nAnswer: -2953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -2*(sqrt(125) + 0))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7*k**2 + k - 7. Let x be z(7). Suppose -5*w = 4*m - 124, 5*w + 16 + 4 = 0. Suppose x*i - m = -4*i. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.72 * 0.09.\nAnswer: 0.9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -b - 2*b - 4, -5*b - 3*x = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2265059 or 0?\nAnswer: -8\/2265059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20915775, 20915770, 20915765, 20915760?\n\"Answer: -5*f + 20915780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -23*1*(-2 - -1). Let b(g) = 8*g - 34. Let x be b(2). Let h = x + p. Is 6 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -873766.94 to the nearest 1000.\nAnswer: -874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w + 72 = 0. Find the common denominator of (93\/(-8))\/(18\/w) and 79\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 353*y + 130*y + 54*y + 665 + 296*y + 40*y wrt y.\nAnswer: 873","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 386 and 5983?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:37 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 243*q + 793. Let u be a(-3). Calculate the highest common divisor of u and 13536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let h = 11 - 6. Is 81\/h - f\/10 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.1504804 milliseconds to weeks.\nAnswer: 0.000000127563625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 23*z + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20006 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -16109085*q**2. Let x(y) = -2*y**2. Give x(m(h)).\nAnswer: -519005239074450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {f: 6, j: 7, v: 3, n: 3}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 39. Suppose 0 = -c - 4 + h. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f - 113. Suppose 0 = -14*y - 47 - 51. What is the least common multiple of 4 and s(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9522, -16507, -20956, -22869?\nAnswer: -22246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20142 + 27?\nAnswer: 20169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15107 (base 9) to base 6.\nAnswer: -115354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2581*q**3 - 3653*q**3 - 10069*q**3 - 449*q**3.\nAnswer: -11590*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from lsbisz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 776 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2062822 and 9?\nAnswer: 2062831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:27 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 13*h**3 - 30*h**2 - 41*h - 23. Let x(i) = -9*i**3 + 20*i**2 + 28*i + 15. Let t(s) = 5*c(s) + 7*x(s). Give t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/4)\/(f\/(f\/(f**(-28)\/f)))*(f\/f**(-45))**(2\/115) assuming f is positive.\nAnswer: f**(581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 8, -5*c - 10*j - 21 = -8*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6426454 (base 7) in base 12?\nAnswer: 317621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2474 and 7298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*j + 0*j = 5, 3*k - 3 = 3*j. Let f = k - -2\/3. Is 3 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 8*c**2 - 10*c + 6. Calculate s(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 8. Let k be t(6). Suppose 0 = k*v - 5*x - 46, 4 - 64 = -5*v + 5*x. Calculate the smallest common multiple of 74 and v.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 271*n + 15728. What is a(186)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 852 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 2*c**3 + 13*c**3 + 11*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2506643 or -22559776\/9?\nAnswer: -22559776\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23 - -12) + (-12)\/9*6. Let u(s) = s**3 - 28*s**2 + 28*s - 20. What is u(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.184 to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52506071 to the power of 1\/2, to the nearest integer?\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 1, z: 7}. Give prob of picking 2 z.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 6 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 10. Find the first derivative of -14 - 15*z - s*z + 0 wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -82. Let s(l) = -2*l + 3. Let q be s(2). Let o be (-5 - 3)\/(q + -1). What is the highest common divisor of o and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v**2 + 36*v - 34. Let f be w(6). Solve 3*d = 3*q + 3, 2*q = d - f*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12782190 and -0.19.\nAnswer: 2428616.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**3 + 5*x**3 + x**3)*(2*x - 3*x - x).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4 = 9*y. Let h = 1080 - 12847\/12. What is the common denominator of h and (725\/(-800))\/(1\/y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/38816 and -69\/44?\nAnswer: 426976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5846753?\nAnswer: 11, 43, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 9361025, -12 in increasing order.\nAnswer: -12, -5, -1, 9361025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1729 - 65*p**2 - 640*p + 23871 + 69*p**2.\nAnswer: 4*(p - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 + 236. Let q = 89 + 37. Let s = q - l. Is -25 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2784 = 139*p - 30*p - 22*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-56)\/42*(-1)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328280784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -4. Let n = 14 - o. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74.73755 + 0.\nAnswer: 74.73755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 702 = 13*g + 18*g. Solve -x = g - 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22948712*v**3 + 2*v**2 - 6557049 wrt v.\nAnswer: -137692272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*j = 39, 7*i - 2*i - j - 34 = 0. What is the third derivative of -53*z**3 + i*z + 31*z**2 - 13*z**2 - 6*z + 23*z**2 + 182*z**3 wrt z?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 8. Let c be l(12). Suppose 2*z - 506 = -2*o - 2*z, -2*z = c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48191a - 0?\nAnswer: 48191a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687 + 10*x**2 - 694 - 35*x**2.\nAnswer: -25*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33618827.637 + -33588017. Let x = d + -30797. Let l = x - -0.063. What is l rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 6, 1\/20, -2, -4, -0.1 in descending order.\nAnswer: 6, 1\/20, -0.1, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (1 - -1) + 12 + -12. Solve g + z = -4*s, -1 = 3*s - 3*g - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/533 + 6933\/2132. Let v = 3855\/202 + -2479501\/1818. Let g = 1349 + v. Find the common denominator of g and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 + 4. Let t(f) = -f**3 + 17*f**2 + 16*f + 54. What is the remainder when t(18) is divided by g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + (-262)\/14. Let n = -11 - d. Suppose 4*g - 13*g + 252 = 0. What is the remainder when g is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -7025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 4*v + v)*(0*v + 0*v - 2*v) - v**2 + 0*v**2 + 0*v**2 + 4*v - 4*v + 2*v**2 - 60*v**2 + 2799*v - 2799*v as c*v + g + i*v**2 and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 935577 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1581 and 10695.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49205.097817 - -0.097817. Let x = 49205.029997 + k. Let w = -0.03 + x. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3964944 and 11118.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7124.123 plus -4?\nAnswer: 7120.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:58 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2930, 5862, 8794, 11726, 14658, 17590?\nAnswer: 20522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 4) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwwwwvwccplpwpwl. Give prob of sequence cvlw.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -5*g**5\/6 - g**4\/24 - 5*g**3\/2 + 6*g**2 + 1. What is the second derivative of v(o) wrt o?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 0, a - 5*c + 36 = 23 + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -18. Let j = h - 12. Let s = j + 4. What is the closest to 0.1 in 1\/5, s, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2404436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45329 or 38649?\nAnswer: 38649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344.6477 rounded to the nearest ten?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -73, 5, 114 in decreasing order.\nAnswer: 114, 5, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4366\/21 + -208. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.006622 rounded to 1 decimal place?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 4. Let n be j(-5). Suppose -4*h - 368 = -4*y + 40, -y + 120 = 5*h. What is the greatest common divisor of n and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1604 and 1856630?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:26 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 358513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - -1*(-3 - (12 + -6)). Let j(r) = -r**2 + 7*r - 5. Let y be j(6). Put y, 2, -2, m in decreasing order.\nAnswer: 2, y, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9 and (-2736)\/594 + (-2)\/(-6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:04 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001001010010001 (base 2) in base 7?\nAnswer: 1466026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Suppose w*j + 65 = 5*t - 1, 2*j = 4*t - 54. Calculate the highest common divisor of 105 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 2 - 2 + (1 - 2*n - 1)*(1 - 3 + 4))*(-3590 + 2743 + 2792) to the form z*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 397, 398, 401, 406, 413?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1412.29 - -1411.89. Let x = -7 + 8. What is the second smallest value in f, x, 1\/5, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.105 times 0.1524?\nAnswer: 7.178802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-8 + (28 - 4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*o**3 + k**3*o + 4*k**2*o**3 + 58*k*o**3 - k*o - o**3 wrt k.\nAnswer: -12*k*o**3 + 6*k*o + 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8 - 8*d - 3 + 3 - 4. Let j be c(-3). Which is smaller: 14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -4*n. Suppose -166 = -n*w + 1339. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100100 - -101100101011?\nAnswer: 11110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, 10 in descending order.\nAnswer: 10, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(55)*3)\/sqrt(11))**2 + sqrt(35)\/(sqrt(7) + sqrt(28)) + -1.\nAnswer: sqrt(5)\/3 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4 = 3*t, -188*h + 33 = -197*h + 6*t - 2*t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 256802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 791\/45 - 89\/5. Suppose m = -0 + 3. Which is the closest to z? (a) 2\/9 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:45 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*c = -222 + 220, -2 = -4*h - 3*c. Let s(p) = 8*p**3 - 4*p**2 + 4*p - 3. Calculate s(h).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1437, 4829, 10547, 18591, 28961, 41657, 56679?\n\"Answer: 1163*w**2 - 97*w + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, 53, -2\/3, -0.5, 31.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.012 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from wzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from lnnilar?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-46)*t**(2\/5)*t**(2\/37) assuming t is positive.\nAnswer: t**(-8426\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 19*f**2 - 44*f - 41. Let i be l(-21). What is the closest to i in -0.2, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 7, 1\/6, 2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s + 1. What is d(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20505390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Suppose 3*g - 118 = 2*s, -3*g - 4*s = s - 125. Suppose g = 3*m + 2*m. What is the remainder when m is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1825)\/((-77)\/(-14) - 8) is divided by 95.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499 - 13471\/27. Suppose -5*j = q - 8 + 1, -5*j = 5*q - 15. What is the nearest to j in 0, -4\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 27*w**2 - 69*w + 46. What is the units digit of a(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065812.\nAnswer: 2, 11, 24223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 666\/(-84))\/(2\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92088*3.\nAnswer: -276264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from axfrfllwfwaa?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6861 - 6861. Let u(w) be the second derivative of -5\/2*w**2 + 19*w - 1\/6*w**6 + w**5 + 10\/3*w**3 + v - 5\/2*w**4. Solve u(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aorbb. Give prob of sequence oba.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 700.62 - 1494667.\nAnswer: -1493966.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + -272. Let s(x) = x**3 + 5*x**2 + 5*x + 5. Let y(p) = 6*p**3 + 36*p**2 + 36*p + 36. Determine w*y(t) + 36*s(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**8\/30240 + r**7\/11340 + r**6\/1620 - r**4\/12 - 3*r. Let i(m) be the third derivative of c(m). What is a in i(a) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10897 = 68*y - 71*y, y + 5 = 0. Is 62 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 873 - (0 - (3 + -1)). Suppose 6*p - 4*w = 3*p + q, -p = 5*w - 298. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 662197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -414?\nAnswer: 37\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 35 = -21*n + 25*n, -2*n - 42 = -6*f - n for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 34562*x**2\/3 + 94910*x\/3 + 12000 = 0. Calculate x.\nAnswer: -3600\/1571, -5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13837189 or -13837182?\nAnswer: -13837182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 280*r**2 + 34*r + 1099. Let g(m) = -m**3 + 70*m**2 - 8*m - 275. Let z(l) = -25*g(l) - 6*j(l). Give z(70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2, -6, -123796 in descending order.\nAnswer: 2, -2\/13, -6, -123796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + j - 24 = -2*j, 28 = 3*n - 5*j. Let k(b) = -b**3 + 7*b**2 - 5*b. Let c be k(n). Let y = 11 - c. Solve -1 = -y*i + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13128 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70034917 is divided by 7781656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32228*t**2*x + 3426*t**2 - 2*t*x + t + 63186622*x - 9 wrt t.\nAnswer: 64456*t*x + 6852*t - 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*i + 3*u, 4*i + 0*i + 2*u - 50 = 0. Solve 0 = -o - 5*x - 3, -3*o + 4*x + x = -i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/9 - 789*t**2 + 1867563*t + 1436. Factor m(p).\nAnswer: (p - 2367)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14031.3531 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 - 26?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j*j)\/j**(-7)*j**(-1)\/(j*j\/(j**(-3\/5)\/j)) assuming j is positive.\nAnswer: j**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51990*x**4 - 66532 with respect to x.\nAnswer: 207960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -23*s**2 - 9*s + 8. Let q(j) = 8*j**2 + 3*j - 3. Let m(w) = -6*a(w) - 17*q(w). Let b(i) = 2*i**2 + 3*i + 4. Give 4*b(p) - 5*m(p).\nAnswer: -2*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3033 - 2910. What is the remainder when 1326 is divided by h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3226, 3\/2, -3, -5 in increasing order.\nAnswer: -5, -3, 3\/2, 3226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, 3, 300 in ascending order.\nAnswer: 0, 3, 4, 5, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*i**3 + 36044*i**2 - 744338?\nAnswer: -42*i**2 + 72088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 140*s + 46*s**2 - 7 - 58*s**2 to the form r*s**2 + a + j*s and give j.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10518518 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-5)\/45)\/(-1)*20\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800 divided by -56?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19208 and 4?\nAnswer: 76832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2391.5 + 2392. Let h be (7 - 6)*1\/50. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -6, -1, 6, 15, 26, 39?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011 + 101?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 78*y + 4705. What is k(-118)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13a3 (base 11) to base 9\nAnswer: -2427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-162)\/12 + 4)*-38. Suppose -y*m - 39522 = -382*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - y = 4*o + 12, 4*y - 5*o = 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1820, -3466, -5112, -6758?\n\"Answer: -1646*h - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 18. Suppose 4*n + a = -4*p, -4*n + 1 = -p + 5. Let o be (n\/(-4 - (1 + -4)))\/(-1). Is o bigger than -1\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -0.06\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110101 + 2?\nAnswer: 110103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*0\/5. Suppose m = -40*u + 35*u + 12395. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqjqbjebqqqqaeeuq. Give prob of picking 1 a and 1 e.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.23 + -2.22996788. What is k rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 26. Let f(u) = -u**2 - 18*u - 13. Let r be f(-18). Let q be l(r). Suppose q = -2*k + 25 - 9. What is the least common multiple of 11 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/8)*(i\/i**(-1\/9)*i)\/i*i**(-1\/5)\/(i**0*i) assuming i is positive.\nAnswer: i**(-77\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 634*v**3 + v**2 - 2*v + 2. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9775 divided by -2253?\nAnswer: -9775\/2253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 906, 1332, 1758, 2184, 2610?\nAnswer: 3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 28, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -4981.\nAnswer: -9\/4981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-570)\/1220 + (-2)\/(-4). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 23419899*a - 182830556390067\/2.\nAnswer: -3*(a - 7806633)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -40700\/17509?\nAnswer: -40700\/17509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5436.77937 less than -752?\nAnswer: -6188.77937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 times -6195?\nAnswer: -2688630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2. Let i(x) = 183*x**2. What is i(f(s))?\nAnswer: 4575*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*p - 55*p**4 - 2*p**4 - 62*p**4 + 2 - 4*p**2 + 14*p**4 + 2*p**2 wrt p?\nAnswer: -1260*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415\/3 + -1717\/12. Which is bigger: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnddtjjatojjt. Give prob of picking 1 a and 1 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.36 - -13.4. Put 2\/13, 2, -4, n in descending order.\nAnswer: 2, 2\/13, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -65*j - 10*j**2 + 30 - j**3 + 19*j + 5*j + 24*j. Let v be q(-7). Solve 2 = -i + f + 3*f, -v*i = -3*f + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -673 + 1345\/2. Let g = -4 - -6. Which is the closest to -1\/2? (a) 1 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t - 3*c, -4*t - 4*c = -3*t + 2. Let g(r) = -r**2 - 2. Let y = -2 + 3. Let i(s) = y + s - s + s**2 - s. What is t*i(x) - g(x)?\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11. Solve -15 = 3*m + m + 5*d, 5*m - d - 3 = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-3 - 0) - (-20048)\/(-2506)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:37 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c**2 + 0*c)*(-2 - 4 + 5) - 5 + 5 + c**2 - 9*c**2 + 4*c**2 + 0*c**2 in the form l + v*c + i*c**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o + 6. Let h(f) = -f**2 - 7*f - 2. Let z be h(-5). Let c(n) = -6*n + 4. Let j(x) = z*c(x) - 5*p(x). Differentiate j(b) with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -61. Solve 4*m - 15 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 + 325. Suppose z*a + 230 = 1943. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 23 + -1 + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 30, 46, 64, 84?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.439623 to three dps.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 180 = -55*x. Suppose x*d = 38*d + 17200. What is d rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646.\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1938785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1755 (base 11) to base 6\nAnswer: 14210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2212 + 1068 = 587*f + 122*f + 111*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*c - 16*c + 11*c + (-1 + 2 - 2)*(3 - 2*c - 3) + (1473 - 1473 - 272*c)*(-1 + 0 + 2).\nAnswer: -296*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/615 and 37\/861.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 41 + -27 + (35 - 12).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109589382 divided by -2646\nAnswer: -41417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(110)\/(sqrt(33)\/sqrt(3)))\/sqrt(2))*2)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 284*s**5\/5 + 961*s**4\/12 - s**3\/3 - 1308*s. What is the third derivative of a(o) wrt o?\nAnswer: 6816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 1637360388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 25 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6645 divided by -5?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a. Let l = -936 + 940. Let f(h) = 3*h**2 + 14*h + 2. Calculate l*o(m) - f(m).\nAnswer: m**2 - 10*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u**2 - u**3 - 13*u - u**3 - 2 + 5 - 1. Let m(w) = -w**3 - 6*w**2 - 6*w + 1. Calculate -6*b(p) + 13*m(p).\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 376406 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**4 - f**3 - f**2 + 1. Let c(o) = 12*o**5 - 146*o**4 + 50*o**3 + 2*o**2 - 2. Let y(i) = c(i) + 2*x(i). Factor y(u).\nAnswer: 4*u**3*(u - 12)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/10 - -47\/70. Suppose 32*d = -7*d. Is o at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i\/(i**(2\/19)\/i))\/i)\/i)*i\/(i\/(i*i\/(i**(-1\/4)\/i)*i))*(((i\/i**(4\/7))\/i)\/i*i*i)\/(i\/i**(-7)))\/(i**5*i*i**(5\/3))**(-46) assuming i is positive.\nAnswer: i**(557723\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271198 is divided by 54219.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 100.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14869, -14945, -15021, -15097?\n\"Answer: -76*d - 14793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5411.1 + 5271. Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1072461 + 1915293. What is the units digit of w\/2926 - (0 - 2\/(-19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 + 55*g**3 + 0*g**3)*(0*g - 2*g + 0*g).\nAnswer: -104*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-20) - 0 - 6\/(-4). Let x(f) = -f**2 + 4*f + 3. Give x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*g - 595*g - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4167 - -4168. Put 4, z, 553 in ascending order.\nAnswer: z, 4, 553","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 80 + (-3 - 1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -21*t**3 - 13*t**2 - 101*t - 34. What is the remainder when k(-7) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9.132. Let c = 17.16 + g. Let v = c + -17. Round v to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 30*k - 379504. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/799 and -13\/6.\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.09, 2, 2\/17.\nAnswer: -0.09, 2\/17, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1469 and 1565224.\nAnswer: 1566693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 - (-1 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/409, 1\/6, -8, 11\/2, -112?\nAnswer: -18\/409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/120 + 23*q**5\/60 + 55*q**4\/24 + 31*q**3\/6 - 4*q**2 - 12*q. What is the units digit of n(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834536 is divided by 379.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 10 + 8. Let q(j) = -j**3 + 5*j**2 - 2*j - 9. Let v(k) = -k**3 + 4*k**2 - 3*k - 9. Let z(c) = m*v(c) - 4*q(c). Calculate z(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5 - 2*u - 4 + 1. Let z(v) = -v + 1. Let q(t) = t**2 - 5*t - 17. Let f be q(7). Determine f*z(n) + 2*b(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Let y = r + -0.5. Suppose 0 = 6*l + 6 - 0. Which is the nearest to 1\/4? (a) y (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180044 = 1081*a + 667*a for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5614885 divided by -5.\nAnswer: 1122977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + m**3 + 2*m**2 - 6*m + 3 + 0. Let g be -1 + (-2)\/1 - 0. Determine v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrtgrrg. Give prob of sequence tgtg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, x: 4}. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.82, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1570*y - 3101*y - 1886*y as x + b*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdud when four letters picked without replacement from {f: 1, n: 4, d: 2, u: 7}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10870 - -18232. Is 202 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 + f**2 - f + 1. Let y be (4\/6)\/((-10)\/(-15)). Let i be u(y). Suppose -i*d + 26 = 5*g - 8*g, 3*d = -4*g + 4. Put d, 2, -5 in ascending order.\nAnswer: -5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884*v**3 - v + 14*v**2 - 14*v**2 - 5.\nAnswer: -884*v**3 - v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + n**2 + 9 - 5*n**2 + 0*n**2 + 2*n**2 + 0*n**2 + (-2*n + 0*n - 2*n)*(2*n + 4*n - 2*n).\nAnswer: -18*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-8)\/64).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/5290 and -43\/2116?\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58391\/18 - 3244. Put -0.025, -2\/15, 1, n, 4 in decreasing order.\nAnswer: 4, 1, -0.025, n, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 38896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.1 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8107983 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: Let k = 21359 - 9245. List the prime factors of k.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8973 and 1523547.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/32, -1\/4, -1?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 462\/56 + (-14)\/56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3 + 2 + 0)\/(418\/(-3553)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -974 - 970 + 4*h + 1944.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37764144 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11056 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-489288)\/11655 + 42)*7\/3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z - 2*a, -3*a + 6 + 0 = 3*z. Calculate the lowest common multiple of 22 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 714 - 693. Solve 258 = -t*c + 111 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/551 or -1?\nAnswer: -6\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856*s**3 + 316*s**3 + 196*s**3.\nAnswer: 1368*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.034 + -32.034. Let t = j - -35. Let h = 2.9999808 - t. What is h rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141 + (49 - -13) - -14.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19070955 by -27051.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1550)\/93)\/(3\/(-252)) + 8 is divided by 466.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 17*n**2 + n + 5. Let u(o) = 3*o**2 + 5*o - 4. Let q be u(1). Let j be (-17)\/((-4 - -1) + q). Let h be f(j). Is h greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -26*s + 289. What is the second derivative of -34*t**3 - s*t**3 - 29*t + 6*t**3 wrt t?\nAnswer: -270*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(176) + 5))**2 + (-5*(sqrt(44) + sqrt(11)) - (sqrt(99) - (sqrt(99) + -2)**2)))*-5.\nAnswer: -1520 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19021350 by -3.\nAnswer: -6340450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -10. Suppose -g + p = 5. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -46, -9, -2\/25, -2\/37, -0.2, -4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 4*l. Let n be i(-4). Suppose 33 = 4*j + 5*q, 3*j - 3*q - q - 48 = n. Let s be (1 - 0\/3)*j. Solve -y + 5*v + 2 = y, -4*v - s = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12349.38 * 0.16\nAnswer: -1975.9008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 910915*z**2 - 18*z - 37635906.\nAnswer: 1821830*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/48237 and 81\/28?\nAnswer: 192948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-7)\/((-7)\/283). Let i = -528 - j. What are the prime factors of i?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 184\/16*-3988 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-4)\/(-6)). Let i = -48 + 48.07. Let n = 0.07 - i. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-6)\/207*1005?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + -4 + sqrt(22)\/sqrt(2)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102146245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/26154 and -21\/34.\nAnswer: 444618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c + 2 + 0*c**3 + 1\/2*c**4 - 2*c**2. Find the second derivative of g(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 1 + 8*j - 2)*(-j - 2*j - 2*j).\nAnswer: 15*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*c + 5*q, -q + 15 = 5*c + 12. Factor 13\/8*j + 3\/8 + 1\/2*j**c.\nAnswer: (j + 3)*(4*j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 12. Let c be j(-9). Calculate the remainder when 6\/c - 467\/(-7) is divided by 474\/21 - 9\/(-21).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.6 - 55.6. What is the smallest value in m, -0.2, -32, 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 6)*(140008 - 8). Suppose 4*j - 3*j = x. What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -10*d + 4*s + 5226, -4*d + 4*s = -6968. What are the prime factors of d?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(27\/120) + 1. Suppose 2*s = 2, -s = -0*j + 5*j - c. Calculate the highest common factor of 40 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 0*q)*(3 - 3 - q) + 0*q**2 + 4*q**2 - 3*q**2 + (31 + 23 - 3)*(q**2 - 4*q**2 + 5*q**2).\nAnswer: 104*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:05 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziyuuiiiittt. What is prob of picking 1 u, 1 y, 1 t, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132\/55*160\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d + 6. Let z(g) = -13*g + 4. Let o(r) = 2*j(r) - 3*z(r). Let w(p) = 26*p. Determine 5*o(x) - 2*w(x).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133\/114 - 3430\/(-12) and 328.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**(-1\/7)\/t))*t)**(-18))**(-2\/21) assuming t is positive.\nAnswer: t**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3064\/96 - (-192)\/(-6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1250\/(-40))\/((-1680)\/(-2688)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013878 divided by -2?\nAnswer: -1006939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36591245.\nAnswer: 5, 19, 385171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1055)\/4)\/(4\/(-16)). Is (m\/(-10))\/((-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opwpwfwpowfwffpoow. Give prob of sequence wfpo.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 89*n**2 - 101 - 152*n**2 + 62*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-28)\/6*3\/6. Solve 3*m + 12 = z*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 not equal to -261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + q**2 - 2)*(q**2 + 16*q + 7*q + 0*q) to b*q**4 + z + j*q + t*q**2 + c*q**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrireireiie. What is prob of picking 1 i and 3 e?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - l = 958 + 837, -3*l + 2389 = 4*m. Suppose m = 7*d - 515. What is the remainder when d is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208*f**3*x**4 + 565*f**3*x**2 - 3*x**4 + 2*x**2 wrt x?\nAnswer: 4992*f**3*x - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*v - 21, -4*v + 3*v + 8 = -4*r. Let u = -1 - v. Let t = 2204 - 2196. Solve -t - 4 = -u*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(252\/(-602)) - 5) + (-33)\/(-270).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -36*b + 71 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 32*q + 14. Let n be c(6). What is the third derivative of n*y**5 - y**2 + 47*y**3 - y**5 - 7*y - 2*y**2 wrt y?\nAnswer: 60*y**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1293*c**3 - 843*c?\nAnswer: -7758*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(405) + 2*sqrt(405))**2 + 2 + ((1*sqrt(405))**2 - sqrt(405)) + ((0 + sqrt(405) - sqrt(405)) + -2 + 1*sqrt(405)*-2)**2.\nAnswer: 333*sqrt(5) + 5701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 8, -5 in ascending order.\nAnswer: -5, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -4, 5492765 in increasing order.\nAnswer: -12, -4, 4, 5492765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -28\/3, 472, -3\/2, -1\/5, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2205*t**5\/4 - 3606729*t**4\/4 + 8289451*t**3\/4 - 764935*t**2\/4 + 9009*t\/2 = 0. Calculate t.\nAnswer: -1638, 0, 1\/21, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -8\/9*b + 0 + 40\/9*b**2 - 4\/9*b**4 + 14\/9*b**5 - 14\/3*b**3 = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -7*b + 100, 3*b + 5*x + 1084 - 1121 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/4, -1, -2\/13, -0.00262, 10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 80, 181, 338, 569, 892, 1325, 1886?\nAnswer: 2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -6*g + 2353. Let v = 7 + g. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, h: 3, w: 2, p: 1, f: 5}. Give prob of picking 1 v and 1 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -851, -1684, -2517, -3350, -4183?\n\"Answer: -833*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 54*d - 7*d. Solve -t - 4*a - 8 = 5, 2*a - 11 = d*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8223*q - 3876*q - 4057*q)*(6 + 6*q**4 - 6).\nAnswer: 1740*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79868 and 656.\nAnswer: 319472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 182, 176, 168?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120*b**2 + 156*b**3 + 209*b**3 - 176*b - 4*b**4 - 401*b**3 - 96.\nAnswer: -4*(b + 2)**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 - 4*d**5 + 2*d**5 + 0*d**5 + d**5 - 3*d**5 + (0*d + d + d)*(3*d + 2*d**4 - 3*d) - 28*d**3 + 28*d**3 - 20*d**5.\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -245367 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12996*i = -12949*i - 188 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*a - 6, k + 2*a - 2 = -2*a. Suppose -z - k*z - 6 = 0. Calculate the smallest common multiple of 8 and z*5*(-2)\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826302.\nAnswer: 2, 3, 17, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.92 - 15.3. Let p be 25\/(-18)*2 + 3. Which is the nearest to p? (a) w (b) -1\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 3, e: 1}. Give prob of picking 3 p and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -28. Let c(f) = -4 - 220*f + 9 - 4 + p. Let g be c(4). What is g rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (565 - -1)\/((-1)\/18*-12). Suppose -157 = -v - 3*x, -5*v + 7*x - 6*x + i = 0. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 38805 + 146195 = 0. Round o to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*z + 2*z - 60, -48 = -4*v + 5*z. Suppose -v = 4*l - 40. Find the third derivative of 4*w**3 + 2*w**4 - l*w**3 + 3*w**3 - 3*w**2 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 5*i + 47, -3*i - 73 = -4*n. Let z = -9 + n. Suppose z*v + 3 = 8*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1713280 divided by 342656?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143267 divided by 23.\nAnswer: -6229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 5*z**2 - 22*z**2 + 3*z**2 + 3*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2722 + 2773. Let l(a) = -a**3 - 4*a**2 - 3*a + 2. Let h be l(-3). Suppose 7*t - 65 = h*t. What is the remainder when w is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 26. Let b = 30 + m. What is the derivative of -b + 0 + 2*h - 6 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2152 + -721. Suppose 0 = 2*i - 5639 + n. Is (i\/16)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/17)\/((g\/g**(-2\/55))\/g) assuming g is positive.\nAnswer: g**(-364\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -303201 (base 4) to base 15\nAnswer: -e9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -288832.6000008 + 288833. Let c = -37 - -37.4. Let w = c - r. What is w rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and 37\/30204.\nAnswer: 30204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {d: 1, c: 1, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1213, 3, -1, -2 in ascending order.\nAnswer: -1213, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4578 divided by -6.\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 4 - 110)*(-3*c - 4*c**2 + 3*c).\nAnswer: 292*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5 times 0.02?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -102. Solve -5*a - 5*t = -5, a + 2*a - l = -5*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 117643*o + 6 - 11602*o - 13.\nAnswer: 106041*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 2*m - m)*(-3 - 2 + 3) + 0*m + m + m)*(580161 + 2384*m - 580161).\nAnswer: -4768*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let k(o) = -1. Let n(j) = k(j) + x(j). Let p be 4\/(-6) - (-2)\/3. Determine n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16214 is divided by 726.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56100329 and -0.3.\nAnswer: 56100328.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -23. Let v = 693 + -683. Calculate the greatest common factor of p and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 = -6*b + 842 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 + 808. Let a = q + -181. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5*f = -5*j + 75, 1311*f - j = 1315*f - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 33 - (-10 - 10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12 - (-27)\/12. Suppose 0 = 3*i - k*v - 12, 0 = -2*v + 1 - 7. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1091 in 2\/25, -1\/6, 1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 967119692 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421 = -98*k + 833 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070939 to the power of 1\/2, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*k + 2046 = 0, 3*o - 2*k = 6*o - 3089. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*237.745.\nAnswer: 126.00485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (68 - -2)) + 38 + -50 + (30 - 19).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13030697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 140, 263, 390, 521, 656, 795?\n\"Answer: 2*h**2 + 117*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/42218 and -101\/836.\nAnswer: 84436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72360*s + 132236 with respect to s.\nAnswer: -72360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 3*s + 4)*(-3*s**2 + s**4 + 3*s**2).\nAnswer: -2*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-1\/5))\/v)*v*v\/(v\/(v*v*v*v**(-8)))*v**3*v**(5\/4))**(-1\/11) assuming v is positive.\nAnswer: v**(-29\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1160, -9172, -30874, -73112, -142732?\n\"Answer: -1141*s**3 + s**2 - 28*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 10*y - 10. Suppose 0*q = -2*q + 5*v - 13, 5*q = 2*v - 43. Let a be r(q). What is the nearest to 2\/7 in 0, -3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (0 - (67 + (-2 - (-8 - -9))))) + -10.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 126. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 2*w - 3. Let k(b) = b**2 - 1. Let u(r) = -k(r) + l(r). Suppose 10 = 4*x - 2*x. Suppose -t - 28 = 5*d, -15 + 5 = -5*t + x*d. Determine u(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/15)\/(8\/(-12)))\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*f - 29, -w + 5*f + 11 = 2*f. Suppose -2*s = -o + 2*o - 9, -w*o - 30 = -5*s. Calculate the highest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + 184*m**2 - 2*m + 15. Let b(y) = 20*y**3 + 552*y**2 - 6*y + 42. Calculate -5*b(n) + 14*x(n).\nAnswer: -2*n**3 - 184*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 234, 1\/4, 11\/95, 0.05, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47214 divided by -387?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-153)\/3 - (-4)\/2. Let j = p + 104. Is ((-128)\/10)\/((-11)\/j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, j: 6}. Give prob of picking 3 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 39 - (99 + -57 + -51)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/30*7*(-24)\/(-42)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 945, 3763, 8463, 15045?\nAnswer: 23509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 21 = z, -124364 + 124349 = 7*q - z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 13 + 49 = 0. Solve 14 = f + f - 4*j, 0 = -2*f - h*j - 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 305 - 242 + 112)*(-60*a - 107*a - 23*a).\nAnswer: 83030*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.0365 meters in kilometers?\nAnswer: 0.6690365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:17 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8250 and 825.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1003*g - 8440. Give d(7).\nAnswer: -1419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 7*m + 2. Calculate g(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 8*q - 2*g = 5, 0 = q - g - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 - 12*l**2 - 3. Let y(d) = d**3 + d**2 + 1. Suppose -31*x - 5*f = -33*x + 17, -2*f = -5*x + 11. Calculate x*v(r) + 3*y(r).\nAnswer: -r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - i - 4. Let m be h(3). Suppose -2*w = m, 3*w = 2*v - w - 10. Solve k - 15 = -3*q - 0, v*k = -4*q + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.1826436?\nAnswer: 0.0173564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -22. Solve 4*y = j + j, -n = -2*j + 3*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 813356190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**2 + 0*r + 7 + 0*r**4 + 1\/3*r**3 + 3\/5*r**5. Find the third derivative of l(i) wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*8\/16*1)\/(2*3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.9 - 47. Let n = -2 - f. What is the nearest to -2\/3 in -2\/3, n, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(684) - sqrt(684))*-1 + -5 + (sqrt(684) - (sqrt(684) + 1)))*-6 + -5)**2.\nAnswer: -4464*sqrt(19) + 99457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 3, 1, -3 in decreasing order.\nAnswer: 4, 3, 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001876808 to 6 decimal places.\nAnswer: -0.001877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1308, -6256, -14512, -26076, -40948?\n\"Answer: -1654*k**2 + 14*k + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 248577 + -0.3478\nAnswer: 248576.6522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = 16. Let w(r) = r**2 + 8*r + 10. Let f be w(b). Suppose -3*p + 11 = -f*z - 22, 5*p = -2*z + 83. Solve -3*d + p = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**3\/3 + 448*p. Let d(g) = -1023*g**2. What is t(d(s))?\nAnswer: -2046*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2 + 17*k - 1. Let w(c) = -c - 9. Suppose b - 38 = -48*z + 45*z, 0 = -4*z + 3*b + 29. Give z*w(j) + 6*h(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29028 and 273060.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*p = -180, -3*r = 2*p - 188 - 82. Let j = -207 + r. Let c = 216 + j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010982847 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-135)\/(-15))\/(1\/6*6))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2 + 3*n**4 + 2) - 521*n**4 + 530*n**4 + 242*n**4.\nAnswer: 257*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2 + 0. Let k = -3.01 + 0.01. Let w = 1 + k. Which is the biggest value? (a) w (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200122212121001 - 0?\nAnswer: -10200122212121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2. Let z(g) = -6*g. Give z(v(n)).\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6607332 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8223, -16400, -24565, -32712, -40835?\nAnswer: -48928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*o + 1. Suppose -3*k - 1 - o = 0. Let q be (2 - 1)\/(k\/(-24)). Which is the biggest value? (a) -4\/3 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.93 (b) 0.5 (c) 2\/5 (d) 0.2 (e) -12 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i. Suppose -9*a + 141 = -6*a. Let w = a - 45. Let f(d) = -d + w*d + 0*d + d. What is f(z(v))?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*o - 24 = 211, 0 = 5*q - 3*o - 640. What is the greatest common factor of q and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2948144 rounded to 1 decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwdllwdcwdwrglwwdlw. Give prob of sequence lgw.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -9 (b) 5\/3 (c) 670 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1184 and (0 - 4445\/(-15)) + (-1)\/3.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = m + 2 - 1, -4*n - m = -17. Let w = -3 + n. Suppose -3*p + 15 + 0 = w. Sort 4, p, 2 in decreasing order.\nAnswer: p, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (-5)\/1700*2997. Let p = o - 1\/68. Let i = 4 - 3. Which is the fourth smallest value? (a) 5 (b) i (c) p (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h + 8 = 2*q, -3*q = 3*h - 12. Suppose -103 + 3 = -q*p. Let s(y) = -2*y - 1. What is the remainder when p is divided by s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 - 4763105*v**2 + 19052500*v = 0. Calculate v.\nAnswer: -952625, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205 from -7602779.\nAnswer: -7602574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 3:14 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1681 by -8397.\nAnswer: 1681\/8397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 6*a**2 - 3*a + 2. Let b be i(4). Suppose -7*o - b = -2*w - 3*o, -w = 4*o + 7. Suppose -45 = -w*k + 45. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -1) + (11 - (-25 + 34)). Let a(c) = 4*c - 10. Calculate a(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29767, -57139, -84511?\n\"Answer: -27372*d - 2395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 8*w. Let k = w + 5. Suppose -k*f + 325 = -2*h - 3*h, -2*h = -f + 65. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**7\/840 + t**6\/240 + t**5\/20 - 17*t**4\/12 + 11*t. Let b(u) be the third derivative of v(u). Is 21 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*k - 6 = -5*k, 5*c + k - 2 = 0. Suppose 3*m = -c*m + 45. Let t = -145 + 155. What is the highest common factor of t and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*g + 15 = -8*h, -1 = -h + 3*g. Suppose -i + 13 = 2*j, 5*j + i - 19 = 3*i. Sort h, 1, j.\nAnswer: h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 7:22 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-25)\/4*-4*(-8)\/80 and -63\/292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**3 - 76*t**2 - 37*t + 44. Calculate the remainder when 5179 is divided by l(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d**2 + d - 10. Let m = 2 + -12. Let n be x(m). Let b = -3671\/2 + n. Calculate the common denominator of b and 37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 15*w**2 - 230*w - 360.\nAnswer: 5*(w - 9)*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -1933627?\nAnswer: 1933634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + sqrt(2448) + 1*sqrt(2448) + sqrt(2448) + (sqrt(2448) + -1)*6 + 2*(-3 + (sqrt(17) - (-4 + sqrt(17) + -1))))**2.\nAnswer: -720*sqrt(17) + 244809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14782, 20, -136.\nAnswer: -14782, -136, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66, 0.316291, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 8 = -2*p - 2*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (37 - 39) - 51.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 645709688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b + 7. Let y be s(5). What is the third derivative of -y*i**2 + 3*i**5 - 3*i**5 + 2*i**6 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2065*k - 91705. Give n(-45).\nAnswer: 1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 12*p**5\/5 + 2*p**4 - 4*p**3 - 4*p**2 - 7. Factor f(g).\nAnswer: 4*g*(g - 1)*(g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7964 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-25) + (-82)\/(-120) and 16\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57229.2247867 and 2?\nAnswer: 57227.2247867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -258ee?\nAnswer: -25900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cddccccucdddddcdduc. What is prob of sequence dcd?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12 - p - 12. Let u(b) = -13*b - 2. Determine j(u(d)).\nAnswer: 13*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5195700700 rounded to the nearest one million?\nAnswer: -5196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007521092874 rounded to four dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**2 + d - 6. Let g be i(3). Let l = g + 109. Calculate the lowest common multiple of 32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occcooeicceic. Give prob of picking 1 o, 1 c, and 2 i.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c**2 - 64*c - 320. Let i be m(-5). Do 325 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 450 - -4545?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4 - 27*o**3 - 33*o**2 + 27*o + 30 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k*k*k**(-1\/2)*k)*(k\/(k**(4\/9)\/k))\/k)**(-4\/9) assuming k is positive.\nAnswer: k**(34\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 2*k + 2*k)*(3 + 15 - 5)*(0*k - 4*k + 2*k)*(-1 - 1 + 1).\nAnswer: -26*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 58*z**3 - 55*z**3 + z**4 + (2*z**3 - 3*z + 3*z)*(-2*z + 1 - 1) + 2*z**4 + 0*z + 0*z + 0 - 2*z**4 + 0 + 0*z**3 - 3*z**4 + 0*z**3.\nAnswer: -6*z**4 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -9. Suppose -v*b + 6 = -4*b. Suppose 2*s + 4 = -b*l + 9, 0 = -2*l - 2*s. Calculate the remainder when 18 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) 0.03 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27393131 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/20 + x**5\/60 + x**4\/8 + x**3\/2 + x**2 - 22*x. Calculate m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 + 5*h**2 + 4*h - 1. Let s(g) = 11*g**3 + 10*g**2 + 7*g - 2. Calculate 5*n(p) - 3*s(p).\nAnswer: -3*p**3 - 5*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -22.4 (b) -3 (c) 3\/5 (d) -0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23323 (base 4) to base 7.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, -1\/50, 0.8 in decreasing order.\nAnswer: 3, 0.8, 0.4, -1\/50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 5. Let m(p) = -p**3 - 60*p**2 + 12*p + 715. Let z be m(-60). Let b(a) = -9*a - 9. Calculate z*i(x) - 3*b(x).\nAnswer: 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3637 - 3636.85. Which is the third biggest value? (a) h (b) 0.19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (99*z + 46 + 53*z - 44)*(38 - 24 - 20)*(-3 + 2 + 0).\nAnswer: 912*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1541*f + 3 - 1 - 2 - 1546*f. Let j(l) = -3*l**2 + 5*l**2 - 3*l**2. Calculate j(i(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3949.\nAnswer: 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 192*p - 1441. What is w(38)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10206, 16308, 26478, 40716?\nAnswer: 59022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/7 - (-158)\/(-553). Suppose -9 = 4*z - 4*k + 11, 0 = -3*z + k - 11. Let g be (-14)\/6 + 1\/3. Put z, l, g in decreasing order.\nAnswer: l, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026254 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2. Let k(b) = 5*b**2 + 4*b - 15. Let c be k(-5). Let u be 17\/(51\/c) + -1. Let j(f) = -u*f + 6*f**2 + 13*f + 16*f. Determine j(i(h)).\nAnswer: 216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*z - 108*z = 20. Sort -3, -22, z.\nAnswer: -22, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + -0.36. Let j = -201 + 473. Let c = j - 277. What is the third biggest value in c, g, -0.1, 4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - -6) - (18 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 685\/7. Let f be ((-410)\/2214)\/(10\/12). Which is the nearest to 0.2? (a) -0.2 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 3*c + 3*c + (2*c - 3*c + 3*c)*(-6*c**2 + c**2 + 3*c**2) + 0*c**3 + c**3 - 2*c**3 + (77*c - 143*c + 75*c + 2*c**2)*(-45*c - 9*c - 64*c).\nAnswer: -240*c**3 - 1062*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/42 - 8*l**5\/35 + 19*l**4\/28 - 10*l**3\/21 + 133. Suppose r(i) = 0. Calculate i.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13705 equal to -13552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 81*z + 17. Is l(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 + 30 + 14)*(-48 + 26*w + 48) in the form i + y*w and give y.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 divided by -1080?\nAnswer: -145\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((12 - -1) + (-171 - -161)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6*(-9)\/12. Let r = 8.02 + -8.52. Let m = -1801\/5970 + 1\/597. What is the biggest value in r, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24929 - -24931. Solve s*l - j = -1, 2*l = -31*j + 33*j + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let u(m) = -2*m**2 + 3*m - 3. Suppose 13 = -5*q + 38, 0 = l - 5*q + 23. Let k(d) = 1 - 5 + 5*d - 2*d**l - d. What is a*k(r) - 4*u(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**3 - 5*o**3 - 14*o**2 - 6*o**3 wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 238*y + 873. What is z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:27 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. What is the second derivative of -53*h**2 + h**3 - 3*h + 53*h**o wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trrrrrtrrrtrrrrrrt. Give prob of picking 4 r.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, n: 4, g: 1, q: 2}. What is prob of sequence nqn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 8*a - 5*a**2 + 5*a - 2*a**2 + 2*a**2. Let n be b(3). What is the tens digit of 2*4*n\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42867\/20 - -2144. What is the common denominator of v and 2\/(-6) - (-759)\/(-180)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i = 33, q - 91*i = -86*i + 11. Solve 3*p + q = k + 17, 5*p - 5 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 0*f**4 + 0*f**2 + 0*f**3 - 3*f + 4 + 4\/5*f**5. What is the derivative of z(c) wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-12)\/16 + 1)*12)\/1. Is a bigger than 24\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*d + 14*d - 18 + 10*d + d as c*d + l and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = 5. Let o = w + 11. Let -19*l**3 - 8 + 46*l**3 + 18*l**3 - 27*l**5 - 20*l + o*l**2 = 0. Calculate l.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -2\/13, 2, 29.2, 3 in increasing order.\nAnswer: -2, -2\/13, 2, 3, 5, 29.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzzzzzz. What is prob of sequence zd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (468 + 220 + 69)*(3*k**5 - k**5 - k**5)*(1 - 1 - 1).\nAnswer: -757*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 478 = 438 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose -4*w - d = -66, -4*w - p*d = d - 60. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710294 is divided by 1953?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (31 + -87 - -15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7651 or 0.991?\nAnswer: 0.991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30424 + -88?\nAnswer: -30512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) - (-4 + 304\/84)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 - -502. Let y = 162 - h. Let r(j) = -5*j**3 + 10*j**2 - j - 3. Let o(t) = 9*t**3 - 19*t**2 + 2*t + 5. Let u(x) = -6*o(x) - 11*r(x). Determine u(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + 4.9.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -254*j + 256. Let y(q) = -64. Let f(c) = -i(c) - 4*y(c). Let w(h) = 9*h**2. Give f(w(k)).\nAnswer: 2286*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = -3*v + 56 - 104 - 97, 0 = 3*q + 3*v - 8*v - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/2*c**2 - 1\/3*c**4 + 2*c + 1\/6*c**3 + 0. Suppose -5 = 3*z - 2. Calculate n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 14*g + 804. Suppose -3*j + 5*p + 173 = 0, -p = 4*j - g - 135. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137621 is divided by 1101.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 5*a**8\/168 + 3*a**5\/10 + 20*a**2. What is the third derivative of t(c) wrt c?\nAnswer: 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 5*m + m - 4*m + m + 4*m - 2*m + 2 - 2 + (-2 + 0 + 1)*(2*m - 3 + 3) - 6 - 7*m + 6 to p*m + n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - 1385\/(-15). Let r be (-9)\/12 - (-85)\/c. Let d = -35\/69 + r. What is the closest to -0.1 in -3\/4, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*t + 74. Suppose 2*i + 4*k + k = 11, 2*i - t = k. Solve -i = 4*q + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j*o**3 + 1405*j*o + 13563*j - o**3 wrt o.\nAnswer: 12*j*o**2 + 1405*j - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -5*a - 3*g - 2, g + 4 = -a. Suppose 0 = 2*z + z - 15. Put a, z, 2 in descending order.\nAnswer: z, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) -0.4 (c) 3277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.09 (b) 411 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and (-6)\/((-36)\/1655) - -1*(-5)\/(-30).\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4045356 and 585144.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2262, 2049, 1848, 1665, 1506, 1377?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49084 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1 - -1)*0. What is g rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1599, -39, -1, -5 in decreasing order.\nAnswer: -1, -5, -39, -1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:02 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0251 - 1.4749. What is the biggest value in -2, 0.14, p?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -46*j**2 + 7*j - 7. Let x(b) = 23*b**2 - 4*b + 4. Determine 4*k(p) + 7*x(p).\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/80*190\/(-2))\/((-2)\/(-2))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 26, 136, 356, 722, 1270, 2036?\nAnswer: 3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/(-28))\/((-2)\/32). Suppose 0*h - 4*h = -r. Let f be (18 - 0 - (10 - 3)) + -8. Solve -3*u - f = -0*u, -4*v - 3*u = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 5, n: 2, o: 4, u: 1, i: 7}. Give prob of picking 1 i and 2 e.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72209177.\nAnswer: 19, 61, 62303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22289.2585 rounded to the nearest one hundred?\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 9 + 4*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (928\/(-82824))\/((-2)\/6*2)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 23*s - 3. Let r = 103 - 48. What is the remainder when r is divided by t(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 40, 43, 46, 49?\n\"Answer: 3*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -60764, -2, 1\/3, -2\/13, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 152, -3 in ascending order.\nAnswer: -3, -1, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from axgawbv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 = -94*y + 91*y. Calculate the greatest common factor of y and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3)*(-5 + 3)\/(-4)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32554953.\nAnswer: 3, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/4)\/((-116)\/(-16924400))?\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3806214 divided by 7643?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 27*f**2 - 324*f - 1156. Calculate t(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*t - 169 + 8401 = 33*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -8 (c) -0.1 (d) -0.5 (e) 3.9 (f) 2\/13 (g) 131\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 4:39 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 39. Let t be a(-22). Suppose -2*b = -0*b + 3*v - 465, 0 = -t*b - 4*v + 1145. Is b a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:02 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0126 - 0.1126. Let r = 13 + -8. Which is the closest to d? (a) 0.1 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.1. Let d = 67 - 67.4. What is the biggest value in 0, d, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 35*g + 219. Let l be w(-8). Solve 14 - 14 = l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 1 - z - z**2 - 6. Let w be v(-5). Let x(c) = -c**2 - 6 - 12 + 8 + 20 + 2*c - 3. Give x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l - 2. Let a be g(2). Let y(t) = t**3 - 4*t**2 + 5*t - 2. Let b be y(3). Suppose p - a = b. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/90 + b**4\/18 - b**2\/6 + 3*b. Determine y, given that k(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 10 - 30)*(2 + 1 - 1)*(u - 2*u - 3*u)*(-3*u**3 + 3*u**3 - 3*u**3) to z*u + k*u**3 + w*u**4 + g + f*u**2 and give w.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 9:44 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - d05c7?\nAnswer: -d062b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7936*50\/60)\/(4\/(-3750)). What is i rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111 - -100001000?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101998 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 2*c**2 + c**3 - 7\/24*c**4 + 0*c - 1\/20*c**5 + 1\/120*c**6 + 0. Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose 41 = -2*k + g*b, 2*k = -2*k + 2*b - 106. Let j = k - -82\/3. Are j and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31246228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 369153 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 621200 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2254 and 121\/70.\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 606840 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36.6 and -7438.\nAnswer: 272230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + h + (496*h + 110*h + 46*h)*(1 - 2 + 2).\nAnswer: 653*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8c629 - -1?\nAnswer: 1a8c62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 18*c = -12. Let k be ((-12)\/(-24))\/(1 - (-2)\/c). Solve 5*o - 4 = k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1165 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 21. Let p(y) = -2*y + 43. Let z(i) = i**3 + 4*i**2 + 4*i + 5. Let v be z(-2). Let n(q) = v*k(q) + 3*p(q). Is n(-11) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -35 + 6 + 1 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 14) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11207 (b) 2 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.95 - -82.95. Let p = i - 80.5. Suppose -3*j - 4*l + 15 + 2 = 0, 0 = -4*j - 5*l + 21. Sort j, p, 4\/5.\nAnswer: j, p, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -94 + 66 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845 = -3*d - 3*a + 1896, -3*d + 5*a = -3757. List the prime factors of d.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.0501 centimeters to meters.\nAnswer: 0.040501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 - 21)*(-3*i + 0*i - 2*i)*(i - i + 2*i).\nAnswer: 330*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 437*l**7\/210 + 76*l**5\/15 + 80*l**2 + 2*l. Find the third derivative of x(q) wrt q.\nAnswer: 10488*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 46 = 0. Suppose 2*n = 5*c + 52, c + 42 = 3*n - v. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211 + 1122?\nAnswer: 12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -832121*z + 16277 wrt z.\nAnswer: -832121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111012100201 (base 3) in base 9?\nAnswer: 435321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293788*0.005.\nAnswer: -1468.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110810 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22.6794*-1\nAnswer: -22.6794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-165)\/(-121)))\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -75*b**2. Let p(x) = -6*x**2 + 5. Give y(p(d)).\nAnswer: -2700*d**4 + 4500*d**2 - 1875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 2\/3 (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0504 at least -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011101110110111 - 11?\nAnswer: 1100011101110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose -1 = v - 9. Suppose q*n - v = -0. Solve -2*d + 0*d + n = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a. Let f = 701 - 670. Let c(n) = 52*n - 28*n - 9 + 3 - f*n - 3. What is c(w(x))?\nAnswer: -28*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1025 and 0.9.\nAnswer: 0.7975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -5\/3*i**4 - 3*i**2 + 0*i + 1\/5*i**5 + 13\/3*i**3 - 11. Factor l(h).\nAnswer: h*(h - 3)**2*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 29\/2 (c) -46\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3901, 3747, 3503, 3169, 2745?\n\"Answer: -45*g**2 - 19*g + 3965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 67 = 845. What is the highest common divisor of 760 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 15 = 5*k. Suppose -k*s + 5 = -0. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) 2\/3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2, 64207 in ascending order.\nAnswer: -4, -2, 4, 64207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0645 + -7748.\nAnswer: -7748.0645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 1.2, -2, 1\/16, -5, 14 in descending order.\nAnswer: 14, 1.2, 1\/16, -0.17, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2\/449, 3, 2, 54\/631.\nAnswer: 2\/449, 54\/631, 3\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.86315161 to one dp.\nAnswer: -129.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1859\/60 and -32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451 + 7072 = 2217*b - 13332 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 88*d - 75. Let g(k) = 11*k - 9. Let r(j) = -50*g(j) + 6*h(j). Let s(q) = 61*q**2. What is r(s(p))?\nAnswer: -1342*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 + 439. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 745, 2365, 5595, 11239, 20101?\n\"Answer: 134*h**3 + h**2 + 679*h - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 668 = -g, f + 4*g = 2*f + 184. Let r be 1*4*(-3)\/f. Is 1 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 55. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.2 (c) -0.4 (d) -6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + l, -5*x + 3*l - 2*l = 3. Suppose 4*p + x*p = 0. Suppose 0 = -p*a + a - 5. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.812773um in nanometers?\nAnswer: 8812.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 equal to 133127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:49 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -117226068.15 and -0.5.\nAnswer: -117226068.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30032030 (base 4) in base 5?\nAnswer: -3100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**3*s**2 + 7*r**3*s + r**2*s**2 - 3637*r*s**2 + 141*r*s + 2*s**2 - 6*s wrt s?\nAnswer: 4*r**3 + 2*r**2 - 7274*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {q: 1, n: 2, o: 3, b: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*z + 223*z + 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/11 - 39) + 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 1\/30*y**4 + 0*y + 4\/15*y**3 - 7*y**2 - 1\/150*y**6 + 0 - 2\/75*y**5. Let c(m) = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13036.6*-0.217.\nAnswer: -2828.9422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2015103 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2505758133 to five decimal places.\nAnswer: 0.25058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -1)*-6 + -1)*-6*3*1.\nAnswer: -90 + 756*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158688 is divided by 148.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (39\/(-1))\/1. Calculate the greatest common factor of 57 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**7\/14 - 13*z**6\/10 - 21*z**5\/4 + 49*z**4\/4 + 2*z - 106. Factor c(l).\nAnswer: -3*l**2*(l - 1)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-54))\/(((-84)\/(-18))\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213282 + u**2 - 23*u**3 + 213282 - u**2.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 2*m + 3*m**2)*(1 + 0 + 1) + 0*m**2 - 3*m**2 + 2*m**2 - 17*m**2 + 3 - 3)*(m**2 + 2*m - 2*m**2 + 0*m).\nAnswer: 12*m**4 - 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/60 - (-72)\/(-10). Let p(k) = 2*k - 5. Let x(a) = -2*a - 6. Let d(n) = -3*n - 6. Let b(y) = 4*d(y) - 5*x(y). What is w*p(l) - 6*b(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17640133 is divided by 74.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2188, 4379, 6570, 8761?\n\"Answer: 2191*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let d(f) be the third derivative of f**6\/720 - f**5\/30 - f**4\/24 + 3*f**2. Let a(k) be the second derivative of d(k). Determine a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/7 - 264*j**2 - 1845*j\/7.\nAnswer: -3*j*(j + 1)*(j + 615)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36015015*m**3 + 4*m**2 + 335809869*m wrt m?\nAnswer: -216090090*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2651000662.\nAnswer: 2, 677, 1957903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24100030 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 - 252. Let f be -6 - (((-1725)\/(-35) - 0) + u). Is -51 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 87*u - 37. Let f be h(3). What is the highest common factor of f and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 8. Let h(q) = -6*q + 9. Determine 3*h(c) + 4*y(c).\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1824156 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8690*c - 5211?\nAnswer: 8690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 - 3*z - 47. Suppose 21*b + 42 = 14*b. List the prime factors of y(b).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlv when three letters picked without replacement from znnlv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - -35 - (21 - 69)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 57 = 0. Suppose 3*t - 5*t = 12. Let g = t + p. Calculate the greatest common factor of g and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/2, 3, 54634 in ascending order.\nAnswer: -11\/2, 3, 54634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2430 and 347580?\nAnswer: 9384660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 40 = 9*q. Let p be (-36)\/(-8)*q\/42. Suppose -5*w + w = -2*l - 4, 5*w + 3*l = 5. Does w = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 5, d: 4, u: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3)*-6 - sqrt(336)\/sqrt(7))*-2 - (-3*sqrt(108) + 1 + 5 + sqrt(3)))**2.\nAnswer: -444*sqrt(3) + 4143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 131120230?\nAnswer: -131120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -346141392, -346141391, -346141390, -346141389?\n\"Answer: u - 346141393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 39 = -5*o, -3435*f = -3434*f + o + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 10*g**2 - 60*g**2)*(g**2 + 6*g**2 + 3*g**2).\nAnswer: -720*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41191*n - 41189*n - 45 - 23 = -10*u, 3*u - 6 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.4. Let t = -10\/3 + 11\/3. Sort x, -1\/6, t.\nAnswer: -1\/6, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g. Suppose g = w + w - 22. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*f + 6 + 13 = 0, 0 = -2*c + 4*f - 8. Let r(o) = -o - 594 + 0*o + 595. Let x(d) = -d. Determine c*x(m) - r(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48483 - 2010643 = -20*h. Suppose 6*m - h + 18806 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 257fb?\nAnswer: 257f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 + -645. Let h be 5*1*(2 - v\/(-50)). Which is greater: h or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwu. Give prob of picking 1 u and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2502430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11355751 and 1122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(18) + 0 + 1)**2.\nAnswer: 6*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 71*l. Let j(z) = 6*z**2 - 1758. Determine t(j(u)).\nAnswer: 426*u**2 - 124818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 9 (c) 2\/9 (d) -1.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 21*f = 8140. What is the remainder when f is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-189)*(-432)\/648*117\/(-16).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 3*h**2 - 18*h - 13. What is w(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-19)\/((-1596)\/(-48)))\/(4\/(-19222))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 100712 = b, 5*b + 156017 = 3*g + 4970. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1444 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -35.029. What is b rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -25 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 5*h - 2. Let p be q(-3). Let y = -0.03 - -4.03. Which is the closest to y? (a) -2 (b) p (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 4*h + 3*p - 263, -25 = 5*h + 5*p. Put 1, h, 0, 0.1, 1\/12 in increasing order.\nAnswer: h, 0, 1\/12, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*9\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.2? (a) -1 (b) -3\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0*q\/((q*q**(-2\/3)*q)\/q))\/(q**2*(q*q*(q*q**1\/q)\/q)\/q))**(3\/10) assuming q is positive.\nAnswer: q**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -343, -1336, -2985, -5284, -8227, -11808, -16021?\n\"Answer: w**3 - 334*w**2 + 2*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, w: 1, z: 5}. Give prob of sequence zzz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 + 46?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n**2. Let m(h) = 46*h**2 + 47*h**2 - 97*h**2. Determine d(m(s)).\nAnswer: -224*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 9. Let g = -608 - -615. What is c(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-112))\/(2940\/1029)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(-6)*(-12 + -2). Let m be i\/21 - (-1)\/3. Suppose -m*s + 3 - 15 = 0. Sort 5, 1, s.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 8. Let i(u) = 1. Calculate -3*i(j) - k(j).\nAnswer: -2*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 1. Let w be k(1). Let u = w + 9. What is the greatest common divisor of 80 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 107 = -247. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630045.\nAnswer: 3, 5, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15378*b - 137. What is the tens digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16664 - -16666. Solve 9 = k*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.303348 minutes?\nAnswer: 0.0050558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 4. Let n be (0 - -2)*(-5 - -5 - -2). Suppose 0 = -8*w - 6 + 78. Let t(j) = 11*j - 9. Determine n*t(h) + w*o(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 125*z - 817 - 56 = 0, -1 = -r + 4*z + 26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/20*20\/(-6). Let l(c) = c**3 + 13*c**2 + 11*c - 13. Let h be l(s). Let y = -41\/140 + 3\/20. Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.34 (b) 0 (c) 1.7 (d) 3\/37 (e) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/41647008 and -1\/48320?\nAnswer: 416470080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 121\/2, -42\/17, -5 in descending order.\nAnswer: 121\/2, 0, -42\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 25543*r + 25543*r - 110 to i*r + c + s*r**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2)\/((-1)\/(-1)). Let n = -0.205 - -0.225. Sort b, n, 2 in increasing order.\nAnswer: b, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 * 0.365774.\nAnswer: 0.08047028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 6 + 6 + (-2 + 0 + 0)*(1 + 1 + 0))*(5*r + 0*r + 4*r) to b + l*r and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + (-210)\/40 - (-50005978 + -27). What is s rounded to the nearest one hundred thousand?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1306 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*k + 2 = -j, 0 = 4*j + 5*k - 14. Let o(p) = p + 5. Let z be o(-1). List the prime factors of (39\/j)\/(2\/z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131261 is divided by 1313.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 4*c. Suppose 5 = 2*i + a, -2*i + i + 2*a + 15 = c. Let x = 1 + -1. Solve x*b = 3*b - i*j + 40, -b - 5*j = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 16035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y**3 - 27\/4*y**4 + 0*y**2 - 10*y + 28. What is the first derivative of v(p) wrt p?\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-11) assuming c is positive.\nAnswer: c**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9625497 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n. Let d(u) = -123647*u**2. Calculate d(y(x)).\nAnswer: -4451292*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let o(d) be the third derivative of -d**7\/1260 - d**6\/720 + d**5\/6 - 5*d**2. Let c(t) be the third derivative of o(t). What is c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11)*(-65 + 74 + -13)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 60913280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 253305 (base 6) to base 13\nAnswer: a4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -4*x + 75. Suppose 7*n - 3*n = -32. Let w(s) = s**2 + 7*s + 3. Let z be w(n). What is the greatest common divisor of z and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.47315987 and 4.\nAnswer: -5.89263948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38636\/10031 or 5?\nAnswer: 38636\/10031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 115, -1, 5.\nAnswer: -3, -1, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -8, 2, -1.284, 3, 1\/2?\nAnswer: -1.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -1\/6*x**4 + 8\/525*x**7 - 2\/75*x**5 + 0*x + 38*x**2 + 1\/420*x**8 + 0 - 4\/15*x**3 + 2\/75*x**6. Solve z(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 108*a**2 + a + 1. Let f be 4\/(-8)*(-1 - -5). Is n(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4083 = 66*s - 2187. What is the remainder when s is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 - (-50 + -98) - -138\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1225) - sqrt(25))\/sqrt(5) - (sqrt(1620) + sqrt(1620) + sqrt(1620) + 4 + sqrt(1620)).\nAnswer: -94*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430*p + 2678*p - 1255*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 36*t + 5. Let o(c) = -6*c**3 - 108*c + 16. What is -5*o(y) + 16*v(y)?\nAnswer: -2*y**3 - 36*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/3 - 4*r**3\/3 + r**2\/3 + 4*r\/3 = 0. Calculate r.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 10*w**3 - w**3 - 2*w**2)*(-11 - 3 - 4)*(w + 4*w - 3*w).\nAnswer: -180*w**4 + 72*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53964 divided by 6.\nAnswer: -8994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*w**2 - 32*w**2 + 23*w**2 - 52*w**2.\nAnswer: -135*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*t = -55, 6*m = 4*m + 5*t + 37. Let d be (-2)\/m*(-6)\/(-106). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 10, x: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(7056) + 4*sqrt(7056) + sqrt(49) + sqrt(49) + sqrt(49) - sqrt(49)) - (sqrt(4900) - -4*sqrt(4900)))\/(3*(sqrt(175) + 1*sqrt(175))*2).\nAnswer: -37*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 517 and 4.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -0.7, 6, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wwjwwwwjjwwjww?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 2*m**2 - m - 4. Let n be y(-2). Let i(s) = -3*s**2 - s. Let x(z) = -z**2 + z + 1. Calculate n*x(u) + i(u).\nAnswer: -u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1336*x + 28191. Give g(21).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = o + 19, 0*j = j + o + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**7\/210 - r**6\/40 - 3*r**3\/2 - 7*r. Let h(o) be the second derivative of f(o). Find the third derivative of h(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -3. Let n be 4\/q*(-6)\/(-10). Let v be ((-77)\/63 - 3\/6) + 105\/70. Which is the fourth smallest value? (a) 0.1 (b) v (c) n (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 84 = -5*g + 46, -5*g + 130 = 3*k. Let v = 26 - g. Solve 0 = -v*r - 2*r - f, -2*r + f = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8331734 by 3043.\nAnswer: -2738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*b + 368*b + 949*b**2 - 358*b**2.\nAnswer: 591*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/38*-2*2)\/((-117)\/3).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.501659 and 14.\nAnswer: -21.023226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -101*u + 8. Let a be i(-8). Suppose -3*g + 15 = 2*g. Suppose 5*q - g*z - a = -319, 4*q + 2*z - 380 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2 + 0*t - 1\/2*t**4 + 2 - 2\/3*t**3 + 2\/5*t**5. Factor n(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, 0.5, 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1171 - 766. What is the highest common factor of 45 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 2*g + 4 + 0*g - 8*g.\nAnswer: -12*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y + 3*b = 16, 152*y - 149*y - 9*b = 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(242\/33)*-1*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13746 divided by -1\nAnswer: 13746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2557\/29274 - -11\/1394. What is the closest to -29 in -0.09, -0.3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*10\/75*-3. Suppose 23*g - y*g - 5880 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -225*h**4 - 9010*h**3 + 375125*h**2 - 2093810*h - 93800 = 0.\nAnswer: -67, -2\/45, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 556 - 557. Which is smaller: 0.263 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 10*i - 3 + 14*i**2 + 0. Let a be o(-5). Suppose 4*d = -5*v + 7*d + 386, -5*v + a = 4*d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((135\/(-12))\/(-5))\/3. Let t = -0.155 - -4.235. Let x = t - 0.08. Which is the second biggest value? (a) -3 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(26\/(-12)). Let p be 3 - (-2)\/(-6)*(-462)\/(-56). Which is the third biggest value? (a) p (b) j (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - 39\/(-9). Determine a, given that -n*a**4 + 6*a**3 + 6*a**3 - 12*a**3 + 4*a**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32288319 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j + 5. Calculate z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87, -99, -105, -99, -75, -27, 51, 165?\n\"Answer: d**3 - 3*d**2 - 10*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**3 + 4*p**2 - 4*p + 4. Let u(q) = 2*q + 3. Let s be u(-5). Let w = -10 - s. Let j(c) = 5*c**3 - 3*c**2 + 3*c - 3. Give w*n(h) - 4*j(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 99. Let a(k) = -39*k**2 - 8*k. What is a(t(y))?\nAnswer: -351*y**2 - 23190*y - 383031","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*x + 2*x - 2*x)*(124 + 7*x**2 + 120 - 246 + 3*x) in the form f*x + g + k*x**3 + t*x**2 and give k.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -231*c - 4. Let m(h) = -6*h**2. What is m(l(d))?\nAnswer: -320166*d**2 - 11088*d - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3792403.\nAnswer: 167, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1707 - 489 = 174*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 30846286 + 30846286. Let b(n) = 1056*n. What is s(b(m))?\nAnswer: 3168*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 39*h - 905. Calculate the remainder when 2662 is divided by v(24).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, 0.6, 1\/7, -3 in descending order.\nAnswer: 0.6, 1\/7, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6987048 is divided by 810?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5 - 7*w - 7*w**2 - 1 + 20*w**3 - 21*w**3 - 3. Give a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-73)\/(-146))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 97 = -4*i, t + 0*t = 4*i + 91. Let a = i + -103. Let p = -1133\/9 - a. Is p not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - z**2 + z**2 - z**5 + (0*z**2 + 0*z**2 + 5*z**3)*(1794 + 24*z**2 - 890 - 925).\nAnswer: 119*z**5 - z**4 - 105*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 41 (b) -2\/15 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15096)\/(-1071))\/(780\/14). Let c = l + -2\/65. Factor -5\/9*t + 4\/9*t**2 - 1\/9*t**3 + c.\nAnswer: -(t - 2)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.109341*-1137\nAnswer: -124.320717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 23?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4 - 1\/4*z**4 + 1\/2*z**2 + 0*z**3 + 0*z = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/20 + (-16608)\/5. Let p = w + 114322. What is p rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Calculate the highest common factor of 20 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4 and -77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*h - 2, -215 = 3*v + 51*h - 361 - 40 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/66)\/((7\/(-42))\/(24 - 37 - -7))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 148*n = -1276 - 674 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4701502?\nAnswer: 2, 13, 211, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:44 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcwc when four letters picked without replacement from {f: 1, x: 1, c: 3, w: 1, a: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 3, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2174*k**2 + 2182*k**2 - 6537*k**2 + 2183*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1300310313232?\nAnswer: -1300310313302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1350*z + 32. Let c(i) = -1351*i - 40. What is 4*c(r) + 5*s(r)?\nAnswer: 1346*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 9, u: 1, r: 8}. What is prob of picking 1 u, 1 v, and 2 n?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, -1, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*3*2. What is the tens digit of (c + 9)*(-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 3048900 = -52*s. Round s to the nearest ten thousand.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(160)*-1 - sqrt(160)))\/sqrt(8) + 0 + sqrt(245) + -1 + 3*(sqrt(245) + (sqrt(245) - sqrt(245)*-1)))*2*-3.\nAnswer: -348*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v + 4*q + 76, 0 = -5*q - 20. Suppose 4 = 2*s - v. What is the lowest common multiple of 26 and s?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2800224 and -41\/588.\nAnswer: 19601568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/38)*o**29*o)\/(o**(-23)\/o)**(-25\/2) assuming o is positive.\nAnswer: o**(-10261\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 782, 1380, 2112, 2984, 4002?\nAnswer: 5172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6600098*x - 13514388 with respect to x.\nAnswer: -6600098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53971 - 4*o**3 + 16*o**3 - 53971.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95041695 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 27447639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11138 (b) -2\/9 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 2*a - 6 = 15*v, 4*v - 8 = 5*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -112*b. Let z(r) = 64*r. Determine z(a(j)).\nAnswer: -7168*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 24 = -13*b. Which is greater: b or -56\/5?\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/13 + 4130*b**2\/13 - 1841246*b\/13 - 1845378\/13 = 0?\nAnswer: -1, 653, 1413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c**3 - 15*c**2 - 8. Let y(m) = 652*m + 16960. Let o be y(-26). Let w(j) = 5*j**3 + 5*j**2 + 3. What is o*w(g) + 3*q(g)?\nAnswer: -2*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30796 + 30828. Let w(v) be the third derivative of 0*v - 1\/8*v**4 - 2\/3*v**3 + 0 - t*v**2. Determine w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2628494, -10513983, -23656462, -42055925, -65712366, -94625779, -128796158, -168223497?\n\"Answer: k**3 - 2628501*k**2 + 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 9) to base 5\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 97.28764 micrometers?\nAnswer: 97287.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29818532 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -4. Let c = o + -6. Suppose 0*f + c*f - 132 = 3*s, -4*f = 2*s - 188. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by 5\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 3, m: 3, c: 3, e: 1, k: 1}. Give prob of sequence xzz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 195974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 + 1027077.5411?\nAnswer: 1027080.3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.284865 litres to millilitres.\nAnswer: 5284.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*12\/(-16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403.78 - 400. Let b = r + -0.78. What is the closest to b in -5, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z. Suppose -2*s + 33 + 45 = 0. Let d(a) = 8*a - s + 39. Calculate d(c(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-5 - 330\/(-70)). Suppose -v + 4*s - 10 + 5 = c, 5*s - 4 = 2*v. Let d(a) = -a**3 + 4*a**2 - a + 3. Give d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383210.2 litres to millilitres.\nAnswer: 383210200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -13. Calculate the remainder when ((-98)\/(-56))\/(7\/4340*5) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*z + 4 = 0, 2*z = -0*z - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 - 4*w**2 - w + 4. Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*i, 4*w + w = 2*i + 20. Solve -w = -l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 340 = 5*o, -2*j = -4 - 6. Let h = 74 + o. What is the greatest common factor of 49 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4 - -2 - -4. Suppose 0 = 2*j + q*u + u - 11, 2*u = j - 1. Factor j - 8*o + 1 + 6*o**2 - 2.\nAnswer: 2*(o - 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -18. Let s = 18 + v. Solve s = b - 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0121 and -0.04.\nAnswer: -0.000484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -3, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14283426 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: Let q(r) = -5*r + 68. Let g be q(13). Differentiate -41448*z**g + 41567*z**3 - z + z + 38 wrt z.\nAnswer: 357*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5167.7288*3\nAnswer: -15503.1864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 16, 37, 66?\n\"Answer: 4*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 - w**3\/6 - 5*w. Let m(z) = -z**3 + 3*z. Suppose -4*n - n = -5*l - 35, 4*l = 5*n - 31. Determine n*v(t) + m(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47843, -191435, -430765, -765833, -1196639, -1723183?\nAnswer: -2345465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127125 and 8?\nAnswer: 1017000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a31 (base 12) to base 6.\nAnswer: -10501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 6*i + 6. Let q(a) = 2*a**2 + 13*a + 13. Let k(x) = 13*b(x) - 6*q(x). Let o(g) = -4*g + g + 0*g. What is o(k(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10 - 6*f + 3*f + 3*f - f. Calculate the remainder when 18 is divided by t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*r + 2. Suppose -20 = -2*h - 4*s, 3*h + 5*s = -0*s + 34. Solve p + 7 = -r*j, -4*p + 2*j + h = -j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -3*a. Differentiate -5*k**4 + 3*k**4 + a - 1 - 2 with respect to k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 19 = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1675 divided by -2936.\nAnswer: 1675\/2936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/47, 116, -5, 124, 0.11.\nAnswer: -5, -3\/47, 0.11, 116, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 402191833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13161 and -5.\nAnswer: 65805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184.5416 + -0.1416. Let r = l + -185. Suppose 3*d + 2*d + 15 = 0. What is the closest to -1 in r, d, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u**3 - 9*u**5 + 6*u**4 + 50*u**3 - 13*u - 36*u**2 + 25*u = 0. Calculate u.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73887, 73886, 73879, 73866, 73847, 73822?\nAnswer: 73791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16830?\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 774258 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.43 - -12.33. Let p = -10 + c. What is the second smallest value in p, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.192 - 0.142. What is the third smallest value in i, -1, -3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 51. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-170)*5\/25\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/4 + ((-6)\/(-30))\/((-6)\/15). Let u(w) = 6*w**2 - 6 + 0*w - w**3 + 6*w + 18. Let z be u(l). Solve 0 = 2*c + z*t + 18, c + 0*t - 4 = 4*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:23 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 plus 3.2?\nAnswer: -77.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80)*-4 + -2 - (-1*sqrt(80) - sqrt(80))*5)*-3)**2*-1.\nAnswer: -934416 + 31104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/12 + (-2)\/4. Suppose 5 = -z*a + 13. Suppose 0 = -5*i + 2*q + 236, -i + 40 = -6*q + a*q. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**4 + 0*a**4 + 2*a**4)*(9 + 27 + 4) in the form m + h*a + b*a**2 + t*a**4 + f*a**3 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, -5, 0.08, 385\/3, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15466130 to the nearest one hundred thousand.\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92800 divided by -5.\nAnswer: -18560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606841 is divided by 226.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(1008) + sqrt(1008) + 1)**2 + sqrt(1008))*5 + (sqrt(1008) + 2)**2*-4*-6 + -2).\nAnswer: 5808*sqrt(7) + 177788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138265701*x**4 + 63331004*x + 2?\nAnswer: -1659188412*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 38*t**2 - 159*t + 970. Determine i(-9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*c**4 + 467*c**2*p + 71442*c*p wrt c.\nAnswer: -1536*c**2 + 934*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/633786 in -3, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 13*q + 8. Are q and -23\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/20 + 2\/5. Let f be (-54)\/33*3\/9. Is w bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5257*v + 126170. Calculate w(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -0.02, 0.3, -0.217, -100 in ascending order.\nAnswer: -100, -0.217, -0.02, 0.3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174.8 - -175. Sort u, 17, 3\/8 in increasing order.\nAnswer: u, 3\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 72*n**3 + 2*n**4 - 215*n**3 + 12*n**2 + 66*n**3 + 78*n**3 - 4*n**4 - 76*n in the form v*n**4 + c + d*n**3 + l*n + q*n**2 and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/21*0*(-3)\/9. Suppose s = 4*r - 6*r + 36. Calculate the remainder when 87 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -39*s - 46*s + 1092 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 20 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/13 + 3\/26. Let c = -0.07 + 0.16. Let f = c + -2.09. Put x, f, 2 in increasing order.\nAnswer: f, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/13 + 24*c**3\/13 + 2*c**2 - 720*c\/13 = 0.\nAnswer: -5, 0, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1 - -1)*4\/(-8). Do i and 1\/168 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 0. Let l = -0.1 + j. Which is the biggest value? (a) l (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1332507 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 31 + 14 = -12*o, -2*v = -31*o - 68 - 96 + 42 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20829?\nAnswer: 3, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 7, 38, 97, 190, 323, 502?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:31 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 + 5 - (-3 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - -5 - 1*-2. What is the derivative of 15*a**2 + 5*a**4 + 0*a**4 - p*a**2 - 3 wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 < 24895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 10*i**2 - 17*i + 14. What is s(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-904)\/(-678)*3*(-4)\/(-2)*-3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 11*b - 1. Let i(z) be the third derivative of 7*z**5\/60 - z**4\/2 - z**3\/6 - 186*z**2. Give -5*i(w) + 6*k(w).\nAnswer: w**2 - 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from {g: 3, s: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 165.31. Let l = i - -165.081. Round l to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -125. Let q = f - 45. Suppose 21*h - 16*h = q. What is the least common multiple of h and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 0*l**2 + 0*l**2 - 4*l**4 + 2*l**4 + 3*l**4 + (-3 - 3 + 7)*(-l + 3*l**4 + l))*(-7*l + 12*l - 17*l).\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ed + -3cf?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7893\/(-108)*(1 + -98). Let i = v - 7100. Find the common denominator of -53\/16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let k(x) = -4*x**2 + 27*x - 4812. Let y(r) = -r**2 + 6*r - 1203. Let q(n) = 2*k(n) - 9*y(n). Determine v(q(b)).\nAnswer: b**2 + 1203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5*y**3\/3 - y. Let c = 453 - 460. Let v(j) be the first derivative of 7*j**2\/2 + 1. What is c*v(q) - 5*k(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7300 - 8294. Is s at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/10 - 53*i**4\/6 - 200*i**3\/3 - 196*i**2 - 575*i. Factor q(w).\nAnswer: -2*(w + 2)**2*(w + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + h + 12 = 0, -4*q = 34*h - 37*h - 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Let s be ((-78)\/8)\/(j\/(-8)). Let a = 71 - s. What is the highest common divisor of a and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 125745*d - 3774127. Give l(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3961019, 7922035, 11883051, 15844067, 19805083, 23766099?\n\"Answer: 3961016*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**4*m*z - 39*f**4*m - 2*f**4*z - 2*f**2*z + 8*f**2 + 2*f*m*z + 2*f wrt f?\nAnswer: -96*f*m*z - 936*f*m - 48*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -150 + 35. Let z = -16 + 19. Let g = z + n. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000934 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14123*s + 34516.\nAnswer: 14123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/(h**(6\/11)*h*h))\/(h*h\/(h*h**(-1\/2)\/h)*h**4)*((h**(-1\/2))**26)**(-25) assuming h is positive.\nAnswer: h**(7061\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2419990 and 22.\nAnswer: 26619890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/27 + (-208)\/234?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - p)*(-3*p + p + p)*(3 - 1 - 1) - 2*p**2 + 0*p**2 + 4*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 16 - 14*r + 4*r.\nAnswer: 2*r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (-121)\/22)*-12. Suppose -5*c = -45 - 225. What is the greatest common factor of c and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/54 - 2\/(-9). Suppose -r = -q + 6. Solve n + q = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -130. Let i = q - 26. Suppose 92 = 5*m + i. Solve -3*j = 5 - m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -36.2 (b) -121 (c) -277 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -446*j + 454*j + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqqhh. Give prob of sequence hh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2398236 by -373.\nAnswer: 2398236\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103766 is divided by 10137?\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-28)*(7 - -96)*14 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/10 - 2*n**3\/15 - 4*n**2\/5 + 8*n\/5 + 5. Find l, given that s(l) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c**3 + 71*c**2. Let j(q) = -3*q**3 - 2*q**2. Give 6*j(l) + x(l).\nAnswer: -l**3 + 59*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1356 + 1351. Sort 2, 8\/3, m, -1\/7, 5.\nAnswer: m, -1\/7, 2, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1*(-320)\/(-165)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n - 11. Suppose 0 = -3*t + 8*t - 20. Let r(y) = y - 4. Let x(s) = t*k(s) - 11*r(s). Let g(o) = -6*o - 77 + 77. Calculate g(x(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 17*x**2 - 12*x - 41. Is o(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**4*(f**(-2))**(-26) assuming f is positive.\nAnswer: f**(372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256301*a + 512583*a - 27*a**2 - 256282*a.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from yiymyiymydmdiiay?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2, 1\/3, -1, 35, -137 in decreasing order.\nAnswer: 35, 2, 1\/3, -1, -52, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 not equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31819646 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/7)\/l**(-2\/9)*l**2*l**(-1\/3) assuming l is positive.\nAnswer: l**(155\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.5, 12, -67\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110663*j**2 + 110662*j**2 - 221331*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37 + 35)*(1 + (-2)\/3). Sort -2, 2, b in decreasing order.\nAnswer: 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 797\/3, -4, -550?\nAnswer: 797\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 4)*(-40*p + 23*p - 16*p) + 2*p + 0*p + 0 + 1 to b + t*p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*l = -7*z - 20, 25 = -5*l. Which is the closest to -1? (a) z (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23847, 23874, 23901?\n\"Answer: 27*w + 23820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1771, -1754, -1721, -1666, -1583, -1466?\n\"Answer: t**3 + 2*t**2 + 4*t - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403422 divided by 4.\nAnswer: 201711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 895?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2018\/45 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + 0)*5)**2.\nAnswer: 61875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.11999921 + -1.12. What is w rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55*(-48)\/4400)\/((-522)\/20)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - z + 6*z)*(-94 - 76 + 199)*(-5 + 4 - 1)*(2*z + 0*z - 5*z) to x*z + g*z**2 + l and give g.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191\/5784 + 18\/241. Let h(v) be the third derivative of -1\/2*v**3 + p*v**4 + 0 + 0*v - 9*v**2. Determine h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -6. Suppose -5*q - x = -6*q. Suppose -q = 3*t - 145. What is the remainder when t is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5923.526t?\nAnswer: 5923526000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/42 and -19\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6 + (-4)\/(-6). Suppose 3*q - 26 = d*n - 6, 3*q = -n - 5. What is the closest to -2\/5 in q, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c + 5. Let s be n(5). Let x(p) = 7*p. Calculate x(s).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112646 to the power of 1\/2, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(1\/3)))*c**(3\/2)*c)\/(c**(2\/3))**(1\/7) assuming c is positive.\nAnswer: c**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyqoyoloooioon. What is prob of picking 1 i, 1 o, and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, v: 15}. What is prob of picking 3 m and 1 v?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5317 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*y + 32, v - 846*y = -849*y - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1951, 1918, 1979, 2134, 2383?\n\"Answer: 47*k**2 - 174*k + 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-10)\/(-75)*(-460)\/184?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4906 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 240. Suppose 2*a + 2*a = 3*j - 48, 0 = j - 3*a - 21. Calculate the highest common factor of j and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5 - 3*y**2 - 3*y**2 - 260*y + 250*y - y**3. Let r be s(-2). Put -0.3, -0.19, r, -2 in decreasing order.\nAnswer: -0.19, -0.3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.39 and -3.\nAnswer: 16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33751079?\nAnswer: 33751079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:36 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -553101 + 1?\nAnswer: -553100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12 - 11*w**3 + 13*w**2 + 10*w + 10 + 11*w**2 + 10*w**3. What are the prime factors of l(23)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(-3*sqrt(10) + sqrt(10)) + sqrt(21))\/sqrt(3).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*x + 15. Let t = -9 + x. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73872414 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*g - 2*g - 34 = 0, 5*y - 185 = 5*g. Let l be (8\/(-6))\/((-8)\/y). Is 4\/12 - (-124)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:27 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228\/481 in 3, -4, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2403*t - 9. Let v be -1*(-3 - -2) - -2. Let c be m(v). Round c to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289*b**6 + 22305*b**4 - 9*b**3 + 225926481*b**2 wrt b.\nAnswer: -34680*b**3 + 535320*b - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31378768*b**4 + b**3 + 47432*b**2 - 340*b + 2.\nAnswer: -753090432*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1248034554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.1334ns in hours?\nAnswer: 0.0000000000194815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -20, -13, -6, 1?\n\"Answer: 7*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1011*d**2 - 3073*d**2 + 1040*d**2 + 35*d + 1053*d**2 + 7*d to the form z + c*d**2 + r*d and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 8, 2*v - 7 - 1 = 3*q. Let i be (1\/3)\/(q\/12). Suppose -3*x + 3 = -a, -4*a - 12 = 3*x + 2*x. Sort 5, i, x.\nAnswer: i, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 13 + 0 + v + 6 + 2*v**2 to the form w*v**2 + n*v + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 642996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/361 + -367\/1083. Which is the biggest value? (a) 0 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32545, -65102, -97675, -130264, -162869, -195490, -228127?\n\"Answer: -8*s**2 - 32533*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124\/2049 - -213263\/3016128. Calculate the common denominator of 61\/368 and m.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -1\/6*f**3 + 1\/20*f**5 + 0*f**2 - f + 0 + 1\/6*f**4. Let v be k(-2). Solve -2 = -q - 3*q - v*d, -3*q = d - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -22. Solve -m*b = -0*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 4 - 4)*(4 - 2 - 4)*(-4 - 3*q**3 + 4).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three quarters of a hour?\nAnswer: 38700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z + g - 297, 0 = 2*z - g - 198. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - -2) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211 - 113?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 611*k**2. Let v(r) = 7*r. Determine v(c(g)).\nAnswer: 4277*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*a - 0*d - 52, -2*d - 39 = -3*a. Suppose a*u - 105 = 6*u. Suppose -t + 76 = u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -2\/17 (c) -0.97 (d) -3 (e) -5 (f) 1907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34134154 and 41978.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b0 + 3?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1741 - -1745. What is the biggest value in t, 0, 505?\nAnswer: 505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.63 + -26.485. Let r = s + 51. Round r to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jojs when four letters picked without replacement from {s: 9, j: 10, o: 1}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 1\/21*i**3 + 1 - 1\/84*i**4 + 4\/7*i**2 + 4*i. Determine j, given that t(j) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 314.218499.\nAnswer: 314.418499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -32 + 80. Solve -j = j - g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666332, -2666333, -2666336, -2666341, -2666348, -2666357?\nAnswer: -2666368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:27 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/15 + 516*x**4\/5 - 1034*x**3\/5 + 1552*x**2\/15 = 0. Calculate x.\nAnswer: -776, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*-9913.\nAnswer: -23791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 - 1235*c**2 - 252*c + 10251. Calculate k(206).\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135255715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*n - 298*n - 21*n**2.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -559.\nAnswer: -6\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4846490 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24418.\nAnswer: 2, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 275 - 155 = 0. Let l be ((-112)\/(-42))\/(w\/15). Solve -2*r = -l*y - 20, -5*r + 13 = 4*y + 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*g = -g + 5, 4*g = -2*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**6\/360 + f**5\/40 - 7*f**4\/24 + f**3\/3 - 3. Let a(p) be the third derivative of i(p). What are the prime factors of a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*i**4 + 2667*i**3 - 5307*i**2 + 3033*i - 540 = 0. What is i?\nAnswer: -20, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -831, -58, 2, 1 in decreasing order.\nAnswer: 2, 1, -2, -58, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -2\/11, -96213, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32981 and 375830.\nAnswer: 16160690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -70 - 1\/16*v**4 + 0*v + 1\/6*v**3 + v**2. Let h(n) = 0. What is n?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 796.49201 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 9. Let i be d(8). Suppose 3*b + 9 = 48. What is the third derivative of -s**2 + b*s**2 + 24*s**4 + i*s**4 - 50*s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642435?\nAnswer: 5, 263, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {k: 1, p: 6, f: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*f - 268, -p + 3*f = 2*f + 248. Does 19 divide (-4896)\/p + (-4)\/(-7) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(500) + -2 + (sqrt(500)*2*-4 + sqrt(500) - sqrt(500))**2 + sqrt(500) - (-4*(sqrt(60)\/(sqrt(12) + -2*sqrt(12) - sqrt(12)) - 1*sqrt(5)*2))**2.\nAnswer: 20*sqrt(5) + 31499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.2, -2\/5, 416, 1\/28, -5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.558 - 0.081. Let x = -0.039 - s. Let h = x + -8.6. Is h < -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173617687 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1670224 - -88822. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 19. Suppose -o = 4*j, -4*h + 500 = -2*j + 1334. What is h rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/21)\/c*c*c*c))\/c*c*c*c**(2\/15)*(c*c**(-12))**31)**(-17) assuming c is positive.\nAnswer: c**(203354\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2862, 2863, 2864, 2865?\n\"Answer: h + 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -336, 3, -15, -9 in decreasing order.\nAnswer: 5, 3, 2, -5, -9, -15, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.51 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1291911788.9 rounded to the nearest one million?\nAnswer: -1292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -921 + 4*o**2 + 920 - 41*o**2 in the form f*o + b*o**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 54570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.39 + -0.0097115.\nAnswer: -1.3997115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*y - 319728 = -3600*y for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g - 18 = -63*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 41*x**2 + 197*x + 20. Calculate y(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -10. Suppose -y*x + 11*x - 90 = 0. Let s be 2\/x - 4\/(-5). Solve -1 = -d - 3*m + s, 0 = m - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410484 (base 11) to base 2\nAnswer: 10100000111111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -2 in descending order.\nAnswer: -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:16 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -6 (c) -37604 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 14. Let a be n(10). Let t be ((-111)\/9)\/((-1)\/(-3)). What is the common denominator of (-2)\/(7\/t*a) and 137\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.288402569631 and 3.\nAnswer: 2.711597430369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8582353517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 814748.\nAnswer: 7332732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1701 and 71940393?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 93 = -33. Calculate the greatest common divisor of d and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/32 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7. Let y be (1 + s)\/((-1)\/(-1)). Let j be 21\/6 + (-3)\/y. Put 0, j, 3 in descending order.\nAnswer: 3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 8, 22, 52, 104, 184?\n\"Answer: g**3 - g**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 0.401. What is g rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 11 + 5. Suppose 5*x - 2 = -5*v + y, 5*v = 2*x - 11. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 + 5*x**2 + 2*x - 6. Calculate i(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 233*o**2 + 189*o - 1625. What are the prime factors of l(9)?\nAnswer: 7, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285589760 to the power of 1\/2, to the nearest integer?\nAnswer: 16899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 46*m**3 - 45*m**3 + 5*m**2 + 3 + 3 - 5*m. Let r(x) = x**3 - 3*x**2 - 2*x. Let w be r(3). Calculate f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*f**3*p - 16*f**3 - 135*f**2*p + 343 with respect to p.\nAnswer: 27*f**3 - 135*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**2 + 8*c + 35. What is r(-5)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76279 by 10897.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 333591 and 13566034?\nAnswer: 40698102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-18))\/(((-8)\/36)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:51 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 1 = 155*v - 33 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7))\/a**14)\/(a**(-5))**(5\/11) assuming a is positive.\nAnswer: a**(-195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 390\/910 + 5694\/(-7). Are -814 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 370.4 + -365.4. What is the second smallest value in -142, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lluuluclcllcu. Give prob of sequence cu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222613 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose 3*v = j*v + 2. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -2*k**7\/105 + 43*k**6\/24 - 417*k**5\/20 + k**3\/3 + 667*k**2. What is the third derivative of v(b) wrt b?\nAnswer: -96*b + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, 191, 3, -3.\nAnswer: -3, 3, 191, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6786 and 70035?\nAnswer: 5462730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-34)\/84 + (-2)\/(-6) and (-28)\/(-5)*75\/(-54).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110011010100010 - -11001011101?\nAnswer: 1101110110011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 3:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/875*5)\/(62\/3720)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 6*n + 5. Suppose 3*l = 2*i - 49, 53*i - 21 = 2*l + 50*i. Let h(k) = -9*k**2 + 24*k - 21. Determine l*m(p) - 5*h(p).\nAnswer: 3*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 2*s - 8, -3*j + 2*s + 284 = 276 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5014120 and 14440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120165 by 31.\nAnswer: 120165\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 16 = 2*t. Let m(u) = u - 10. Let i be m(6). Is (i + -2 + 2)\/(t\/191) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 44. Let s(b) be the first derivative of -b**2\/2 - 3*b + 30. Let z(t) = 2*t - t - 7*t - 16. Calculate p*s(q) - 3*z(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 - 6*d + 7. Let m be x(2). Let u = -26 - m. Calculate the lowest common multiple of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*y**3 + 13630 - 6813 - 6817 - 205*y**3.\nAnswer: -756*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 + 2 + 6 - 1639*y.\nAnswer: -1639*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*a - 15, 3*z - 187 = 5*a - 193 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, -4\/7, 1\/3, -136, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 0*x**3 + 1 + 5*x**2 + x**3 - 3*x. Is a(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 91 = 3*l - 2*l, 2*x = 2*l + 44. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:04 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiinniinii. Give prob of picking 2 i.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:56 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247592 <= 3247971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40972430?\nAnswer: 2, 5, 23, 178141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 20*q - 23. Calculate the remainder when c(15) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162 + 19*u - 162 to the form w + j*u and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -6, -0.016, -15\/8, -1 in descending order.\nAnswer: 0.3, -0.016, -1, -15\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148.3 in 0.4, -2, -3\/14, 0.28, -3, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -92, 1, -5, -6.\nAnswer: -92, -6, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -1 (b) -2\/59 (c) 2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29402393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2321.7081 + -2322.7. Let u = m + -0.0081. Let j be (-128)\/(-220) - 2\/11. What is the nearest to j in -3, u, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**5*p))\/p)\/(p*p*p**(-2))*(p*p**2)\/p**(-6\/7) assuming p is positive.\nAnswer: p**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 602 = -4*w. Let c be (-206)\/(-310) - w\/1767. Factor c*u**4 + 0*u - 3\/5*u**2 + 0 + 0*u**3.\nAnswer: 3*u**2*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 271511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/4739 and 67\/84.\nAnswer: 56868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 622943796979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 32. Let m be (r\/2)\/(21\/28). Suppose -20*g - 50 + 66 + 2*g**2 + 0*g**2 + m*g**2 = 0. What is g?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.333 + 0.167. Let n = i - 34. Put -2\/7, 1, n in decreasing order.\nAnswer: 1, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((660338\/10100)\/(-467))\/(14\/(-5))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 13*x**2 + 4*x + 4. Calculate a(-13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:23 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.212854931 to five dps.\nAnswer: 0.21285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000101000011000 (base 2) in base 7?\nAnswer: -5604511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)\/(m**(-2\/9)*m*m*m))**13)**50 assuming m is positive.\nAnswer: m**(-7475\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4672 - -4714. What is the greatest common divisor of 728 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*s - 638, s - 116 = -g + 531. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231 divided by -1077?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -14. Let y = -5 - -2. Let a(h) = 5*h**2 - 3*h - 2. Let p be a(y). What is the highest common factor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110237563, 220475132, 330712701?\nAnswer: 440950270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -335064 (base 8) in base 3?\nAnswer: -12202021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 23*x**3\/2 + 18*x**2 + 29*x. Let n be k(21). Calculate the remainder when 60 is divided by ((-8)\/(-10))\/(54\/n).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 5, -0.6, 7, -1495?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2278276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 537.8596.\nAnswer: -5378.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 29. Let d = -12 + g. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 + 5*t**2 - 7*t - 7. Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + w = -886, -8*m - 2633 = -11*m - 2*w. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000411943 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 10*g**2 + 13*g - 2. Determine b(7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2177.88183ms to days.\nAnswer: 0.000025206965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -13*y - 60000. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -26*j**2 - 88*j + 10. Let u(b) = -261*b**2 - 924*b + 99. What is -6*u(y) + 63*w(y)?\nAnswer: -72*y**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 32*a = -1410. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287808 divided by -2.\nAnswer: 143904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(128) + sqrt(128)) + sqrt(128) + sqrt(128).\nAnswer: -4 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-60) + 36\/(-5) + -1. Let y be (-3)\/12 - (-54)\/m. Let x = -99 - -95. What is the fourth biggest value in x, 4, -1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:25 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172, -672, -1512, -2698, -4236?\n\"Answer: -o**3 - 164*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*z = 8 - 2, 2*m - 10 = -3*z. Solve -o - 20 + m = 5*n, -o = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 1 - 59 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 60*r - 11704 = 38*r. Which is smaller: r or -833?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 103554793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/i*i**0*i**7*i**(-10) assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 12*r - 7. Let w(g) = 4*g + 6. Let h be w(-6). Let u = -9 - h. Calculate the remainder when u is divided by p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -286918442 and -4.\nAnswer: -286918446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 134. Let i(x) = 16*x**3 - 4*x**2 + 2. Calculate the remainder when j is divided by i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14171 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.2 (c) 11900911\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - (5 + 10))\/4 + 2 + 4252. Are 4243 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 47*v**4 - 48*v**4 - 11*v + 12*v - 2*v**3 + 33*v**2 as w*v**2 + a + b*v + j*v**4 + c*v**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, 0, -13.\nAnswer: -13, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 566820 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - b**2 - b**2)*(-b**3 + 2*b**3 - 6*b**3 + b**3 + 0*b + 0*b + (-2 - 2*b**2 + 2)*(-1 + 2*b + 1) + 0*b**2 + 0*b**2 - b**3).\nAnswer: -27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12422728 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 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: Factor 5*a**5 - 11215*a**4 + 9430410*a**3 - 3521727990*a**2 + 491715369585*a + 495246539205.\nAnswer: 5*(a - 561)**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxnnnxcnlqn. Give prob of sequence cn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 10*t + 10. Let d(p) = -6*p**2 + p + 3. Let s be d(t). Which is the closest to -2? (a) 17 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 18*m + 53. What is z(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (-2*sqrt(448) + sqrt(448))**2 + sqrt(84)\/(sqrt(12)*1).\nAnswer: sqrt(7) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -15. Suppose -5*s + 4*i = -o, -5*s + i + 75 = 3*i. What is the remainder when 35 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -2.6. What is the closest to -2 in 1\/4, x, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -510921, -510919, -510915, -510909, -510901, -510891, -510879?\n\"Answer: x**2 - x - 510921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9680 = 4*t - 19*i + 20*i, -t + 2403 = -4*i. What are the prime factors of t?\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(150)*-2)**2 - (sqrt(22)\/sqrt(2)*1 + sqrt(11) + -1)**2.\nAnswer: -1081\/25 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + (-15 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g)**(-2\/19)\/(((g*g\/g**(-6))\/g)\/g*(g*g\/((g\/g**(4\/7))\/g))\/g) assuming g is positive.\nAnswer: g**(-1993\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g + 25*g - 11*g - 204*g**3 - 4*g + (2*g + 4*g - 3*g)*(0 + g**2 + 0) in the form y*g**3 + t*g + f + r*g**2 and give y.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11182483 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-1)\/10 + (1242\/(-69))\/((-28)\/(-91))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*h = -85, 9*u + h - 55 = 6*u. Solve -6 + u = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4\/(-8)*-1). Suppose a*i = i + 3. Suppose i*c = 2*y - 3, -y = 5*c - 7 - 1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91567 divided by -16.\nAnswer: 91567\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -25, -5 in decreasing order.\nAnswer: 3, 1, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/(3\/(-4)). Suppose -5*h - k*q + 12 + 11 = 0, -h - 9 = -3*q. Suppose 7*l = h*l. Is l at most as big as -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/33 - 3\/11. Let q = 76 + -75.6. Which is the second biggest value? (a) q (b) -18 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 64. Sort l, -3, -3\/5 in descending order.\nAnswer: -3\/5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, p: 9}. Give prob of picking 2 p and 2 n.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, -2\/3, 0.8, 62\/3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*a + 6, -2*x + 4*a = -3 + 7. Let b = 24 - 38. Let o = x - b. Which is bigger: o or 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -14. Which is the closest to 1? (a) -2 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87355033 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s + 5*p = 1, -2*s + 1 = 3*p. Calculate the least common multiple of s and 2*(1 + 2 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/24 + (-26)\/(-12). Suppose 3*n - 47 = -2*p - 11, 20 = s*p - n. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-19)\/(-57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -21. Let y(r) = -3*r - 2. Let n be y(-4). Suppose -2*v + 2*z - n = -3*v, f = -z + 5. Which is the third biggest value? (a) 2 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s = -1 - 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -979 - -5984. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419776 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose -28*n - 416*n = -3552. Put r, -2, -3, n in descending order.\nAnswer: n, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*n**2 - 4 + 2 - 3*n**4 - 7*n**2 wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 1397 = 36*m + 224 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let z(v) = 14*v**2 - 83*v - 4. Let m be z(6). Suppose -m*f = -4*o + 28, q*o - o - f - 22 = 0. What is the highest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 32*h + 15 = 0. Solve 3*t + h = 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:39 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(684)*1 + (sqrt(684) + -1)*-3 + 2*(3 + sqrt(684) + 2 + sqrt(684)))**2*-6.\nAnswer: -148758 - 5616*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -17. Let a(l) = 5*l**2 - 180*l - 558. Let v be a(-3). What is the greatest common divisor of v and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 88367028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*s, 5*v + 2 - 6 = -s. Let p be (-2 - 0)\/((1 - 2)\/s). Which is the smallest value? (a) p (b) -1\/4 (c) -1\/2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 14. Suppose 5*o - 48 = -h. Solve 3*y - 4*r + 22 = -2*y, 4*y - 4 = -o*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -927*k**4 + 333*k**2 + 1?\nAnswer: -22248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2770, 4363, 5956, 7549?\n\"Answer: 1593*z + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 5*m**2 - 3. Let t be i(-4). Suppose -4*g + t = -2*y - 17, 0 = -2*g + 2. What is the units digit of (-2)\/13 - 93\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**4 + 0*c**3 + 3*c**2 + 2*c**3 + 0*c**4 to d*c**3 + h*c**4 + t*c**2 + z + l*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*x + 16019992, 4*x - 9612791 = -4*r - 41652799. Round r to the nearest one hundred thousand.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**6\/30 - 7*z**2\/2 - 2*z. Differentiate x(v) wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96*120\/(-5120)*(-2)\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:16 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 28. Let c(w) = w + 2*w + w - 6. What are the prime factors of c(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**4 + 0*a + 0 + 3*a**3 - 51*a**2 + 2\/15*a**5. Differentiate g(w) with respect to w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 + 1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 4*y - y - g - 7 = 0, -5*y = u*g - 40. Suppose y*l + 5*w = l + 22, 5*l + 5*w = 30. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehhh when four letters picked without replacement from {e: 9, h: 7}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03094 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.112559 and -10.5466.\nAnswer: -10.659159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = -2*t + 5*o, 0 = -t + 2*o + 12. Suppose -4*u = p - t, 3*p - 10 = 2. Solve u = -3*b - 0 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 3. Let b = 1 + t. Suppose -530 = -15*x + b*x. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 4 = 0. Suppose -2*w + 198 = 4*s, 0 = -2*w - n - 0. What is the greatest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-6 - -6) + 4. Let d(j) = j**3 - 8*j**2 - 17*j - 25. Let b be d(v). Sort -3, b, 3, -5 in ascending order.\nAnswer: -5, -3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 2\/7 (b) 8\/71 (c) -4 (d) -3\/8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (220\/(-15))\/11*(-6)\/4. What is the third derivative of y*r**4 - 21 + 13*r**4 + 21 - 35*r**2 wrt r?\nAnswer: 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/3 - 418*k**3\/3 + 6382*k**2\/3 + 10294*k + 8028 = 0.\nAnswer: -223, -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 5 + -9 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/4 - 1925*x**4\/4 + 219735*x**3\/4 - 6286815*x**2\/4.\nAnswer: 5*x**2*(x - 171)**2*(x - 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 l when four letters picked without replacement from {q: 1, v: 2, e: 2, l: 7, p: 1, w: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggigiggiigiiig. What is prob of picking 3 g and 1 i?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzllx. Give prob of picking 2 z and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.00800224 + -0.008. Round k to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10269235 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13)*1 + -3 - -1*(0 + sqrt(208) + sqrt(208))**2.\nAnswer: sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 39 = 211. Suppose 0 = -t - t + 20. Calculate the highest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4303622 is divided by 240.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000915032 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 492 + -488. What is the second derivative of 4*y**2 - 7*y**l - y + 3*y**3 - 4*y**2 - 50 - 7*y**4 - y**4 wrt y?\nAnswer: -180*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 877*j + 9. Let p be m(3). What are the prime factors of 8 - (-8 - p\/6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587 - 584 - 37*a**2 + 1171.\nAnswer: -37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425808.\nAnswer: 2, 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d + 2, f - 2*d = 5. Suppose 2*y - 19 = f. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -93. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2975 and 16\/85.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 605033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 = 3*b, -5*n + 15 = -0*b - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -19*b + 12 - 3\/2*b**2 + 0*b**4 + 3\/20*b**5 + 0*b**3. Let y(z) be the first derivative of f(z). Differentiate y(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233073557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010110100 (base 2) in base 3?\nAnswer: 212102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 71 (c) 3\/2 (d) -5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2. Let p(n) be the second derivative of n**4\/6 + 6*n. Determine p(t(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 1\/((-2)\/938) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28050 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 41. Let a(g) = 29*g - 33. Let m be a(1). Put 2, -5, i, m in decreasing order.\nAnswer: 2, i, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 = 3*x. Suppose 0*q = x*q - 474. Suppose 4*w - 145 = 2*i + 45, -5*w = -3*i - q. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 104*x**6\/3 + x**2 + 72*x - 270. Find the second derivative of m(s) wrt s.\nAnswer: 4160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + 10010?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31403037, -62806067, -94209095, -125612121?\n\"Answer: h**2 - 31403033*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/67 - 71\/268. Which is the nearest to -1? (a) 1\/9 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - r - 11 + 2 = 23*n, 14*n + 48*n - 112 = -5*r + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 - -23333313003?\nAnswer: 23333312033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47\/4 of a millennium?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/11 + 5\/(-33). Let t = 0.457 - -4.543. Let n be 4\/6*(-3)\/(-13). Which is the nearest to m? (a) n (b) -3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -69. Suppose 0 = -i + v*i - 12. Differentiate -85 - 10*b**i + 40 + 44 with respect to b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122\/15 + 8. Let i = 12 - 22. Which is the third biggest value? (a) -2\/3 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z + 4*z. Let d be 4\/(-45) - 6\/(-27). Let u = -7729\/4 - -1931. What is the nearest to z in 3\/5, d, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23515.\nAnswer: 5, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10) + 106\/4 + -2. Solve 21 = 2*j - 2*l + 7*l, -5*j + 3*l - x = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/10 + (-2)\/(-5). Suppose -5*i = -2*f - 207, r*f - 38 = -i - 0*f. Is i a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 7029.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1459998612 + 3*t**2 - 1459998612.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:47 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*a = -a + 1, -17 = -2*p + 3*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/117*(-8)\/(8\/(-15)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*s + 19, -60*s - 21 = -63*s - 3*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19 + -0.0174?\nAnswer: 1.1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 142 (b) 1\/13 (c) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 114 - 198 = 0. Calculate the remainder when 417 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035154026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 15824740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*p, 3*p + 54 = 3*r + 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + j + 4. Let i(p) = -1 + 0*p + p**2 - 2*p**2 + 0*p. Let s be (-1)\/(-2)*12\/2. Let a = s + -2. Determine a*b(h) + 3*i(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299618.\nAnswer: 2, 11, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*f**2 + 247*f**2 + 145*f**2 - 29*f**2.\nAnswer: 474*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 2*g + 95. Let c = -83 + 55. List the prime factors of p(c).\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 7 = z - 4*k, z + 14 = 3*k. Let b be 4 - (z + 3 + -5). Solve 13 = -2*m + b, 4*j + 3*m + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 + 48922*o**2 - 3*o + 632527 with respect to o.\nAnswer: -3*o**2 + 97844*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 20 = 0. Let b be (195\/(-25))\/((-2)\/g). Suppose 72 = 2*q + 4*h, -5*q + 270 = -4*h + 62. Is q <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {c: 7, d: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o - 1 + 0*o**4 + 1\/60*o**5 + 5\/3*o**3 + 0*o**2. Let m(x) be the third derivative of f(x). Let j(a) = 4*a. Give j(m(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-332*p + 634*p + 470*p).\nAnswer: 772*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhzzxzzmzmxhhzzzx. What is prob of picking 2 z?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-1820))\/(54\/(-56) - (-15)\/(-20))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 12. Suppose -5*o + 4*v = -q*o - 210, -4*o + 427 = -v. What is the remainder when 28 is divided by o\/7 - 2\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 5*z + 5*c + 25, 4*z + 2*c = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1774*-0.4\nAnswer: 709.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - 11*d + 3. Let m be g(0). Solve -4*v + 5*u = 0, -3*v - m*u - 22 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4203 + 4820 = -221*q + 838 + 671 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2490 and 8820.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*4 + -3*sqrt(2400))\/((-5*sqrt(64)*-2)\/(6*sqrt(8)*-1)).\nAnswer: 42*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/14363 - 43101\/28726. Let r be (-8)\/15 - 6\/(-18). Put r, -11, 0, x in increasing order.\nAnswer: -11, x, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:29 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 3058656 and 3058655 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 24860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cckk when four letters picked without replacement from {k: 7, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 56*v**2 + 56*v + 39. Let y be f(27). Let i(z) = -z**2 - 25*z - 29. Let w be i(-24). Does 18 divide y*w\/(-6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, 1, -4, 2 in descending order.\nAnswer: 5, 2, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1116203 and -4?\nAnswer: 4464812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crcr when four letters picked without replacement from lcnrrcne?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.284417t in kilograms?\nAnswer: 7284.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -697 and 0.4?\nAnswer: -278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -86781 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 57*z - 59. Determine p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2035, -2014, -1981, -1930, -1855, -1750, -1609, -1426?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by 25142.\nAnswer: -106\/12571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44.3 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 297515083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 19 - 4)*(9 + 5 - 7)*(-f + f - f).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 22 = -7. Calculate the highest common factor of 150 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -8. Let t be -1*82*a\/2. Let j = t + 58. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-15))\/(78\/15). Which is the fourth biggest value? (a) -0.4 (b) g (c) -3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 8. Let w be 4*3\/z + -1. Solve 3*k = w*c - 35, -c = -4*k - 2*c - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(700) + -5 + 0 + 0 + 3)**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) 0.05 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*t + 967070 = -90*t. Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568869 - 3*x**3 - 568869.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.01 + -2. Let b = 16.9 + 0.2. Let c = -17 + b. Is h >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3760 and 113\/28.\nAnswer: 26320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(275) + sqrt(275) + 1) + -4.\nAnswer: -60*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from cnrab?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -144*h - 5076. Let g(b) = -2*b. Determine v(g(k)).\nAnswer: 288*k - 5076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 - 4 = 0. Let o = -10 - z. Suppose -14 = 2*c - 3*h, -2*c + 2*h = 31 - 21. Put o, c, 0, 2 in ascending order.\nAnswer: o, c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + sqrt(891) + (sqrt(891) - sqrt(891)*-2) + 4) + -2)**2*4.\nAnswer: 43776*sqrt(11) + 918160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -31.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -367.49 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -11\/3984207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1737 and 3501.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8783 - -0.47815. Let k = -0.4 - c. What is k rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67600*i**5 + 421*i wrt i?\nAnswer: 1352000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p - 1. What are the prime factors of r(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x - 1461. List the prime factors of x.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -202.\nAnswer: -202.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -809 times 71.02?\nAnswer: -57455.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -3, 2580, 4.\nAnswer: -3, 4, 105, 2580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 1780.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/3 + 12112*l**3\/3 - 3056260*l**2 - 12112*l\/3 + 9168784\/3 = 0. What is l?\nAnswer: -1, 1, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - w - 781 = 0, -5*k - 2*w + 310 = -3*k. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -1 - (-13 + 5 + 7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 13. What is the remainder when 137 is divided by l(-8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1008) - (sqrt(1008) - (1 + sqrt(1008))) - sqrt(1008)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 9:23 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108927.261us in days?\nAnswer: 0.0000012607321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -395 or -120783\/305?\nAnswer: -120783\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o - 2*o + 0*o)*(-13 + 18 - 29) to the form z*o + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:19 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*n + 161*k + 277*n wrt k?\nAnswer: 4*k*n + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 3*v**2 + 4*v + 4. Let z(r) = -r**3 - 5*r**2 + 7*r + 6. Let u be z(-7). Suppose -u*b = -57*b - 6. Calculate w(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.5 + 12. Let k = n - -3.7. Which is the smallest value? (a) -1 (b) 13 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -75. Suppose -5*c = -4*c - f. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12187? (a) -0.3 (b) 23 (c) -1\/2 (d) 2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 6002 + 3046 = 0. List the prime factors of u.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004151946 to six decimal places.\nAnswer: -0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38512766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 52*j + 2160. Let a(y) = -14*y**2 - 117*y + 4320. Let h(l) = 4*a(l) - 9*c(l). Let p(f) = 2*f. Calculate p(h(n)).\nAnswer: -4*n**2 - 4320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23101 (base 4) in base 12?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/839, 0.1, -21840 in ascending order.\nAnswer: -21840, -8\/839, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146.74 + -0.26. Let k = i - -147. Which is smaller: k or 15\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 9*s = -632. Suppose -503 - s = -n. List the prime factors of n.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -18, -31, -48, -69, -94, -123?\n\"Answer: -2*y**2 - 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -30*m - 57. Let t be k(-2). What is the nearest to 0 in t, -0.3, -1\/4, 7\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 17. What is the derivative of 0*i - 4*i - 1 - 1 + c*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 304*x - 1143. Calculate the remainder when k(10) is divided by 211.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in -3, 5, -2, 4.13, -5\/661?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715\/13*(-1)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20927 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494.5 + -495.5. Suppose -z + 3 = -1. Let u be 2\/z + 2\/(-6). What is the third smallest value in u, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 + 0 = 0, -2*c - 3*u = -12. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of ((-69190)\/66)\/((-15)\/540)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzp when three letters picked without replacement from {p: 2, n: 1, z: 4, m: 3, c: 2, h: 6}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/((-180)\/8) - (-65105)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2195?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 7, t: 5, i: 5}. Give prob of picking 1 t and 1 v.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, v: 2}. Give prob of sequence vh.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1405834*i**2 + 2080722*i.\nAnswer: 2811668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 133 - 2325*v**4 + 135 + 2162*v**4 + (2*v + 3 - 3)*(0 - 2*v**3 + 0).\nAnswer: -167*v**4 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 3 + 4)*(3*u**2 - 5*u**2 + u**2) + 0*u**2 + 0*u**2 + 2*u**2 + 5*u**2 - u**2 - 5*u**2 to a*u + m + o*u**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 1}. Give prob of picking 1 b and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*v + 5*b, b = -3*v - 0*b + 34. What are the prime factors of (-15)\/6*(-24)\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((2 + sqrt(7))*-3)**2 + -4*sqrt(14)\/sqrt(2) - sqrt(42)\/((sqrt(384) - 3*sqrt(384)) + sqrt(384))).\nAnswer: 257*sqrt(7)\/8 + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10011021?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z + 735 = 0. Let w = z + -94. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -441*i**6\/20 + i**4\/6 + 189*i**3\/2 + 2*i**2 + i + 1385. What is the second derivative of h(w) wrt w?\nAnswer: -15876*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) 2\/5 (d) 10 (e) -42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:20 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 83*z**3 - 7*z**2 - 13. Let l(m) = 56*m**3 - 5*m**2 - 9. What is -7*l(a) + 5*n(a)?\nAnswer: 23*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 21*l + 89 = -2*p, 2*l + 3*p - 185 = 0. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0042 + -0.2958. Let f = -182.899 + 183. Let m = f + -0.001. What is the nearest to m in o, 22, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74482?\nAnswer: 2, 167, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 5, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101000110 + -121101?\nAnswer: -101121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1768 and 7450131.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -717 - -722. Suppose 0 = r*q - 4*o + 7*o - 16, -5*o - 5 = 2*q. Solve 3*c = 3*b - 2*b + 7, -c = q*b - 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -4)\/(-5) - -65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 0*j - 1500000 = 0. Round j to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j**3 + 0*j + 2*j - 3*j**3 - 2*j - 4 + 4 - j**3 + 3*j - 3*j - 2*j**3 + (0*j**2 + 2*j**2 + 0*j**2)*(-3*j - 3*j + 5*j) - 16*j**3 + 38*j**3 + 7*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 89. Let t = -67 + c. Put t, -3\/4, -2, 1 in descending order.\nAnswer: 1, -3\/4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n*s**3 + 611*n*s**2 - 364257*n*s + 28377*s**3 + 540*s wrt s.\nAnswer: 24*n*s + 1222*n + 170262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -662906*c**3 - 316461*c.\nAnswer: -3977436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4988.9, 5 in descending order.\nAnswer: 4988.9, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/14)*o**(2\/29)*(o**(-3\/7)*o)\/o**(-5\/11))**14 assuming o is positive.\nAnswer: o**(8399\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/(-35)*(-78)\/(-4). Find the first derivative of l*c**2 - 16*c**2 - 23*c**2 - 87*c**3 - 50 wrt c.\nAnswer: -261*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k + 18 = 0. Let w be (-59)\/5 + k\/(-30). Let v be -6*(w\/9)\/2. Calculate the greatest common factor of v and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4*n - 11, -3*w + 27043*n - 27040*n + 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + -1 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.02 * -297.\nAnswer: 599.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124125796*i**3*x + 15*i**2*x - 261786*i**2 + 8*i*x + 1 wrt i.\nAnswer: 744754776*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71388 (base 9) to base 15.\nAnswer: -ddbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -5, -61, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.74 + 22.6574521.\nAnswer: 19.9174521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 45*u**2 - u + 47. Let y be l(45). Solve -4*p + 3*p - 13 = -2*f, -31 = -5*f + y*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 52. Let n = 15 + 30. Let g = -20 + n. Solve -4*a + a + 2*i + g = 0, -5*i = d*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 666 + -674. Put v, 2, 4 in ascending order.\nAnswer: v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652977.\nAnswer: 3, 13, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2630 - 352411\/134. What is the closest to u in 5, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27679229211719424.00000027 + -27679229347871004. Let r = 136151576 + n. Let m = -4 - r. Round m to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 2*v**2 + 60*v - 1132. What is g(9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/3))\/o)\/o)**(-7\/5)\/((o*o**(-2\/3)*o)\/o)**(-7\/2)*((o**(-3\/2)*o)\/o*o**5)**(-15\/4) assuming o is positive.\nAnswer: o**(-1211\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 24. What are the prime factors of q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/2)\/k*k*k*k)\/k)\/(k\/(k\/(k*k**(-6)\/k)*k*k)))\/(k*k*k**(-2\/7))**(2\/47) assuming k is positive.\nAnswer: k**(6203\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.0879? (a) 0.1 (b) 6.97 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*j - 17, -j - 5*t = -2*j + 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 2*y**2 - y**2 + 125*y**4 - 123*y**4 in the form c*y**4 + r*y**2 + d + a*y + v*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {s: 4, r: 4, b: 2, y: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 237 and 0.018063?\nAnswer: 236.981937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(320)*-1 + sqrt(320) + 1 + -5 + sqrt(320) - (1 + -3 + (sqrt(320) - sqrt(320)*4) + sqrt(320)))**2.\nAnswer: 64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**7\/7 - 11*s**3\/6 + s. What is the second derivative of b(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 3:16 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-3)*24\/1440*36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - u**2 - 3*u + (-u - 1 + 1)*((-3 + 1 + 0)*(u + u + 6*u) - 4*u + 6*u + 0*u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let b be (2\/q)\/((-3)\/3468). Let d = -109 - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -7*g - 63. Suppose -t = -g*z - 1, -4*z + t = z - 2. What is the smallest value in -4\/9, -0.4, 0.2, z?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1506 - 1505.8. Which is the third smallest value? (a) -0.05 (b) 4 (c) 5 (d) q (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-20)*1)\/(115\/(14375\/150)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -863, -1695, -2525, -3353?\n\"Answer: c**2 - 835*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(833) - (1 + sqrt(833) + 3) - sqrt(833)) + 4)**2 + -2 + (-4*sqrt(833)*-4)**2*-4.\nAnswer: -831913 + 1120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -23 - 13*l**2 + 25*l**2 + 20 + 2*l - 9*l**2. Determine p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 - (-4 - (9 + -8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 226*s - 1392.\nAnswer: (s - 232)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -26. Let o be (-6)\/(-21) + 102\/k. Let a = -2 - o. Solve -3*m + 5 = a*p, 2*m + 3*p = 2*p + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = -5, 0 = 2*q + 2*f + 12. Put q, -3, 5 in ascending order.\nAnswer: q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 599*v - 298*v - 303*v. Let w(c) = c - 2*c - 3*c. What is i(w(y))?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25317406 and -189.441.\nAnswer: 25317216.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = c + 6 - 28, 101 = 3*c + 4*j. Calculate the remainder when c is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1570611*n**4 - 316677?\nAnswer: 6282444*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11778122009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Suppose q = h + 8. Factor 0*k**4 - 2*k**5 - k**4 - q*k**4 - 20*k**3 - 10*k - 2 - 20*k**2.\nAnswer: -2*(k + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 + 263 = 42537*v - 42580*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 2\/5, 581816, -2.5, 0.3.\nAnswer: -4, -2.5, 0.3, 2\/5, 2, 581816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59754.10674 rounded to the nearest 10?\nAnswer: -59750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737747 (base 9) in base 13?\nAnswer: 407644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2\/13, -16 in descending order.\nAnswer: 1, 2\/13, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 16. Suppose 15 = -t + x*t, 5*y = 3*t. Solve 5*r = -2*u - 2*u - 15, -3*r - 9 = -y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5)*15\/18\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5670316914 and 666.\nAnswer: -5670316248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 15. Suppose -u + d = 2*u. Suppose -l + u*l = -4*r + 34, 0 = -3*r + 2*l + 8. Calculate the greatest common divisor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z - 1\/21*z**7 - 11*z**2 + 2\/3*z**4 + 2\/15*z**5 - 1\/168*z**8 + 0*z**3 - 1\/10*z**6 + 0. Factor m(b).\nAnswer: -2*b*(b - 1)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:27 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*k - 105*k + 7990 = -29014 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 + u - 1. Let d(b) = -2*b**3 - 3*b**2 - 5*b + 10. What is -d(f) - 6*x(f)?\nAnswer: -4*f**3 - 3*f**2 - f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705356 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 122301103 (base 5) to base 2\nAnswer: 10001111011110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 + 2. Let c be g(-4). Suppose -c = 4*t + 2. Let p be 4\/(-10) - 5\/((-2325)\/141). Do t and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 16*v**2 - 10*v + 13. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 51 = -5. Factor 3\/4*i**3 + 3\/4*i**4 + 0 + 0*i + 1\/4*i**5 + 1\/4*i**j.\nAnswer: i**2*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oioo when four letters picked without replacement from {i: 9, o: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**3*q**4 - 2*o**3*q**2 - 1436*o**3 + q**4 - 286*q**3 wrt q.\nAnswer: -72*o**3*q + 24*q - 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/4 (b) 86 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2350056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 426\/27 - 4\/(-18). Suppose -r = -4*l - 0. Let k(y) be the third derivative of y**5\/60 - y**4\/4 + 5*y**3\/6 + y**2. Calculate k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204851562187 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 3187671845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.64561 seconds to microseconds.\nAnswer: 21645610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 6*n + 0*n)*(n**2 - 2*n**3 - n**2) + (0*n**2 + n**2 - 4*n**2)*(-25*n**2 - 24*n**2 + 3*n**2) + (-n - 2*n + 5*n)*(12*n - 12*n - n**3).\nAnswer: 142*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414 and 633816.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 6. Let k = -0.04 - 0.16. What is the nearest to -1 in i, k, -13\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 0.3, -0.08, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + 1. Let n be 1331\/363 + (-58)\/(-3). Solve 0*l = 2*f - d*l - n, 24 = 3*f - 4*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:28 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 + 26676*c**3 + 88630434*c**2 - 2138668272*c + 12855099168 = 0. Calculate c.\nAnswer: -6681, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x**6 + 0*x - 1\/3*x**4 - 1\/5*x**5 + 2\/105*x**7 + 0*x**3 + 0 - 32*x**2. Let i(o) = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)\/v**(-2)*v**(8\/5))\/(v**(1\/24)\/((v*(v*v**1)\/v)\/(v*v**3*v))) assuming v is positive.\nAnswer: v**(-293\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**2 + 1 - 2*x**2 + x**3 - x + 2*x**3 - 2 - x**4 - 6*x**2 in the form f*x**4 + m + s*x**3 + w*x**2 + r*x and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7348? (a) -4 (b) 9 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3297\/4343 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 6*k + 4. Is l(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from gohcfob.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 - 28 - 34 - 23 + 34*c to the form s*c + f and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -533*d**5\/20 + d**3\/6 + 31*d**2\/2 - 356*d - 2. What is the second derivative of u(t) wrt t?\nAnswer: -3198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3635997.9 and -52795.\nAnswer: 3583202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.6. Let m = 51839\/35 - 6472\/5. Let n = -187 + m. Which is the smallest value? (a) z (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/20 + 2*b**4\/3 - b**3\/6 - 2*b**2 - 2*b. Let t be m(-8). Factor -t*d**2 + 3*d + 6*d - 5*d.\nAnswer: -4*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2285769 to 2 dps.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(2 - 10\/25)\/2. Solve 4*c + 2*c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 times 10.447?\nAnswer: -126.4087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 17*h - 156 = 0. Which is smaller: h or -158\/33?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u + 19. Let w be c(-5). Let i be (0\/w)\/(-1 + -1). Is 1 - (-2 - i)*(-67)\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 - 121. Let t(y) = -4*y**2 + 60. Let h(x) = 2*x**2 + 16*x - 5. Let k be h(-8). Let m(d) = k*t(d) - 3*f(d). What is the units digit of m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 17*u - 16. Let a be p(-16). Suppose -v - 67 = -3*n, 2*v + a = -2. Calculate the least common multiple of 18 and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 813*v - 412*v - 401*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/45 + 6\/(-10). Let z be (-477)\/(-9) + l + -3. What is the highest common factor of z and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-1 + 2 - 2)*((1 + 5 - 4)*(2*q + q - 2*q) + 5*q + 7 - 7 + 5*q - 8*q - 6*q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (200\/150)\/((-2)\/6) + 7. Let n(w) be the first derivative of -1\/4*w**p + 0*w - 4 + 0*w**2 - 3\/20*w**5 + 3\/8*w**4. Solve n(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35\/703 - -235365\/2812. Let x = y - 85. Let t = -2\/9 - 4\/9. Which is the second biggest value? (a) x (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s - 15. Let l(f) = -f**3 - 5*f**2 + 37*f - 4. Let r be l(4). What is z(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 10 + 42*x - 18 to the form g*x + r and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*5\/(-105))\/(601\/66711)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a - 2*x, 0 = -0*x - x + 5. Let j(k) = -k + 2. Let g be j(0). Suppose g = 2*c - c. Which is greater: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163? (a) -3 (b) 0.3 (c) -225 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 2 d when four letters picked without replacement from {q: 1, m: 7, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 5*z + 21, -z = -3. Let k = -22106 - -22116. What is the least common multiple of u and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/178 and -199\/7560?\nAnswer: 672840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/68725? (a) -0.2 (b) 11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 14*q - 78. Let z = 139 + q. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 22. Solve -o = 4*b + 12, z*o = 5*b + 4*o + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 20*q - 23*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2659*-1.\nAnswer: 2659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**9\/6048 + 11*f**8\/1008 + f**7\/144 + 39*f**3 + 153. Let b(l) be the third derivative of r(l). Factor b(v).\nAnswer: 5*v**3*(v + 7)*(3*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -3 (b) 1531 (c) 2 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35723109 minus 0.2?\nAnswer: 35723108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 602768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqhhqhh. What is prob of picking 4 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 31*l - 103. Let u be h(4). Solve u*k + 4 = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 4, n: 5, x: 1, g: 1, b: 1}. Give prob of sequence cgxz.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 8. Let t be m(-5). Suppose -r - 3*q + t = 0, -r + 17 = 5*q - 3. What is the third smallest value in 0.2, r, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 90*n**2 - n - 1. Suppose -4*q + 2*p = 2, 0 = -q + 2*p - 0 + 1. What are the prime factors of g(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3210, 6423, 9636?\nAnswer: 12849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (10 - (-63 + 17 + -26))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2 + 0*w - 3*w + 3. Let l = 74 - 72. Determine m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + -1111001101?\nAnswer: -1101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {s: 2, p: 2, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/6 - y**2\/2 - y\/3.\nAnswer: y*(y - 2)*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 1 + 1 + ((c - c + 2*c)*(-5 + 1 + 2) - 5*c + 3*c + 0*c)*(57 + 15*c**3 - 57).\nAnswer: -89*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 2*d + 2154*d**2 - 2146*d**2 - 3*d - 2*d as n*d**2 + p*d + z and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 103 = -17*f. Let y be (-45)\/(-2)*8\/10. Let n = f + y. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/23)*(b*b**(-3\/2)\/b)\/b)\/(b**(-1\/5)\/((b*b**(13\/3)*b*b*b)\/b*b)))**1 assuming b is positive.\nAnswer: b**(4223\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 0.2, -3, -302\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1118 and 156.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2530 (base 10) to base 4.\nAnswer: 213202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6 + -5*133\/1710?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*m + 13. Let g be (-54)\/(1 - m) - 2. Suppose -5*k + 5*b + 39 = -g, 0 = 4*k + 3*b - 65. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o**2 - 31*o**2 + 2*o**4 - 35*o**2 + 4 - 2*o**3 - 2*o + 119*o**2 - 32*o**2 to z*o**2 + n*o**4 + s*o**3 + d*o + b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7, -8, -53, 4 in descending order.\nAnswer: 7, 4, -6, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**3 - 654*d**2 - 17102*d - 272171624 wrt d.\nAnswer: -12*d**2 - 1308*d - 17102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:04 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 68 = 276. Calculate the lowest common multiple of z and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301924671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 - d + 19*d - 18*d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 69, 4, 161, -4860 in increasing order.\nAnswer: -4860, -3, 1, 4, 69, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*d + 4146 = -24218 - 14278 for d.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ooopoocopppzczppoo?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -220212111?\nAnswer: 220212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = p + 21, -5*h + 15 = 0. Let z(i) = -11*i + 5. Let j(r) = 39*r - 18. Let f(c) = p*z(c) - 5*j(c). What is the units digit of f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 7, -18?\n\"Answer: -25*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 + f**2\/2 - 42*f + 178. Find z such that o(z) = 0.\nAnswer: -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1964 - 170 = 0. Let n = 1704 + z. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141835 (base 12) to base 7.\nAnswer: 2562536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -1. Suppose -c*h = -5 - 3. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1189, -2361, -3495, -4573, -5577, -6489, -7291, -7965?\nAnswer: -8493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2142378137628 - -28\nAnswer: -2142378137600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 625 - 425. Let y = 417 - u. What is the remainder when y is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.5768.\nAnswer: -0.23072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374299 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 22 = -0*i. Let u(h) = -9 + 25*h - 4*h - 6*h. Let n(k) = 8*k - 5. Give i*n(o) - 6*u(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6087 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*h**4 - 47677*b*h**3 - 14*b*h + 8*b + 2*h**3 - 9*h - 3 wrt h.\nAnswer: -24*b*h**2 - 286062*b*h + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-2 - -5) - -4. Suppose -157*i + 160*i - 18 = 0. Solve -2 = -o*r - i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -3*g + g, g - 2*p - 8 = 0. What are the prime factors of 98 - g*(-1)\/2 - 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94296?\nAnswer: 2, 3, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*k - 26, -5*a - k = -2*k - 31. Factor v**4 + 2*v**4 - a*v**4 + 3*v**2.\nAnswer: -3*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 30 - 416. Let v = -190 - h. Solve v*z = -2*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1592321\/93 + 17120. Let t = -2\/31 - x. Let g = 0.01 + 0.05. What is the biggest value in 0, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 164\/6 + (-4)\/(-6) + -3. Solve -4*l = l + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 2. Let p(b) = -4*b - 5. Let x(f) = -2*p(f) + 5*s(f). Suppose 30*a = 28*a + 8. Let u(k) = -k - 6 - 2 + a + 1. Determine u(x(r)).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = 2*r, 0 = r - 37 + 32 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*l - 0*s + 6, -l = -5*s - 10. Suppose -i + 14600 = -l*i. Round i to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 40*u**2 + 14*u - 13. Let t be h(9). Suppose -2*v + 2234 = -g, 0 = -6*v + 3*v + 2*g + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -29, 3, 5, -3 in decreasing order.\nAnswer: 5, 3, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-45))\/6*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.2 + 2.3. Let n = -4.25 + 6.15. Let z = l + n. Which is the closest to 0? (a) -2\/9 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-608)\/24)\/((-4)\/30). Suppose -5*u + 80 + b = 0. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.92, 6\/719, -1\/13?\nAnswer: 6\/719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {o: 5, d: 11, z: 2, u: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -76516413 >= -76516413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 94 = 3*y, -2944*y + 2948*y - 94 = -2*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04560753 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 8 + 8. What is the hundreds digit of 5174\/(-39)*3\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163250212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let i(p) be the third derivative of p**7\/1008 + p**5\/30 - 3*p**2. Let w(l) be the third derivative of i(l). What is w(j(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 61 + 71 = 0. Solve -2*u - f*m = u + 5, m + 5 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m*m\/((m**(-3)\/m)\/m)*m)**(-2\/29)\/(m**(-6)*m\/m**(1\/4)*m**(2\/9)*m**(2\/19)) assuming m is positive.\nAnswer: m**(99011\/19836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1302 + 19538\/15. Is q less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5 - 308*t**4 - 4584*t**3 - 19432*t**2 + 27244*t + 242844 = 0?\nAnswer: -59, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1952828 and 86?\nAnswer: 1952742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 3*u - 3*u + 30 + 33 to the form v*u + n and give n.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.0166km in micrometers?\nAnswer: 672016600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -3 + (-15)\/(-10) + 1. Let y be ((-14)\/(-21))\/(2\/6 + 2). What is the closest to x in y, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 - 18483.84.\nAnswer: -18456.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - 9*o + 6. What is a(-7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-18)*3 - (-10)\/3. Suppose -414 = g*l - 12*l. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 576*z - 3632*z - 227*z to y + r*z and give r.\nAnswer: -3283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66142484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 3a0?\nAnswer: -39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 229\/4 + 54880\/(-980).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/52 + 35\/(-28). Which is the closest to o? (a) -1 (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235078074 to the nearest integer?\nAnswer: 47277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtftjfbbubdf. What is prob of picking 2 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11225 is divided by 1749.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*k - 69, -2*k + k + 72 = -3*h. Let j = h + 48. Let t = j + -13. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1647 equal to -1647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 688004699 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**2 - 102*f*p*v**2 - 2*f*v**2 + 3*p*v + 45*p + 39*v**2 wrt f?\nAnswer: -14*f - 102*p*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937660893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 6, l: 2, x: 1, e: 2}. Give prob of picking 1 e and 1 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1003 (base 6) to base 3\nAnswer: -22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.108 - -0.608. Let p be 2 + -1 + (-12)\/10. Which is the second biggest value? (a) f (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 265*f**3 - 526*f**2.\nAnswer: -f**2*(f - 263)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15012 - 15011.9. What is the closest to -0.1 in -7\/6, -2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34023050 (base 6) to base 8\nAnswer: -3733106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4*5*(5 + -2*sqrt(11)) + 2)*4)**2.\nAnswer: -128000*sqrt(11) + 441600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaad. What is prob of sequence aaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**3 + 6*k**2 + 3*k + 3. Is 9 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-1*-1 - ((sqrt(245)\/sqrt(5) - sqrt(49)) + sqrt(49))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004752663 to 7 decimal places.\nAnswer: 0.0004753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {r: 14, l: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 4 + (-4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -293*q**3 - q**2 - 493. Let p(v) = v**3 - 8. Let h(o) = 2*p(o) - y(o). Differentiate h(l) with respect to l.\nAnswer: 885*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334109.5516 - 1.1\nAnswer: -334110.6516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 67*l**2 - 4 + 39*l + 23*l + 65*l**2 to a + p*l + y*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(1 + 0)*4. Let g(n) = -n**2 - 7*n + 8. Let j be g(h). Solve 5*q + 2 - 7 = j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 12*l**2. Let k(m) = 32*m. Calculate k(w(b)).\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - 2*t + 1268 = 0, 4*k = 4*t + 1268. List the prime factors of k.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1096 at most as big as -1396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*y + 142*y + 163*y**2 - 678*y**2 to n + o*y + b*y**2 and give b.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1630\/7 - -232. Which is the second biggest value? (a) 0.09 (b) z (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318664.\nAnswer: 2, 61, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-3555)\/(-60)*185\/((-22015)\/(-238))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 < 244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 - 20*s**2 - 136*s - 26. Let k be r(9). Suppose 2*z + 2*c - 94 = -2*c, 163 = 3*z - 5*c. Solve -d + k = z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**4\/12 + w**3\/3 - 7*w**2. Let g be o(2). Let i = g - 11. Is -11 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230481 is divided by 3544.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11549*r**2 + 68*r + 8333939.\nAnswer: -23098*r + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -42, -245, -730, -1617, -3026?\n\"Answer: -20*l**3 + 39*l**2 - 18*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1014 + 14163\/14. Find the common denominator of -85\/186 and w.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/5 + -9\/10. Let u be ((-8)\/34)\/(1 + -3). Let l = 10 - 12. Which is the nearest to g? (a) u (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*x + 11*x**3 - 41*x**3 - 5 + 5 + 28*x**3.\nAnswer: -2*x**3 - 127*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = v - 3*u, -10*v = -14*v - 2*u + 4. Which is the closest to 5? (a) v (b) 1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6)*78\/65. Let z(j) = -d*j**2 + 2*j**2 + j - 4*j**3 + 3*j**2. Does 17 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j = -5*d + 96*j + 140, -168 = -6*d - 2*j. Solve 19 - d = 9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9240 - 3317162\/359. Let x = -2922\/8975 - j. Find the common denominator of 119\/20 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + -45. Let q = 91 + n. What is the smallest common multiple of 3 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (122\/(-8))\/((-1)\/(-12)). Let a = 556 + b. Calculate the remainder when a is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:00 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, 1, 0, -1, 15 in descending order.\nAnswer: 15, 9, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58204 is divided by 327.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -152*o - 146*o + 303*o, -5*c = 11*o + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0363097 * -0.2.\nAnswer: 0.00726194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15.12. Let b = l + -0.02. What is the closest to b in 4, 0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/20*0)\/(4\/(-4)). Solve 13*c - 7*c + 18 = y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 3*t**4\/16 + t**3\/4 - 3*t**2\/8 - 3*t\/4 - 163. Factor b(i).\nAnswer: 3*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15 and 7\/26640.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 1.79 (c) 3\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*a = -25, -2*a + 4*a - 10 = 3*s. Put -7, s, -1 in decreasing order.\nAnswer: -1, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 1 = -d + 9, -4*i + 4 = 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpwsw. What is prob of picking 1 g, 1 s, and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 7 + (0 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = -5*w, -w = 6*f + 234 - 207 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 8*q - 1516. Let l = q + -53. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -1, 3, 10, 0, 2.99?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 41*y = -234. Suppose -y + 14 = 8*p. Sort p, 13, -3.\nAnswer: -3, p, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -8, -11, -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 3 - 21*y**2 + 34*y**6 - 199*y**2 + 44*y**6 + y + 11*y**6 wrt y?\nAnswer: 10680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112019, -448362, -1009035, -1794038, -2803371, -4037034?\n\"Answer: -112165*n**2 + 152*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -5 + 15)*1. Let h(y) = -y**3 + 14*y**2 + 4*y - 6. Let s(g) = g**3 - 14*g**2 - 5*g + 6. Let z(o) = 3*h(o) + 2*s(o). Is z(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + 66. Suppose 0 = 2*v - 4*v - w + 2, -5*w + 10 = m*v. Suppose -5*i + 2*y = 46, v*i + 2*y = -i - 14. Which is smaller: i or 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052294 rounded to the nearest one thousand?\nAnswer: 1052000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 2*w + 2*w + (2 - 5 + 0)*(3*w - 4*w - w) - 10*w - 56 + 56 as s*w + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7243*a**2 + 7243*a**2 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*b - 0, 2*j + 5*b = 67. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 = 5*v. Suppose -22 = -5*p + d, d - 22 = -v*p - 4. Solve p - 10 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -11. Let g = t + 14.993. Let i = g + 0.006943. What is i rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8605078, 17210136, 25815194, 34420252, 43025310, 51630368?\nAnswer: 60235426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -84 + 363?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 + -131. Let h = u - 98. Calculate the remainder when h is divided by (-3 - -1)\/(1\/(-8)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + 0*r**3 - 2*r**3 + (-5*r + r + 3*r)*(-r**2 + 0*r + 0*r) - 25*r**3 + 28 - 28 + (r + 2*r - r)*(2 - 2 + r**2).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 3\/5 (b) -241 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9002, 36009, 81020, 144035, 225054, 324077, 441104?\n\"Answer: 9002*z**2 + z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 15*h - 13. Let a be t(-10). Suppose -4*w - l + a = -14, 0 = 2*l - 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 5, 5.16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -2672\/15?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntnnnntnntnnttt. Give prob of picking 2 n and 1 t.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-288)*4*-5*(-14)\/63?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Suppose g - 2 + n = 0. Let k(p) = -p**2 - 13*p - 9. What is the least common multiple of g and k(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2\/3*f**2 + 2\/9*f**3 + 6 + 0*f. Determine n so that p(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51629\/105 - -2459\/5. Which is the closest to 0? (a) -5\/14 (b) 5 (c) p (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 31695414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 13*y + 18*y - 5*y + 7*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 646\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(1\/3 - (-1 - -1)). Which is the closest to h? (a) 3\/7 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**33\/m)\/(m**(-2\/37)*m) assuming m is positive.\nAnswer: m**(1149\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 86*l**5\/5 - l**4\/4 + 3749*l - 1592. What is the derivative of y(v) wrt v?\nAnswer: 344*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 9:41 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19776*q - 168 = 19755*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -6, 4*n + 2 = -2*s - 2. Suppose -b = 2*b - 18. Suppose -2*x - s + b = 0. Solve -4*l - x*j = 20, -l - 6 = -5*j - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u - 2 + 0 + 5 - 7*u in the form k*u + b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 641665 - 10908273\/17. What is w in -104\/17*w - 64\/17*w**2 - d - 10\/17*w**3 = 0?\nAnswer: -4, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 237 + 3\/9*9. Suppose 4*z = -d - 0*d + n, 3*z + 3*d - 180 = 0. What is the remainder when (1*z - -3)*(-6)\/(-7) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205733291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883 + 2*a**3 + 440 + 443.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44067 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 6*h**3 + h - 5*h**3 - 4*h**2 - 12 as i + b*h**2 + c*h + z*h**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/30)\/(3\/2). Which is greater: 0.13 or m?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * -0.24613\nAnswer: 0.0443034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19742, -19770, -19824, -19910, -20034?\n\"Answer: -q**3 - 7*q**2 - 19734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29888 by 2.\nAnswer: 14944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.46 + -137. Round p to 1 dp.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtm when three letters picked without replacement from {m: 6, t: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -1, -4 in ascending order.\nAnswer: -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309*v + 46*v**2 + 67*v**2 + 310*v + 38*v**2 + 2 to the form i*v + n + d*v**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*j - 314*j - 316*j + 1326*j - 316*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 - -741\/5. Let h = -434\/75 - w. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62768 - 170314 = -3378*c for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(60*2\/18*555\/(-2405)).\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*y - 15524520 = -1069*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s + 15, 3*f + s - 738 = 0. Let d = 1002 - f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -129*v + 9002. What is the remainder when 1870 is divided by w(68)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpvvzpzv. Give prob of picking 2 z and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 1\/21*l**6 + 0*l**2 - 1\/14*l**4 + 9 - 2\/35*l**5 + 2\/21*l**3 + 0*l. Let i(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/30 - w**4\/24 - 2*w**3\/3 + 4*w**2 + 4. Let n = -138 + 102. Let a be 20\/9 + 1 + 8\/n. What is p(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 10272*f + 4108.\nAnswer: (f - 2054)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 20*m**2 - 509*m + 10249. Determine y(22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4487 and 995473.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3*160\/(-120)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4)*6 + -3*(1 + sqrt(3)) - (sqrt(108) + 5 + sqrt(108))*-3)**2.\nAnswer: 936*sqrt(3) + 4707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/204*2898\/140*(4\/6 - 2)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -510 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, n: 2}. What is prob of sequence ln?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/2226 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0665 * 7\nAnswer: -0.4655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m. Let l(g) = g**2 + g - 1. Let y(w) = -w**2 - 2*w + 2. Let v = -11 + 5. Let a(x) = v*l(x) - 3*y(x). Give a(u(d)).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 265181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -39.7409 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0 - 1\/660*x**6 + 0*x + 6*x**2 - 1\/165*x**5 - 1\/132*x**4 + 0*x**3. Factor z(v).\nAnswer: -2*v*(v + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -19. Suppose o + 0*o - 7 = m. Suppose o*h - 2*h = 5. Solve 3 = -4*y - h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**2 - 2*v + 2. Let u(w) = 4*w - 35*w + 117 - 86*w - 428*w**2 - 443*w**2. What is -117*d(f) + 2*u(f)?\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -28*w**5 + 216*w**4 - 540*w**3 + 432*w**2 = 0.\nAnswer: 0, 12\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*u + 1137*u - 3 = 0, 1 = -4*q + 9*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -432.6, -3, -0.08, 2\/9 in descending order.\nAnswer: 2\/9, -0.08, -3, -432.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 970, 969, 968, 967, 966, 965?\n\"Answer: -f + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 78.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 132103243, 264206488, 396309733?\n\"Answer: 132103245*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a + 8. Let y be o(0). Let c(l) = l**2 - 8*l + 1. Let s be c(y). Suppose 2*x = 2*d - 3*x + 15, 0 = -2*d + 2*x. Solve -d*b + 4 = -s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6378*f - 6382*f - 6385*f - 6381*f + 38301*f - 6389*f - 6385*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-2)*(-296)\/(-222).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1, p: 2, e: 2, n: 1, b: 3}. What is prob of sequence ce?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486513.\nAnswer: 2486513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*h - 3 + 13, 8 = -m - 3*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 32*i - 210. Let a be r(10). Solve -2*v + 5*h = -8, 4*v + 0 = -3*h - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-22 - -14) - (-11 + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/70 + (-38)\/(-133)*-4.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/85 and 2\/27183.\nAnswer: 135915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnvnrrvdardv. What is prob of picking 2 n, 1 d, and 1 m?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + -4.9. Let t(s) = -2*s**2 + 3*s - 3. Let v be t(2). Which is the nearest to -2\/7? (a) -1\/3 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + -2 + (-1125)\/(-27)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3*i - 3*r + 5688 = 0, 4*r + 16 = 0. What is i rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -5 (c) -131 (d) -1 (e) 40 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 0.3918 times 4\nAnswer: 1.5672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 0, 2*o - 7*o - l = -30. Let s(i) = 13*i - 1 - o*i + 4*i - 10*i. Let f(r) be the third derivative of r**4\/12 - r**2. Give f(s(a)).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0 + 2*r + 2*r**2 - 1\/10*r**6 + 0*r**3 + 0*r**5 + 0*r**4. What is the derivative of h(x) wrt x?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238692 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 2, w: 2, q: 5, s: 10}. Give prob of picking 1 q, 1 s, 1 z, and 1 w.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:44 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jky when three letters picked without replacement from tuyjtattattakajty?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -212213 (base 5) in base 3?\nAnswer: -100212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/4*1*3. Let s(p) = 11*p**2 - 14*p - 38. Let u(g) = 5*g + 2. What is the remainder when s(t) is divided by u(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) - (-14 + 13). Let n be (-17 + (-2)\/a)\/(-1). Let s be (115 - 1)*2\/3. What is the highest common divisor of s and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*a + 5184 = 111*a. Factor -142*i + 135*i**4 - 78*i - 405*i**3 + 450*i**2 - 824 + a.\nAnswer: 5*(i - 1)*(3*i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*u**4 + 22*u**4 - 13*u**4 + 26*u**2 + 5*u**4 + 31 - 22*u**2 wrt u.\nAnswer: 164*u**3 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o + 114. Let r be h(10). Which is smaller: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, -3, 26, 2503 in decreasing order.\nAnswer: 2503, 26, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11906311*h = 11906288*h - 598 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -315*x**2\/2 + 3153*x - 60 = 0. Calculate x.\nAnswer: 2\/105, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 3*m**2 + 119*m + 9674. Let s(a) = 4*a + 79. Determine -5*b(c) + 7*s(c).\nAnswer: -2*c - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 101.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943115 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbxjx. Give prob of sequence jb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79.78 - 37.61. Let x = g + -42. Let q = -1.17 + x. Which is the nearest to 0.1? (a) q (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 295804.7l?\nAnswer: 295804700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -11 + 8 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 + 203112*p - 5156810568 = 0.\nAnswer: 50778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.91166mm to nanometers.\nAnswer: 62911660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 22 - 5 - 17.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44)\/8 - -4)*-2. Suppose -2*x = 0, -7*x = c*m - 2*x. Solve m = 4*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 9*j - 47. Let i = 15 - 1. What is the hundreds digit of f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) -202 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1022.655 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 7*g**2 - 8*g + 114. Give b(7).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -445\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-48)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -712007263 rounded to the nearest 1000000?\nAnswer: -712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/197 (b) -2\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007332038444 rounded to five decimal places?\nAnswer: 0.00733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h + 7. Suppose -c - c = 0. Let v be o(c). Suppose 64 = v*u - 3*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -0.097807564?\nAnswer: 2.902192436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r. Let a(i) be the third derivative of 0 + 0*i**3 + 0*i + 1\/24*i**4 + 7*i**2. Determine y(a(q)).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000473928 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -1381, -2072?\nAnswer: -2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -308069*z. Let x(h) = -5*h. Give k(x(y)).\nAnswer: 1540345*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141636 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7 or 10019?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1433, 3013, 4593, 6173?\n\"Answer: 1580*g - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + 0*q - 2*q)*(-5 - 5 + 0) + 0 + 0 + q)*(0 - 2*q + 0).\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 46*w - 1 = 0. Are -6\/17 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*r + 2*r + 10, 0 = -5*s + 4*r + 14. Let x(q) = -q + 10. Let g be x(9). What is the remainder when 2*(2\/2 + g) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8807370 divided by -390\nAnswer: -22583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 0, -4*r = -4*f - 0*f + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4 + 3 + 8 + 3*t. Let n be 4\/3*(5 - (5 + (-33)\/(-11))). Let k(f) = -f - 2. Determine n*w(s) - 14*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-108)\/(-24))\/((18\/1288)\/3)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 32, 8, -0.64, -9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from corococogoog.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -129 - ((10 - 356) + 147)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/5 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27385.3 and 2.52.\nAnswer: -69010.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 11*a**2 + 2*a + 4. Let r be o(11). Suppose 2*g - 18 - r = -4*s, -5*g = -10. Sort s, 3, -5 in descending order.\nAnswer: s, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1403735*a + 5*p = -1403736*a + 131, -3*a - 5*p + 123 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -5 (c) -0.1 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1352 - 1330. Solve -5*m - 5*p = -b + 12, 0 = -5*p - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**5 + l**3 - l**2 - l - 1. Let n(t) = -12*t**5 + 27*t**4 + 34*t**3 - 146*t**2 + 92*t + 5. Let s(p) = 5*f(p) + n(p). Find u such that s(u) = 0.\nAnswer: -3, 0, 1, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -13067\nAnswer: -3\/13067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 18*i**2 + 21. What is the remainder when 76 is divided by m(-18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Suppose l*k + 10 = 6*k. Solve -j + 19 = k*y, -12 = -4*y - 0*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Suppose -o - 3*w = -10, o - 2*w - 10 = w. Let m = 9 - o. Let i(a) = -13*a. Let k(j) = m*i(j) + 6*c(j). Let f(n) = n**2. Calculate f(k(d)).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 5\/(4 - (-21)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4805 divided by 7505.\nAnswer: 961\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o - 571 = 44*o - 2191 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2877842 and 1144.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**3 + 63*a**2 - 45*a - 111. Let c(m) = m**3 + m**2 - 2*m - 3. Let f(o) = b(o) + 9*c(o). Let f(q) = 0. Calculate q.\nAnswer: -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 1. Let l = 17 + -18. Let g(h) = 4*h + 1. Calculate l*g(w) - 2*x(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100)*2)**2*-5.\nAnswer: -88000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 224.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-30)*u**(-7\/5)\/u*u)\/(u*u**1*((u\/(u*u**(3\/5)))\/u)\/u) assuming u is positive.\nAnswer: u**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411607 is divided by 411597?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Let v = -127 + 127. What is the third smallest value in y, 0.03, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11313858, 1, 0 in decreasing order.\nAnswer: 11313858, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 2*c - 2*c + 32 - 33 + 6*c as x*c + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178754310 by -283737.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*w - 276 - 235*w + 67*w + 65*w + 14*w + 276.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11115331 (base 6) in base 13?\nAnswer: ba442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 129. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -786*p**3 + 3*p**2. Let i be b(2). Let g = i - -4346. Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**24)**(2\/21) assuming c is positive.\nAnswer: c**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400535674 and 2618?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005499994 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(85) - sqrt(85)))\/sqrt(5) - sqrt(85)\/(sqrt(25)\/(1*sqrt(5))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**2 + 23*l + 73. Give s(-7).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 137542763?\nAnswer: -137542757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10043024 is divided by 834?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1234 and 14\/53813.\nAnswer: 66405242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -95*n + 67*n - 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 25, -7*o = -3*o - s + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllrhnlnlmr. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351282679?\nAnswer: 3, 167, 1564393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)*r)\/r*r**5*(r**9*r)**(-13))**(-30) assuming r is positive.\nAnswer: r**4020","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741 and 390?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 36671074?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.5966 or -149\/3?\nAnswer: -149\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f - 19. Suppose 0 = p - 2*l + 56, 0 = -30*p + 25*p + 2*l - 248. Let u = f - p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 568845.9mg?\nAnswer: 568845900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2 + 6 + -3). Let h be 1\/((m\/3)\/(-1)). Solve 7*s - 2*s + h*b = -10, -2*s = -2*b + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/189)\/((-2)\/(-6)*12\/(-42))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(4\/5)*i)\/i)\/((i**(11\/6)*i)\/i) assuming i is positive.\nAnswer: i**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837991?\nAnswer: 7, 11, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*u - 469*u - 544474 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1165538 and 4499?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 911551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1258 and 50\/43.\nAnswer: 54094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*21\/14*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 177, 248, 333?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307799112*p**2 + 59225996*p.\nAnswer: -615598224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 + 167. What is the remainder when 441 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -145\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10337100 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d**2 + 13*d**2 - 7*d**2 + 5*d + 13*d**2 - 4. Let x be h(1). Is 21 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15958*b - 310002 + 636638 = -806382 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-6 - (-9 + 3) - -4) + 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/60*(-5)\/(-2). Is (-33)\/(-9) - 5 - 16574\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 8*o - 2*o + (-5 + 8 - 8)*(-4*o + 5*o + 0*o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-27 + 28 + -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(3) - (-4 + sqrt(12)\/sqrt(4)))**2 + 0 + 5 + (sqrt(60)\/sqrt(5))**2).\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1608317 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.2 - -6. Let n be (-130)\/200*5 - -3. Sort -0.5, n, 4, h in descending order.\nAnswer: 4, h, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -3. Let v be (c - 0)\/((-1)\/11). Let s = 52985 - 52981. Solve -i - s*h = -5*i + 4, 0 = i + 5*h + v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1870 - -4809. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcwg when four letters picked without replacement from kkcwkcgkg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 7*z - 5*n - 181, -8 = 4*n. Is -57 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208260 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1\/2*h**3 - 3\/8*h**4 + 0*h + 0 + 4*h**2 - 1\/60*h**5. Let y be q(-8). Solve y*o = 3*j - 10 + 50, -2*o - 3*j - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/54 + (-300)\/(-108). Find d, given that 4\/3*d**2 + 1\/3*d - 2\/3 + 1\/3*d**5 - 2\/3*d**x - 2\/3*d**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - ((20 - 6) + -45 + 39).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6249 - 2431 = 557*u - 11221 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19*c)\/c*c**(3\/11)*c**(6\/19)*c**(-5\/8)\/c assuming c is positive.\nAnswer: c**(30035\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4465788 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 13) to base 8.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j - u + 26, -4*j + 44 = -5*u. Suppose 0 = 2*a + 2*h - 3*h - 18, 4*h - 5 = a. What is the remainder when a is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -p + 5*p. Calculate the greatest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 33*v. Let j(w) = 4*w + 20. Let p(l) = 1. Let n(s) = j(s) - 20*p(s). What is g(n(b))?\nAnswer: 132*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gegqqbgqgugeg. Give prob of picking 1 b, 1 u, and 1 q.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-15)\/375)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001745 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 0*p**3 + 0*p**3)*(2*p + 4 - 4)*(-2 + 0 + 4).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-276)\/(-16))\/(2\/8). Let k = o + -534. Calculate the common denominator of 17\/4 and k\/18*(-8)\/(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - -2.868. Let x = f + -0.16799532. Round x to seven dps.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 242, 112, -142, -562?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -7 (c) -0.023 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c**3 - 507*c**2 - 1530*c - 351 = 0.\nAnswer: -39, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 7 - (1 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:16 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -240 and -239 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(1452) + -2*sqrt(1452))) + -2*-1*sqrt(243) - (3*sqrt(3)*2 + -5 - (1 + sqrt(12) + sqrt(9)\/sqrt(3) + -1)))**2.\nAnswer: 390*sqrt(3) + 4588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 2118*c\/13 - 9940.\nAnswer: -2*(c - 994)*(c - 65)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249930530 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(90 - 90 - 59*m).\nAnswer: 59*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r)*(5 + 6 - 1 + (4 + 1 - 3)*(-2 + 2 + 1) + 0 - 1 - 1 + 0 + 2 + 0 - 5 + 3 + 3 + (-3 + 3 - 3)*(0 - 2 + 1)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 374764756 from 10.\nAnswer: -374764746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*v = 190, 4*a + 151 + 194 = 3*v. Let g be a + ((-63)\/18 - (-15)\/(-6)). Is -96 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 22*r + 96 = 0. What is l in -9*l + 15*l**2 + 1 - r*l**2 + 5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24960 is divided by 861.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l**5 - 106776*l**2 + 304919*l - 1?\nAnswer: -280*l**3 - 213552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 9*j**2 - 7*j - 7. Suppose -2*h - 5 = -z - h, -5*z + 55 = 5*h. Let a be q(z). Sort 1\/22, -1\/2, a.\nAnswer: -1\/2, 1\/22, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/(49\/70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/2 (b) -5\/37 (c) 1 (d) 0.0707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e1 + -728?\nAnswer: -f09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2072 - 12508 = 0. What is j rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9580 = k, 0 = -2*u + 5*k + 4625 + 165. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271766694?\nAnswer: 2, 3, 45294449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/z**(-1\/3)))\/z**5)\/((z\/z**(1\/5))\/z)**(-20\/11) assuming z is positive.\nAnswer: z**(-155\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -386391*a**2*z + 9*a**2 - a*z - a - 27*z - 744630 wrt a.\nAnswer: -772782*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5986.9 + -7253. What is x rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1213145 (base 8) to base 5\nAnswer: -41132123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23282 + -14525. List the prime factors of v.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-140))\/((9\/(-2))\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.36 - 0.36. Let g = 4.87 - -0.13. Let w = 115 - 344\/3. Which is the closest to w? (a) 0 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(4)\/sqrt(2) + -2*sqrt(96)\/sqrt(3).\nAnswer: -7*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxfx when four letters picked without replacement from {x: 5, h: 8, f: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 + -0.02. Let v = -5 + 12. Let o = -4 + v. Which is the third biggest value? (a) -2\/9 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7350 and 14.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (475\/(-10))\/(2\/(-4)). Calculate the greatest common factor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -20953458.\nAnswer: -2\/10476729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(-q - 5*q**2 + q) + (-q - 4*q + q)*(-26*q - 25*q + 27*q) to the form r*q**2 + d + b*q and give r.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(1440) + sqrt(10))*1)\/(sqrt(12)\/(sqrt(66)\/(sqrt(77)\/sqrt(7)))).\nAnswer: 78*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {s: 3, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 429?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3\/7 - 2945448*h**2\/7 - 309845981580*h - 8675640357136\/7 = 0.\nAnswer: -1472722, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 + 7. Which is the second smallest value? (a) -0.02 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -9632906?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = k + 11, -3*z + 0*k + 11 = 2*k. Let o(f) = 335*f**3 + 2*f**2 - 5*f + 11. Is o(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -6, 185, -4, -3 in ascending order.\nAnswer: -6, -5, -4, -3, 0, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 47459560 divided by -11864890\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*n = -2*n - 346, x + 175 = n. Let g = -126 - x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1188, -1193, -1200, -1209, -1220, -1233?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 - 2*j - 4. Let w(u) = -3*u**3 + 20*u**2 + 6*u + 11. Let m be (-162)\/15 - (-7 + 180\/25). What is m*a(d) - 4*w(d)?\nAnswer: d**3 - 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15467, -15470, -15473, -15476, -15479, -15482?\nAnswer: -15485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3\/2 - 753*q**2\/2 - 46101*q\/2 + 145161\/2 = 0.\nAnswer: -127, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 7*p. Let z(m) = -4*m - 4 - 2*m + m. Let n(j) = -9*j - 8. Let u(t) = -6*n(t) + 11*z(t). Determine u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 82922149 divided by -1879\nAnswer: -44131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z + 2*z**5 + (0*z**3 + z**3 - 7*z**3)*(0*z**2 - 2*z**2 + 4*z**2 + (3*z**2 - 14*z**2 - 3*z**2)*(4 + 1 - 4)).\nAnswer: 74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 377\/78 + 3\/18. Sort -168, -3, u in decreasing order.\nAnswer: u, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 1 - 2*b - 6*b. Let r be j(-1). Suppose -r*i + 47 - 463 = -4*k, -4*i - 521 = -5*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 5*w - 3. Let y be m(-2). Let o = -16 - -16. Suppose 3*q + 0*p - 3*p = 24, 14 = 3*q - 5*p. Put q, o, y in ascending order.\nAnswer: y, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1391.69485 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 + 2*r - 4. Let u be b(-4). Suppose n - 3*j = 3, 2*n + 4*j = 5*n - u. Solve n*f - 3*f - 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(1 + 28 + 5). Suppose 4*u + m = -55. Calculate the common denominator of (-37)\/24 + (-12)\/u and 29\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/21)\/d**2*(d*d**(1\/9))\/d**(-2\/21))\/(((d\/(d\/d**7))\/(d**4\/d))\/((d*d**7*d)\/(d**(-1)\/d))) assuming d is positive.\nAnswer: d**(397\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 157?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.011 - -0.091. Let q = 19.37 - 18.6. Let k = b - q. What is k rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 1. Let z = -4 + h. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 - -486. Suppose 97 = 4*y + j*i, -4*i + 72 = -8*y + 11*y. Solve 8 = 5*q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 + 8\/28. What are the prime factors of 5 + 15 - (h - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-56)*((-7)\/2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**4 + n**3 + n. Let b(z) = 224*z**4 + z**3 + z - 238. Let y(f) = b(f) - j(f). What is the first derivative of y(i) wrt i?\nAnswer: 892*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13892 (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -29677\nAnswer: -47\/29677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - 0) + 3 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v + 1. Calculate m(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 6\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1 - -3*2. Let b(x) = -1. Let z(y) = y + 1. Let p(c) = 2*c**2 + 24*c + 1. Let u be p(-12). Let a(j) = u*z(j) + 4*b(j). What is a(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174*a*r*u - 2*a*r - a*u + 14*r wrt u?\nAnswer: -174*a*r - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22050 and 343?\nAnswer: 154350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 9958907, 1, -57 in descending order.\nAnswer: 9958907, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4964*u**4 - 20637?\nAnswer: -19856*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 y when four letters picked without replacement from {y: 7, z: 9}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -2 - (5 - 12) - (48 - (-32 - -15))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 92, 1, 12\/37, 0.06, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193946724 and 38340?\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18471 and -24\/25.\nAnswer: 461775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:38 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10))**(-14\/9)\/((((d**(-31)*d)\/d)\/d*d)\/(d**(3\/13)*d)))**(-36) assuming d is positive.\nAnswer: d**(-22364\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*k + 29*k = -29*k - 442. Solve 9 = i + 3*b + 7, 4*i + k = 5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 663, -5, 4\/7 in descending order.\nAnswer: 663, 4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190608 and 2306448.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3103 - 4?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4034*j + 1 - 3 - 4036*j - 281*j**3.\nAnswer: -281*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 14 = -h. Does 14 divide 8\/(-5)*(-245)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {g: 2, j: 2, x: 2, f: 1, u: 1, e: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 4320*q + 933120.\nAnswer: 5*(q - 432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3712548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 71?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1558 = -210*f + 4631 + 1161 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 4*q**3\/21 + q**2\/7 - 2*q\/7 + 6. Solve s(d) = 0 for d.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.5, 0.31, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2\/7, 1\/2068, 4, 6\/5 in increasing order.\nAnswer: -0.7, -2\/7, 1\/2068, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 3861033*d**3\/2 - 14907568105021*d**2\/4 - 7453789844061*d - 3726895887289.\nAnswer: -(d - 3861034)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23842?\nAnswer: 2, 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5 + 2*s + 1 - 3. Let g be v(5). Solve -1 = g*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1690*a**2 - 1382*a**2 - 2*a**4 + 4*a**4 - 2*a**4 - 3*a + 3*a + (-2 + 1 + 0)*(a**4 + 3*a**2 - 3*a**2) - a**4 + 2*a**3 - 2*a**3 + a**4 - 4*a + 4*a.\nAnswer: -a**4 + 308*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**3 + 7*b**2 - 4. Let c(k) = -11*k**3 + 10*k**2 - 6. Let j(x) = -5*c(x) + 8*h(x). Does 23 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/99*(-39)\/4 and -73\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 8*t**2 + 2*t + 3*t + 2*t**2 - 7*t**2 - 3*t. Let x be 4\/3*6\/(-4). Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67297 - 1?\nAnswer: -67298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -16. Let l(s) = s**3 + 5*s**2 - s - 7. Let d be l(g). Let j = 1.655 + -2.655. Which is the second smallest value? (a) j (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/98 - 0 - ((314 - 211) + -102).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12101131 (base 4) to base 2.\nAnswer: 110010001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 461, 2, -2, 4, 0.4, 3?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88.0203 - -88. What is y rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + (3 - -1) - (-5 + 14 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25282 is divided by 12029?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7522575, -7522572, -7522569, -7522566, -7522563?\nAnswer: -7522560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from dkrrhddrdrhrfrrrfkrt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619684 to the power of 1\/2, to the nearest integer?\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 + 4*g**3 + 3*g**2\/2 + 14*g + 7. Let f be p(-11). Calculate the highest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 2144302?\nAnswer: 2144332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 17. Let s(x) = -2*x**3 - 2*x. Let b(u) be the second derivative of u**5\/20 + u**3\/6 - 10*u. Give y*b(k) + 2*s(k).\nAnswer: 2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 366459?\nAnswer: 28583802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536089 is divided by 1213.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130617 is divided by 65209.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 - 14*f - 1. Let r be x(-4). Solve 0 = 3*y - r - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 + 2 + 1 + 0 - 3 - 3 + 5 + (3 + 2 - 6)*(-3 + 0 + 5) + 2 - 1 - 8)*(-2*i**2 + 2*i**2 - i**3) + (-1 - 2*i**2 + 1)*(3 - 3 - 2*i).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10298 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 2*r**2 - 7*r**2 - 2*r**2 + 1 - 17*r + 17*r + (1 - 1 + 2*r**2)*(1 - 3 + 1) + 9*r**2 - 41*r + 41*r to q*r**2 + h*r + d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 - 4*z - 7. Let n be l(4). Suppose n = j - 13. Let q = j - 18. Solve -t - s = -4 + 11, -4*t - q = -2*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:32 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162.6 + 162.99. Is 4 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 0, 0 = t + f - 0 + 4. Let x = t + 10. Solve 10 = -2*k, h - 2*k = -x + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17))**2*-3 + -1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (143\/5 - 1)\/(3\/10)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272 times -13\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 12 = -5*j. Let m(v) = v**3 - 4*v**3 + 4*v**2 - 8*v + 4*v**3 + v**2 - 3. Calculate m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -0.8?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/195 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*v - 28 = 0, 0 = -z - z + 5*v - 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 3 + -2*sqrt(8).\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032 (base 5) to base 3.\nAnswer: 201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 28*m**2 + 29*m + 42. Give k(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65680441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95570476 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110001000 + 101011000111?\nAnswer: 1111001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/7)\/((-732)\/1281).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - y**2 - 5*y**2. Let x(h) = -2*h + 3. Let i(p) = -p + 2. Let v(r) = -3*i(r) + 2*x(r). Give j(v(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 - -7. Let o = 32 + -32.19. Let s = 2.19 + o. What is the second biggest value in t, 1\/4, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/3 + 176084*j**2 + 9859136*j + 414061760\/3 = 0. What is j?\nAnswer: -264070, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 19869. Let s(f) = 319*f - 6. Let p(v) = 266*v - 5. Let j(l) = 6*p(l) - 5*s(l). Give r(j(o)).\nAnswer: o**2 + 19869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -30*j + 6. Let s be p(11). Let w = s + 526. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1607 = -110*i - 263 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -201232122 (base 4) in base 3?\nAnswer: -21000111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - 5*z + 1. Let l be q(-5). What is the remainder when 55 is divided by 147\/7 + l + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + 95. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2, -0.22, 9, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 6 + 4*j + j)*(-3*j + j + 0*j).\nAnswer: -4*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*l, 883 = 4*d + 3*l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-20) - 2)\/((-2031)\/(-20310))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6007 and 1177.7.\nAnswer: -7074443.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 10*i - 22. Let w be y(-12). Find the second derivative of -5*o - 11*o**w - 2*o + 33*o**2 + 4*o wrt o.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:39 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.408, 0.13, 4, 3\/5, 2, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -218. Let r = 245\/3 - s. Suppose 2\/3*i**2 - r + 0*i = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3226767, 6453531, 9680295, 12907059, 16133823?\nAnswer: 19360587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7718 - -7721. What is the second biggest value in 2\/13, z, 5, 8, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31627 - -1328269\/42. What is the common denominator of ((-10)\/(-240))\/((6\/(-376))\/1) + 2 and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/108*-4)\/((-3)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-210)*(4 - (-96)\/(-27)). What is the third biggest value in u, -0.5, 3, 2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/24)\/(487542\/7832).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 11*f + 18. What is the nearest to -1 in f, 2\/3, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 5 - 67 - (3 + (0 - 5) - 3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 38 = -47. Let b(p) = 6*p + 13*p - 6 - 2*p + 2*p. What is the remainder when b(2) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 a when three letters picked without replacement from {p: 1, q: 1, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/5, 4, 116 in increasing order.\nAnswer: -1\/5, 0.1, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 93 = -0*r. Suppose -4*d = 5*m + r, -d + 12 = -m + 4*d. Let w(v) = v**3 + 6*v**2 - 9*v - 5. Is w(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) + (-24)\/9 - -28. Is ((-4)\/(-10))\/(-2 - (-51)\/q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ctwweznectcecn?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - ((sqrt(76) + 1 - sqrt(76))*4 - sqrt(76)).\nAnswer: -4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v - 14. Suppose 12 = -4*d - 20. Let m be h(d). Find b such that -8\/9*b**4 - 8\/9*b**m + 0 - 4\/3*b**3 - 2\/9*b**5 - 2\/9*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 1. Let q(l) = 2*l - 2419 + 1229 + 1187. Determine 6*g(f) - q(f).\nAnswer: 4*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.033788l in millilitres?\nAnswer: 4033.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 21. Let f be p(6). Let y be (f\/5)\/((-19)\/5 + 4). Suppose -y*a - 2*v + 6953 = 0, -2*a + 6946 = a - 5*v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 465 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 - 2*x - 21 + 5 + 1 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13566, 13351, 12774, 11655, 9814, 7071, 3246?\n\"Answer: -30*w**3 - w**2 - 2*w + 13599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3*l**3 - 11*l**3 - 4 - 1.\nAnswer: -12*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5 and 52\/1098111.\nAnswer: 5490555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844114782?\nAnswer: 2, 3, 7, 53, 379207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1691 and 14117?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, 0.806, -0.3 in increasing order.\nAnswer: -0.5, -0.3, 0.806, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4056, 4464, 4874, 5286, 5700, 6116?\n\"Answer: o**2 + 405*o + 3650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14422 divided by -14422\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 2*v**2 + v - 4. Let q be r(-3). Let l(x) = -x**3. Let c be l(0). Let k = q + c. Solve k*y = 5*g + 4*y - 12, -y + 9 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 6*d - 27 - 10*d)*(d + d - d).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let x(m) = 297*m - 13. Determine -9*i(c) + x(c).\nAnswer: 297*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 43965?\nAnswer: 43971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240 divided by -48.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*q = -309*q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let r(p) = -p**2 + 33*p + 1208. Let w be r(55). Let j(d) = -5*d - 1. Calculate w*j(i) - 2*v(i).\nAnswer: 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 v when four letters picked without replacement from {p: 2, v: 14, g: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1\/4, -4\/5, 1\/2, 4\/7, -9.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -8, -2, 6, 16, 28, 42?\n\"Answer: j**2 + j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pprr when four letters picked without replacement from {p: 9, r: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 901, 1359, 1821, 2287, 2757, 3231?\nAnswer: 3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:21 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 37704.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 5*b + 40, -2*d = -5*d - 4*b - 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39530646?\nAnswer: 2, 3, 193, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -0.3 (b) -4\/7 (c) 3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222499 and 99902051?\nAnswer: 99902051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 5, -2, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c - 44 + 124 + 7 + 27*c - 38. Calculate v(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81289 is divided by 16248?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 1, b: 1, c: 2, d: 10, l: 1}. What is prob of sequence cbk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*z**4 - 3*z**2 + 105*z - 15\/4*z**5 - 405\/4*z**3 - 36 = 0. Calculate z.\nAnswer: -1, 2\/5, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70 and -8149456.85?\nAnswer: 8149526.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 5*i**4 + i**4)*(3*i + i - 2*i) + (4*i**3 - 11*i**3 - 6*i**3)*(2*i**2 + 3*i**2 - 7*i**2) - 158*i**5 - 24*i**5 + 39*i**5.\nAnswer: -121*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.24 - -13.240000801. Round b to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**3\/6 - 5*a**2. Let j(k) = k - 1. Let l be 3\/9 - (-10)\/6. Calculate l*j(g) + y(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 23 - 237. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -170*y**3 + 3*y**2 - 3*y + 2 + y**2 + 171*y**3. Let z(m) = -m**3 - 3*m**2 + 2*m + 2. Let v be z(-3). Determine f(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 1049008*x - 12588064\/3.\nAnswer: -2*(x + 4)*(x + 1573508)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1278 (base 16) to base 12\nAnswer: 28a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20320, -20301, -20280, -20257, -20232?\n\"Answer: q**2 + 16*q - 20337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, -2, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/20 and 13\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 - 4*j**2 + 9*j + 78. Give r(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2. What is the units digit of f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(704) + -2 + -3 + sqrt(704) + sqrt(704) + (sqrt(704) - (-2 + sqrt(704)) - sqrt(704)))**2.\nAnswer: -288*sqrt(11) + 2897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28172 is divided by 6494?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1533*r + 1518*r = -1058235. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1554 (base 9) to base 11.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:37 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < -1001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) - (-111)\/6. Let h = 5 + y. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21 - 10*h - 11*h**2 + 13*h**2 - 28 - 46. Let g be f(10). Let n(r) = -r**3 + 5*r**2 - r - 4. Give n(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 34, -0.54, 2\/9, 2\/149, -5 in decreasing order.\nAnswer: 34, 4, 2\/9, 2\/149, -0.54, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 5. Suppose 2*u - 52 = -v + 48, -3*u = v - 150. What is the greatest common factor of o and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*u + 58 = 38, -4*u = 16. Let k be (22\/6)\/(5\/(-3)). Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s. Let h(z) = 245*z + 240. Let j(v) = -61*v - 64. Let r(x) = 4*h(x) + 15*j(x). Give r(n(t)).\nAnswer: 520*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = i - 11, 3*i + 22 = 2*f - i. Let l = 6 - f. Solve -l*t - 3 = -6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*g + 8, 5*g = k + 2*g - 2. Let w(u) = u + 0*u - k - 2*u. What is the units digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y + 3*y - 4*y)*(0*y - y - y) + 51*y**2 + 193*y**2 + 79*y**2)*(2 - 2 - 2*y**2).\nAnswer: -638*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046105 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365*k**5\/6 - 6637*k**4\/3 + 220723*k**3\/6 - 41642*k**2\/3 - 182*k = 0 for k.\nAnswer: -13, -6\/473, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.2, -3\/121, -19, -4 in descending order.\nAnswer: 0.2, -3\/121, -2\/3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 5*w**2 + 5*w - 1. Let k(c) = -9*c + 26. What is the smallest common multiple of k(2) and f(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052944 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 39. Let c be l(-8). Calculate the greatest common divisor of c and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*p - 13\/4*p**3 - 1\/4*p**4 + 0 - 13*p**2.\nAnswer: -p*(p + 2)*(p + 5)*(p + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.374 - -0.374. Which is the closest to q? (a) 0.3 (b) -10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 7*i - 7. Give b(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8881*q**3 + 30*q**2 - 3120. Let l(o) = 5*o**3 + 6*o**2 + 1. Let n(x) = 5*l(x) - m(x). Differentiate n(d) wrt d.\nAnswer: 26718*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)\/((d\/(d\/((d*d**(-4))\/d)))\/d*d))**(23\/3)\/((d**(-2))**(-1\/5))**(-11\/5) assuming d is positive.\nAnswer: d**(29608\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7797836?\nAnswer: 2, 1949459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18575*v + 37211. Give m(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -21. What is the highest common divisor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 8 = -4*v, -23 = -3*v + y + 2 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-five quarters of a year?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8899 - 0.4899. Which is the third smallest value? (a) 0 (b) -1 (c) x (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19802, -19798, -19794, -19790, -19786, -19782?\nAnswer: -19778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i - 14. Let k(x) = x - 2. Let d(f) = -21*k(f) + 3*s(f). Suppose -5*a + 5 + 5 = 0. Let q(g) = -3*g**2 + a*g**2 - g**2. Calculate q(d(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -5*z**3\/6 - z**2 + 4*z. Let a(x) = 7 + 14 + 14*x - 16. Suppose -7*g = -5*g + 16. Calculate g*h(b) - 3*a(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44525 + -44519. Suppose 0 = 4*s + 104 + 104. Let u = s + 73. Calculate the least common multiple of l and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 11*a - 4*a + 9 = 3*a, -h + 360 = -121*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 29392141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*b - 74 + 78, -y - 3*b + 31 = 0. Let a = -85 + 163. Suppose -g = -a - y. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 10. Let m be 3\/(p*12\/16). Let k(w) = w**3 - 2*w + 3. Determine k(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4135 - -5?\nAnswer: -4130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -762496 divided by 46\nAnswer: -16576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66037735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2364 and -113\/12.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/136 and (9 - -18) + (-5258789)\/194718.\nAnswer: 33864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**5\/20 - m**4\/2 - 7*m**3\/6 - 5*m. Let k be l(-5). Let a be 192\/k + (-4)\/20. Which is greater: a or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*q**2 + 2358*q**2 - 128*q**2 - 19*q + 19*q as o*q + c*q**2 + h and give c.\nAnswer: 2274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -11. Let l(x) = 28 - 3*x + 20*x + x + 0*x. Let r be l(7). What is the greatest common factor of r and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyokmk. What is prob of picking 1 o and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30838, -29806, -28774?\nAnswer: -27742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x + 62. What is the tens digit of i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + l**2 - l + 2. Let w be k(0). Suppose -w*j = -0*j - 14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -135\/2. Let u(q) be the first derivative of -3*q - 4 + c*q**2. What is the derivative of u(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/7 or 51336?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 7:38 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -1.03. Let q = 1.9 - z. Which is bigger: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22107187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 1 + 4 = -4*z, 0 = 5*s + 5*z + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggyj when four letters picked without replacement from jgjyygyg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -f. Suppose f*i + 4 = 19. List the prime factors of ((-2)\/(2\/i))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 2*p**2 + p**2 - 6*p - 16. Let f be x(9). Calculate the highest common divisor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20965347.\nAnswer: 3, 13, 29, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h)\/h*h\/h**(-6\/5))\/(h**5*(h*h**(-3)*h)\/h)*(h*h**1)**(-4\/19)\/(((h\/(h**(-1)\/h))\/h)\/((h**(-4)*h)\/h)) assuming h is positive.\nAnswer: h**(-1161\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s - 12422 + 12325 = z, -z - 4*s - 13 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 300 - 23?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 5*a**2 + 4*a - 3. Let u be s(3). What is the tens digit of u\/81 - 205\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 909*v**2 + 16 - 23 in the form q*v**2 + n + i*v and give q.\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 3. Let b(y) = -3*y - 2. Determine -5*b(w) - 2*s(w).\nAnswer: 5*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3035.\nAnswer: -9105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460547 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14767, -14805, -14845, -14887, -14931?\n\"Answer: -z**2 - 35*z - 14731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 + u. Let x(b) = 10*b**3 + 51*b**2 + 5*b. What is 6*r(a) - x(a)?\nAnswer: -4*a**3 - 45*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11040103 (base 5) in base 11?\nAnswer: -66376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 - 4*s**2)*(316*s**2 + 5*s + 3*s**3 - 316*s**2).\nAnswer: -12*s**5 - 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32485 and 25112?\nAnswer: 11174840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2322 is divided by 194.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2246.6 times 0.01165?\nAnswer: -26.17289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 38. Determine w(-20).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171.1 + -83.5. Let u = n + -88. Sort u, -5, 1, -2\/17 in increasing order.\nAnswer: -5, u, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.603 or 20\/19?\nAnswer: -8.603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/84)\/((-40)\/(-72))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let l(i) be the first derivative of i**3\/3 + 99*i**2\/2 + 107. What is l(z(q))?\nAnswer: 4*q**2 - 198*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 4*x**2 - 13*x - 3. Let b be n(-6). Let v(s) = -2*s + 4*s**2 - 3*s**2 - 2 + b*s + 0*s**2. Let o be 1\/(2 - (-9)\/(-6)). What is v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 409 - 408.769. Let o = v + -0.131. What is the closest to 0.2 in o, -4\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555*p = -1537*p. Solve -7*m - 7*m + 84 = p for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54498 is divided by 6808?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*u**2 - 31\/2*u + 6.\nAnswer: (u - 12)*(5*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 16. Suppose 0 = -i + 5*x + 4 + q, x = -1. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e + 7d652?\nAnswer: 7d533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*m + 98 = -58, 2*q + 2*m - 64 = 0. Suppose 3*s - 2*s = q. Solve 3*h + 32 = 5*i, -i = 4*i - 2*h - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/21 - 51*p**2\/14 - 610*p\/7 - 9978. Determine f, given that s(f) = 0.\nAnswer: -10, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151293?\nAnswer: 11, 13, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 458848 by 114712.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kof when three letters picked without replacement from rfafrrfrrfffkoarora?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r = -2*x - 7, -x - 2 = 2*r. Let h be (1 - x)\/(9\/(-12)). Solve -h*i + 31 = -3*y, -14 = 2*y - i - 0*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 148, -3.\nAnswer: -3, 16, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 b, and 1 n when four letters picked without replacement from nnrfbll?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.824058 months in centuries?\nAnswer: 0.000686715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288857129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 10*r + 20. Let a be v(2). Solve 2*t - a = -12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170956 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -335, -462?\n\"Answer: -127*l - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/219, -412, -2\/13, 0.3.\nAnswer: -412, -2\/13, -19\/219, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29574 + 0.00916. Round t to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 13850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*a + 1, -p + a + 5 = p. Put -2, 15, p in descending order.\nAnswer: 15, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.020582 + -5.879982. Round s to two decimal places.\nAnswer: -5.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o)**(-22\/9)\/(o**(-10)\/(o**(-9\/2)\/o)) assuming o is positive.\nAnswer: o**(331\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 (base 6) in base 7?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43\/147 - 2\/49. Suppose 5*n = -n. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -463\/5 + 93. Let f(t) be the first derivative of b*t**4 - 2\/15*t**6 + 1 + 2\/5*t - 4\/15*t**3 - 2\/5*t**2 + 2\/25*t**5. Determine i so that f(i) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -24635?\nAnswer: -24635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-14))\/(((-2)\/35)\/(208\/(-5200))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -l. Let r be -3*(l - (2 + (-14)\/6)). What is t in -27*t**3 + 25*t**3 + r*t + t**2 - t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 923080433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4860, 9283, 12842, 15105, 15640, 14015, 9798?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 2*t**3 - 5*t**3 + (5*t**2 + t**2 - 5*t**2)*(-1 + 1 + 2*t) - t**2 - 2*t**3 + 0*t**2 - 3*t**3.\nAnswer: -9*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 438.\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43538628 by 33988.\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20.6 and 113?\nAnswer: 133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let m(z) = -2*z - 102. Determine c(m(u)).\nAnswer: 4*u**2 + 408*u + 10404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -192? (a) 2\/19 (b) 0.1 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/13 and -31\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63358*i + 63362*i + 4*w + 8, 2*w + 2*w = 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 15. Let f(b) = b + 144. Let s be f(0). Suppose 5*r - 9*r = -s. Calculate the highest common factor of a and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358111 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29597 and 578.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - k + 92551. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 12) to base 8\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1283 at least -89757\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(768) + (0 + sqrt(768))**2) + 0)*-2.\nAnswer: 64*sqrt(3) + 3062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 + 1512*l**2 - 1511*l = 0?\nAnswer: 0, 1, 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*y - 48*y + 6*y**2 + (0*y**2 + 0*y**2 - 2*y**2)*(-4 - 1 + 3) + (-y - 3 + 3)*(4*y - 6*y + 3*y) + 0*y**2 + y**2 + y**2 - 2 + y**2 + 2)*(-y + 2*y + y).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10100011101000111100011010?\nAnswer: 10100011101000111100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 2)\/(2 + 6\/(-4)). List the prime factors of x\/(-77) - (-15999)\/33.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**4)\/t)\/t*t**(3\/8)\/t)\/(t\/(t\/t**(4\/7))*t**9))**(-4\/13) assuming t is positive.\nAnswer: t**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53068657 by -653.\nAnswer: -81269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -96*x + 238. Calculate k(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 532+-0.37323\nAnswer: 531.62677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298111?\nAnswer: 3, 17, 45061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 4*k**2 - 12*k + 9. Let a be q(1). Suppose -5*l = 3*u - 857, 2*l + 0*l - u = 334. Sort -2, a, l.\nAnswer: -2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 8*z - 13. Calculate o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 - (1 - 1). Suppose -f*b + 3*b = 2. Calculate the least common multiple of 18 and b + (3 - 2) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12, -19.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**3 + 40*l**2 - 16*l - 30. Let n be j(21). Round n to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14855074?\nAnswer: 2, 13, 19, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3))**(2\/11))**(-8))**14 assuming t is positive.\nAnswer: t**(224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15179*p**3 + 3301*p**2 + 5 wrt p?\nAnswer: -91074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-75))\/((-196)\/(-245)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*h - 6, -9 = 5*z - 3*h + 1. Let u = -1.626 + 1.126. Which is the nearest to z? (a) u (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**3 - 23*t**3 + 4*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8250197mg?\nAnswer: 825.0197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 206 = 2*t, -m + 199*t - 481 = 130*t - 82 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose -2*y = 3*c - 23, 2*y + 3*y - 4*c = t. Suppose 39 = i + y. Solve 3*a - i + 5 = -5*j, 2*j - 6 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -1340 + 5*u**2 - 1356 + 2707 + 34*u - 2*u**2 = 0.\nAnswer: -11, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20)*-8*(-100 + 99)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:21 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*n - 8*n**2 + n + 13*n**2 + 4*n**2 - 2*n**4 to h*n**2 + v*n + b + j*n**3 + d*n**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7080 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/60 - d**3\/6 - 5*d**2. Let o be y(1). Let l = o - -15. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*a + 3, -2*d - 15529 + 15524 = -5*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 336035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2. Let q(p) = -p**3 + p**2 - 1. Let w(l) = 2*l**2 + 1. Let g(j) = -q(j) - w(j). Give 2*g(y) + 5*z(y).\nAnswer: 2*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 152*g**3 - 79*g**3 + 24*g**3.\nAnswer: -209*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 607904543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -301, -65, -2 in decreasing order.\nAnswer: -2, -3, -22, -65, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213660 and 34043160.\nAnswer: 102129480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294 - -319. What is the second smallest value in -5, -3, 0.4, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 9.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2538730*n + 4075 = 2538567*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(35)\/(-5*sqrt(63)\/sqrt(9)))**2.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2492.906 weeks?\nAnswer: 1507709548800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 5, -0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15872 is divided by 209?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8)*o)\/((o*(o\/(o**(-24)*o))\/o*o)\/o) assuming o is positive.\nAnswer: o**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 equal to 2886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-63))\/((-1)\/(-15)). Let d = 20 + a. Let t = 1986 + -1886. Calculate the remainder when t is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -17*f**3 + 3*f**2 + 6. What is h in n(h) = 0?\nAnswer: 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2*v - 3. Let p be o(3). Let g = 11167\/714 - 96\/119. Find the common denominator of 236\/216*3 - p and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - 6*t - 10. Let v be d(-3). Let o = v - 32. Suppose l = o*l - 1023. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -1)*-4*(-1)\/3. Suppose 0 = h, c - 6*h - 18 = -g*h. What is the remainder when 194 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1143\/(-6))\/((-6)\/8). Suppose 28*f - 2089 = 2251. Let r = q - f. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 32626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -3 - 3049002\/(-18). Suppose 4*c - 191821 + 56297 = -4*a, 0 = -5*c - a + n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 25, -4*r - 1 = -t - 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9010*s**3 - 14106*s**2.\nAnswer: -54060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 3. Let z(w) = w - 7. Let n = 15 + -15. Let g be z(n). Calculate the common denominator of x(g) and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-3)\/(-380)) - 1. Suppose 0 = -9*m - 488 - 1870. Let z = m + r. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2679317 divided by -1.\nAnswer: 2679317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -23880349.16 to the nearest one hundred.\nAnswer: -23880300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 1\/30*s**4 + 0*s**2 + 1\/50*s**5 + 2*s + 0 - 1\/105*s**7 + 0*s**3 - 1\/75*s**6. Determine h so that x(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 370942849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/4 + 5077*g**3\/2 - 30455*g**2\/4 + 10151*g\/2 = 0.\nAnswer: 0, 1, 2, 10151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -20. Let h(d) = d**3 + 6*d**2 + 3*d - 5. Determine h(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-4 + (-7 - -18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*u - 24*u + 572. Let g(y) = -97*y + 1009. Let s be g(10). What is the greatest common divisor of u and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1024 or 1025?\nAnswer: 1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and 9517.\nAnswer: 542469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - ((-6 - -9) + 7 - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, f: 1, i: 1, q: 2, m: 1}. What is prob of sequence mx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 208221, 416535, 624849, 833163, 1041477, 1249791?\n\"Answer: 208314*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -340668.\nAnswer: -1\/85167","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is -3\/105700 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(672\/294)*(-4)\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-1\/3))**(9\/7))**(-39))**15)**(2\/9) assuming l is positive.\nAnswer: l**(390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*u + 1 - 4, u + 6 = -2*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1612994262 and 5?\nAnswer: 1612994257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + 64. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 + 57*o + 42. Let u(f) = -26*f**2 - 313*f - 209. Determine -22*s(g) - 4*u(g).\nAnswer: -6*g**2 - 2*g - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -37\/7. Let v(i) = -i - 4. Let p be v(-4). Which is the smallest value? (a) -1 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111807 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s - 57 = 0. Let v = -49 - s. Suppose -3*z + 2226 = 3*a, v*z + 1459 = 2*a + 5*z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4 + 1. Let j be (-5)\/14 - (-5)\/10. Which is the second biggest value? (a) 0 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f - 4*q = -1044, -5*f - 2*q + 1726 = 0. What is the remainder when f is divided by 118?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-9) + 2)\/(-1). Let z = -3 + 2. What is the second biggest value in c, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103274 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pslaaplssspal. Give prob of picking 1 s, 1 l, and 1 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 4*a + 0*a - 2 + (2 - 6 - 2)*(a - 2 + 2 + 6 - 6 - 3*a + (3 - 3 - 1)*(a - 2 + 2) + 5*a + 6*a - 6*a) as c*a + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 3679 + 4051 = 6*p, -3*p - 60 = 4*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6 - c + 1 - 1. Let q be w(-6). Suppose -2*b**4 - 2*b + 0*b**2 + 2*b**3 + 2*b**2 + q*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80229 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*s = 14, -4*s - 10 = 6. Let t = 12.07 - 15.07. Put t, 6, i in decreasing order.\nAnswer: 6, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 + c - 5. Let m be (12\/(-5))\/(3\/(-10)). Let z be u(m). Solve z*t - 22 + 7 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 8. Let v(f) = -2 + 4*f**2 + f + 0 + 0*f**2 + f**3. Let t be v(s). Solve c = -t*i + 12, c - 8 = -3*i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 716.33848428 from 0.2.\nAnswer: -716.13848428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-5)*(-8)\/(-32)*-10. Let a(j) = -4*j + 10*j - 4*j + 4. Let f(n) = n. Determine l*f(g) + a(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 337 - -0.8.\nAnswer: 337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 1\/7, 13753 in descending order.\nAnswer: 13753, 15, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 9. Let j be q(-14). Suppose -3*a - 2 = 5*k - j, 5*k - 1 = -a. Which is greater: k or -3\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29353 = -212*v - 32321 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4110, 4109, 4108, 4107?\n\"Answer: -d + 4111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*l - 18, 11*d - 8*l + 169 = -11*l for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 440.4.\nAnswer: -528.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 + p - 1. Let w be d(1). Differentiate -2*y**w + 2*y**2 + 6 - 5*y**3 wrt y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.073 - 0.121. Let n = 10.848 + z. Round n to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684795 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*((-1)\/1 - -2). Let k = 14799 + -14802. Sort u, k, -4, 13 in descending order.\nAnswer: 13, u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/42)\/((-2)\/(-14)). Let f(o) = o**2 + o. Let l be f(-2). Solve -l*s + 3*c = -i, 0*s - 5*c + 14 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200222012121221 - 11?\nAnswer: -200222012122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191695, -192114, -192535, -192958, -193383, -193810, -194239?\n\"Answer: -y**2 - 416*y - 191278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/30)\/(3*10\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.198 and 2081?\nAnswer: -412.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - 12*(-68)\/(-72). Let r(h) be the second derivative of 0 + y*h**3 - 8\/5*h**5 + 0*h**2 - 35*h + 0*h**4. Find the second derivative of r(s) wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + 33*l**2 + 30*l + 13. Let s be g(-10). Calculate the greatest common factor of s and 27677.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*b + 49400 = 280*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/76*1*-3*(-4)\/15.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 20.000214. What is a rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let d = -82 - -83. Sort o, d, -2.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m - 6. Let z(b) = b**3 - 9*b**2 + 18*b + 1. Let o be z(6). Let q be j(o). Solve q*l - 2*l = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1279, -2, 1\/3, -41 in decreasing order.\nAnswer: 1279, 1\/3, 0.3, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -40. Solve 2*i + 4*r - 22 = 0, 6 = -h*i + 3*i - 3*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -10013041212?\nAnswer: 10013041210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 + 5. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.41 + 2.4. Put 2, -2\/5, 0.2, j in descending order.\nAnswer: 2, 0.2, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 + 96*q**3 - 2*q**2 - 96*q = 0.\nAnswer: -48, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 30?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4680 and 413244.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.312 (b) 0.0058 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -405476*v. Let s(q) = -2*q**2. Determine y(s(m)).\nAnswer: 810952*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 126*r - 609. What is the tens digit of g(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 511*l + 58 + 337*l - 840*l. Determine a(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -46363893\nAnswer: 1\/46363893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76257977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(2\/111)\/(l**6*l*l\/(((l*l**3)\/l)\/l))*(l*l**(-1\/4))**(-1\/2)\/(l**0)**(-23) assuming l is positive.\nAnswer: l**(-16951\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0, 0.1, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(136) - sqrt(136))\/sqrt(8) + sqrt(17) + 2*(sqrt(17) + 0 + sqrt(17)) - 5*(sqrt(425) + 4 - sqrt(17) - sqrt(17))).\nAnswer: -10*sqrt(17) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2861 (base 10) in base 11?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/17 and 43\/170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -23*q**2. Let x(c) = -2*c**2 + 219. Determine x(l(p)).\nAnswer: -1058*p**4 + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-21)\/70)\/(42\/(-35))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3546 + 3614. Sort 4, q, 33 in decreasing order.\nAnswer: q, 33, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = -5*l + 122. Let s = -1277\/10 - l. Let u = 12 - 11. Are s and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - (-40)\/6)*9. Suppose 0 = 2*v + v - 4*i - 51, 71 = 5*v - 2*i. Suppose -v = -4*q - 1. Solve -2*l - q*t - o = 3, -l + 1 = -4*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times 0.02\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 11*x + 22. Calculate the lowest common multiple of x and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41402+0.5\nAnswer: 41402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 538974727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3835 divided by -1.\nAnswer: 3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*l + 3*l**2 - 7*l**2 + 2*l**2.\nAnswer: -2*l**2 + 882*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 5*u**3 + 5*u**3)*(2 - 4 + 4) + 3*u**3 - 3*u**3 + u**3 + (3*u - 3*u + 2*u**2)*(0*u - 4*u + 2*u) - u**3 + 1 - 1.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -109.29859447 and 5.\nAnswer: -104.29859447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-21) + (-2)\/10. What is the closest to 2\/3 in u, -0.2, -0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 4 - 2)*(-22*f + 6 - 6) + 7*f - 4*f - f to g*f + i and give g.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 - 21*x**2 - 2*x. Let f(m) = 10*m**3 + 31*m**2 + 3*m. Determine 5*f(w) + 7*g(w).\nAnswer: w**3 + 8*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 11 (c) -1.33 (d) 5\/6 (e) -5 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81306499?\nAnswer: 1201, 67699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 6*n**2 - 7*n + 3. Let t be j(7). Suppose -2*h - t*h - 12 = 4*m, -m - 5*h = 3. List the prime factors of -9*(22\/(-6) - m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69322, 69616, 69910, 70204?\n\"Answer: 294*v + 69028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12189.96 from -0.1.\nAnswer: -12190.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:53 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*q + 3 + (-5*q + 3*q + 3*q)*(3 + 1 - 5))*(-73 + 54 + 68) - 1858 + 21*q + 1858 to v*q + l and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from outopuouuotqjjjuouot.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.3. Let d = q - -0.3. Let x(u) = 3*u + 17. Let v be x(-6). Do d and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -2. Calculate the least common multiple of 3*(-2)\/(-3) - -14 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-516)\/(-255))\/((-700)\/5250).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/20, 5, 42, -1\/7642.\nAnswer: -1\/7642, 3\/20, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 22*z**2 + 5*z - 54. What is the tens digit of q(22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1492 + -2?\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-80) + (2 - 24\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.689999018 + -0.69. Round x to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2566 (b) -0.3 (c) 0.2 (d) 0 (e) 7\/8 (f) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55\/3 + 391\/21. Which is the third biggest value? (a) 1 (b) 4 (c) y (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 - 231*u**2 + 5 + 229*u**2. Let g(n) = -72*n. Calculate o(g(x)).\nAnswer: -10368*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a1b - 3452?\nAnswer: 13589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-5 + 60 - 17) + -16.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261080439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2167 = -2*s - 583. Suppose 0 = -2*g + o + 396, -4*g - 4*o - o = -s. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (12 + -13 - (26 - 10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/5 - 14\/((-350)\/35985)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000093692 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12274*z**2 + 12421*z**2 - 24695*z**2 - 9*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 3, x: 5}. Give prob of sequence ff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146223 is divided by 34969.\nAnswer: 6347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:59 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74028 take away -2001?\nAnswer: 76029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129076 and 48556?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.98 - -2.02. Let z = v + -34.15. Let k = 0.08 - -4.92. Sort z, 1, k in decreasing order.\nAnswer: k, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -72?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 57*i - 24 - 139 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 1, t: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2112 = -41*t. Suppose -t*g + 133 = -25*g. Suppose -3*c = 4*f - 16, -3*f - 17 = 2*c - 7*c. Solve -f = -2*j - 2*y + y, -3*y = j + g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/14 + 1900\/(-1540).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by 1\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10508 (base 11) in base 5?\nAnswer: 442004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/25 and 12\/13.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 73 - ((-2112 - -2081) + 1 + 38)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -60*m**2 - 10 + 11*m + 4 + 59*m**2. Let f be 26\/3 + (-4)\/6. Is l(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -242, -462, -686, -914?\n\"Answer: -2*f**2 - 214*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0835 and -1313.\nAnswer: -109.6355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10386 and 36.\nAnswer: 20772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1137 by 3.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12\/v*v\/v**0*(v**0)**(6\/13))**(-50) assuming v is positive.\nAnswer: v**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 11 = 2*y - 3*o, -3*y - 5*o + 7 = 0. Suppose 0 = y*w + w + 10, -5*w = -z + 13. Let m be (z - 4) + (-17)\/(-15). Is m at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.68 * 4.\nAnswer: 10.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m - 1. Suppose 4*w + 38 = m*n, -n = 5*w - 17 - 8. What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 + 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 13*y**2 + 13*y**2 - 5*y**3 + 4 + 0*y**2 to f*y + g*y**3 + w*y**2 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 23. Let b = -61 - -93. Calculate the remainder when b is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 1:06 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10570691, -10570693, -10570695, -10570697, -10570699, -10570701?\nAnswer: -10570703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -10.85. Let k = 0.11 - u. What is k rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4298a - -5?\nAnswer: -42985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274284443 to the power of 1\/2, to the nearest integer?\nAnswer: 47689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.686125 months to decades.\nAnswer: 0.247384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/135 and 71\/153020?\nAnswer: 4131540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 373 - 59 - 28*k.\nAnswer: -28*k + 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8082 (base 14) to base 11.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5392563 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53964?\nAnswer: 2, 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22572 and 2200?\nAnswer: 1128600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 769927308 by 128321218.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*(-3)\/(-1710)*55\/(1705\/62).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 8*a**2 + 13. Give p(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27229 - -357.71?\nAnswer: -26871.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/390 - 127*t**4\/39 - 2*t**2 + 23*t. Factor j(x).\nAnswer: -2*x*(x + 508)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1.9. Let w = -5.84 - -1.04. Let y = -4.7 - w. What is the closest to z in y, -2, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 27. Let n be o(-16). Solve -n = -2*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 24*y**2 + 53*y - 382. What is the hundreds digit of f(37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + -6 + 19 + -11. What is the closest to 1\/6 in -0.2, -2\/3, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/160487 or 1?\nAnswer: 41\/160487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -29, -824, 5, 0.1, 4?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 5967557.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2093 times 100\nAnswer: -209300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1542 by 1.\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 175 + 44)*(2 - 2 + y)*(3 + 2 + 1).\nAnswer: 1158*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186262 (base 13) in base 10?\nAnswer: 613381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*u**2 + 8*u**2 - u**2 + (-2*u + 3 - 3)*(-58 + 58 - 95*u) to the form a*u**2 + b*u + f and give a.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/(-4))*(-51)\/(-102)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*q + 663*q + 657*q + 72 = 12*y, 5*q + 3*y = 52 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(4 - (-76)\/(-20))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 700\/30 + -23 + 28\/6. Sort 3, 4, i, 0 in decreasing order.\nAnswer: i, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:23 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5613 divided by 1871\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -4?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biezibbvettbvvit. Give prob of picking 2 e, 1 t, and 1 v.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 - -0.9. Let g = -56 - -58.05. Let p = g - -0.95. Which is the third biggest value? (a) p (b) d (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2964544 divided by -33688\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2224\/3892*21\/(-44)*-2\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 426926864 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 205*o + 1275. Calculate r(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(2\/(4\/(-3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 35*u**2 + 22*u + 93. Calculate g(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 = 2*n, 20 = 5*n - 14*l + 12*l. What is the third derivative of -151 + 96*y**6 - 13*y**2 - 12*y**2 - 2*y**3 + 24*y**n wrt y?\nAnswer: 11520*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 12}. Give prob of picking 2 k.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3\/2, 10, 9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -583 less than 21057?\nAnswer: 21640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/1258 + -140905\/11322. Let b = -28\/9 - y. Let t = 7\/78 - 3311\/390. Calculate the common denominator of b and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.8 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 14) to base 5.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36*-6*(5 + (-29)\/4). What is the highest common divisor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588699246.\nAnswer: 2, 3, 29, 83, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77054515.\nAnswer: 5, 433, 35591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 260733 + -260566.221. Let o = 165.55 - -1.45. Let k = o - y. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**8\/2240 + l**7\/420 - l**6\/240 - l**5\/12 + l**2. Let a(s) be the third derivative of y(s). Let a(r) = 0. What is r?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 28. Suppose -19 = x - 30. What is the remainder when a is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 2*r - 4*r. Let b(t) = -38*t - 28*t - 34*t + 77*t. Calculate b(a(m)).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223682\/2037 + -105 - 1\/((-1)\/(-5)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 6*w**2 + 53 - w**3 - 4*w**2 - 23 + 45 as c + f*w + k*w**2 + u*w**3 and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(450)*-2 + sqrt(450)))\/sqrt(9).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 9*m**2 - 9*m + 4. Let s(x) = 3*x**3 + 27*x**2 + 27*x - 12. Let b(u) = 17*q(u) + 6*s(u). Let y be b(-9). Let r = y + 142. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -539.98665 + 539.9. Round a to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 - 27c748?\nAnswer: -27c77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -411434 at least -0.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and 2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/440 and -103\/6.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 27) + (-17 - -2) - (-1 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13006616 = -14643384. Round q to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 5019773?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 + 270*a**2 - 575*a - 840 = 0 for a.\nAnswer: -56, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*z = 92*x - 376 - 56, -5*z - 140 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v + 632. What is x(51)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3234*k**5*z**2 - 2*k**4*z**2 - k**2*z + 568*k*z**2 - 4*z**2 wrt k.\nAnswer: -194040*k**2*z**2 - 48*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 5*a + 4*a)*(3 - 3 + 1)*(-4*a**2 + 5*a**2 - 2*a**2)*(3 + 3 - 5 - 1 - 6 + 5 + (5 - 3 - 1)*(2 + 0 - 1) - 4 + 3 + 2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/16 and -19\/616?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -r + 3*r - j, r = 2*j. Let k be 1\/3 - (-5)\/3. Solve 0 = k*w - r - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(-3 + 4 - 2) + 1 - 2 - 2)*(-x + 2*x - 2*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3941976?\nAnswer: 2, 3, 164249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4642 - 83681\/18. Let m = -8084 - -64753\/8. Find the common denominator of m and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/2 + 4785*j**4\/2 - 773339*j**3\/2 + 9032623*j**2\/2 + 1905027804*j - 79689893570 = 0. What is j?\nAnswer: -70, 79, 4618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 54) + 42\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 8) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47413 + 47415. Let w = 4 - 4.2. Let j = -0.5 + w. Sort j, -4, q in ascending order.\nAnswer: -4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334826673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95598, -191195, -286792, -382389, -477986?\n\"Answer: -95597*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-124)*(0\/(-2))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -0.1, -73\/6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 356, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 42*m + 3 = 0. Is 1\/3 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184714192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 1:52 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3194634 divided by -6.\nAnswer: 532439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5))**(4\/3))**(2\/93) assuming q is positive.\nAnswer: q**(-8\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 - 4*a + 118 + 104)*(0*a - 3*a + 2*a) as d*a + q + g*a**2 and give d.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7365957031.\nAnswer: 19, 387681949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 160 = t. Let a = 10 - 6. Solve 2*s - 6 - 12 = 4*q, a*q = 4*s - t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.053 and 171.\nAnswer: 9.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393632?\nAnswer: 2, 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5537*l + 5487*l - 16509*l + 5494*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba7 - 1?\nAnswer: 1ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3245 - 3249. Let t = -4 + 3.8. Put -1\/2, 0.5, m, t in ascending order.\nAnswer: m, -1\/2, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7869 and 226911.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkk when three letters picked without replacement from {v: 1, k: 5, i: 2, w: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1285197 divided by -137\nAnswer: -9381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 2*t)*(t**2 - 2 + 2) - 64*t**3 - 7*t**3 + 31*t**3 + (-8*t**3 + 40*t - 40*t)*(1 - 1 + 2) + 3*t**3 + 2*t**3 - 3*t**3.\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -1e?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 - 4*l**3 + 11*l - 2*l**3 wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*v + 25, 0 = 3*v - 3*h + 2*h - 4. Let r be 3\/(-9) + 19\/v. Let f be 5399997\/r + (-1)\/(-2). Round f to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11945 + -11941. What is the fourth smallest value in -0.3, 4\/7, 0.5, -25, l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.92 + 1.92. Put 1, 0.5, -2\/3, b in increasing order.\nAnswer: b, -2\/3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 16*t. Let q be a(0). Sort 6, 5, q, -7.\nAnswer: -7, q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13797 divided by -511?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 47238198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, 2\/9, 0.3, -1.2, -3\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 5. Let a(j) = 7*j**2 + 0*j**2 + 5 - m*j**3 + 10*j**3 + 1. Let d be a(-7). Solve -w - 2*v + d = 0, -4*w + 15 = -2*v + 7*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 + 7*z**4\/24 - z**3 - 4*z**2. Let h be a(-7). Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14761455 divided by 2952291.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 42*o**3 + 2*o + 3.\nAnswer: 42*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 11:57 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 11 = -9, 0 = 4*o + 4*j - 24. Solve w = o*i - 2, 3*w + 5*i = -8 + 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 21*h**2 + 38*h + 22. Give p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/10045 - 114517\/20090. Calculate the common denominator of q and -79\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 1, 4, 0.1, -0.12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -83. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by 4.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6735 (base 8) to base 5\nAnswer: 103144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -302*k. Let g(r) = -372*r**2 - 2*r. Determine g(x(c)).\nAnswer: -33927888*c**2 + 604*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u**2)*(-1 - 1 - 1)*(2 - 13 + 2)*(7 - 1 + 5).\nAnswer: 594*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7))**(2\/101) assuming r is positive.\nAnswer: r**(6\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -21*y**5\/5 + 192*y**4 - 9804*y**3\/5 - 27072*y**2\/5 - 6912*y\/5 = 0?\nAnswer: -2, -2\/7, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 7. What is the remainder when 69 is divided by j(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132121 and 20350?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y + 140679 = -21*y. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 2*r - 10. Let x be 1*8*((-24)\/(-112))\/((-6)\/14). What is d(x)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/((-2)\/(-6)). Let u be (-2 - -5)*h*-9. Let k = -28 - u. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3422\/109 at most -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -24*l + 20*l - 696. Solve -267 = 30*h - l for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) + sqrt(3087)*4)*5)\/(sqrt(36)\/((sqrt(28) + 3*sqrt(28) + sqrt(28))\/sqrt(7))))**2.\nAnswer: 3679375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.9 - 37. Let m = -0.1065 + 5.3965. Let z = d - m. Round z to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - w**2 - w + 1. Let g be (8\/6)\/((-2)\/6). Let b = g - -5. Let k be n(b). What is the highest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p + 240. Suppose 3*t + 0 = -3. What is the remainder when p is divided by (-85)\/10*t*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23160 + 23160.2. Put 3, x, 3\/70, -4\/3, 1\/3 in descending order.\nAnswer: 3, 1\/3, x, 3\/70, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/3 - (-28)\/84. Suppose 4*x + 3*r - 26 = 0, -x + p*x + 2*r = 14. Suppose -q = x*l - 1027, -5*q - 3*l + 1079 = -3968. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 25*p - 57. Calculate c(-13).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 - 2*r**2 - 2*r - 4. Let f be q(-3). Suppose -5*i - f = -292. Let c be 1 + -1 + (56 - -4). Calculate the greatest common factor of c and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 1\/3*n**4 - 1\/10*n**5 + 4*n. What is the third derivative of b(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -15, -2786041, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 + ((-1030)\/(-30) - 21). Which is bigger: g or 499?\nAnswer: 499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*p + 1382 - 2524 = 3218 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.5 - -173.5. Let u = 216.9911 - k. What is u rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*-2 - (40\/10 - 1555) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:58 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from furrgus. Give prob of picking 1 f and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 1269 + 1276 + 1901 - 4174.\nAnswer: -h + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -172*a**2 + 11*a + 6. What is w(-2)?\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3400*z**3 + 51*z - 51. Let h(u) = 136*u**3 - 2*u + 2. Calculate 51*h(g) + 2*y(g).\nAnswer: 136*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 4*r**2 - 5*r - 1. Let n be s(-5). Suppose 36*t + 259 - 187 = 0. Sort 4, n, -3, t in descending order.\nAnswer: 4, n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -2*f + 153. Solve 3*n + f*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -112031100?\nAnswer: -112031023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + w + 12, -5*w - 2 = h + 10. Let o be 1015\/(-315) - h*2\/18. What is the nearest to -1 in 4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:17 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 52?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2800 - 14008\/5. Which is the third smallest value? (a) 5 (b) h (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 130774, -3\/2, -70?\nAnswer: 130774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396 a factor of 4426949940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 8160*c**3 + 3329275*c**2 + 8160*c - 3329280.\nAnswer: 5*(c - 816)**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413 + 7849\/19. Let r = 255 + -260. Let g = -5 - -1. Which is the closest to g? (a) r (b) -2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*n - 28, 3*r = -527*n - 2575 - 3737 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 3*s**4 + s**4 + (-5*s**2 + s**2 + 3*s**2)*(-s - 2*s + 4*s)*(779*s + 498*s - 162*s).\nAnswer: -1116*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -4066.\nAnswer: -4066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 3:51 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 6*m**2 + 38*m + 210. Determine r(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 269, 268, 267?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -f + 1 = -2*s + 57, 77 = x*s - 5*f. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-5)*74\/(-2849)*-55?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5197.851us?\nAnswer: 5197851","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12745*s**4 + s**3*u - 35*s**2 - 4*s*u - 540*s + 1011*u wrt s.\nAnswer: -152940*s**2 + 6*s*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73086.9999925574 - 73087. What is b rounded to 7 dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmxyy. Give prob of sequence xymr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, 95, -24, 11 in ascending order.\nAnswer: -24, -0.2, -0.1, 11, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-14) + (-21)\/(-49). Suppose -2*t - 2*f + 19 = -1, -2*t + 21 = d*f. Let g be 3\/(-2)*(t\/(-3) - -1). Solve -g*k + 6*k - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 6. Suppose d*a = 22 + 227. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 10 = -9*i. Let v be i\/3 - (-8)\/36*2970003. What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 10 = -5*k. Let a(g) be the first derivative of -300*g - 2*g**2 - 4*g**2 + 288*g + k. Differentiate a(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 + 4*d**2 - 2*d**2 + 18*d**2 + 9*d**2 + d**2 + 0*d**2 - 2*d**2 + (0 - d + 0)*(4*d + 2*d - 4*d).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**5 - 3*j**5 - 2*j**5 + (-2*j + 2*j**2 + 2*j)*(-2*j**3 + 4*j**3 + j**3) + (0*j**2 + 0*j**2 - 2*j**2)*(3 + 2*j - 3)*(3 - 3 - j**2).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76893 and 1833519.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12988, -26545, -40676, -55381, -70660?\nAnswer: -86513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - n**2 + 3*n**2 + 2*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 173 = 22. Let m be 13\/a - 69978\/10. Let c be m*4\/20 - 2\/5. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2087783988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7405 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874.503 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 8. Suppose 0 = -5*u - u - 36. Let c = -2 + u. Let t be a(c). What is the greatest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, 80, 483, 1318, 2729, 4860, 7855, 11858?\n\"Answer: 24*f**3 - 53*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10070 and 1007.\nAnswer: 10070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22985867 and 0.0572209.\nAnswer: 22985867.0572209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (171*n - 23*n**3 - 171*n)*(n - 2*n - n) + 5*n**4 + 0*n**4 + 0*n**4 in the form o + x*n + h*n**4 + q*n**3 + c*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32104343 (base 5) to base 8.\nAnswer: -1016044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -244310 (base 5) in base 14?\nAnswer: -3586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 29, -0.5, 2\/11 in decreasing order.\nAnswer: 29, 0.4, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d + 440 = 74 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -15497*g + 666341. Calculate k(43).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267482663*r*x**3 - 2*r*x**2 - 71609697*r*x wrt x.\nAnswer: -1604895978*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -15*y**2 + 26*y**2 - 12*y**2. Let l(t) = 2*t**2 + 93. What is j(l(o))?\nAnswer: -4*o**4 - 372*o**2 - 8649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-3*sqrt(405) + sqrt(405)) - 6*sqrt(405)*2)*5)**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -400, -14682, -42848, -84898, -140832, -210650, -294352?\n\"Answer: -6942*a**2 + 6544*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(0 - (-1)\/(-2)). Suppose 0 = x - 2 - h. Suppose 0 = 3*m + x - 19. Which is the closest to -0.1? (a) -2 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204 + 51?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012959924 rounded to six decimal places?\nAnswer: -0.001296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -432314?\nAnswer: 432230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.09. Which is the third biggest value? (a) 1 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 2*x, -3*a - x = -2 + 12. Let d be 7\/((-126)\/(-12))*9\/2. What are the prime factors of (-482)\/(-6) - a\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22639668 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -84231\nAnswer: 8423.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - u + u + (-3*u - 3*u + 5*u + (2*u + 3*u - 2*u)*(-12 - 15 - 10))*(-3 + 8*u**2 - 143*u + 143*u) in the form i*u**2 + j*u**3 + t + r*u and give r.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 865760311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105906 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 37*a**2 + 1371*a - 535. Determine z(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 16. What is the third derivative of -7*q + 10*q + t*q**3 + 5*q - 26*q**3 - 7*q**2 wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 20, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, e: 6, w: 1, z: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-140)*-7)\/((-288)\/(-180))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 63*q = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*f + 64*f - 131*f.\nAnswer: -165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-128 - (-15 + 6 + -14 + 3)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/27 + (-7)\/(693\/4). Determine r, given that 2\/11*r**2 + 0 - a*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 386041.\nAnswer: -5\/386041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Let l(u) = 12*u**3 - 3*u**2 + u + 1. Let w = -32 + 33. Let y be l(w). Solve -5*c - 8 = o + g, -4*c - 3*o = y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.119751.\nAnswer: -0.359253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 16390*f**2 - 15653*f**2 - f + f.\nAnswer: -f**3 + 737*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/8 - w**3 - 7*w**2. Let g be q(-3). Solve 0 = -2*l + 5 - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67110?\nAnswer: 2, 3, 5, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 81*c**5\/20 + c**4\/4 + 266*c**3\/3 + c**2\/2 - 1089*c. What is the second derivative of r(w) wrt w?\nAnswer: 486*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676282262.\nAnswer: 2, 1338141131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + y - 2*y)*(-y + y + y) - 29*y**2 + 15*y - 15*y to t*y + j*y**2 + d and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*z**5 + 10209*z**4 + 156693*z**3 - 190929*z**2 + 24048*z = 0. What is z?\nAnswer: -16, 0, 1\/7, 1, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:31 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 + 10.4. Let j = 6 - r. Which is the nearest to -1? (a) j (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154.646 - 1.954. Let r = z + 157. Which is the nearest to -0.1? (a) r (b) 5\/14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1187788 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2504 and 11891809.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2. Let j(d) = -6*d. Let u(s) = s. Let t(w) = j(w) + 4*u(w). What is t(v(z))?\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*g + s + 50, -4*g - 5*s = 153. Let n = -209\/5 - g. Let v = 30 + -35. What is the closest to n in -4, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 7*h + 6. Let p be g(-7). Let w(b) = 5*b - 6. Let s be w(p). Suppose 4*n - 2*n = -c + 47, -3*n = -3*c - 75. Is s < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + (0 - -5) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 97.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 16. Let j be g(-5). Let b(w) = w**3 + 15*w**2 + 10*w - 16. Let c be b(j). Find the third derivative of a**2 - 25*a**2 + c*a**3 - 20*a**3 wrt a.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {l: 3, j: 1, y: 2, i: 2, b: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + k - 15 = 3*k, 5*k = -5*v + 25. Suppose -v*i = -8 - 7. Suppose i*p = 5*p - 12. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 4*d**2 + 3*d + 1. Let k(y) = y**3 + 8*y**2 - 9*y + 1. Let w be k(-9). Suppose 2*r + 3 = -w. What is p(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47619799.\nAnswer: 47619799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2164 + 500. What are the prime factors of m?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/20 + 17*h**4\/2 + 66*h**3 + 31*h**2 - 7*h. Factor p(w).\nAnswer: 3*(w + 2)*(w + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453 - 394 = -241*x - 124 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -0.04?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2. Let v(c) be the third derivative of -c**5\/10 - 6*c**2. Give t(v(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -44486 - 104*g**2 + 4*g**3 + 676*g + 44486 = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 17.2?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 26*g**2 - 14*g + 8. Let b be t(7). What is the greatest common divisor of b and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349488 is divided by 1378?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2294843508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 + 20*w**3 + 4*w**2 - 16*w**3 - 12 + 15*w. Let i be d(6). Let l = 13 + -13. Solve -i = -l*v + 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -53*t**3 - 6*t**2 + 32. Let g(k) = 54*k**3 + 5*k**2 - 33. Let h(y) = -6*g(y) - 5*s(y). What is the derivative of h(q) wrt q?\nAnswer: -177*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*c**4 + 13*c**2 + 24*c**2 + 4*c**3 - 66*c**2 - 16*c**2 + 7*c wrt c.\nAnswer: 3840*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -8393647205495?\nAnswer: 8393647205500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*n - 4*t + 41, 4*n - 4*t + 100 = 0. Let h = n + 2. Which is smaller: -61\/3 or h?\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) 7 (c) 3\/2 (d) 444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -5*p - 11, 5*p = -15. Let q = 5 - h. Let c = -0.39 + -2.61. Sort c, 2, q in descending order.\nAnswer: q, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 6625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.124 - 58.124. Let n = 35 + w. Let y = -25 - n. Which is bigger: 6\/5 or y?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - 119*n**4 - 120*n**3.\nAnswer: n**3*(n - 120)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -3*a**6\/40 + a**5\/60 + a**4\/24 + a**3\/6 + 2*a**2. Let z be f(-1). Does 2 divide z\/(-35) - 23\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*v = v - 39, -2*p - 28 = 2*v. Let z be 9\/(-2 + p\/(-4)). What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1700908, -3401811, -5102712, -6803611, -8504508?\n\"Answer: w**2 - 1700906*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22014108 divided by -6?\nAnswer: 3669018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(2\/(-96)). Let x = z - -98\/3. Let p = 8123\/7 + -1159. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(153) + sqrt(153)*-3 - sqrt(153)) + (sqrt(153) + 2 + -5)**2)*-2*5 + 0.\nAnswer: -8100 - 450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 761621951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-1*2)\/(sqrt(1000)\/sqrt(4)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(12\/(-18)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*i + 3*i. Let k = -10 + i. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.63 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2 - 15*o - 4. Let p(c) = 6*c**2 - 13*c - 4. Give -5*g(b) + 6*p(b).\nAnswer: b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 6) - (12 - -7 - -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -370, -556, -742, -928, -1114?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 2170619*o - 2170620.\nAnswer: (o - 2170620)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**3 - 2*b**2 - b - 2. Calculate q(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.092724 or -440?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, p: 1, e: 8}. Give prob of sequence pege.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.747 + -0.253. What is the nearest to q in -0.5, -2\/9, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3\/3 + 59605339*r**2\/3 - 44704001*r\/3 - 14901334\/3 = 0.\nAnswer: -1\/4, 1, 14901334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 1361.\nAnswer: 13\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 16. What is the third biggest value in -0.11, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/12*(-315)\/168*2\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 64)*(2 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-3\/22)))**(-3\/16)*(r**27\/r)**(13\/8) assuming r is positive.\nAnswer: r**(14863\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 198*w**2 - 4*w. Let f(q) = 50794*q. What is i(f(u))?\nAnswer: 510846026328*u**2 - 203176*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 566237*k - 1698710\/3.\nAnswer: -(k - 1698710)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 2*t**2 - t + 4. Let o be k(-3). Let f = o + -23. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 1 + (sqrt(18)\/(-2*sqrt(1089)) - ((sqrt(2) - sqrt(108)\/sqrt(6)) + (sqrt(128) - (1 + sqrt(128))))) + 4)**2.\nAnswer: 86*sqrt(2) + 31131\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u - 316. Suppose 98*p + 5323 - 3069 = 0. Give y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t**(1\/4)\/t)\/t*t))\/t*t**4*t**(-1\/2)*t\/(t**6\/t) assuming t is positive.\nAnswer: t**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.739 - -3.261. Sort 0.2, -0.3, p, 0.05 in descending order.\nAnswer: p, 0.2, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001828456 to five dps.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-4))\/a)\/a)**(-9\/5)*(a*a**(2\/3)*a*a)\/a**2 assuming a is positive.\nAnswer: a**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + f)*(3*f**3 - 3*f**3 - 3*f**4) + (4 + f**2 - 4)*(-f**3 + 37 + 46 - 18).\nAnswer: 5*f**5 + 65*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 - 360. Suppose -5*d - 12 = 4*g, 0 = 5*g - 5*d - 41 + 11. Let h be -2 + (-1 - -1*4). Sort h, r, g in decreasing order.\nAnswer: g, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 - 5*g**4 + 4*g**4)*(-598 - 61*g + 598) + (0*g**4 + g**4 + g**4)*(0*g + 2*g + 0*g).\nAnswer: 248*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -272. Let n(i) = -4*i - 44. Let h be n(-12). Suppose -7*c + 2*c + h*f = -z, -3*c + 5*f = -99. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31169 and -0.1507.\nAnswer: -31169.1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w**2 + 22*w + 21. What is i(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27833 + 27872. Solve -f*c + 141 = -171 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.49 and 5.\nAnswer: 17.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40754\/57 - -716. Find the common denominator of d and 47\/209.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 99 = 5*i - 897, 4*i = -16. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let m(f) = 204*f - 217*f - 2 + 2. Calculate a(m(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 21*t + 18. Calculate k(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**3 + 125*k**3 - 49*k**3 - 37*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 + -3)) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 337180.\nAnswer: 168590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 44, -3, -1, -2 in descending order.\nAnswer: 44, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241540, -483063, -724590, -966121, -1207656, -1449195, -1690738?\n\"Answer: -2*c**2 - 241517*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 12:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1389*s + 1389*s - 40*s**3)*(-5*s + 3*s + 3*s) + (2 + 1 - 1)*(-3*s**3 + 3*s**3 - s**3)*(-2*s + 3*s + s).\nAnswer: -44*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9) - 20\/(-15). Suppose -y + 2*v + 5 = 0, -5*y - r*v - 1 = v. Put -4, -2, y in descending order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3604 + -3?\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 758 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 7*u = -3*b + 10, 3*u + 6 = -3*b. Find the common denominator of 24\/u - 845\/(-240) and 94\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vooolvv. What is prob of picking 1 v and 2 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 21*d**2 + 1. Let s be (110\/1)\/(-5) - -5 - 2. Let u be (-21 - s)*2\/(-4). Calculate x(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 0*n = 462. Let p = 236 + n. Let l = p - 70. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002044346 to 6 decimal places.\nAnswer: -0.002044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 6:22 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 7}. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -100, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n**2 - 3*n - 4. Suppose 6*i - 25 = i. Suppose -16 = -i*y - o - 0*o, -4*y = -5*o - 7. What is x(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*b = -3*b - 42, -6 = -3*b. What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 30, 3.\nAnswer: 3, 30, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*k + 80*k = 48. Let j be (12\/k)\/((-2)\/4). Let a(p) = -7*p**3 + p**2. What is a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203 (base 4) to base 14.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1553 + -3?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 76*x - 22. Let l be h(-25). Solve -l*t + 14*t + 66 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 6264*w**4 + 6231*w**3 + 8562013*w**2?\nAnswer: -120*w**2 - 150336*w + 37386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0225 + 75.4225. Let k = -74 + d. Let s = -1.3961 + k. What is s rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 0\/(-1) + (-41)\/(738\/(-360)). Solve -5*z + 3*z + 5*w = -15, -2*z = 3*w + p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = -5*h. Suppose -z - 6 = 2*z. Let a = z + 6. Solve h*q = -a*j + 12, -3*j + 6 = -j + 4*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(931))*1 + -2)**2 + -4.\nAnswer: -42*sqrt(19) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 38. Suppose 0 = -4*z + 4690 - 4726. Determine x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**9)\/a*a**(3\/7)\/a)\/(a**3\/(a\/((a*(a*a**9*a)\/a)\/a))) assuming a is positive.\nAnswer: a**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (-1 + sqrt(2299))*-2 - sqrt(2299))**2*1 - (-1*(sqrt(209) + -1*sqrt(209) + sqrt(209)) + sqrt(209))\/(sqrt(396)*2 - sqrt(11)).\nAnswer: -88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*(a\/a**(-4\/5))\/a*a))\/a)**23 assuming a is positive.\nAnswer: a**(-207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 5487809.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 + 25*g + 28. Let l be p(4). Solve l = 2*m - 7 - 5 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a - 13. Let m be k(-7). Let i(d) = 1. Let o(s) = -2 - 2*s**2 + 0 - 1 - s. What is m*o(t) + 3*i(t)?\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 211, 217, 233, 265, 319, 401, 517, 673?\n\"Answer: z**3 - z**2 + 2*z + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 35*f + 7. Let m be (-15)\/10*(-68)\/(-6). Calculate the lowest common multiple of n(m) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/11 in -2, -21\/4, 0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 811.5719 days?\nAnswer: 70119812160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 10*s**2 + s + 13. Give v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysftfftsfffryfffyfy. Give prob of picking 2 y, 1 s, and 1 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - 50\/8. Let l(v) = -v**2 - v. Let a(u) = -12*u + 24*u - 16*u - 5*u**2. What is k*l(m) + a(m)?\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716986 to the power of 1\/2, to the nearest integer?\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -32*((-32)\/(-4))\/16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4634*m + 46027. Determine y(-10).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13803649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 44 = -4*m, 3*m + 8 = 5*m. Let k be f\/15 - (-32)\/(-10). Let b(v) = v**2 + 2*v - 4. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4 - 3*u + 3 - 5 + u. Let m be d(1). What is the second derivative of 55*t - 48*t - 4*t**5 + m*t**5 wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 3 + -14 + 23 - (6 + -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505 and 679959.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71301 + -0.02542.\nAnswer: 71300.97458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22330 - 2*d + 22330.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1372))*6 + 1 + (sqrt(42) - (sqrt(462) - (sqrt(462) + (2*sqrt(462) - sqrt(462))))\/sqrt(11))\/(sqrt(864) + 1*sqrt(864) + sqrt(864))*4)**2.\nAnswer: 10612*sqrt(7)\/9 + 4025917\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*d + 1122 = -423, -4*w + 5*d + 1254 = 0. Calculate the remainder when 1262 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25415\/6 + -4253. Find the common denominator of h and -67\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/3 - 3) + -25. Let a(x) = -4*x. Let b be (-30 - -23)\/(-2 - -1). Let v be a(b). Is v >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42294987 rounded to four decimal places?\nAnswer: 1.4229","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.74 + 1.93. Let q = -0.98 - j. Which is bigger: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 2 + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 20, 6, 1\/4, -6021 in decreasing order.\nAnswer: 20, 6, 0.4, 1\/4, -6021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1940308334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9717, -9830, -9943, -10056, -10169?\nAnswer: -10282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 976 and -277997?\nAnswer: -271325072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = 2*s + 2*x, -3*s = 3*x + 6. Let k be (s\/18)\/(2\/4). Let l = -11 - -15. What is the nearest to k in l, -1\/10, 5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191 and 1146.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -187, -223, -257, -289?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775.829 millennia in years?\nAnswer: 8775829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6472667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 86.5. Let k = -15 + l. Let p = k + -1.5. Do -2\/9 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*l = 5*l - 2, 0 = -l - 5. Let q(r) = -r**3 + r**2 - r + 1. What is the lowest common multiple of q(0) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/165381 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001761151 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -70143?\nAnswer: 70136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What comes next: -71420, -71408, -71382, -71336, -71264, -71160, -71018, -70832?\nAnswer: -70596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 266?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-30)*90\/4. Let d = z + -52. Suppose d*h - 9 = 1. Calculate the highest common factor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 42*w**2 - 39*w - 82. Suppose -2*h = 5*p - 92, 3*h - 2*p - 166 = -47. Let j be q(h). Which is the nearest to 0.2? (a) j (b) -3\/2 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qggg when four letters picked without replacement from gggqgyqgggqggggqqygg.\nAnswer: 143\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 - s**2 + s**2 + (-s + s + s)*(-3*s + 2 - 2) to h*s**2 + i + q*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.12159 rounded to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48240 < 48240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 11595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h - 1350 = 50*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(99\/((-5940)\/(-24))))\/((-1)\/(-1)*2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 33, 57, 85, 117, 153?\n\"Answer: 2*r**2 + 14*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 354. Let d(c) = 0*c**2 - 178 + 66 + 3*c**2 + 112. Determine b(d(p)).\nAnswer: 6*p**2 + 354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 227, 1080, 2715, 5288, 8955, 13872, 20195?\n\"Answer: 26*t**3 + 235*t**2 - 34*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25299, 25166, 25031, 24894, 24755?\n\"Answer: -p**2 - 130*p + 25430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/11 (b) -786 (c) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/1503 + -502\/1503. Which is smaller: o or 154?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqm when four letters picked without replacement from pqmqgqmqpqq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 28*u.\nAnswer: -u*(u + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18919313?\nAnswer: 7, 2702759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-28)\/(-12) - 3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*84\/18. Let i(j) = -4*j + 6. What is the remainder when i(y) is divided by (9\/12 + 0)\/(6\/144)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*z = 3*z + 48, 39 = 3*f - 4*z. Calculate the remainder when -4 - 0\/4 - -64 is divided by f + -7 + 14 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48959788 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58476\/(-990) + ((-40)\/50)\/((-1)\/5). Is -56 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2 - 3*p**2 - 6*p + 3*p - p. Let i(o) = -3*o**2 + 1. Let t(c) = -c**3 - 8*c**2 - 7*c + 1. Let s be t(-7). Let h be i(s). Determine r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416812 (base 9) to base 5.\nAnswer: -30412130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63b4 - -33ae?\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, -0.178, -179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/383775 and 37\/9933.\nAnswer: 4221525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/5 + z**4\/6 - 7*z**2\/2 + 2*z - 95. Let q(w) = -3*w**3 - 2*w**2 - 5*w**3 + 5*w**3 + 6. What is 5*l(d) + 6*q(d)?\nAnswer: 2*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-8))\/(4\/(-6)*15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174171 divided by 1.\nAnswer: 174171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - i - 3 = 0, 6*j = 3*j + 2*i + 6. Suppose 5*d - 2*d + 6 = j. Does 10 divide (0 - 1)*(d - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12723 is divided by 303.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.65 + -2.64881. What is a rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + z**5\/12 + z**4\/8 - z**3\/3 + 3*z**2. Determine o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9785609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12321200213 + 3?\nAnswer: 12321200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4, 2, 89 in decreasing order.\nAnswer: 89, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*s + 33, -i = 5 - 12 + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*m**3 - 28*m**3 + 68*m**3 + (2*m - 2*m - 2*m**3)*(-2 - 2 + 2) + 4*m**3 - m**3 - m**3.\nAnswer: 73*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 + 0*u**3 + 0*u**3 - 3*u**3 + 4*u**3 + u**3 - 19*u**3 - 5*u**3 + 3*u**3 + (u**2 - 2*u**2 - u**2)*(3*u + u - 3*u).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.7 - -5. Which is the closest to -0.01? (a) u (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2518 + -2516. Solve -14*b + 9*b - s + 30 = 0, 0 = -h*s + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**2*k**5*v + 12*d**2*k**4*v + d**2*k**2 - 2*d*k**2 - 3*d*k*v wrt k.\nAnswer: 300*d**2*k**2*v + 288*d**2*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836846 divided by -578638?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Suppose s = 5*n - 0*n. Let u(v) = -v**2 + 6*v - 3. Let b be u(5). Solve 2*p = b*c - n*c - 8, -c - 1 = 4*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.7 <= -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1201*j + 137. Let x(v) = -600*v - 78. Calculate -4*n(b) - 7*x(b).\nAnswer: -604*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*b - 52 = 68*b. Suppose b + 8 = 7*j. Suppose 5*l = -5*q - 52 + 137, 0 = j*q - 5*l - 19. What is the greatest common factor of 143 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 - -0.3. Let s be -3 + (-1)\/5 + 28\/(-10). Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15746 - -8061955\/512. Let v = -1475\/512 + l. Calculate the common denominator of v and 47\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-24)\/20)\/(-2). Suppose -4*r - 5*u + u = -20, -r - 4 = -2*u. Suppose 2*o + 71 = 2*m - o, r*o = -n*m + 100. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -150. Solve -2*q = 2*i - 10, -4*q + b*i = -2*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5904 and 96.\nAnswer: 11808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1517338571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -b7ac6 (base 13) to base 5\nAnswer: -41101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 25763148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-76)\/6)\/((-68)\/102). Solve i - w = 5*f, 7 = -56*f + 51*f - 2*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o - 72. Let y(v) = -5*v - 54. Let x(k) = -3*j(k) + 4*y(k). Let t(m) = -m. Suppose l = 6*l + 10. Let h be (0 + l)\/(2\/3). Determine h*t(c) + x(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose r*i - 2 = -b, 3*i + 12 = -4*b - b. What is the hundreds digit of ((-16)\/3 + 2)\/(b\/99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 4*i. Let j be x(-3). Solve g = -5*o + 2, -3*o + 0*g = j*g + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4319775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127118077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/9*o + 2\/9*o**3 + 64\/9 + 20\/9*o**2.\nAnswer: 2*(o + 2)*(o + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 2514 - 414. Is 38 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19552138 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (4 - 7) - (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-3)\/5) - -3. Let z(c) = -c - 11. Let j be z(-9). Calculate the lowest common multiple of 16 and 1*15 - l\/j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 10*a - 9. Let f be n(-8). Does 3 divide f\/5 - (-2)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - s**3 + 2*s**3 + (3*s**2 - 3*s**2 + s**2)*(-3*s - 3 + 3) - s**3 + 2*s**3 - 3*s**3 in the form z*s + r*s**3 + h*s**2 + a and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 7*x**4\/24 - 5*x**2. Let y(l) = 3*l + 2*l - 2*l. Determine y(d(n)).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 8935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*f - 45, 0 = 5*f - 2*s + 3*s - 39. Suppose -3*p - 400 = -f*p. Suppose 5*c = 45 + p. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + 0\/(-3 + 0). Suppose h*i - 25 = -4*r, 4*i + 5*r = i + 29. Solve 5*b = -i*a - 25, -4*b - 1 - 22 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 - 1 = 10213*r - 10191*r. Solve -12*w - r*w = 44 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(2)*-4*6*-4 + (sqrt(18)*-1*-4)\/((sqrt(27) - 2*sqrt(27))\/sqrt(3)).\nAnswer: 572*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/5 - 11*g**2 + 95*g - 225 = 0 for g.\nAnswer: 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and -101\/1352.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmbtx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17543*x**3 - 79 + 5*x**2 + 79 - 5*x**2.\nAnswer: -17543*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -0.0429, 5\/4, -2\/13, -0.1, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(9)\/sqrt(3) + (sqrt(192) + -2 + sqrt(192))**2 + ((sqrt(363) + 0)*4)**2 + ((sqrt(360)*2)\/sqrt(12) - sqrt(30) - sqrt(30))\/sqrt(10).\nAnswer: -65*sqrt(3) + 6583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2 + 211*t + 6 + 4 - 1. Let f be b(3). Suppose -g + f = 4*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (1 - -16) - (4 + -10 + -5).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/41635 + -14373\/208175. Find the common denominator of 69\/275 and j.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3*h - 11)*(-2*h**2 + 9*h**4 - 34 + 34).\nAnswer: -27*h**5 + 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t**2*x**2 - 30927743*t**2*x + 20560*t**2 + t - 7 wrt x.\nAnswer: -12*t**2*x - 30927743*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(5\/(-50)*-5)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27788\/(-125046)*(-333)\/(-2)*-1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, y: 1, d: 1, t: 1, h: 1}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b - 228. Calculate g(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 775*j**2 + 221*j + 19*j - 240*j. Let a(r) = -2*r**2. Give b(a(k)).\nAnswer: 3100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let f = g - 0. What is the second derivative of -5*p**f + 9*p + 123*p**3 - 123*p**3 wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z\/(z\/(z*z**(-13)\/z))))*z*z*z*z**(-1\/3)*z assuming z is positive.\nAnswer: z**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 6*d + 2*d. Let c(l) = l**2. Determine v(c(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.83 - 0.17. Let p = 0 + s. Let x = -3 - -5. Which is the biggest value? (a) p (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Let b(v) = -3*v - 65. Suppose t + 48 = -2*q + 3*t, 4*q + 93 = t. Let f be b(q). Solve m*a + 5 = f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 b when three letters picked without replacement from {b: 4, d: 3, l: 1, y: 4, k: 1}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4900)\/735)\/((2\/(-6))\/1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217086549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnncyq. What is prob of picking 1 y and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.8*-0.04.\nAnswer: -0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -879961?\nAnswer: -879962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshksghsgisnsgnssss. Give prob of picking 2 n, 1 g, and 1 k.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 66*d**2 - 82*d - 175. Is j(-67) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 86233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160718332 to the nearest integer?\nAnswer: 12677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = -10*u + 70. Suppose 50 + 65 = 5*a. Suppose 25 = u*o - a. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4 + 6*h + 5*h + 10*h - 25*h. Calculate p(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6667.1\nAnswer: -6669.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**1\/((c*c\/(c**2\/c))\/c**(2\/11)))**(-5\/2) assuming c is positive.\nAnswer: c**(25\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 32*w. Let z(l) = -2*l**2. Calculate z(x(a)).\nAnswer: -2048*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 41 = 2*h - h, -2*l + 10 = 0. Let q = h - 20. Let m(x) = -15*x**2 + x - 1. What is m(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*s + 9, -4*a + 2*a = 3*s - 16. Let k(d) = d**3 - 5*d**2 + d. What is the smallest common multiple of k(a) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -3*q + i, -i = q - 2. Suppose 2*p + 5*w = -2, -2*w - q = -p + 2. What is the smallest common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8 = 2*g + 5*z, 3*z + 7 = 4*g. Let y = 819 - 810. What is the highest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 4*z - z)*(3 - 4 + 0) - 4 + 2*z + 4 - 6*z - 3*z - 38*z as k + r*z and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:41 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90488267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 5:28 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/21654 and -89\/216.\nAnswer: 86616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rab when three letters picked without replacement from bbbrarrubaambra?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42*3455\nAnswer: 145110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c = 0. Let l(p) = 2*p**2 + c*p**2 - 5*p**2. Let d(f) be the third derivative of -f**4\/6 - 128*f**2 - 1. Give l(d(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2 = 2*n, 237*z - 8*n = 231*z - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 923175178, 923175180, 923175182, 923175184, 923175186?\n\"Answer: 2*x + 923175176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -23. Let c(u) = 61*u + 70. Let l be c(-1). Solve 0 = 4*o + 5*y - 2*y - 11, -3*o + l = m*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2270690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 33*l**2 - 290*l + 458. Calculate y(14).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 850 = 0. Suppose -15*g - 2*g + d = 0. What is the remainder when 167 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1776 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 1 - 1)*(-3 - 7 + 2).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g + 10*g + 20. Suppose -g*m + 9 = 34. Sort -6, m, -3, 4 in ascending order.\nAnswer: -6, m, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n + 2. Let i(t) = 252*t + 255*t - 498*t - t**2 + 5*t**3 - 8. Let v be i(1). Let z(c) = 8*c + 3. Calculate v*z(j) - 6*f(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -476706 (base 8) in base 6?\nAnswer: -3255514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -526, -2118, -4770, -8482?\n\"Answer: -530*d**2 - 2*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34130 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/(2\/(-12)). Suppose -5*q - 23 = -p. Let s(n) = -4 + 4*n - 2 + 7 - n + 2. Determine s(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + -0.9. Let s = y - -0.2. What is the biggest value in s, -1\/5, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 183?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.92 + -4.92. Which is the third smallest value? (a) 3\/5 (b) 0.12 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 23 = -4*b - 5*w, 2*w = -5*b - 46. Let h(v) be the first derivative of -v**4\/4 - 3*v**3 - 7*v**2\/2 + 11*v + 2. What is the units digit of h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/16 + 9\/(-45). Which is the nearest to -9? (a) 0.4 (b) -0.2 (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*z + 69. Let w = z - 17. Which is the fourth smallest value? (a) w (b) 2\/3 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254 + -247. Sort -3, -2, k, -4 in decreasing order.\nAnswer: k, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -3, 1 in descending order.\nAnswer: 9, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d**4 - 7*d**4 - 3*d**2 + 7*d**3 - 2*d**4 - 4*d**4 + 39*d - 1 to t*d**3 + i*d**2 + b*d**4 + g + h*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003877 to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i*v**2 + 2024*i + 2*v**2 - 1623*v wrt i.\nAnswer: -3*v**2 + 2024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:06 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h - 242*h - 3006 - 1386 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 9. Let v be m(4). What is the smallest common multiple of 2 and v\/(-2) - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -94, -18.\nAnswer: -94, -18, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 39645?\nAnswer: 4\/4405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 greater than or equal to 285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.784 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22566 - 9?\nAnswer: -22574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/40 + 113\/440. Let x = -11 - -11. Let r = x + -5. Which is the closest to -1? (a) r (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssqsssssqsqqsssq. What is prob of sequence ssqq?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 57. Let q = d - -95\/2. What is n in -q*n**2 - 3\/2*n**3 + 3\/2 + 3\/2*n = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3 = j, 9*j + w - 21 = 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = z + 1804. Suppose 180*m - 400 = z*m. Solve 2*n = -3*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/176 and 55\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433718*r**3 + 457168*r**2.\nAnswer: -2602308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5981610578.\nAnswer: 2, 317, 9434717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -903545*m**2 + m. Let j(z) = 3*z. Calculate v(j(x)).\nAnswer: -8131905*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 232, 512, 902, 1402, 2012, 2732?\n\"Answer: 55*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686*a = -721*a + 315. Solve 5*g + 6 + a = -2*o, -5*o - 22 = -3*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 6*a - 62. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 36\/(-21). Let n = 231 + -236. What is the third biggest value in -2\/9, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*s + 12, -161*s - 86 = 4*f - 167*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Let b(i) = i + 1. Let u be b(-4). Let q(s) = s**2 - 2*s - 1. Let p be q(u). Calculate the greatest common factor of m and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 3. Let r be s(2). What is the remainder when (9 - -107)*(10\/4)\/5 is divided by (-30)\/(-3 + 1)*r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 339 = -343, -4*y - 81262 = -5*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*u**3 - 2*u**4 + 3*u**4 + u**2 + 247*u**3 - 496*u**3 + 3*u to n + f*u**4 + h*u**3 + q*u**2 + a*u and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -72*g**2 - 7*g + 19. Let m(x) = -39*x**2 - 4*x + 10. Determine -5*m(q) + 3*v(q).\nAnswer: -21*q**2 - q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1245321 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0 + 0*q + 1\/6*q**4 - 7*q**2 - 13\/6*q**3. Calculate the remainder when 89 is divided by w(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -712 - -3719. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06313 - -0.064. Round h to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087462 is divided by 9062.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/78)\/(((-12)\/((-216)\/45))\/(-81)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 32 = 15*p. Let q be (-1 - 12\/(-3)) + 23\/p. What is the closest to 1 in 1\/7, -2\/9, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 92*u + 257. What is z(-48)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkksskkksks. What is prob of sequence ks?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:10 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) -204 (b) 4\/3 (c) -0.23 (d) 9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4490 divided by 12651?\nAnswer: -4490\/12651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9575 is divided by 531?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1035.76 - 1144.7. Let p = -109 - s. What is the closest to p in 0, 5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 10. Let q be f(8). Suppose 5*j - 3*j = 8. Suppose -4*o = -o - 4*i - 21, 0 = 2*o - j*i - q. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35863\/8 + -4494. What is the common denominator of -67\/36 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.948039+-0.4\nAnswer: 0.548039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbe when three letters picked without replacement from rsbpbpepperrprspepb?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -5*6*(1 + -3 + sqrt(126)\/sqrt(2)) + -2)*-3)**2.\nAnswer: -98820*sqrt(7) + 543789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1857 - 1901 + 23*q**3 + 8*q**3 wrt q?\nAnswer: 93*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 30.33, 3\/7, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6 + 20\/12)*-4. Let o be (g\/(-16) - (-1)\/(-4)) + -5. Let y be 1\/(3 + o\/2). Solve r = 4*q - 0 - 1, -y*r = -2*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1336.80462 to the nearest ten.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/5 + 34*o**2\/5 - 6112*o\/5 - 6144\/5 = 0.\nAnswer: -64, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-10))\/((-24)\/(-960)). Suppose 0 = 42311*z - 42330*z + 10032. What is the greatest common factor of l and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 848*f - 721*f**4 - 315*f + 553*f**3 + 722*f**4 wrt f?\nAnswer: 12*f**2 + 3318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53325530*n - 759 = 53325507*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 7*c + 10. Let x be 9\/((-81)\/(-42)) - 14\/21. Suppose -3*r - 27 = 3*w + 2*r, -36 = 4*w + x*r. Determine f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -45995*q**2 + 3*q - 10. Let c(u) = -u**2 - u + 1. Let b(l) = -4*c(l) - r(l). Let t be b(3). What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 3*u + 1348, 0 = -3*u + 12. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-319)\/(-33) + -11 - (-5446)\/(-6). Let z = s + 904. Put -42, z, 4, 3 in decreasing order.\nAnswer: 4, 3, z, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - ((0 - 20) + (-249 - -267))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Let n = 1 + j. Suppose 0 = n*p - 118 - 30. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 1 (b) -5 (c) -1\/4 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1815.799956741 - -1815.8. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 - 239. Let l = -36 - v. What is the remainder when 25 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 5*v**4\/6 - 35*v - 1. Let n(l) = -l. Give n(a(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + 5 + -15 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100052 = -785*q - 72577 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1176 = -6579. Let q = 25201\/14 + s. Calculate the common denominator of q and 101\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - -1.7. Let o = 23.1 - 37.1. What is the smallest value in -2\/15, 4, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821.461kg in micrograms?\nAnswer: 9821461000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*c - 8*k - 356, 0 = 3*c + 4*k - 236. What is the highest common divisor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*k**3 + 94*j**3*k**2*z + 13*j*k**6 + j*k**2*z - 2*j*z + 6*k**4*z wrt k.\nAnswer: 6*j**3 + 1560*j*k**3 + 144*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 97 and 5?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f - 3*f + 53*f)*(-3 - 4*f + 3) - 18 + 18 + 10*f**2 to u*f**2 + p*f + b and give u.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39754912 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31382 (base 10) in base 16?\nAnswer: 7a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 10071 + -10079. Let b = 312 + -961\/3. Which is smaller: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(66\/20)*-12. Suppose 5*a = -5*n + r, -n - 5*a + 18 = -2*a. Suppose g - 4*p = n*g - 156, -152 = -2*g - 5*p. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19242 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14576 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.01, -3, -2\/5, -180.\nAnswer: -180, -4, -3, -2\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -0.08. Let z = -2.5133 + 2.4933. Which is the fourth smallest value? (a) 3 (b) w (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 198. Let v be ((-72)\/15)\/(-6) - f\/5. Which is the closest to -0.7? (a) 0.2 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m**2 - 6*m + 7. Let p be s(1). Let z(b) = 5*b + 5. Let l be z(-2). Sort l, p, -3 in increasing order.\nAnswer: l, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1094319 (base 10) to base 15.\nAnswer: -169399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580333.41 to the nearest one thousand.\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 30*c + 20. Let b be k(-13). Calculate the smallest common multiple of b\/(-20)*330\/(-12) and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11869 is divided by 165.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-21)\/138)*14*(-99)\/924.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-56) + (0 - (-800)\/(-56))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826501363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 2*z = 429. Let k = z - -43. Suppose -2*d = -2*u - 388, -363 = -4*d - k*u + 453. What are the prime factors of d?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 912 + -912. Sort 2, i, -7.4, 0.4 in decreasing order.\nAnswer: 2, 0.4, i, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 60 - 10. Suppose 2*y = 5*n - 6 - 26, 5*y = -5*n - t. Let w be 3\/1*(-256)\/y. What is the highest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 134*g**2 - 3*g - 4. Is i(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 1 = -29*k. Let q = 1 + -1. Put k, q, -1 in descending order.\nAnswer: k, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279960 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89, 84, 77, 68, 57?\n\"Answer: -u**2 - 2*u + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189*i**2 + 2331*i**2 - 1139*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 5. Let y be i(4). Let f(j) = 5*j**3 - 8*j**2 + 64*j + 8. Let a(n) = -3*n**3 + 6*n**2 - 41*n - 5. Let o(m) = -8*a(m) - 5*f(m). Calculate o(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20791821.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 566341*t - 243019 with respect to t.\nAnswer: 566341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 6. Let f be (0 - 2)\/(1\/k). Solve -f*u + 9 = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.758 + -4.758. Suppose -4*s + 4*g = -12, -7 - 3 = 5*g. Which is the closest to s? (a) -2\/9 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = -4*d, 6*x + 5*d = x - 20. Suppose -r - 4*r + 170 = x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -34, -135, -340, -685, -1206?\n\"Answer: -6*u**3 + 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**2 - 148*c + 2*c**3 - 27*c**2 + 22*c**2.\nAnswer: 2*c**3 - 49*c**2 - 148*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 5*v + 14. Let m be s(7). Suppose m = 2*f + 4*l - 58, 3*l = f + f - 72. What is the units digit of f\/2 + 19\/(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 20234321?\nAnswer: 20234323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udmudmmm. Give prob of sequence dd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 692999*z**2 + 145*z. Let f(p) = -3*p**2. Calculate h(f(x)).\nAnswer: 6236991*x**4 - 435*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74 or 73?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14128 - -339169\/24. Calculate the common denominator of 151\/6 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -1)*(-1 - 1). Let j(f) = -8*f**2 + 2*f - 12. Suppose 5*c - k = 4 - 7, -4*c = -2*k. Let y(m) = 1 + 56*m - 56*m + m**2. Calculate c*j(b) + h*y(b).\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14716974, -14716980, -14716986, -14716992, -14716998, -14717004?\nAnswer: -14717010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 + 9\/(-6)*-4 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13551220 - 13551212.1999922. Let c = -51.8 + 44. Let l = f + c. Round l to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2643, 2725, 2807, 2889, 2971, 3053?\nAnswer: 3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let y(p) = -759*p. What is y(k(h))?\nAnswer: 2277*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 336. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -116*d*z + 3*d - 594*z**2 - 8713 wrt z.\nAnswer: -116*d - 1188*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -51. Suppose 0 = -d - 2*y - t, y - 43 = 3*d - y. Let i = -18 - d. Is i bigger than 3\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) -0.19 (c) 82\/29 (d) -3\/11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -215125 (base 6) to base 10\nAnswer: -17981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 3*z + 140 = 0. Calculate the lowest common multiple of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13810\/7 - 1978. Calculate the common denominator of -46\/113 and r.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 297440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 13. Let m(q) = 3*q - 20. Let n(t) = 8*l(t) + 5*m(t). Let u be n(0). Let p(f) = -5*f**2 + 42*f - 12. Let z be p(8). Solve -u = -4*g + z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -949302281.\nAnswer: -949302281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 5*a = 16, 3*a - 14 = 5*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59269092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9348109 is divided by 111287.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19509*c + 1268021. What is m(65)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 185, 257, 335?\n\"Answer: 3*c**2 + 57*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:18 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 43 = -o, 3*k = -5*o + 2*o - 21. Let w(c) = -c**2 - 9*c. Let t be w(k). Suppose -5*m + 0*m = t. Solve 2*b + 4 = -m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b - 9. Let h = 1 - b. Find the second derivative of 5*f**h + f - 2*f**4 - 2*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 136. Let t = 28 + p. Let n = -3 - t. What is the remainder when 25 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1417\/3 + -5671\/12. Suppose 4*x + 10 = 9*x. Put 19, x, p in descending order.\nAnswer: 19, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 349762858.999889 + -349762602. Let r = 257 - o. What is r rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/3 - h**2 + 2*h - 2. Let d be x(2). Suppose -2*t = -d*i - 6, 9 = 5*t + 5*i - 6. Solve 4 = -t*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 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: In base 9, what is -858 + 80385?\nAnswer: 78426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((408\/18)\/17)\/((312\/(-162))\/26)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, u: 2, n: 1, k: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g**2 - 14*g**2 + 12*g**2)*(0 - 3*g + 0) in the form q + a*g**2 + b*g**3 + w*g and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + 3*(-1 + sqrt(1377)) + -4)*-1 + 4)**2.\nAnswer: -648*sqrt(17) + 12539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -630, -623, -618?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3\/5 + 63*h**2\/2 - 312*h\/5 - 15279. Find l, given that k(l) = 0.\nAnswer: 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1903820289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40652320?\nAnswer: 2, 5, 41, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -419, -439, -425, -359, -223, 1?\n\"Answer: 3*k**3 - k**2 - 38*k - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = 1. Calculate the common denominator of 73\/22 and 0\/h + (-34)\/28.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(3 - 2)*4. Suppose 0*i + 16 = -2*i + 4*q, 0 = -4*i + 2*q - 8. Solve i = -3*v - 5 - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 3*p + 34, -5*x + 5 = 2*p + 36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184 = -702*l - 2730 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.359 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 4 - 3 - 4282*m**2 + 7*m**3 + 4280*m**2 to g + r*m**3 + i*m**2 + c*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2341*o + 41417 = 144421 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 4*n - 30. Let b(u) = -17*u**2 + 11*u + 90. Determine -4*b(t) - 11*p(t).\nAnswer: 2*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45444 divided by -2?\nAnswer: -22722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - 60\/(-8))\/(-15 + 0). What is the biggest value in 0, a, 2\/89, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 5. Let g be z(-7). Suppose -2*u - 5*i + 30 = u, -g*u + 16 = 2*i. Find the third derivative of -6*j**u - j**2 + 0*j**2 + 3*j**5 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1866 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 44*u**5\/5 - 254*u**3\/3 - 371. Find the third derivative of s(x) wrt x.\nAnswer: 1056*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {d: 1, z: 3, x: 1, b: 3, e: 3, k: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179\/17 greater than 247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 293, 298, 303, 308?\n\"Answer: 5*w + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:21 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019945844 is divided by 353.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566547 is divided by 316.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2559 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 504750 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from {w: 6, o: 2, c: 2, r: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 61*o + 19. Give b(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -17*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.54 + -26. Let n = x - 0.04. Let d = -3 - -2.7. Which is the nearest to 3? (a) 1 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*d - 11 = 0, 3*h = -0*h - 5*d. Sort 3, h, 0 in descending order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three quarters of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 4*y**3 - 25 - y**3 - 5*y**3 + 8*y**4 + 5*y**4 - 15*y**4 as f + i*y**3 + a*y**2 + s*y + w*y**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 2*t. Let g = 8 - t. Solve 3*i + g*i - r = -2, -6 = -3*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 - 6307*k**3\/5 + 2653563*k**2 - 9327206713*k\/5 + 37096945204\/5.\nAnswer: (k - 2101)**3*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -36 + 74 + -61?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(-1)\/(-2). Let j = -0.3 - -0.1. What is the closest to j in 3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 k, and 1 s when four letters picked without replacement from zqzzzzbqqksq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 110021111?\nAnswer: -110021103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*x - 267*x - 536*x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 6 + (2 - 11 - -9) + -10 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (0 - (-8 - -4))*210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8370 is divided by 5216?\nAnswer: 3154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22049*s = -22055*s - 114 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 2. Let n(k) = 5*k - 5. Determine -5*c(w) + 2*n(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*m - 1)*(3940*m**3 - 1748*m**3 - 1551*m**3) to the form j*m**2 + r + i*m**3 + s*m**4 + v*m and give s.\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.51. Let n = -4 + 3.9. What is the closest to 1\/3 in 4, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103380 and 4860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1566, 2442, 3306, 4152, 4974, 5766?\nAnswer: 6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 11*m**2 - 13*m + 9. Suppose -2*n = -3*x + 17, -n = 2*x + 2*x - 41. Let a = x + 3. Let h be o(a). What is the biggest value in h, -5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 - 28) + 82 + (35 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 2. Let d(f) = 1. Let b(q) = 2*d(q) + r(q). Suppose -3*k - 21 = 3*t, -t = -0*k - k + 3. List the prime factors of b(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/240 and -41\/17040?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus -22.919760709?\nAnswer: 19.519760709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 54*t**2 + 890*t + 5550.\nAnswer: -2*(t - 15)*(t + 5)*(t + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 88*m**6\/15 - 199*m**2\/2 - m - 48. Find the first derivative of l(g) wrt g.\nAnswer: 704*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 320032932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = 2*a. Solve a = z + z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494358782?\nAnswer: 2, 3, 7, 31, 113, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2277 - 15394?\nAnswer: -17671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/46546 and -29\/310.\nAnswer: 7214630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4131) + -1*sqrt(4131)*1)*-1)\/(2*sqrt(192) - sqrt(192) - (sqrt(27)\/sqrt(9) + sqrt(3))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x = 18393 - 18393 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -2738.8?\nAnswer: 2733.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92415968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 62 = 5*p, -3*p - 3*s - 178 + 244 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 555*b = -557*b - 25, 4*c + 192 = -2*c + 9*b for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-8)\/72)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i**2 - 560*i - 61. What is r(-43)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/10 + 28\/70. Let j = -7 - -3. Sort y, j, 6 in descending order.\nAnswer: 6, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (73811283\/(-130))\/(-21) - 2\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 3:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -11533.\nAnswer: -11532.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 16 + (187 - 214).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = -5*f - 5*d, 0 = 5*f + 2*d + 10. Let t = -25367\/34482 - 2\/821. Let g = t - -5\/21. Is f smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 0.2 (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4\/7 - 33*y**3 - 8874*y**2\/7 - 11388*y - 17976 = 0.\nAnswer: -14, -2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145818057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*m**4 + 8*m**2 + 0*m**2 - 2*m**4 + 16*m**2 wrt m.\nAnswer: -336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let g(n) = -n - 1. Give -2*g(k) - u(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24020 - -24020.44984. Round r to two dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0 - -1)\/(-7). Let m = -2.4 + 2. Let j = 1.4 + -0.4. Which is the closest to -2? (a) m (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4 - 8. Let m(p) = g*p - p - 3*p. Let s(f) be the first derivative of -2*f**3\/3 + 75. Give s(m(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:05 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*m - 183 - 68 - 241 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2009007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4605?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 480\/7 - 172\/7*q + 4\/7*q**2 = 0.\nAnswer: 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 639204 and 5965904.\nAnswer: 17897712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g - 22*g + 258 = 0. Let t be (-7)\/(1 - 0) + 2. Let f be ((-3)\/(-34))\/(t\/10). What is the second biggest value in g, f, -2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-20) - (-8)\/10. Suppose -8*y = -v*y, -a + 2*y = 0. Suppose 3*c = 0, 2*s + c = -3*s + 15. Solve -s*t = -a*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40058, -39869, -39680, -39491, -39302, -39113?\nAnswer: -38924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by 305?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084346 (base 9) in base 16?\nAnswer: -8f57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15963260*k*n**3 - 2*k*n + 53*k - 10583*n**2 wrt n.\nAnswer: 95779560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8389 is divided by 291?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 470836806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gulkkkbgljju. What is prob of sequence jl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4505.\nAnswer: 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3113 = -2*w, 4*w - 9*w = -3*a + 9317. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*y + 2*y - 2016 = 0, 4*y - 1517 = -3*a. Factor 523*j - 1 + 1 - a*j - j**2.\nAnswer: -j*(j - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -246. Let s = l + 182.0000465. What is s rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413012111 - -10?\nAnswer: -413012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q*t**5 + 1784*q*t**4 + 2*q*t**3 - q*t**2 + 110*q*t + 14*t wrt t.\nAnswer: -180*q*t**2 + 42816*q*t + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 10. Let o be r(-7). Let h = 0 - o. Let q(l) = -2*l. Let i(g) = 13*g + 2. Let y(j) = i(j) + 6*q(j). Let a(c) = -c - 2. Give h*a(d) + 2*y(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/291 and 2\/357.\nAnswer: 34629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100102 + 11011?\nAnswer: 111113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 12. Let s(c) = 10*c + 12. Let i(q) = 3*r(q) + 2*s(q). Let x(l) = 6*l + 11. Let h(p) = 5*i(p) + 6*x(p). Let g = 3 + -3. What is h(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2)*-16*1. Let k = 58 + -40. Let z = k - p. Solve -z*s - 1 = -s, 2*s = -d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31*v - 3. Let f be q(-3). Calculate the highest common factor of f and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587, 725, 863, 1001, 1139?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/5)))\/((p\/(p*p**9*p))\/p))\/(p\/(p*p**(1\/6)*p))**(-33) assuming p is positive.\nAnswer: p**(-273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**5\/10 - q**4\/12 + q**3\/3 + 3*q**2\/2 - 254*q. What is d(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.066 + 8.966. What is the fifth biggest value in v, 2, 0.012, -6, 2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13950 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -396 - -427. Suppose v*x - 15 = 36*x. Put x, -0.2, -7\/6, 2\/11 in ascending order.\nAnswer: x, -7\/6, -0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = 0. Let w = 0.2297 - -4.7703. Which is the nearest to 16? (a) 4 (b) w (c) f (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -284291 and -284291 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.27047 + 3.4247. What is u rounded to three dps?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7348519l to millilitres.\nAnswer: 734.8519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrsgggrwstbwsrrgt. What is prob of picking 2 r, 1 s, and 1 g?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-3))\/(3\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:00 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c. Let k(x) = -5*x**2 + 5. Suppose 5*g + 1 = q, -3*q + 4*q + g = 1. Let l(u) = q*k(u) - 6*d(u). Factor l(b).\nAnswer: (b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/804671 and 91\/4598120.\nAnswer: 32186840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 2. Let j(m) be the third derivative of -4*m**5\/15 + 11*m**3\/6 - 18*m**2. Determine 6*j(u) - 33*n(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -b. Suppose 0 = t + b*i + 19, 4*t + 2*i = 5*t + 24. Let m = 23 + t. Do m and 1\/16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d**2 - 3*d**5 + 13*d**2 + (11 - 11 - 2*d**2)*(3*d + d**3 - 3*d) + (0 - 2*d + 0)*(-3*d**2 + 3*d**2 - d**4).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/29260 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909018843.\nAnswer: 3, 19, 15947699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -84) + (2 - (8 + (-2 - -3))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 11788*u**5\/5 - 1942*u + 3117. What is the first derivative of j(v) wrt v?\nAnswer: 47152*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + q - 1. Let w(y) = -6*y**3 - 16*y**2 + 16*y - 16. What is -48*j(c) + 3*w(c)?\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9556 is divided by 921?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.86, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3546157540.\nAnswer: 2, 5, 43, 4123439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 334*l + 128. Give n(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - n - 24 = 0, -9 = -3*u - 4*n. Suppose -u*w + 3*w = -220. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7581973?\nAnswer: 7, 23, 47093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 - 4*w**2)*(-4*w + 7*w - 2*w) + 6*w**3 - 2*w**3 - w**3 + (-w + 1 - 1)*(-4*w**2 + 2*w**2 + 4*w**2).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/4 - 933*j**4 - 146037*j**3\/4 - 71151*j**2\/2 = 0. What is j?\nAnswer: -37, -1, 0, 1282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/sqrt(81) + sqrt(32) + -4*sqrt(96)\/sqrt(3) - 4*(sqrt(2) + 1 + 1 + sqrt(2) - (sqrt(128) + sqrt(128) + 1 + sqrt(2) + sqrt(2))))*-3 + -2)**2.\nAnswer: -3200*sqrt(2) + 51300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + 2*q - 60. Let d(o) = o**2 - o + 30. Let x(h) = -5*d(h) - 2*p(h). What is the tens digit of x(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(24\/42)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -24, -6, 12, 30?\n\"Answer: 18*q - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749591*r**2 + 749599*r**2 - 4*r**3 + 749604*r**2 + 4*r**3 - 2248794*r**2 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0.065, -2\/11, 2?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 698, 1402, 2110, 2828, 3562, 4318, 5102, 5920?\n\"Answer: u**3 - 4*u**2 + 709*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 - 28419*b**4 - 6*b**2 - 39*b - 30 wrt b?\nAnswer: 120*b**2 - 682056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -409969431.128 - 273?\nAnswer: -409969704.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 588, 1, 3, -1 in descending order.\nAnswer: 588, 9, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10*d + 3*k + 560, -3*k + 560 = 5*d. Calculate the highest common factor of d and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -4 - 2*93. Let a = n - -400. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from umwm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/((b*(b\/((b**(-2\/3)*b)\/b*b*b))\/b*b*b)\/b))\/(b**(1\/3)\/b**2)*(b*b**(-1))**(-13)*b**(-1\/6)*b**(-5) assuming b is positive.\nAnswer: b**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14788\/82225 - -1\/6578. Let j = -217\/650 + y. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 - 4*r**2 - r + 4. Suppose -5*g - 15 = -0*g. Let h(w) = -6*w**3 + 3*w**2 + w - 3. Let m(x) = g*d(x) - 4*h(x). What is the units digit of m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*v - 37*v - 1 - 54*v + 2*v**2 - 4*v**2 to the form i*v + h*v**2 + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316 and (0 - (-6)\/8) + (-770)\/(-40)?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/15))\/n)\/(n*n**(-1\/18))*(n\/n**(-10))\/(n**(-14)\/n) assuming n is positive.\nAnswer: n**(2249\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*n**5 - 84*n**4 - 99*n**3 + 114*n**2 + 156*n - 72 = 0. What is n?\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7952 and 11360.\nAnswer: 79520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 2*z + 2, 28 = 4*s + z. Solve -2 = -4*i - s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 - 377. Let t(g) = g**3 - 28*g**2 + 39*g - 67. Let u be t(x). Is 256 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1668 is divided by 237.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v. Let w(s) = -1566557*s**2. Give w(x(j)).\nAnswer: -39163925*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.6 - -0.6. Let s = l + 30. Let w = -19 + s. What is the second biggest value in 4, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 5*z + 9. Let a(x) be the third derivative of -x**5\/30 + x**4\/8 + 5*x**3\/6 + 3*x**2 - 57*x. Determine 5*a(s) - 3*h(s).\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 1853 = 4*x. Let p = 444 - x. Solve -13*c - p = -10*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 4837741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 - 2*a - 1. Let g be u(-1). Suppose -2*p = -0*p. Solve p*i + g = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Let z(b) = 4*b. Suppose 12 = 4*l, -4*l = 4*t - l - 65. Calculate the lowest common multiple of t and z(f).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 12*x**2 - x - 7. Let b be a(-12). Solve -5*i = 0, b*n + i + 3*i - 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42925*c**3*t - 2*c**2*t - c*t - 33958*c wrt c.\nAnswer: -257550*c*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 155*h + 30. Let g be n(26). Solve 4*p = g + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n + n = 5, -3*q - 5*n + 15 = 0. Solve q*f - 2*f = -15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 36*q**2 + 14*q - 3. Let u be j(-4). What is the highest common divisor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2083 * 0.3.\nAnswer: -624.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -38*t + 264. Solve 3*r + 9 = 5*i, 2*i - 3*r = t - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295*k - 172*k - 646 + 645 + 112*k to a*k + i and give a.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 - 2. Let z be q(-3). Let i be (-5)\/2*-5*z. Suppose 0 = -3*h - 2*h + i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-12)\/32))\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrhrrwommhormrmhmrr. What is prob of picking 1 o, 1 w, and 1 m?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/2*(15 - 7). Suppose 3*l + b - 113 = 0, 3*l - 4*b + 33 = 151. Calculate the greatest common factor of o and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(12*s**2 - 13*s**2 - 7*s**2 + (3*s + 0*s - s)*(0 + 0 + 5)*(-s + 3*s + 0*s)) + s**2 - s**2 - s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 10, e: 1, f: 3}. What is prob of sequence tf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003302 rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/65))**(-22) assuming l is positive.\nAnswer: l**(-44\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 125567?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 4*d + 2*h - 167, 2*d = -5*h + 181. What is the smallest common multiple of 88 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 2, s: 1, g: 1}. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5175*t + 151813. What is h(30)?\nAnswer: -3437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 5*k - 2. Let w be r(3). Differentiate 17 - 33 + 9 - 17*h**w with respect to h.\nAnswer: -68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-3)\/8)\/((-13629)\/308)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3108 - 5?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 22 = 3*w, 0*k + 2 = -w - 2*k. Suppose 4*x + 88 = 5*d + w*x, -3*d + 3*x = -36. Calculate the greatest common divisor of 116 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**4 + 18*x**4 - 2*x**2 - 2*x + 8*x**3 - 11*x**4 to the form z*x**2 + t*x + f*x**3 + h + g*x**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 0 - 11*d + 1 - 9 + 2*d**2 + 3. Is 52 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 + 5 = 0. Suppose 3*w = m*w - 8. Calculate the remainder when 9 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 5*a**2 - a**4 + 34*a**2 - 2*a**3 - 20*a**2 + a - 2 to the form g + z*a**4 + d*a**3 + u*a**2 + f*a and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + 2d0db2?\nAnswer: 2d0d65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -6\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 45411 - 6*n + 45493)*(-2*n**2 - 3 + 3).\nAnswer: 22*n**3 - 164*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3.7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - 3*u + 9, -4*m = 5*u - 68. Calculate the remainder when 198 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5726?\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*sqrt(187)\/(sqrt(55)\/sqrt(5) + sqrt(11)).\nAnswer: -3 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/33*(26\/(-4) + 2). Solve -3*b - 30 = -u*l, -5*b - 30 = -l - 0*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51115 + 98*q - 10983 - 92*q.\nAnswer: 6*q + 40132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -11*r + 24. What is the third derivative of -4*s**4 + 16*s**2 + 24*s**r + 4*s**2 - 6*s**2 wrt s?\nAnswer: 480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.287 - -0.03.\nAnswer: 0.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose -2*a + 5*j + 10 = 0, 3*a + i = -5*j - 8. Let m = 1152 - 1151. Solve a = -4*o - 2*b + 6, -m = -b - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8080642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*k = -594*k - 49 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1166308247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32424 is divided by 8098.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -681, -660, -601, -486, -297, -16, 375, 894?\n\"Answer: 3*g**3 + g**2 - 3*g - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12458*t**2 + 519176 wrt t?\nAnswer: -24916*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153*7\/294)\/((-168)\/112).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 575\/23*((1380\/200)\/23)\/((-1)\/8)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 3*a**2 + 2*a + 3. Suppose 0 = 8*j - 4*j - 32. Suppose -2*w = 3*y - j*y + 14, 3*y = 2*w + 6. Give d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from ualaum.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -1?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*o - 4, -16*j + 19*j + o + 2 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(114)*-1)\/(sqrt(384) + (sqrt(384)*-1 - sqrt(384))) + 3.\nAnswer: 3 + 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.153 + 0.046. Let q = 0.007 + x. Let h = q + 0.9. Which is the nearest to -0.1? (a) h (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -4, -2111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + 3*i - 6. Let l be g(3). Suppose -10*j - l*f - 261 = -11*j, -5*j + 1265 = -5*f. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6817 + -6769. What is the remainder when 406 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6984 (base 10) to base 15\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 8. Let y(g) be the third derivative of g**4\/12 + 7*g**3\/6 - 43*g**2. Calculate -6*o(m) - 7*y(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 211, 236, 271?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 1015, 2559, 4801, 7741, 11379, 15715?\nAnswer: 20749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 189 = 431. What is the remainder when 733 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1337\/2 + -14703\/22. Factor -c*f - 10\/11*f**3 - 4\/11 + 16\/11*f**2.\nAnswer: -2*(f - 1)**2*(5*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 11, -5*o + 5 = h - 14. Let c(q) = q**3 - 6*q**2 - 5*q - 10. Let z be c(7). Let x be z\/6 - 8\/(-6). Solve -x*s + o*s = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 13) to base 4.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3052, 2969, 2886?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 55*q**3 - 3*q**2 + 5*q - 2. Let i be z(1). Let d = i + -56. Is d equal to -9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 + 19314. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9*n - 16. Suppose u = -n*u + 10. Solve -4*h + u*h + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -14. Let w(p) = -p**3 + 16*p**2 - 6*p - 36. Calculate the least common multiple of w(15) and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 + -3.4. Let m = h - 5.2. What is the closest to 2\/5 in 1\/9, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15 - 70*q**2 - 2*q**3 + 15*q**2 + 21*q**2 + 18*q**2 - 5*q + 21*q**2. Let l(g) = -g**3 + 2*g**2 - 2*g + 7. Determine -10*l(i) + 4*y(i).\nAnswer: 2*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -3867784205.57 and -2.\nAnswer: -3867784207.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, r: 4, z: 11}. What is prob of sequence zer?\nAnswer: 88\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239649010 to the nearest integer?\nAnswer: 15481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 370341628 minus 0.5?\nAnswer: 370341627.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 11*x + 105. Let k be c(-16). Solve 3*u - 15 = b, k = u + 4*u - 5*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1367*j - 993. What is the units digit of x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 4*p**2 - p**2 + 2*p**2 + (2*p**4 - 2*p**4 + 2*p**4)*(1 - 2*p - 1) + 4*p**5 + 3*p**5 - 5*p**5.\nAnswer: -p**5 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggegaru. Give prob of sequence eg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000116206 rounded to six decimal places?\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 50 = 2*u. Let g = 188 + -40. Calculate the remainder when g is divided by 5 + (-10 - -7) + 27 + u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*u - 1808*u = -199*u + 150883 + 53747 for u.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 11)*(-2)\/(-6). Solve 3*r = m*i - 6, 0*i - 2*i + 3*r + 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47*o**3 + 52 - 92*o**3 + 47*o**3 + 2 wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) + -2)*5*-1)**2 + -3 + 1 + 5 + -2.\nAnswer: -600*sqrt(2) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 3*s - 4. Determine u(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -13. Suppose 4*o = -5*o + 2673. What is the highest common factor of i and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 16.5679.\nAnswer: 20.5679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416655, 416642, 416607, 416538, 416423, 416250?\nAnswer: 416007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by -14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302194 <= 4302169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28982728141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 4*w + 4. Determine y(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 - -3.7. Which is the nearest to -2\/13? (a) 0 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 71.9903. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1646*s - 742. What is the units digit of b(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -7 (c) -0.4 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -344 and -0.4.\nAnswer: 137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*w**4 - 2*w**3 + 8*w**4 - w**3 - 2*w as k*w**2 + z*w + t*w**3 + c + b*w**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -84 + 2246. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 14 = 9*c. Suppose z + g + 14 = -c*z, 0 = -5*g - 25. What is the second biggest value in 0.6, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -298 + 247 + 42 - 15*s**2 in the form k + u*s + v*s**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g - 51. Let j be o(6). Let l be (-4)\/6*66\/(-4). Suppose l = -3*n + 113. What is the highest common factor of n and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + -14a4?\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 2?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.16 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(4*a**2 + 0*a**2 - 2*a**2) + 2*a**2 + 2 - 2 + 0*a**2 + a**2 - 3*a**2)*(-1 - 3 - 3)*(63 - 9*a - 63).\nAnswer: 126*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/37724 and -109\/100.\nAnswer: 943100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-13)\/(195\/(-40)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*b + 57*b = 5*d - 5, 0 = -9*d + 3*b + 60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/21 - 59326*v**2\/21 - 53762752*v\/21 - 1767580160\/3.\nAnswer: -2*(v + 464)**2*(v + 28735)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 472 and -291294?\nAnswer: 291766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 11*t + 16. Does 8 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 132410 and -12?\nAnswer: 132422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1432)\/(-6) + 4\/(-6). Let n = -984 - -1018. Calculate the greatest common factor of j and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = -105 - 40. Which is the nearest to 0.4? (a) g (b) -0.4 (c) -2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by -1.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q - 20. Let f be 246\/q + (-2)\/(-5). Solve -4*z + 2*m - 2 - 8 = 0, -5*m + f = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 0*v + 0*v**2 + 1 + 2\/3*v**3. Let m(d) = -2*d. Give m(c(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/4))**(4\/19)*(i**(-2\/5))**10*(i*i*i**(-3\/10))\/(i\/(i*i**(3\/4)*i*i))*(i*i**(-2\/5))**(-19) assuming i is positive.\nAnswer: i**(-4061\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let m(i) be the first derivative of -259*i**2\/2 - 2266. Determine k(m(p)).\nAnswer: 67081*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*z - 1008*z + 229*z + 253*z - 161 + 240*z as c*z + k and give k.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010074585 to 6 dps.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-47 - -17) - -28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.075, -2\/47, -14, 359 in descending order.\nAnswer: 359, -2\/47, -0.075, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1270161, 1270092, 1269973, 1269804, 1269585, 1269316, 1268997?\nAnswer: 1268628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -418 + 1?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.2 - 11. Let y = -1.18 + t. Which is bigger: 1\/3 or y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 20240\/(-45) + 4. Let y = -157 - v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*((-180)\/(-15))\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 9\/43, -5, -2\/9 in ascending order.\nAnswer: -5, -1\/2, -2\/9, 9\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/20 and -85\/219892?\nAnswer: 1099460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 360 + 333 - 717 in the form y + i*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40953 to three decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 510307.4ml?\nAnswer: 510.3074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from tnaeeetttttn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t - 982*t + 67780 = -9248 for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c = 89*c - 50923. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4029903 - -4029905.799937. Let w = 2.8 - p. What is w rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.1323.\nAnswer: 0.45292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 16*y + 1610 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*(-1)\/(-45))\/(10\/(-3)). Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 48*h**3 - 7*h**2 + 5*h - 1. Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1520939*s**2. Let r(t) = -2*t. What is r(m(x))?\nAnswer: -3041878*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 34. What is b(26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + n - 10 + 27, -46 = -17*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 0*u - 5*u - u**2 - u.\nAnswer: -u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 10*j**2 + 2*j**3 - 3*j**3 - 12*j**2 in the form m*j**2 + f*j**3 + p*j + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-336)\/132)\/14 - 7\/(154\/(-23827302)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 10 (b) 0.03 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665425.\nAnswer: 5, 43, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000774463 to seven dps.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 85*h - 5057. Give p(-40).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 + 5*o**3\/3 - 2*o**2 + 10. Let p be a(3). Let f(l) = l**3 - 7*l**2 + 6*l + 4. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59203414?\nAnswer: 2, 29601707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081090121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 + 507 = -63*d + 371 - 1036 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - 33. Let v = b - -27. Let f = 56.027 - v. Round f to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 30, -4402?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 1401*k**5\/20 + 7*k**3\/6 + 91*k**2\/2 - 8*k + 10. Find the second derivative of r(c) wrt c.\nAnswer: 8406*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus -0.088?\nAnswer: -11.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.79748 + -2.79. Round y to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010 - 6598 = 634*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s. Let h be l(-3). What is the common denominator of (-179)\/h - (-1)\/(-3) and (-138)\/44*(-1 + 2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6511 + -6511. Let f(l) be the first derivative of 0*l**2 - 4*l + 0*l**4 - 4 - 4\/5*l**5 + n*l**3. What is the first derivative of f(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11864*u**6 + 2*u**4 - u**3 - 11*u**2 + 13807.\nAnswer: 1423680*u**3 + 48*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45642393, -45642430, -45642499, -45642606, -45642757, -45642958, -45643215?\n\"Answer: -c**3 - 10*c**2 - 45642382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 163448037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/((h\/(h\/h**(-2)))\/h*h*h)))**(26\/3))**43)**(9\/8) assuming h is positive.\nAnswer: h**(-1677\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-32)\/i)\/i**(-3\/2))\/(i\/(i\/(i**(-6)\/i))*i**(3\/4)) assuming i is positive.\nAnswer: i**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*q + 1)*(4 - 4 - 2*q) + 7*q + 17 - 17 + q**2.\nAnswer: -7*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-329654)\/286)\/(-31) - 4\/22. Solve -a*i = 21 + 53 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d - 98. Let j(a) = -a**2 + 7*a + 6. Let u be j(9). Let p be t(u). What is the greatest common divisor of p and 646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316034736*c**2 - 2*c + 139816542?\nAnswer: 632069472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 7.1, -4, -14?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 3*d - 4. Suppose -4*a + 3 + 5 = 0. Is g(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31290, 53906, 76522?\nAnswer: 99138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 2.\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/89 + 164\/623. Which is the closest to -1\/4? (a) 0.3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:05 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 - 4*s - 21. Determine i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -129. Solve -5*a = m - 9, -5*a + 5*m = -p + 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 16) to base 5\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1c73?\nAnswer: -1c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 1)*(3*m - m + 0*m) + (-2 + 1 + 2 + 3 + 0 - 1 + 4 - 5 + 0 + (-1 - 1 + 3)*(-6 + 2 + 3) + 5 + 8 - 4)*(0*m - 2*m + 4*m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001000 (base 2) in base 13?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67198549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18065149 and 1453.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 914.0795\nAnswer: 73.12636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1 - (-14)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*r**4 - r**2 + 4*r - 11758 wrt r.\nAnswer: 80*r**3 - 2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29429966\/41 <= -717805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3734, 7604, 11474, 15344, 19214, 23084?\nAnswer: 26954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.549 - 5.1328. What is c rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -6*(-6)\/(-4). Let z(q) = -q**3 + 4*q**2 - 5*q - 14. Let u be z(h). Is (14\/6 - 2) + u\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -29. Suppose -36 - 162 = -q*i. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1657, 3169, 4679, 6193, 7717, 9257?\n\"Answer: k**3 - 7*k**2 + 1526*k + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000010366 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 0.4, 15, 5\/82, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5*f - 10, -8 = 4*r - 0*r - f. Does -4 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from zduds.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127904 divided by 1142.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 33. Suppose 0*g + 4*g = 0. Suppose g = s*i + 2*p - 8, 1 = 5*i + 2*p - 8. Is i <= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 44. Let h = q + 21. Let f be (-1)\/((-2)\/(-1) - h*7). What is the fourth biggest value in -0.1, f, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24377 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -231 - -330. Suppose 59 = 2*j - 33. Suppose 0 = 4*s - 2*k - j, 0 = 5*s + k - 48 + 8. What is the greatest common divisor of a and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 11. Let a be g(14). Let c be (1\/a)\/(7\/(-42)). Suppose c*o + 3*d = 26, 8 = o + 4*d - 15. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13.55375 and 11496721.\nAnswer: 11496734.55375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -290, -444, -598, -752, -906?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-6 - (-3 - 2)). Sort q, -4, 4\/109 in decreasing order.\nAnswer: 4\/109, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2 - 1 + 46*z - 489*z + 0. Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, h: 3, n: 1, y: 5, j: 2, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64 - 64 - 6*u + 110 + (3*u - 2*u - 2*u)*(-2 + 2 - 2) + 0 - u + 0.\nAnswer: -5*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3078*r**5\/5 - 818746*r**4\/5 + 1647262*r**3\/5 - 825974*r**2\/5 + 536*r\/5 = 0 for r.\nAnswer: -268, 0, 1\/1539, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*s**3 - 26 + 26.\nAnswer: 281*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iygginm. What is prob of sequence iiny?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 22*n - 7. Let r(p) = -p**2 - 22*p - 18. Suppose -3*b - 88 = 5*g, -2*b = 2*b - 4*g + 64. Let u be r(b). What is the units digit of f(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(540))\/(sqrt(15)\/(sqrt(15)\/sqrt(3)))*3.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - 2.06. Let m = -2.298 - y. Round m to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163\/485 or 1?\nAnswer: 163\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 30 - (0 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 6*u + 13. Let z be n(7). Solve -3 = 7*a - z*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-348)\/145 + 4\/10. Sort t, 423, 3.\nAnswer: t, 3, 423","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -1097493?\nAnswer: 1097492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + 3206 - 20. Let q = s - 169. Solve -10 = -5*f, 2*a + 5*f - 2 = q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4803 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1066691 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -2\/5, 0, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*k + 332 - 1277 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 140 = -6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d + 90. Let q be y(-6). Solve -h + 0 - 3 = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.5 - -80.5. What is the third smallest value in v, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y*y**(-2\/9)*y*y)\/(y\/((y*y**1)\/y)))**(3\/5))**(-1))**(4\/9) assuming y is positive.\nAnswer: y**(-172\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4554 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 30*r + 3*j - 2424 = 0, 957 = -2*r - 3*j. Let f = r - -487. Solve f*w = -3 - 9, 5*b + 23 = -w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3628*w + 3625*w = 2*m + 35, w + 35 = 4*m - 0*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 138*g + 145. What is q(-47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5420\/(-271) - 364\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10 - -3)\/((-69)\/(-115))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/36*(-60)\/(-75).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 146409.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*f + 13, 4*i = 5*f - 1 + 22. Let x = -3 - f. Is x at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 0 + 72 + -22.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04014 + 0.038. What is w rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + -2. Let q = 2.1 - h. Put 1\/5, q, -1\/6 in increasing order.\nAnswer: -1\/6, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1757, -3509, -5267, -7037, -8825, -10637, -12479?\nAnswer: -14357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 74. Let u be t(-7). Let k be ((-15)\/10)\/(-1 + u\/(-48)). Solve -4*a = q + k, -4*q - 8 = 4*a - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 6. Let y be v(-12). Suppose -24 = -y*d - 0*d. Which is the third biggest value? (a) -1\/3 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 2*q + 4049. Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 + 18*w**3\/7 + 26*w**2\/7 - 90*w\/7 - 100\/7.\nAnswer: 2*(w - 2)*(w + 1)*(w + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -348*v**3 - v**2 - 4*v - 3. Let a be u(-1). Suppose 0 = 2*s + s + a. Let g = s + 319\/3. Calculate the common denominator of 36\/17 and g.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, -49, -1, 3, 5, -5 in increasing order.\nAnswer: -49, -5, -1, 3, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**6*s\/(s\/s**(-5)))\/(s**(-4\/11)*s*s**(-15)) assuming s is positive.\nAnswer: s**(180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.2, -0.1, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -11*p + 1. Let w be c(1). Let i(d) = -24*d - 6. Let s be i(w). Let g = s - 136. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442827 and 85239?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 10*x**2 + 10*x - 4. Let j be g(-11). Let y = 0 + j. Calculate the smallest common multiple of y and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152374862*y**3 + 700*y**2 + 291*y + 15?\nAnswer: -914249172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 - p**3 - p + 7*p**2 - 4*p + 2*p**2. Let z be f(8). Solve -6*a = -a + z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 524 - 125. Suppose y + 2*s = 144, -151 = 2*y - 4*s - m. Suppose 0 = 16*w - 14*w - y. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5429.2 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9465664 + -2660.2.\nAnswer: 9463003.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = -2*c + 3*c, -3*t + 2*c - 21 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213691 bigger than 2214224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31031.3443 + 31029. Round y to one decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324089*-177.\nAnswer: -57363753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 38660\/5837?\nAnswer: 38660\/5837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011000011000100 (base 2) to base 7.\nAnswer: 1135350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0.49, -0.35, -5, 1, -2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6 - 1 - 14*z + 7*z - 9*z**2. Let d(k) = 4 + 8*k**2 + 3*k + k - 3*k**2. Suppose -a + 16 = -5*a. What is a*u(g) - 7*d(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Suppose -4*l = -4*y - 184, 2*y - 5*l - 178 = 5*y. Suppose -209 = -4*a + s, -5*s + 25 = -a + 63. Let q = a + y. What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*l + 425, 5*i - 2*l = -6*l + 2173. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-8 + 3 - (1 - 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 221245 (base 7) in base 4?\nAnswer: 21133222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.611 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74385 = -4*y - 3*j, -18*y - 4*j = -13*y - 92982. What are the prime factors of y?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 45 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-14) - 700\/(-196). Let n(l) be the first derivative of -2 - 3*l**2 + t*l + 1\/3*l**3. What is n(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -45*n - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:18 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(12*u**2 - 4*u**2 + 4*u**2 + (-2 + 2 + 2*u)*(-17*u - 13*u - u)).\nAnswer: -150*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 42 = -3*y. What is the common denominator of (-1)\/(-3) - (-542)\/(-60) and ((-101)\/y)\/(40\/(-6) + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 133 + 69 = 0. List the prime factors of x.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20159 is divided by 1830?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4027032 and 252?\nAnswer: 28189224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1335 and -0.25831067.\nAnswer: -1335.25831067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(2\/4 - -1). Let s = -8 - l. Suppose 81*x - 82*x + 37 = 3*z, -21 = -2*z + 3*x. Put -4, z, s in descending order.\nAnswer: z, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14842 greater than -14841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**2 + 1\/2*o**5 + 3*o**4 + 7*o**3 + 9\/2*o + 1.\nAnswer: (o + 1)**4*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*b**3 - 173 + b**4 + 175 - 6*b**2 + 7*b**2 as s*b**2 + p*b**4 + g + f*b**3 + h*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Let w(a) = -a**3 - a**2 + 1. Let s(f) = 6*f**3 + 14*f**2 - 4. Let i(o) = z*w(o) + s(o). What is the third derivative of i(l) wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5586*g + 205611 = 4205*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**3 - w + 1. Let c(a) = a**3 + 6*a**2 - 6*a + 12. Let q be c(-7). Let i be (-77)\/(-55) - (-3)\/q. Suppose 4*t - i - 2 = 0. Calculate n(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15006509*x**2*y**3 - x**2*y**2 - 27*x**2*y + 29*x**2 + 13*x*y**2 + 2*x + 6*y**3 - 206*y**2 wrt y.\nAnswer: 90039054*x**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001442 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12254618 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(320) + 1)*-3*1)**2.\nAnswer: 576*sqrt(5) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 745 - 1659 - 2*h + h**3 + 911 - h**2 + 9*h**3 in the form d + m*h**2 + g*h + j*h**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -11, 101, -2 in ascending order.\nAnswer: -11, -5, -2, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26950?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 16*t + 16. Let m be z(7). Which is the closest to m? (a) 3\/7 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*8*6\/(2*-36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and -41\/2038.\nAnswer: 6114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 12*q + 24. Let c be f(-3). What is the hundreds digit of ((-18)\/(-10))\/(c\/4730)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*n - 615 + 1839. Suppose 3*q = 2*q + 2. Suppose -3*l = q*l - 30. Calculate the highest common divisor of n and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001394 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*620\/(-186)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1734583\/3 + -578193. Factor b - 22\/3*s**2 - 6*s.\nAnswer: -2*(s + 1)*(11*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-160)*38*(-4)\/((-32)\/(-50)). Let a(b) be the first derivative of 6*b**5 + 0*b + 95\/3*b**3 + 15*b**2 - 27 + m*b**4. Suppose a(u) = 0. Calculate u.\nAnswer: -3\/2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rllk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4182, -12, -0.2, 3, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -88. What is the second derivative of 11 + 6*k + 17*k - 11 + 31*k**z wrt k?\nAnswer: 186*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -348, -784, -1378, -2118, -2992, -3988, -5094?\n\"Answer: 2*i**3 - 97*i**2 + 11*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 16 = 4*b, 5*b = 2*p - 47. Suppose -j + 241 = -5*c - 93, 0 = -5*j - c + 1618. Calculate the greatest common divisor of p and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (1 + -1 - -5). Let r(h) = -h**3 + 9*h**2 + 5*h + 9. Is r(p) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2. Let c(u) = -702*u + 12990. Give c(l(m)).\nAnswer: 2106*m**2 + 12990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 - 775*p\/2 - 574868\/3.\nAnswer: (p - 2744)*(p + 419)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/71))\/(b*b*(b\/(b**(-3\/2)*b*b))\/b*b))\/((b**28*b)\/(b*b**(3\/2))) assuming b is positive.\nAnswer: b**(-1915\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-3 - -6) - -2. Let g be (b\/(-10))\/(9\/(-5)). Is -1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4237 and 2727507.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1679864 divided by -419966.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.6867567 milligrams?\nAnswer: 0.0000006867567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198332817 to the power of 1\/3, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from xooqooooxxvq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 33. Let a(q) = -q**2 - 5*q + 8. Calculate a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n**2. Let z(h) = -11498*h. What is z(i(y))?\nAnswer: -114980*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -192. What is the smallest common multiple of 217 and v?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 8. Let g(y) = 11*y + 9. Let k(w) be the second derivative of w**3 + 5*w**2\/2 - w. Calculate i*g(s) - 7*k(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Let s(a) = 38906*a. What is g(s(d))?\nAnswer: -116718*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times 16.882?\nAnswer: 709.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000365 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - a - 9, c = 2*a - 6*a - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 6 (c) -0.37 (d) 0.2 (e) -0.3 (f) -69\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847472999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 7*m**2 + 7*m - 8. Calculate the remainder when g(7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/120 - h**5\/15 + 17*h**4\/24 - h**3\/6 + 19*h**2. Let w = -105 - -185. What is the remainder when w is divided by k(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geee when four letters picked without replacement from {g: 11, e: 4, m: 4}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9290, 9289, 9288, 9287, 9286, 9285?\n\"Answer: -x + 9291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, y: 7, f: 3}. What is prob of picking 1 h, 1 f, and 2 y?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 368 and -5.7944.\nAnswer: -2132.3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 3*z - 3314*z**2 + 3766*z**2 - 1 to the form v*z**2 + p + d*z and give v.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*n**2 - 29*n**2 - 33*n**2 - 29*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 19 + 2*c + 12 - 2*c. Let j be 2\/4 - (-21)\/6. Let b be 1 + 2*j\/(-8). Give p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/240 and 83\/560.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413\/36 + 139\/12. What is the closest to -6 in 2\/11, 2\/3, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 280 - -5?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2562*q - 5128*q + 9902*q**2 - 4 + 4 + 2566*q + (4 - 2 - 1)*(q - q + 2*q**2) + q**2 - 5*q + 5*q.\nAnswer: 9905*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*q - 115*q = 5*d + 13, -4*q + d - 15 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10198597 to the power of 1\/2, to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:23 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*z = -16, 2370*a - 2372*a - 4 = z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*s - 36, -18*s - 28 = -17*s + 3*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(136)*1*2)\/((sqrt(3200)*-1)\/(sqrt(32)\/sqrt(128) + sqrt(4))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let o(w) = w**2 - 10275*w - 1. Give o(h(u)).\nAnswer: u**4 - 10275*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + u + 2*c - 10, 5*c - 15 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -515 - -510. Let w be (-2 - -3) + -3 + -1. Let p = -4 - -6. Put k, p, w in ascending order.\nAnswer: k, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -77. Let c(t) = 11*t - 37. Let s be c(z). Suppose 5*w - k - 28 = 0, -4*w + 0*k + 3*k + s = 0. Solve o - 8 = w*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1092)\/96)\/(-13)*2\/14\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -118 + (51 + 23 - -5)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -504079.\nAnswer: 5\/504079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-39)*-153*132\/(-8415).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 + 127 = 3*d. Let u be 137501\/d + 4\/18. Let o = -360 - u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 + 9689920*o**2 - o + 24587923?\nAnswer: -9*o**2 + 19379840*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*o**2*t**3 + 101381*o**2 + 14201*o*t**3 - 2*o*t**2 + 2*o*t + 10*o + 2*t**3 wrt o.\nAnswer: 38*t**3 + 202762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**5 - 1072*k**3 + 6*k + 3758 wrt k.\nAnswer: -160*k**3 - 6432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -20 (b) 0.106 (c) -8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/66 and 41\/7739604.\nAnswer: 85135644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 29. Let g(p) = p + 10. Let w(y) = -11*g(y) + 4*o(y). What is the smallest common multiple of w(-5) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/10 + 115023*o**3\/2 + 2300436*o**2\/5 + 4600856*o\/5 = 0.\nAnswer: -575107, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1540)\/24*(-5)\/25. Which is bigger: v or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.1, -3\/4, -3\/7, -11, 30\/203?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845171085.\nAnswer: 3, 5, 11, 465659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725188.\nAnswer: 2, 431297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-40)*(24\/(-10))\/(-3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, 1 u, and 1 v when four letters picked without replacement from nbvssvuuvvvuq?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/1120*(2\/4)\/(1\/(-5))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Find the second derivative of 2*d**x + 5*d + d**5 + 0*d**5 - 6*d**5 wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*5 - 2*sqrt(121)*-1)\/(sqrt(121)\/((sqrt(11)*-3 + sqrt(11))*-1 - sqrt(11))) + 4.\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(3\/17)*(j*j*j**4)\/(j*j**3) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18953, 37912, 56871, 75830?\nAnswer: 94789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 4*t + 6 = 0, -2*z + t - 9 = 0. Put z, -4, 5 in descending order.\nAnswer: 5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3292 - -82?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 + 2*c + 6. Let i(l) = -3 - 9*l - 2 + 7*l + 8*l**2 - l**3. Let g(a) = 6*i(a) + 5*r(a). Factor g(h).\nAnswer: -h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7402, -14800, -22198?\nAnswer: -29596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, j: 1, i: 2}. What is prob of picking 1 j, 1 d, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 110. Suppose -17*c - 40 = -l*c. Suppose 9*b - c*b - 8 = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99793 + 144152. Let d = a - 44565.11. Let u = d + 205. Round u to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (649 - 649 - 8*x)*(-2*x**3 + 5*x**3 - x**3) + (-2*x**2 + 2*x**2 - 3*x**4)*(-8 - 9 + 5) in the form w*x + d*x**4 + i*x**2 + y + a*x**3 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/(g\/g**5)*(g**(-3)*g)\/(g*g\/g**32) assuming g is positive.\nAnswer: g**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6360721l?\nAnswer: 636.0721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5003\/58 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1172\nAnswer: -13\/1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 464 = -9*j. What is the highest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78841333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1281b (base 15) to base 14.\nAnswer: -17809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1\/31 (c) 0.4 (d) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 809 - 814 + 4*b - 2*b**3 + b**3. Let h be r(2). Suppose h*p - 2*p = 2*w + 112, -p + 4*w + 108 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1992384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**3*q**3 + 5*o**3*q + 2*o**3 + o**2*q**2 wrt q.\nAnswer: 30*o**3*q + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*a + 343*a - 1027*a + 342*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/((-121)\/(-21) + -7).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -f?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n - 336 + 456. What is the greatest common factor of 1945 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4 - (-3)\/6. Let j = -651 - -653. Which is the closest to 1? (a) 0.1 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 + 138. Solve -i = 5*k - 28, 0 = c*i + 6*k - k - 31 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*r = -489231 + 590131 for r.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z + 275 + 91 + 304 - 1463.\nAnswer: -20*z - 793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 - 1*-1. Let n be (5 + m*-1)\/1. Let i = -6 + n. Sort -4, i, 5.\nAnswer: -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbmalmb. Give prob of sequence mm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -27. What is the greatest common divisor of 60 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w*w\/w**(4\/3)*w*(w*w\/w**(-4\/3))\/w**(-3\/5)*(w**(-1\/7)*w**1)\/((w\/w**(4\/3))\/w**(-3\/5)) assuming w is positive.\nAnswer: w**(256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420696 is divided by 16186?\nAnswer: 16046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q**2 - 8. Let j be p(-5). What is the greatest common factor of j and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66*f**4 + 301 wrt f.\nAnswer: 264*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011548?\nAnswer: 2, 252887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 7, 44.\nAnswer: -2, -1, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*h**4 - 228*h**2 + 55310*h?\nAnswer: 1584*h**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/11, 2\/7, 4, -4, -5, -200?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965978274853 plus -0.2?\nAnswer: 1965978274852.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2342896 at least as big as -2342896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 10:07 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/32, -100, 0.5 in ascending order.\nAnswer: -100, -7\/32, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j**(-1\/7))\/(j\/j**1)**(2\/93) assuming j is positive.\nAnswer: j**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g + 8*g - 2*g + 11*g + 31*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 7 - 4*u + 4*u + 5*u.\nAnswer: 4*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 9009.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 12915987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 + 15 = u, 34 = 4*u + 5*z. Let y(x) = x**2 - 5*x. What are the prime factors of y(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -28. Let a be 3\/w + (-65)\/10. Sort -4, a, 3 in descending order.\nAnswer: 3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 29. Solve -u + j = -l, -5*u - 3*l - l = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5308 and -47\/1760.\nAnswer: 2335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(4*u**5 - 2*u**5 - u**5) - 83*u**5 - 97*u + 97*u + 0*u**5 + 8*u**5 - 5 - 3*u**5.\nAnswer: -76*u**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1336, -431, 1074, 3179, 5884, 9189, 13094?\n\"Answer: 300*o**2 + 5*o - 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + 5*b + 2*b)*(-1 + 4 - 1).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:54 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 643, 3 in descending order.\nAnswer: 643, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*z + 5*s, -4*z + 0*s = -2*s - 6. Suppose v = -z*v + 5. Suppose -12*i**4 + 26*i**v - 4*i**3 + 4*i**4 - 30*i**5 + 0*i**3 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 5. Let o(z) = 7*z**2. Give o(m(f)).\nAnswer: 28*f**2 - 140*f + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*u + 2. Let w(m) be the second derivative of 2*m + 0*m**5 + 0*m**2 + 0 + 0*m**4 + 1\/3*m**3 + 1\/15*m**u. Find the second derivative of w(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 47 (c) -2\/437 (d) -1 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t + 1. Let f(c) = -3577*c. Determine q(f(w)).\nAnswer: -39347*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*a, 0 = -a - 2*w - 30008 + 30017 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 - -273. Let c = 19 - -7. What is the remainder when r is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 1883008*g**3 + 4*g + 1672621*g**3.\nAnswer: 3555629*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -30. Let v be 2 - (8 - (3 + b)*2). Sort -5, -9, 5, v.\nAnswer: -9, -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Let x(n) = 4*n**2 - 3. Let z(h) be the second derivative of -h**4\/4 + h**2 - 2*h. Let p(v) = 2*x(v) + 3*z(v). Calculate j(p(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 21714880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*k**2*u + 2*j**3*k*u - 3*j**3 + j*k**2 + 9*j*k*u + 75*k**2*u wrt k?\nAnswer: -2*j**3*u + 2*j + 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 30, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g - g - 4*g + g as h*g + y and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390 is divided by 1505?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:55 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -14. Which is bigger: 2\/35 or o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -969, 109, 6.\nAnswer: -969, -2, 0, 3, 6, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 7483*i**4 + 22*i + 7483*i**4 + 4*i**5 + (0*i + 4*i - 5*i)*(2*i**4 - 4*i**4 + 4*i**4).\nAnswer: 2*i**5 - 2*i**2 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-13)\/7 - -2)*-1. Let n(f) = 15*f - 130. Let z be n(9). Suppose i - z*i = 2*u - 28, 30 = 5*u + 2*i. Sort 5, 1\/3, a, u in decreasing order.\nAnswer: 5, u, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Let c = -440 - -443. Let s(x) = 10*x**2. What is c*r(g) + s(g)?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 18114*c**4 - 36246*c**3 + 90578*c**2 + 108708*c = 0. What is c?\nAnswer: -3, -1, 0, 2, 9059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3773*b**3 + 5901 wrt b.\nAnswer: -11319*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11228f (base 16) in base 15?\nAnswer: -172ade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/8)\/((-1185)\/(-30336)*-32)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 4*p + 3. Let n be j(2). Find the second derivative of 2*l**n - 3 + 3 + 2*l wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25135 (base 8) in base 11?\nAnswer: -816a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 43 = 5*p, -2*p = 4 + 6. Which is bigger: 19\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58206431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11132083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from {k: 1, f: 1, a: 2, y: 5, x: 9}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1211917.8 to the nearest one thousand.\nAnswer: -1212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -77*j**5\/5 + 1079*j**2\/2 + 780. What is the second derivative of v(x) wrt x?\nAnswer: -924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.088, -11, 2\/109, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34244.\nAnswer: 2, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143452*k**3 - 3*k**2 - 3231662*k - 2?\nAnswer: 860712*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -92013 in ascending order.\nAnswer: -92013, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1209*a + 2458. Let v be h(-2). Solve -180 = v*f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 + 3*p**4\/8 - 13*p**3\/6 - 655*p**2 - 2*p. Give g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - (-104)\/330. Let i be 1\/((-20)\/(-8) + 3). Let p = i - d. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 667411 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-72) + (-77 - -47)\/270?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(-34)\/51 - -18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -19*v**3 + 9*v**4 - 2*v**3 + 25*v - 23*v**2 - 30*v**2 + 63*v**2 - 15*v**2 = 0.\nAnswer: -1, 0, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57*30\/1045)\/((-3)\/22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23912761469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 803 + 642?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-550)\/220)\/(-2 + 2119\/1092)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.1 + -122. What is the closest to f in 5\/6, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/17)*s)\/s)**47*(s**(3\/7)\/s)\/(s*s**(-2\/3)) assuming s is positive.\nAnswer: s**(-4271\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 170?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -4*a**2 + a + 0*a**3 + 1\/6*a**4 + 0. Differentiate m(z) with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (4 - -2) - -5. Let r = t + 21. Calculate the greatest common factor of 12 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*v - 8, n - 4*v + 3*v = 4. Suppose -2*w - 1 = -5*g - 71, 3*w + 4*g - 59 = n. Calculate the remainder when w is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 1579\/920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79327 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -21936.\nAnswer: -1\/3656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -39d?\nAnswer: 3ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -81*p**2 + 159*p - 3. Let n be z(2). Let y be 172\/(-24) + 4\/(-2). Is y at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -166 + 0*c - 3*c + 83 + 142 + 0 + 2*c + 0 + (c + 2*c - 4*c)*(0 + 2 - 4) as s + a*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = w + 19, -30*w + 112 = -46*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 199100000 to the nearest 1000000.\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33109 - -51080. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61346 (base 7) in base 16?\nAnswer: 3a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1192 + -0.0192. Let u = -2 - -1.9. What is the nearest to w in -1, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from nzhcnhhncc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18249 = l - 2*x, 18*l + 6*x - 36438 = 16*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2 - 2. Let n(l) = 138*l - 20. Let b(r) = -17232*r + 2496. Let s(j) = 5*b(j) + 624*n(j). What is g(s(h))?\nAnswer: -96*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(-2*n + 3 - 3) + (-1 - 4 + 3)*(-97 + 97 - 104*n))*(-n**2 + 6*n**2 - 2*n**2).\nAnswer: 612*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 2\/7, 2, -3, 1, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**8\/896 - h**7\/56 - 3*h**6\/160 + h**5\/5 + 47*h**4\/64 + 9*h**3\/8 + 2*h**2 - 47*h. Let n(b) = 0. What is b?\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*z = -10, 5*d - 22 - 3 = 2*z. Solve -5*t = -d*u + 1 + 2, -4*t = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*n + 36*n**3 + 164 - 2167 - n + 10*n wrt n.\nAnswer: 108*n**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = 10. Factor 8*o**2 - 28*o - o**2 + f*o**2 + 25*o.\nAnswer: 3*o*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 9*q**2 + 7*q + 1. Let g be f(-8). What is z in 9*z**2 + z**5 - g*z**2 - 2*z**3 + z = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 346, -5, 2\/7, -3\/4, -2 in increasing order.\nAnswer: -173, -5, -2, -3\/4, 2\/7, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129\/2 + 379\/6. Which is the third biggest value? (a) 4 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 3969*z**2\/2 - 15850*z + 23766.\nAnswer: -(z - 3961)*(z - 6)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23633497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13 = 33. Let r be 1*-1*g\/(-36). Suppose -14*z + 2491 - 2421 = 0. Which is the smallest value? (a) r (b) 3 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6102945, -6102912, -6102879, -6102846, -6102813?\nAnswer: -6102780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5\/(15\/(-24)). Suppose -u = -m - m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4649, 9281, 13925, 18581?\n\"Answer: 6*p**2 + 4614*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2*i**2 - 3*i**2 + (-2 + 0 + 3)*(0*i**2 + i**2 + i**2) + (-4*i + 3*i + 5*i)*(108 - 108 - 12*i))*(0*i**3 - 53*i**2 + 75*i**2 + 1 - i**3).\nAnswer: 47*i**5 - 1034*i**4 - 47*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 337694698 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 + 4*c**2 - 16*c**2 - 6*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 4*f**2 + f + 4. Let s(q) = -q**3 - 5*q**2 - 2*q - 5. Let o(r) = -4*s(r) - 5*z(r). What is the second derivative of o(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b7 + 28396?\nAnswer: 27aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from {t: 2, x: 4, z: 7}?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - v + 6, -24 = -3*g - 0*v + 5*v. Solve 0 = g*f - 13 + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 135\/(-6) - (-9)\/6. Let o = 24 + x. Let j(f) = -f**3 + 10*f**2 + 8*f + 35. Let q be j(11). Solve k + 6 + 5 = -o*t, -2*k - q*t - 2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - 74) + (-37 - (-4 + 30 + -74)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 11921500 = -7201435. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 214878?\nAnswer: 1504146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 332242000 (base 5) to base 7\nAnswer: 15203126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 7}. What is prob of sequence aee?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31272211 divided by 4.\nAnswer: 31272211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7899623*k**5 - 3643136*k**2?\nAnswer: -473977380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4368541\/47443 + -48\/4313. Let p = 92 + q. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3972)\/44)\/(1\/(-11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 7524.\nAnswer: -1504.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*b - 8*b - 12*b to o + h*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 91*j - 2. Let i(a) = -8*a**2. Calculate i(y(c)).\nAnswer: -66248*c**2 + 2912*c - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -182, -376, -570, -764, -958?\n\"Answer: -194*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17326684916.999999892 - -17326684852. Let p = 747 - 682. Let n = z + p. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2 + -1)\/(17\/(-51)) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1676 - -1708. What is the highest common factor of d and 1648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -31.3\nAnswer: 125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.03, -1247.\nAnswer: -1247, -0.03, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 - 3.5. Let r = -1.1 + m. Put 3, -1\/3, r in descending order.\nAnswer: r, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11207 = -3*j - 5*r, -j - r + 1763 = -1974. Suppose -5*i - 1882 = 4*t - 5600, -5*i + j = -3*t. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*q**2 - 144*q**2 + 131 + 34*q - 130 - 129*q to the form o + p*q**2 + f*q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 128 = -511. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58106 - -86904. Is w a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/245*((-10)\/(-2) - 3). Let l = -1 - -0.6. Let p = 0.4 + l. Which is the second biggest value? (a) i (b) -0.1 (c) 7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 - 3*f + 1. Suppose 10*a - 5*a = 20. Let s be ((-12)\/(-18))\/(a\/18). Let c be (-1)\/(-3) + (-13)\/s. Calculate p(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 375*b**3 - 16175*b**2\/2 + 13355*b\/2 + 1035 = 0. What is b?\nAnswer: -2\/15, 1, 207\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + a?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 31985486 and 6.2.\nAnswer: 31985492.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.13 + -0.13. Let v = x + 4. Let i = -6.896 + v. What is i rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -5*a**3\/6 + a**2 - a + 5. What is g(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**2 - 4*o**2 + (3*o**2 - 2*o**2 + 0*o**2)*(-3 - 1 + 3) + 2*o**2 + 4*o**2 - 4*o**2 + o**2 - 5*o**2 + 2*o**2 - 44 + 44 - 350*o**2.\nAnswer: -352*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1102 or -7718\/7?\nAnswer: -7718\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 + 5*v**2 + 7*v**2 + 33316*v**3.\nAnswer: 33316*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 225\/16, -0.4 in increasing order.\nAnswer: -0.4, -0.3, 225\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 22 + 20 = 0. Solve -13*b + 36*b - 16*b**c - 8*b**3 + 4*b**4 + 1 + 11 - 15*b = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 692*w - 12 + 670*w + 27 + 854*w - 17 as s + m*w and give m.\nAnswer: 2216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*n - 119 = 23, 0 = -3*h + n - 114. Let k = h - -40. Solve -5*w + 15 = 0, -4*p = -p + 3*w + k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. What is u(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/844 and 45\/403.\nAnswer: 340132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43710006 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -34. Let u be 1\/2 - (459\/34 - 15). Solve t = u*d - 7*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + b = -30, 3*b + 2 = -h - 8. Let t(f) = f**3 + 13*f**2 - 6*f. What are the prime factors of t(h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -87. Let q be ((-6)\/24)\/(t\/48). Let 0*c**2 + 2\/7*c**3 - q - 6\/7*c = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.76 + 14.76. Let z = 0.9 + 0.82. Let r = 1.7 - z. Which is the closest to r? (a) f (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2. Let p(f) be the third derivative of f**4\/8 + 5*f**2. Calculate p(d(t)).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 22 - 13)*(3*p - p - 4*p).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 - 54267*k**2\/8 - 81397*k\/4 - 13566.\nAnswer: -(k + 1)*(k + 2)*(k + 54264)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 236324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23124 divided by -4?\nAnswer: 5781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040)*-2)\/((sqrt(5)*1 + sqrt(5))*-1).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -89. Let c = a + -45. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0435 - -0.0165. Sort -5, m, 2\/7.\nAnswer: -5, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/146 and (9\/(-15) + (-817)\/(-1520))\/((-15)\/(-625)).\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-15) + (-4)\/10. What is the third derivative of 3*n**6 + 5*n**2 + 0*n**u + n**4 - n**4 wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4887322 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 2. Let p be -1 + 1\/((-2)\/(-2)). Let d(l) = -9*l - 4 - 1 + p. Let a = 96 + -101. Calculate a*x(k) - 2*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:01 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + r**2 - r**2 + (-2 + 2 + r)*(-r + 4*r - 6*r + (3 - 3 - 3*r)*(0 + 4 - 3)) to o*r**2 + v + q*r and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgj when three letters picked without replacement from jpvbg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.5605203 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 5*x. Let q(z) = -z - 3 + x + 2 + 2*z. Determine q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 10*a - 44 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317017236 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45196339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0\/(-1))\/4)\/2. Suppose 3 = -i, d = 5*q - q + 4*i - 4. Suppose -2*n + 3*j = -25, q*n + 28 = 9*n + 4*j. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/840 and -121\/39740.\nAnswer: 1669080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -64, -86, -108?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let w(m) = -9*m**2 - 2*m. Calculate v(w(y)).\nAnswer: -45*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 1\/2 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 - 6*b + 1. Let m be 2\/((-3)\/(-12)*2). What is the remainder when -582*2\/(-12) + 0 + 0 is divided by s(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108319 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 96*c**2 + 477*c + 14. Give a(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8581, 34338, 77243, 137272, 214401, 308606?\n\"Answer: -4*w**3 + 8598*w**2 - 9*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - (0 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 35269?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*c + 23177382 = 103*c. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-19 - -59) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 573100 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.01556 milligrams in tonnes?\nAnswer: 0.00000003501556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1254*c**2 + 2. Let o(r) = -1253*r**2 - 3. Calculate 2*o(t) + 3*p(t).\nAnswer: 1256*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 5*j + 6. Let g(h) be the third derivative of h**5\/30 + 5*h**4\/24 - 7*h**3\/6 + 36*h**2. Let c(z) = 4*g(z) + 3*v(z). Let c(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*t - o, 15 + 13 = -4*t - o. Let x = 68 + t. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 892, -1, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 116*h**3 + 208*h**3 - 260*h**3 + (0 + 0 + h**2)*(h - h + 2*h).\nAnswer: 66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*s - z, s - 23 = 4*z + 12. Let l(q) = -3 + 14*q - 28*q + 7 + s*q. Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)**(-1\/51))**30*(z\/z**(-4)*(z\/(z*z\/(z\/(z**(2\/5)\/z)*z)*z))\/z)\/(z\/(z\/(z*z*z\/(z\/z**(2\/7)*z)*z*z)*z))**(-1\/36) assuming z is positive.\nAnswer: z**(1469\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:26 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 11*h + 7. Let d(p) = 57*p - 1. Let j be d(-1). Let i = -55 - j. Let f be z(i). What is the nearest to -19 in -0.4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*n + 3*i, -3 = -4*n - 2*i - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -594ad (base 15) in base 16?\nAnswer: -45793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -41*n + 7*n + 46 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*g**2 + 31*g**2 + 33*g**2 + 19*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + (-4*sqrt(99) + sqrt(99))\/sqrt(9) + sqrt(55)\/sqrt(5) + 2 + -4 + sqrt(33)\/sqrt(3))*-1*3)**2.\nAnswer: 176 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72225.25 litres in millilitres?\nAnswer: 72225250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 2*v + 2*v - 5*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01989 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 120 - 120 + 43*l - 29*l + l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142666, -285333, -428000, -570667, -713334?\nAnswer: -856001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwckcwcckwapccp. Give prob of sequence wp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -4947?\nAnswer: -33\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 206832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let o(l) be the second derivative of 2*l**3\/3 + l**2 + 10*l. Determine 3*n(k) - o(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -31, -51, -89, -151?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 2, k: 1, t: 1, p: 2}. Give prob of sequence te.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:45 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.64 take away -47.13487673?\nAnswer: -20.50512327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6664)\/1568*(-24)\/34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -4, 0.\nAnswer: -4, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34986 is divided by 5819.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1720\/1290)\/((-12)\/(-8))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (((-1 + sqrt(1584))*3 + 4*sqrt(1584)*-3 + 3)*4)**2).\nAnswer: 8211436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*b - 2874 = 0, -56*w + 51*w + 3573 = 4*b. Calculate the remainder when w is divided by 238.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060 is divided by 398?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 21. Let u be g(-10). Let o be (-3)\/9*(-2 + -13). Let h(s) = s + o + 15 + 2*s**2 - u. Give h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*o + 5*o = -1, 4*i - 4 = 4*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1361822 and 495208.\nAnswer: 5447288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-10))\/((-21)\/70). What is the third biggest value in u, 0.06, -1, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z. Let t be m(3). Suppose 7 - t = 5*j. Let q(u) = -6*u + u**3 + 2 - 8*u + 17*u + 5*u**2. Give q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**4 - 15*d**3 - 115*d**2 - 165*d - 70 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -15. Let v = 0.188 + 281.812. Let r = v + -282.4. Put x, 4, r in decreasing order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 4*o**4 - 5*o**4)*(51 - 51 + 16*o).\nAnswer: 32*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18.547 times -155.04\nAnswer: -2875.52688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7309 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -374, 16, -4.\nAnswer: -374, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -115?\nAnswer: 44\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 5318345\nAnswer: -372284.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xixxlixiixxxl. Give prob of sequence lli.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9bb68 (base 12) to base 11\nAnswer: 131821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101835 = 33*d + 51*d - 177653. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118827 and 76773.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287 - 283. Is (b\/(-3))\/(12\/(-23211)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 times -0.85826?\nAnswer: 0.05321212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520 - 1269 + 462)*(y - 1 + 1).\nAnswer: -287*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -926, -1856, -2786, -3716, -4646?\n\"Answer: -930*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 248?\nAnswer: -47\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*j - 18 + 37, 0 = -2*i + 4*j - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93978794 - 0.764513.\nAnswer: 93978793.235487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -204*x + 4250. Determine z(20).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3 and 73\/38607?\nAnswer: 38607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1652 and 29\/14.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.7323448s?\nAnswer: 0.04553908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/135)\/(158\/60 + -3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2 (c) 1\/8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {f: 5, m: 7, w: 4, x: 3}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291.\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384400413*z**3 - 1754*z**2 + 30834*z wrt z.\nAnswer: -2306402478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3219312 and 96?\nAnswer: 6438624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3580, 3467, 3356, 3247, 3140?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(270))\/sqrt(9))\/(-4*(sqrt(6) - -1*sqrt(96))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 469?\nAnswer: -4\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76169083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -13*r**3 + 9*r**2\/2 - 9*r - 1121. Let k(c) = -19*c**2 + 5*c - 5. Determine -11*k(h) + 6*l(h).\nAnswer: -25*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*r + 3*h + 10, 5*r + 3*h - 11 = 0. Let b be (-11 - -8)\/((-6)\/r). Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0268 from -0.4.\nAnswer: -0.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -53*p**2 + p - 49. Let l = -106 + 105. Let q(u) = u. Let v(g) = l*z(g) + 3*q(g). Find the second derivative of v(s) wrt s.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23390, 91701, 204928, 363071, 566130, 814105?\n\"Answer: 22458*b**2 + 937*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6) - (-28)\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**2 + 22*m - 40.\nAnswer: 2*(m + 5)*(3*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -336727410597004 + 0.4\nAnswer: -336727410597003.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -5*m + 30, 2*m - 2*b = 28. Suppose 0 = -5*k + 7*k - m. Suppose 2*n + k*s = 43, 5*n - 12 = 2*n + 3*s. Solve -3*y = n - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 183*h + 2589. Calculate the remainder when u(-12) is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, -0.4, -114\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2585, -2574, -2563, -2552?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 498\/30 - (-1)\/((-10)\/(-4)). Let o(a) = a - 7. Let t be o(h). Suppose -4*l = -t - 302. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 763\/45 + -26*(-8)\/4680\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-4))\/(21\/(-8)). Let m be (-1 - -2)\/(11 - 1). Let n = 11709\/4 - 2927. What is the biggest value in b, n, -3\/2, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 396*y**2 - 55*y - 55. Let r(d) = -22*d**2 + 3*d + 3. What is -6*j(v) - 110*r(v)?\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p + 5*s - 4, 2*s - 4 = -p. Suppose -p = 2*a + 5*x - 3, x = -1. What is the units digit of (a - (3 - 0))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4 - 3 - 5 - 6*r + 6. Is 18 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 68. Put -5, 3, 9, w in ascending order.\nAnswer: -5, w, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*q**2 + 4*b**2*q - 550*b**2 - 8*q**2 + 1 wrt q?\nAnswer: 2*b**2*q + 4*b**2 - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -22*i + 12*i - 0. Is i less than -68.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*b**2 + 3*b - 2077*b**2 + 32*b - 152*b**2 + 9 wrt b.\nAnswer: -4214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2427*w + 16943. What is r(7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.06203258 to two dps.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 603 and 11.\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-26)\/(-117))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1554, 6124, 13740, 24402, 38110?\nAnswer: 54864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - f + 26 = 0, 3*m = 2*f + 3*f + 39. Let h = -217754 + 217754. Solve h = -3*v - 1 + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 1420*t**2\/7 - 1418*t\/7.\nAnswer: -2*t*(t - 709)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1.5 (c) 0 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -4\/5, 32\/7, -16, 5?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4*21\/(-504)*30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1057653069 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24141 - -434230?\nAnswer: 1013421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 12671.\nAnswer: 13\/12671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.003, 4, 3, 6, 44, -0.3?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11961 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327833*j**4 + 2*j**3 - 2 + 327826*j**4 + 37*j**2 - 655653*j**4 + 4*j to g*j**3 + d*j + b + f*j**4 + p*j**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -104, -122, -152, -194, -248, -314, -392?\n\"Answer: -6*z**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 24. Let h be 0\/4*a\/(-3). Suppose -2*k + 52 = y, h = 5*y - y - 5*k - 156. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 3*m)*(645*m**2 - 293*m**2 + 479*m**2).\nAnswer: -2493*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -516?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 + -5)) + (4 - (-12)\/4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 - 2359*z**4 + 43*z**3 - 429032703*z**2 wrt z?\nAnswer: -120*z**2 - 56616*z + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1549999*w + 2. Let a be u(-2). Let f be 1 + 1 - 0\/(-5). Suppose -a = f*x - 7*x. Round x to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {k: 2, x: 2, c: 1, j: 3, s: 6, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 9*g + 3. Calculate k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5446932 (base 11) in base 13?\nAnswer: -1ca0a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tottotwtfwt. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let q(n) be the first derivative of 18*n**2 - 374. Give h(q(b)).\nAnswer: 2592*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 10*d - 20. Let t be z(-6). Let f = 1 - -1. Let q(g) = 2 - 4*g**f + g**3 - 7 + 4*g - 3*g. Give q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 1 - (3 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*k**2 - 130*k**2 - 8*k + 400*k**2 - 168*k**2.\nAnswer: -39*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 39*s - 135. Let p(l) = -4*l + 10. Let m(g) = -20*g + 48. Let d(o) = s*m(o) - 24*p(o). Let i(j) = j - 10. Calculate d(i(v)).\nAnswer: -4*v + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1121275, 1121274, 1121273, 1121272, 1121271?\n\"Answer: -x + 1121276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqgcngcggcgqgn. Give prob of picking 1 g, 1 q, and 1 c.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10595*h - 685. Let v be s(5). What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 22*a**2 + 4*a - 1. Let l be n(9). Which is smaller: 360 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:15 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 36*l = -12. Let t = 6 + -3. Solve i - l = t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k + 3. Let f(m) = m**2 + 1. Let y(a) = -5*a**3 - 3*a**2 + 6*a - 20. Let o(j) = -3*f(j) - y(j). Give 34*d(w) - 6*o(w).\nAnswer: 4*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20027870939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64082945 divided by 2786215?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 56*z = -51*z + 35, -2*b = -7*z - 19 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(55) - sqrt(5500)*-2 - sqrt(660)\/sqrt(300))\/(sqrt(110)\/(1*(sqrt(90) - sqrt(10)))) + 1.\nAnswer: 4 + 208*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 35*w - 231. Let l be t(7). Let s be (-15)\/9 + l\/(7 - 0). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.09389 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 112*y = -9*y + 1000 + 3452 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/2 + 3*r**3 - 112*r + 27. Find the first derivative of q(x) wrt x.\nAnswer: 6*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3362 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/49 + 37\/7. Let w be 2*(11 + (-4 - -3)). What is the units digit of 5\/4 - o\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from zzrzrerezrzrerrzzz.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 21 = -3. Suppose 5*s = -5*r + 80, k*r - 2*s = r + 52. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-185)\/15)*-3. Let j = i + -47. What is the remainder when 72 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o + 2120. Give z(53).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/30 - 7)\/((-314)\/40 + 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20181362 to the power of 1\/2, to the nearest integer?\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 - 117*l - 832. Let n be g(-17). Are n and 11\/288 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 6. Let b be 0\/2 + (-1 - m). Suppose -j - 32 + 145 = -2*v, 5*j - 593 = b*v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61376715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10. Let g be -2 - 0 - 4\/m. Let b(l) = -7*l**3 - 1 + 2*l**2 + 4*l**3 - l**2 + 2*l + g*l**3. Give b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -306. Find the common denominator of 115\/18 and (-2 - 4\/(-3)) + 669\/v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70 - 57 - (14 - (-7 - -3))) + 39\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 988835.3 weeks in days?\nAnswer: 6921847.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62499 - 0?\nAnswer: -62499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1066 + 1067. Let j(k) = k - 1. Let d(l) = -l + 1. Let q(f) = d(f) + 2*j(f). Let v(w) = -2*w + 3. Determine r*v(y) + 5*q(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 22?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)\/v**(2\/3))**9 assuming v is positive.\nAnswer: v**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2441 - 485 - 56 = 337*h + 160*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207266*w - 136650*w - 853853*w.\nAnswer: -783237*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117429\/8 + 14679. Which is the smallest value? (a) 0.01 (b) 1\/10 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -1 + 4. Is j < 2\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8650.8 and 0.6.\nAnswer: 8651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*z + 2*i = -239*z + 14, -z - 32 = -5*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1143, 3129, 5821, 9219, 13323?\n\"Answer: 353*p**2 + 927*p - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87696890 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/6 - -4. Suppose -2*k + h = -9. Suppose 3*u + k = 3*c + 4*u, 2*u = 4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z - 12. Let r(v) = 21*v + 15. Let j(t) = t + 1. Let f(l) = -18*j(l) + r(l). Let p(i) = -9*f(i) + 2*k(i). Differentiate p(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*w**2 + 1892*w - 6032*w + 2000*w + 431 + 125 + 1995*w wrt w.\nAnswer: -26*w - 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 18*c + 56*c - 405 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 - 2*f*t + 569*f - 1504*t with respect to f.\nAnswer: -4*f - 2*t + 569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -10*d**2 + 7*d + 3. Let v be u(-15). Suppose -2*y + 3*y = v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 4, -0.5, -5, -84\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 459?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4)**24)**46 assuming t is positive.\nAnswer: t**4416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 5. Let d be k(-6). Is -1\/3 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5896 or -41276\/7?\nAnswer: -41276\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2459359495 to the nearest integer?\nAnswer: 49592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15 = -3*p. Suppose -o - 8 = -p*o. Solve o*g = g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 197, -89, -975, -2461, -4547, -7233?\n\"Answer: -300*x**2 + 614*x - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/4527 and 131\/36.\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 726, -11094, -3.\nAnswer: -11094, -3, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 285, 567, 955, 1455, 2073, 2815, 3687?\n\"Answer: u**3 + 44*u**2 + 43*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 50*k**2 + 5*k + 124. Calculate the remainder when b(2) is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17808 - 18480 = 42*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(32\/3)\/j*j*j)\/j*j\/(j*j\/j**(2\/35)))\/((j*j*j**(-6))\/j*j**(-3\/7)) assuming j is positive.\nAnswer: j**(1591\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(875) + (sqrt(875) + sqrt(875)*-2)*-2)\/(sqrt(28)\/sqrt(576)*-1).\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521*z = -232*z - 237*z - 57356. Solve -4*c - z + 1119 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/5 (b) -1.9 (c) 0.3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80*q**2*t - 2*q**2 + 8 wrt t.\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 15 - 1. Let j(k) be the first derivative of -k**3\/3 - 3*k**2\/2 + k + 3. Let x be j(-2). Solve s + y = 2*i, x*s + 20 = i - 2*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372636 is divided by 1183?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.5, 0.2, -5, 635?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8308529, 8308550, 8308571, 8308592?\nAnswer: 8308613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(9 - 3). Solve 2*t - 4*t + b = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjujjjjujjuujjjwwj. Give prob of picking 1 j and 2 w.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 478764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271991, -271990, -271989, -271988, -271987, -271986?\nAnswer: -271985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -96*s + 99. Let l(k) be the first derivative of 1\/6*k**4 + 5\/3*k**s - 19 + 8\/9*k**3 + 4\/3*k. Factor l(t).\nAnswer: 2*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-122\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f - 14*h - 84 = -53*f, -2*f + 5*h = -6 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.5 >= 497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655336737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2*n - 3. Let u be k(2). Suppose -4*x + 1 - 5 = a, 2*a + 5 = -u*x. Suppose 5*c - 4*c - 22 = a. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 568*x + 4. Let l be u(2). Suppose -6*p - l - 3180 = 0. What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2*n**3\/3 + 3. Let f(v) be the third derivative of -31*v**5\/20 - 6*v**2 + 847*v. Give f(u(z)).\nAnswer: -372*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 + 14 = 0. Suppose 2*k + 3*b = 21, -12 + 2 = i*k - 5*b. Find the third derivative of 3*g**k + 0*g**3 + 11*g**3 - 10*g**2 - 2*g**3 wrt g.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 35430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 + 6*l**2 + 9*l**2 - 7130*l + 3560*l + 3570*l. Let f(c) = -c - 1. Let h(z) = -286*z + 5. Let m(b) = 5*f(b) + h(b). What is d(m(o))?\nAnswer: 254043*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 9:45 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c*((c**(-1\/9)*c)\/c)\/c)\/(c**(-2\/5))**(-30))\/(c\/((c*(c\/c**4*c)\/c*c*c)\/c)*c*(c\/c**2)\/c*(c\/(c*c\/c**(2\/5)))**(-10)) assuming c is positive.\nAnswer: c**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 419923217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1271 by 22.\nAnswer: 1271\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 205727357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 60 = -0*t. Suppose 2*z + 6*r - 3*r + t = 0, 0 = z - r + 25. Let q be (6\/z*-3)\/(-4). Put 3, q, -2 in decreasing order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 625850592*j + 511281423.\nAnswer: 625850592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 16 - -13)\/(((-9)\/699)\/1). Is h at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/48)\/((-3)\/9). Sort 0, -4, h in ascending order.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -9.5.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17635706 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13198\/25 + 528. Put b, 1\/9, 5 in increasing order.\nAnswer: b, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13275280 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 2*y**2 - 9. Let j = 34 - 39. Let p be u(j). Suppose d = -4 + p. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:14 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Calculate the remainder when -2 + 0 - (-4 + -9) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14 and -169731?\nAnswer: 169730.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4756 is divided by 417.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11178 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2 = 8, 5*q + k = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + 8*t - 2. Let u = 410 - 416. Determine q(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.019l to millilitres.\nAnswer: 226019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = v + 9, -v - 6*t + 2 - 46 + 77 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 0*(-4)\/(-12). Solve 4*j - p*s - s + 7 = 0, 4 = -4*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 12. What is n(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -2. Let j = 71\/90 - 7\/18. What is the closest to -1 in 0.1, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r + 3. Let u(o) be the second derivative of 1\/2*o**2 + 0 - 2\/3*o**3 - 4*o. Let d(v) = -3*t(v) + 8*u(v). What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200426 + 347763. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3157)\/847 - 12\/44\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1067\/(-194)*(-162)\/33.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 806669639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + -6 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 30*g - 27*g. Let t = g - -293. List the prime factors of t.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 84. Is v(-16) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**6\/w))\/(w\/w**21)*w**(-21)\/w*(w**(-9)\/w)\/w assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and 2.8?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-540))\/((-75)\/22275)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*p + 307 + 88*p + 2386 - 40*p + 2030 to the form b + i*p and give b.\nAnswer: 4723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149296 and 336?\nAnswer: 447888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 + 9*r**3 - 30*r**2 - 47*r - 3056. Determine d(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2*(0 + -1). Let w(j) = -321*j**2 + 12 - 42*j + 3 + 331*j**2 - 15 + 39*j. Let t(c) = -11*c**2 + 2*c. Give x*t(i) - 2*w(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19562385 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74712707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2345.40428 + 2577.404074. Let m = 232 - r. Round m to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**3 + 168*x**2 + 48*x + 79. Calculate y(34).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66073186 to the nearest integer?\nAnswer: 8129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2678, 12760, 29538, 53018, 83206, 120108, 163730, 214078?\nAnswer: 271158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2425646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2421, -2420, -2419, -2418, -2417?\n\"Answer: f - 2422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -206, -523, -998, -1643, -2470, -3491?\nAnswer: -4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14317949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 4. Suppose -6*x - 15 = -x. Let y be v(x). Let l(k) = -k**2 + 10*k - 7. What is the units digit of l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j - 16 + 3*j**2 + 16 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.99. Let k = v + -0.01. Which is the third smallest value? (a) k (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 6. Let p be n(1). Which is the nearest to 2\/11? (a) -0.5 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16168168897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7957 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/9 + 113\/36. Let z = q + -1. Suppose -z - 1\/4*r**2 - 1\/2*r = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.5 + 32. Let m = 1 + j. Which is the closest to 1\/9? (a) -2 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (-32 + 28) - 20) + 83 + 2\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.2 (c) -3 (d) 8\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(704) + 0 - (sqrt(704) + 1)*-2 - 1*(sqrt(704) + -1 + sqrt(704) + 5 - (sqrt(704) + -5 + sqrt(704)*-2)))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.80587nm?\nAnswer: 0.000006880587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*u = -y - 10, -5*u = y + 1. Let w = 3 - 8. Let h be 4\/10 - (-17)\/w. Sort 3, y, h in decreasing order.\nAnswer: y, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 3, l: 1, q: 1, w: 8}. What is prob of picking 1 k and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*((b**17*b*b)\/b)\/b)\/(b\/b**(-5\/7)))\/((((b\/b**5)\/b)\/b)\/b)**(-1\/71))**(-30) assuming b is positive.\nAnswer: b**(-241350\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*k + 1815 + 2281 = 0, -o + 5*k + 4094 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 455*t**2 + 30*t + 1. Let d(p) = -909*p**2 - 50*p - 2. Let q(f) = 3*d(f) + 5*v(f). Let z(j) = j**2. Give q(z(u)).\nAnswer: -452*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 3. Let s(h) = -h**3 - 7*h**2 + 16*h - 10. Calculate the lowest common multiple of s(-9) and l(-5).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -3436, 0.1?\nAnswer: -3436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:39 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*i + 4*i**2 + 975*i - i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o - 623 - 13 = -148*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 + 5*f - 3. Let t be (-42)\/9 - (-8 + 4)\/(-12). Give w(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-32)*(-1 - 7). Let b(s) = s - 4 - 2*s - w*s + 6*s. Suppose 17 - 5 = 4*q. Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -4. Suppose 7 = -d - k, 5*d + 2*k = k - j. Let s = -9.43 + 9.83. Which is the nearest to 2\/5? (a) 2 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2 + n**2 + 209*n**3 - 205*n**3 + 17*n wrt n?\nAnswer: 24*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 44, 112, 208, 332, 484?\n\"Answer: 14*b**2 - 2*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1446423 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3175500923.199 - 3182972700. Let f = x - -7471827.80099907. Let s = 51 - f. What is s rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(-50)*(t**(-1\/12))**(-1\/26))**(-26) assuming t is positive.\nAnswer: t**(-62401\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 11010 (base 2) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(72)*4))**2 - (3 + 1*(0 + sqrt(2)))**2.\nAnswer: -3167\/288 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -54. Factor -10*k**2 + 6*k + 15*k**4 - 15*k**3 - h*k**4 - 6*k.\nAnswer: -5*k**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10392 and 50.\nAnswer: 259800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let l(z) = 23*z**2 + 117*z - 1. Give l(f(r)).\nAnswer: 23*r**2 - 117*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Suppose -4 = -4*l + 3*l, 0 = 3*s - 5*l + 230. Let p = 69 + s. Put 0, g, p in decreasing order.\nAnswer: g, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7124 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/240)\/(15 + 4542\/(-300)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -68. What is the greatest common factor of 341 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d + 3. Suppose -10 = -2*u + 5*i, u + 4*i - 5 = -0*i. Let t(n) = n - 2 - u*n + 0. What is 3*j(r) + 4*t(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0, 3\/5, 0.4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1935228 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e (base 15) to base 7.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(700) + (1 + sqrt(700) + -1*sqrt(700) - sqrt(700)) + sqrt(700) + 6*((-3*sqrt(700) - sqrt(700)) + sqrt(700))*-4)**2.\nAnswer: -5840*sqrt(7) + 3730316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.16 - -1.26. Is h > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (11 + -7 + 9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**7\/98 - 2*s**6\/35 + 3*s**5\/35 + s**4\/14 - 5*s**3\/14 + 3*s**2\/7 + 45*s. Factor m(l).\nAnswer: 3*(l - 2)*(l - 1)**3*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1526, 2965 in ascending order.\nAnswer: -1526, 17, 2965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -42066aa?\nAnswer: 42066a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/159 + 323\/795. Which is the nearest to 1? (a) o (b) -12 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvl. What is prob of picking 1 z, 1 l, and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3951371?\nAnswer: 3951371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.584584 nanometers?\nAnswer: 0.005584584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 8. What is the least common multiple of 4 and o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -12 (c) -5 (d) 4\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*42\/36 - -3)\/1)\/((-2)\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15145 and 301269.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-105) - 184\/420.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -0*y. Let x(d) be the first derivative of -6 + d**2 + y + 0. Let s(w) = 6*w**2. Give s(x(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(20\/4))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133114479.\nAnswer: 3, 3767, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701451.\nAnswer: 3, 13, 107, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2365, -2361, -2355, -2347, -2337, -2325, -2311?\nAnswer: -2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504.41047 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62737 - 1518 + 119744 = -1532*h - 18197 for h.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -5*g**2\/2 + 24. Let s(i) = -4*i**2. What is s(x(a))?\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2 - 5*f + 2. Let o be u(5). Suppose -102 = -3*x + o*r - 32, -3*x - 2*r = -86. Suppose 0 = 4*m - 34 - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(72) + sqrt(72)*-1)*-1)\/sqrt(8))\/(-2*sqrt(15)\/(sqrt(5)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-4)*h)\/h*h)\/h*h**(2\/29)*h*h*h*h**(-5)*h**(-4\/9))\/((h*h**(-4)*h**(-2)\/h)\/((h\/(h**(-1\/5)\/h))\/(h*h*h\/h**(3\/2)))) assuming h is positive.\nAnswer: h**(6067\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 + 0.21. Which is smaller: h or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/5 (b) 1\/4 (c) -1\/6 (d) -0.1 (e) 0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -31*o**3 - 11*o**2 + 9*o - 42. What is the hundreds digit of d(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeettteee. What is prob of picking 2 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/12*(0 - 0 - -2). Let f(m) = -m + 7. Let o(d) = -4*d + 28. Let i(a) = 9*f(a) - 2*o(a). What is i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.0052\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1563, -6183, -13885, -24669?\n\"Answer: -1541*t**2 + 3*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19 + 4\/2)\/1. Let x = p - -11. Let f = x - -9. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a = 20. Suppose -3*w = -m + 31, -a*m + 55 = 4*w - 149. Calculate the least common multiple of 8 and m.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-15)*30\/8. Suppose 0 = 4*q - 122 + j. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -0*x + 32. Sort 0, -1, x.\nAnswer: -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6081169 litres in millilitres?\nAnswer: 608.1169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2009*c + 7 = -2012*c - 15, k + c = -9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431003131 (base 5) in base 10?\nAnswer: 5719166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927657?\nAnswer: 3, 59, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/20 + 10*y**3\/3 - 12*y**2. Differentiate p(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 8470, 0 in increasing order.\nAnswer: -21, 0, 5, 8470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 - (-361)\/(-114)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -99\/2, 5\/2, 71\/617, 0, -10 in descending order.\nAnswer: 5\/2, 2, 71\/617, 0, -10, -99\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27696 by 1154.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385 = -79*w + 44*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -58592\/5, 0.2, 61, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 9:41 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 2. Suppose -4*k + 43 = 5*r, r - k = -r + 25. Suppose -17*m - 48 = -r*m. Let y be ((-40)\/(-25))\/(m\/(-20)). Calculate x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x + 46. Let k(t) = -5*t - 5. Let h(q) = 18*k(q) + 2*v(q). Let w(c) = -2*c. Determine w(h(s)).\nAnswer: 108*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -17?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:02 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64780*n**2 - 337980*n**2 - 110439*n**2 - 294943*n**2.\nAnswer: -678582*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, i: 4, b: 6, d: 4}. What is prob of picking 1 d and 1 b?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 76*f**3 - 280*f**2.\nAnswer: -4*f**2*(f + 5)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f + 26. Let r be p(-4). Let s be ((-3)\/(-297))\/(1\/(-3))*r. Which is the closest to -1\/2? (a) 0.6 (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 5, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 108\/8 + -3. Let r = -67\/6 + k. Let t = -0.4 + -3.6. What is the second smallest value in r, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + (11 - 14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - g**2 - g + 8. Let p = 3 - -3. Let f be 138\/33 - ((-8)\/44)\/(-1). Suppose p*i = f*i. What is k(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326671*s**3 - 2*s**2 + 34*s + 1181566394 wrt s?\nAnswer: -980013*s**2 - 4*s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 221, 268, 361, 512, 733, 1036, 1433, 1936?\n\"Answer: 2*h**3 + 11*h**2 + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201)\/7 - 83\/((-29631)\/(-102))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876 less than 31644\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 3*v**4 - 3*v**3)*(0*v - 2*v + 0*v - v + 1 - 1 + (-1 + 2 - 3)*(v + 0*v - 2*v) + 0*v - v - v - v - 2*v + v + v + 0*v - 2*v + 3*v + 0*v - 7*v).\nAnswer: 30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*b*s + 233*b - 33541*s - 1492 with respect to s.\nAnswer: -44*b - 33541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1785.9011 * 4.\nAnswer: 7143.6044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-198)\/(-45) - 2\/5. Let i be (-132)\/(-20)*(-230)\/(-138). Solve -d*s + i = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3928428 to the power of 1\/2, to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -37*d - 2. Determine c(-3).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u + 3. Suppose -4*t + 92 = 4*l, 3*l - 71 = -u*t - 2*t. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.7546001?\nAnswer: 1.7546001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383 - 406.96. Let z = 2.8 + 21.2. Let v = j + z. What is the biggest value in -1\/3, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195232 is divided by 1551.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92324.9t in kilograms?\nAnswer: 92324900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + 1 - 5 + 17 - 11 + 5 - n in the form q + z*n**2 + y*n + w*n**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 30*t - 192. Calculate the remainder when 69 is divided by s(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 426 or 425?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-4))\/((-3)\/(-12)). Solve -3*f + 0*s - 24 = -3*s, -15 = -y*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**7\/3 - 5*f**3\/6 - 19*f. Find the second derivative of o(h) wrt h.\nAnswer: 280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 546, -26, 4 in descending order.\nAnswer: 546, 4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and -119\/138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.65748 millilitres in litres?\nAnswer: 0.00365748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 1. Let f be k(1). Let r = 6142 - 6143. Which is the fourth biggest value? (a) f (b) -5 (c) r (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + 141 = 0. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 168 = -156. Solve 0 = p + h*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 21 = -27*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 38. Let p be (-3)\/(-1) - x\/(-2). Solve 0*f = p*n - 3*f - 35, 3*f + 5 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79588204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30791*v + 407761*v - 2.\nAnswer: 376970*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13039126, -26078259, -39117392, -52156525, -65195658?\n\"Answer: -13039133*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from llxxxl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6811050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*b - 434*b = -48. Put 5, -59, b, 1 in increasing order.\nAnswer: -59, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/5 + 6*a**3\/5 + 3*a**2\/5 - 56*a\/5 + 48\/5.\nAnswer: -(a - 4)**2*(a - 1)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306810577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169446 is divided by 84720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -496*h - 15469. Give x(-31).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4 and (-426)\/56 - 1\/(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 12:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 + 9*p - 17. Let h be t(5). Let o be 1 - h - (0 + -4). Differentiate 0*x**2 - 3*x**2 - 3*x**2 + 5*x**o - 9 wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(10*(-8)\/32). Solve j*q - 2 = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*g**2*q**2 - 619*g**2*q + 344*g*q**5 - 71*g*q + 2*g wrt q?\nAnswer: 360*g**2 + 6880*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*(sqrt(480) + (1*sqrt(480) - sqrt(480))))\/(sqrt(200) + 1*sqrt(200)))\/(((sqrt(96) + sqrt(96)*1)\/sqrt(2))\/(sqrt(4) + 2*sqrt(100))) + -4.\nAnswer: -11*sqrt(5)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 3*k**2\/2 - 57*k - 15. Let x be j(18). Put 2, -13, x in increasing order.\nAnswer: -13, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 50 = -5*t, -4*t + 3599 - 3559 = 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/(-20))\/(3\/(-817500)). What is a rounded to the nearest ten thousand?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -253191?\nAnswer: 253190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.099994193 - -603.102904193. Let n = 603 - o. What is n rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 690 and 240?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19616878 and -0.4.\nAnswer: -7846751.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8087, -4, -10, 0.4 in descending order.\nAnswer: 8087, 0.4, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 2134?\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let u be b(0). Let o = 6 + -11. Put u, 3, o in decreasing order.\nAnswer: 3, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-339)\/105 - 24426\/20355?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 250763332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 2493 = 478 + 837 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 254644.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 22*p - 3*r = -3, -2*p + 1 = r. Which is the nearest to 3\/10? (a) p (b) -2\/9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12885499 and 662.\nAnswer: 25770998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (1 + -7 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 1\/9 (c) -25 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 170, 326, 468, 590, 686, 750, 776?\n\"Answer: -u**3 - u**2 + 166*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -3837\nAnswer: -14\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109 or 97?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -25*s + 9*s. Let p be 300\/(-305) + -5*s\/(-5). Let k be 0\/(0 + (2 - 3)). Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 186655625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:51 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 836 - 815. Solve -11*k + 34 = -j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 divided by -127301?\nAnswer: -302\/127301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.5 (b) -0.2 (c) 0 (d) 1 (e) -135 (f) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u + 91*u - 1802 = -78*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2241?\nAnswer: -2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1364 + -4164. Let m = 2000 - j. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssssssb. Give prob of sequence ssss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22962728 to 3 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 4.04. Let c = -5 - g. Let f = 0.06 - -0.24. Sort 0.1, f, c in ascending order.\nAnswer: c, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3180, -3604, -4694, -6768, -10144, -15140, -22074?\nAnswer: -31264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15565088, -15565089, -15565090, -15565091?\n\"Answer: -f - 15565087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72356646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 16) + 23 + (-75 - -64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-12 + 15 + -3 - (5 + 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*d + 25 = -791, -s - 5*d - 204 = 0. Let m = 81 - s. List the prime factors of m.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16464 = -4*d, j - 2 + 5 = 0. Let g = 5798 - d. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13551616.9 - 14232597. Let y = z + 680750.09897. Let l = 230 + y. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 31*o - 11. Suppose 0 = 1120*m - 1137*m + 1258. Calculate the remainder when p(5) is divided by m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l + 720. Determine d(59).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-5) - -1*10. Let p be r\/(-12) - -1*109. Let y = -8 - -20. Calculate the greatest common divisor of p and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1641 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6399506 = 4*x - 19199506. Suppose 3*f = 4*f + x. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 355628.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44241854 to the nearest integer?\nAnswer: 6651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Suppose -23 = -5*x - 2*v, -2*x = -0*x + 3*v - 18. Let m = 11459.82 + -11460. Sort x, 0.1, l, m in decreasing order.\nAnswer: x, 0.1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 131727408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + -4*sqrt(77)*1)\/(4*sqrt(176)))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-4) - (-2)\/((-1)\/1) - (-93119)\/(-85956)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38163 and 300.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(891)*1)**2.\nAnswer: 28512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1581 and 41259.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, p: 2, g: 1, q: 1, d: 1}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from vvvvvjdvvvvrvj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 5. Let j = d - -1. Solve 4*b = -j - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 - 3*w - 15. Let c be f(-6). Find the first derivative of -489*p + 12 + 489*p - 80*p**c wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79.83 + -0.83. Let m = d - 78.9953. Round m to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*j**2 + 297*j**2 + 541*j**2)*(-3*j**2 - j**3 + 3*j**2 - 2*j**2 + 2*j**3 + 2*j**2 + (2*j**2 - 3*j**2 + 2*j**2)*(j + 0*j + 0*j)).\nAnswer: 2060*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6327 and 1710.\nAnswer: 63270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -6.84, -1\/5, 2\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3\/4 - 13*z**2\/2 - 169*z\/4 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -c + 1984420, -1850784 = -3*c - 2*w + 4102485. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 300101.\nAnswer: -18\/300101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.44 (c) -3 (d) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 - 83. Let f(t) = t**2 + 5*t - 22. What is the remainder when n is divided by f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*z**3 + 70*g**3*z - 2*g*z**2 + 469*z**3 wrt z?\nAnswer: 12*g**3 + 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptpptpppp. What is prob of picking 4 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/3)\/(2 + -1). Solve -2 + w = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 584 and 1288085.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -24*y**2 - 201*y + 135 = 0.\nAnswer: -9, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/3 + 2*x**4\/3 - 12*x**3 - 12*x**2 + 54*x + 54 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - 2*x + 5. Let z(h) = -5*h**2 - 2*h + 6. Let p(s) = 6*l(s) - 5*z(s). Let r be p(3). Solve u - r = 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 80. Suppose 2*s - 7 = -k, -7*k = -3*k + 3*s - 43. Suppose -l = -5*w + 3*l + x, 0 = -w + 3*l + k. Solve b + 25 = -w*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -1681662873033250*z**4 - 410325687568943650*z**3 + 13042084755090*z**2 - 138179638*z + 488 = 0.\nAnswer: -244, 1\/94385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1b019 (base 12) to base 13\nAnswer: 1513b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -165.001. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b8d5 (base 16) in base 7?\nAnswer: 2034103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4328 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74396 or -74420?\nAnswer: -74396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254428*m**2 - 478275*m wrt m.\nAnswer: -508856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 99*l**2 - 1818*l + 9. Let u(m) = -25*m**2 + 454*m - 2. Let o(k) = -2*p(k) - 9*u(k). Find the second derivative of o(j) wrt j.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 + 4*l**2 - 2. Let a(j) = 8*j**3 - 5*j**2 + 3. Determine 6*a(s) + 7*u(s).\nAnswer: -s**3 - 2*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 456 = 15*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.07, 153 in decreasing order.\nAnswer: 153, 0.07, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7967 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 151?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -993077.1 to the nearest one thousand.\nAnswer: -993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u - 78 = -78*u. Let x(s) = -s**3 - 5*s + 6. Let q(a) = -2*a**3 - 9*a + 11. Give u*q(z) - 11*x(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or -0.4297284?\nAnswer: -0.4297284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -801, -865, -929?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (504\/(-15))\/((-6)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 0.181. Round q to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {l: 3, r: 8, z: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12625*v**2 - 6313*v**2 + 288 - 6311*v**2 - 4*v + 4*v - 288.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 8*r)*(-3*r**4 - 2*r**4 + 7*r**4).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 34*q**7 - q**6\/6 - 240*q**3 - 1649. What is the third derivative of m(r) wrt r?\nAnswer: 28560*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 - (4 + -3). Find the second derivative of -4*o**2 + 4*o - 3*o - 3*o + 2*o**x wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 3*r**2 - 43*r**2.\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 4238 = -4*d, d - 1064 = y. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 7*v**5\/120 - v**4\/6 - 2*v**3 + 18*v. Let l(u) be the second derivative of t(u). What is the units digit of l(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618389.\nAnswer: 479, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 257696670 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1326792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - 57. Let r = 8 - b. Let t = -4.07 - -0.07. What is the second biggest value in r, 2, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -2.8 (c) 1 (d) -5 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873*0.063.\nAnswer: -54.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c + 0*c)*(-10280 + 10280 + 173*c)*(2 + 6 - 5).\nAnswer: 1038*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49639712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 23. Let o(t) = 10*t**3 + t**2 - 2*t + 1. Let p be o(s). Suppose 4*d + 0*d - 199985 = -3*q, 0 = -2*q - p. What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/30 - 155*p**4\/12 - 236*p**3\/3 + 1811*p. What is the second derivative of s(y) wrt y?\nAnswer: -12*y**2 - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2976*y**2 - 3*y + 5. Let h be t(-5). Suppose -5*v + 459420 - h = 0. Round v to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202234 by 5.\nAnswer: -202234\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -71, -3\/5, -2, -0.3, -0.07, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 386*x**2 + 2714*x**2 + 3684*x**2 + 2 - 1077*x**2.\nAnswer: 5707*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 7, 24, 4, -797 in ascending order.\nAnswer: -797, 4, 7, 24, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 10. Suppose d = -5, 4*d = -3*r - 24 + u. Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:12 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, -4, 3, -3, 2 in increasing order.\nAnswer: -37, -4, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 132*u - 11984 = 8606. Are u and 149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10*x - 2. Let l(u) = -3*u - 16. Determine c(l(k)).\nAnswer: -30*k - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187146 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let f = 2 + v. Which is greater: -0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Let q(v) be the first derivative of 23*v**2\/2 - 9. Give q(x(y)).\nAnswer: -46*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 3*w**6\/200 + 83*w**5\/300 - 3*w**4\/5 - 2*w**3\/3 + 5*w**2 + 71*w. Determine k so that o(k) = 0.\nAnswer: -10, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 28*r\/13 - 48\/13.\nAnswer: -2*(r + 2)*(r + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 2, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*s**5 + 5*s**3 + 651*s**2 wrt s.\nAnswer: -5220*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*q - 60, -2*q + 6*q = 4*f - 140. Suppose -f*n = -39*n. Solve 2*x = -n*r - 2*r + 8, -2*x = -5*r + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -13, -46, -103, -190, -313, -478?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 681 = 4*l - c, 4*c + 412 = 3*l. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/73884 and -31\/432.\nAnswer: 2659824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40124 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5731 and 105930?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (sqrt(12) + 3*sqrt(108))\/(sqrt(486) - (sqrt(486) - sqrt(486)*1)) + -3)**2.\nAnswer: 40*sqrt(2)\/9 + 524\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5600 and 5599 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -4, 6.\nAnswer: -75, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 4 - 14*c**3 + 4.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18945, -5, -11, 0.\nAnswer: -18945, -11, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-3)*(f**4\/f)\/f*((f\/f**(-1\/8))\/f)\/(f*f**(-1\/2))*f**(-3)*f**4*(f\/(f\/(f**6\/f)))\/(f\/(f**(-4)\/f)) assuming f is positive.\nAnswer: f**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 times 775.7?\nAnswer: 450681.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 13*i**3\/3 + 3*i - 25. Let r(t) = -t**2. Give g(r(u)).\nAnswer: 13*u**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2 - 27*b**5 - 11*b**6 + 27*b**5 - 7*b**2 wrt b?\nAnswer: -1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 8. Let r be u(-9). What are the prime factors of -2 + r\/(2\/(-16))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, x: 1, w: 1, h: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1) + 39\/((-19227)\/2006).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (0 + 0). Suppose -5*f - c = -3*g - 33, 0 = -4*g + 4*f - 32. Let d be -20*1*(-324 - g). What is d rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*t = 410. Let w = 43 + t. What is the second smallest value in w, 5, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2724 = 3*d - 36, -2*q + 1868 = -2*d. What is the remainder when q is divided by 445?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/19 + 130\/399. Let j = 0.03 + 1.97. Let m = j - 3. What is the nearest to m in -2\/7, -5, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -150 and 821?\nAnswer: -123150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10382135 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 471, -3, -1, 8\/15, -5?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4\/(-6)) + 1. Let l be -3 + 0 + (3 - y). Let g be (0 + 5)\/(5 - (3 - -3)). Put -1, l, g in increasing order.\nAnswer: g, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Let m be z(-6). Let d be m\/21 - (-2)\/(-7). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1 - 3. Suppose 3 = 3*r - v*r. Suppose -2*k = -5*b + r*k - 5, -12 = -4*k. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 5. Let u(w) be the first derivative of 3*w**2\/2 - 6*w - 2. Give 6*n(v) - 5*u(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 5. What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 360*j + 361*j + 363*j - 4*j**2 - 4 - 1083*j + j**3. What is u(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:03 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 - 174. Suppose 5*k - 10 = 0, -a - 5*k + r = -0*k. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -114. Let o = -113.9 + d. Which is the nearest to -2\/9? (a) -0.3 (b) -3\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.357382768106 - 5\nAnswer: 2.357382768106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 12 = -4*p. Let k be 6 - p\/(2 - -2). Solve 10 = 2*o - 2*u - 0*u, k*u = -2*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/3*(-7)\/(-14). Is h greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (16 - 12) - 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + 9 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*w**2 + 28516*w - 192887294 wrt w?\nAnswer: -118*w + 28516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, 451, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 6*o - 5*o)*(2*o - 2*o + 2*o**2) + (-o**3 + 3*o**3 + 0*o**3)*(-2 + 4 + 0).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m**(-10\/9)*m)\/m)\/m*m)*m**(-4\/13))\/(m**30*m*m**(-3\/13)*m) assuming m is positive.\nAnswer: m**(-3506\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/8))\/k)\/k*k)\/(k*(k\/(k**(-4)\/k))\/k*k*k))\/(k**(1\/5)*k*k*k*k**(-6)) assuming k is positive.\nAnswer: k**(-203\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4577)\/(-199) + 117\/(-6) + -6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35993755.\nAnswer: 5, 7, 1028393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 + 624*c**4 - 8820*c**3 - 19528*c**2 - 10080*c = 0.\nAnswer: -1, 0, 18, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -32350 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3027*l**5 - 78 + 43 - 55*l**5 - 14*l + 40 wrt l?\nAnswer: -61640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -29*g + 8 + 14*g + 16*g. Determine f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 143)\/((-65718)\/174). Let j = -1\/13387 - f. Calculate the common denominator of j and 48\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * -0.009.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**2 - 54958*x + 10992 = 0.\nAnswer: -5496, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-49)\/28 - (-1 - 1). Let a be 62\/(-140) - 270\/(-900). What is the fourth biggest value in -6\/11, j, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -64147824\nAnswer: 1\/16036956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2 - 2)*(28 - 15 + 38).\nAnswer: -102*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {i: 3, l: 2, s: 7, f: 1, z: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*u - 14. Let f = -0.4 + 0.9. What is the closest to u in 3, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from bboooso.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150377 is divided by 467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*g**5*u - 2*g**3*u + 219*g**2*u + 3*g*u + g + 68*u + 1 wrt g?\nAnswer: -800*g**3*u - 12*g*u + 438*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 65*z**2 - 47135*z + 7252. Calculate x(725).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79394171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 8035*o - 8155*o + 204 + 4*o**3.\nAnswer: 4*o**3 - 120*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7979 from -0.1.\nAnswer: -7979.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -210, -473, -840?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.8 or 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - 1) + 9)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = -3*q - w, 4 = 2*w. Let c = q - -9. Find the third derivative of -3*v**2 + 2*v**5 - c*v**5 - v**2 wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1392331894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11343519.78 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (13\/5)\/((-84)\/(-105))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1037181 millilitres to litres.\nAnswer: 0.0001037181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*((-4 + 3*sqrt(320) - 5*(sqrt(320) + 3)) + -1).\nAnswer: -96*sqrt(5) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 0, -4, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17654 and 163436.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/22, -4\/7, -0.3 in increasing order.\nAnswer: -4\/7, -0.5, -0.3, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1. Suppose 4*m + 3 = m. Let b(g) = -g. Let v(j) = m*b(j) + 6*s(j). Suppose -3*r + 9 = 0, r - 6*r + 35 = -5*o. What is v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Suppose 3*c - 2*x = -0*x + 25, -4*x = -5*c + 41. Let r(p) = -p + 5. Let y be r(c). Put y, 5, n in descending order.\nAnswer: 5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 453705366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)\/c*c*c)**(-3\/35))**(-29))**(-3\/4) assuming c is positive.\nAnswer: c**(261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 - 7*v**2 - 8*v - 100. What are the prime factors of y(-7)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25721 by -1.\nAnswer: -25721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 23 = c - 5*o, 2*c + 4*o + 340 = 0. Let k = 161 + c. Do 1\/6 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 63. Suppose -2*k - 4*t - 28 = 0, 3*t - 5*t = -4*k - 6. Put g, 4, -2, k in increasing order.\nAnswer: k, -2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/30 + 2*c**4\/3 + 3*c**3 + 25*c**2. What is the tens digit of s(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + 7*y**4\/24 - 8*y**2. Find the second derivative of m(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 - 6*p - 3. Let r = -5 - -12. Let l be u(r). What is the third derivative of q**4 - q**l + q**6 + q**2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1361813, 1361803, 1361795, 1361789, 1361785?\n\"Answer: k**2 - 13*k + 1361825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 65, 139, 241, 371?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 3 + -6 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 17*w + 27 = 0. Suppose 4*p + 27 = -w. Is 11 a factor of p + 7 + 24*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213023 (base 5) to base 7.\nAnswer: 313560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201608.\nAnswer: 2, 275201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 2 = -x - m, 3*x - 2*m + 23 = 0. Let k(n) = -3*n + 12. Is k(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y + 4. Let c(o) be the first derivative of o**4\/2 - o**2 + 5*o - 15. Calculate -4*c(j) + 5*i(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47449.09 + 47449. Let i be 12\/27*(-15)\/2. Which is the nearest to -2\/3? (a) 5 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -557 - -558. Let z = -4.04 + 0.04. Let r = z - 0. What is the biggest value in -5, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k - 51. Let p = 29 + k. Let q be (-15)\/(p\/4)*-1. Solve 4*w + 10 = -4*g + 7*g, 0 = -5*w + q*g - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-27)\/(-3) + -1. Let i(y) = m - 34*y + 4 - 30*y. Is i(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-0.1.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y + 1, -5*q = -4*y - 149. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3740260 (base 13) to base 3\nAnswer: 1012100112220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r. Let p(x) = -2239*x - 140. What is p(c(t))?\nAnswer: 17912*t - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 3. Let j(q) = -q**2 - 5*q + 5. Suppose -m = -3*f + 6, 4*m = 4*f + f - 3. Determine m*j(k) - 5*v(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-40)\/(-8)) + 2144969 + -8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-652)\/326)\/((-3)\/57)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 - 2*q**4)*(12 + 7 + 10)*(-3 - 4 + 5 + (-4 - 3 + 5)*(1 - 3 + 1) + 4 - 4 + 1).\nAnswer: -58*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.40611l in millilitres?\nAnswer: 76406.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -246*r - 425. Determine t(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4\/2703 (c) -0.04 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/(q\/(q*q*q**(-5\/3))))\/((q**(-2\/7)*q)\/q)**(-1\/24) assuming q is positive.\nAnswer: q**(-271\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1595*k**2 + 1569*k**2 - 3170*k**2. Let f(o) = -9*o**2 + o**2 + 0*o**2. Calculate u(f(i)).\nAnswer: -384*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 3 + 4 + 7506*a.\nAnswer: 7506*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/30 + g**5\/60 - g**4\/24 + g**3\/6 - 151*g**2. Calculate a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206185451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 + 5099\/11. Find the common denominator of -22\/89 and i.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 728ec + 37?\nAnswer: 72934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-6)*(-495)\/6. Let x = 240 + -606. Let k = j + x. What is the greatest common factor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6237, -6717, -7525, -8667, -10149, -11977, -14157?\n\"Answer: -t**3 - 158*t**2 + t - 6079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 72, -0.032 in ascending order.\nAnswer: -0.032, 27, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*p + 4, -3*p + 3*k = -k + 1. Suppose 2*m - 8 = 6*m. Let t(d) = -1. Let j(g) = 7*g - 6 - 2*g + 4 - 6*g. What is m*t(b) + p*j(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 23*d - 5. Let y(o) = -23*o + 4. Let p(f) = -5*b(f) - 6*y(f). Let a be p(2). Suppose -4*t = 8, -a = -2*l + 5*t + 29. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and 16.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 14*g**2 + 18*g + 43. Let m be q(-4). Calculate the highest common factor of 3135 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 1\/710, 0.25.\nAnswer: 1\/710, 0.25, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-18)\/(-43)) + 10\/(-190)*-95. Solve 0 + 10\/9*d**3 + 2\/3*d**4 - 2\/9*d + k*d**2 = 0 for d.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -444864 divided by 1324\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (81\/21 - (0 + 1))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 plus -3724156048?\nAnswer: -3724156048.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33479358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*c - 852, -b + 5*c + 519 = 2*b. Calculate the remainder when b is divided by 81.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k = -464 - 109 - 77 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) -11\/12 (c) -0.092 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (40 + -60 + -3) - 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39213762 to the power of 1\/2, to the nearest integer?\nAnswer: 6262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(0 - (13 - 14)) - (3 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + cde?\nAnswer: ce1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.5 - 15.27. Let u = -0.23 + s. Which is the closest to 2\/5? (a) u (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245040.9 months to decades.\nAnswer: 2042.0075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10*17\/(-765))\/(3 + (-164)\/54). Solve -3*t + u = -x + 4, -3*x - t = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:40 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2588 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 28*y**2 + 26*y - 6. Determine r(27).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 11236760?\nAnswer: 11236760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -1. What are the prime factors of (4\/g)\/((-6)\/81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -11\/10 (c) -13 (d) 62 (e) 5 (f) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(17) + -4)**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -72. Suppose -x*d = -2*y + 5, -5*d + 0*d = -3*y + 9. Let z(a) = -15*a**3 - a**2 - 2*a - 1. Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/35 + 202\/(-10). Let h be 2*(-26)\/u + -3. Which is the nearest to h? (a) -2\/7 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Suppose -5*p + 7*z = 4*z + 31, -5*p - 35 = -5*z. What is the units digit of p + 3 + t - -32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x + 9. Let i be d(-7). Suppose i*b - 7*b = -40. Let j be -1*b\/(-12)*3. Solve 3 = -3*p - j*u + 14, -2*p + 8 = 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/7 - 134920*s**2\/7 + 134924*s\/7 = 0. Calculate s.\nAnswer: -33731, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.92, 4?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 4*d + 7 + d**2 + 9 - 4. Calculate j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45648036 to the nearest integer?\nAnswer: 6756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*d)**(-5)*(d*d**(-1\/4)*d)**(-18) assuming d is positive.\nAnswer: d**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -83. What is the least common multiple of 12 and (-4 - -7)*-1*32\/x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*c - 12*c**4 - 149*c - 2*c**4 + 74*c + 2*c**2 as l*c**4 + i*c + v*c**2 + w + h*c**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 + 1942 = 2*w. Let a = 1662 - w. Is 70 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 12058*x + 1545276.\nAnswer: 2*(x - 5898)*(x - 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 - 32*a**2 - 5210*a + 835998 with respect to a.\nAnswer: -6*a**2 - 64*a - 5210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*r = 3374, 3*j - 3*r + 2020 = -r. Let c = j + 1279. Calculate the greatest common factor of c and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -179, 3, 5 in decreasing order.\nAnswer: 5, 3, -5, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, 40, 239, 642, 1321, 2348, 3795, 5734?\n\"Answer: 12*k**3 - 6*k**2 + k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1000 and 36110896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {m: 7, q: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p + 7*p = 0. Which is smaller: p or -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 86 = -45*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1815892889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -80, -113?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/56 and 131\/424704.\nAnswer: 424704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3360a (base 14) to base 7.\nAnswer: -1026313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*z + 5*z. Suppose 66 = z*l + 2. Let s = -15 - -18. Solve -4*w + 2*f - f = -l, s*w = 2*f + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 36*g = 2576. What is the least common multiple of g and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -37, -38, -27, -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72919581*t**2 + 51515294*t - 1.\nAnswer: 145839162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 4*z + 0 + 6*z - 4*z + 1 - 12*z**2 in the form m*z**2 + b*z**4 + h + r*z**3 + a*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 85*l - 6 - 92*l - 1 - 2*l**2 + 3*l**2. Give x(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2\/2 - o + 3. Let w be x(-1). Suppose s + 4*s + 5*m = 80, w = -4*s + 4*m + 40. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00439685225 rounded to 5 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 191\/5, -2\/3019, -1\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 (base 15) in base 5?\nAnswer: 14334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87602, -175168, -262734?\nAnswer: -350300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5973*h - 7 = j + 5971*h, -2*j + 2*h = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Suppose -30 = -4*r + 9*r. Let m be (r\/(-34))\/(30\/20). What is the second biggest value in l, -3\/5, m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-5 - sqrt(192) - sqrt(12)) + sqrt(12) + sqrt(336)\/sqrt(7))\/(((sqrt(432)*2 + sqrt(432))\/sqrt(8))\/(sqrt(576)*1 + sqrt(576))).\nAnswer: -352*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*o**2*w + 2*i*o*q**3 + 2*i*o + 764*i*q**2 + 794*o**2*q**3 - 2*o**2*q + q**3*w wrt q?\nAnswer: 12*i*o + 4764*o**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*p*z**3 - 13*p + 101*z**4 - 8*z**2 - 13*z wrt z?\nAnswer: 132*p + 2424*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:11 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/336*45312\/(-472)*49\/(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:33 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 2630526*x**3 + 71025174*x**2 + 639229482*x + 1917692820 = 0 for x.\nAnswer: -9, 1315290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(152) - 3*((sqrt(152)*2 - sqrt(152)) + sqrt(152)))\/sqrt(8))**2.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1294802 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 12*n - 7. Let h be p(-12). Suppose o + o = 238. Let t = h + o. Round t to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/4 + h**3 - h**2 + h - 8. Let l be f(-4). Find the common denominator of -57\/14 and (-53)\/(-22) + (-5 - l).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -7 (c) -56.75 (d) 5 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -10959.1 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 223?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3547240 + 8*v + 9*v + 3547240.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1944 and 18.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 192. Let m = 272 + -270. Calculate the least common multiple of k and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.891 + -0.109. Sort a, -8\/5, 2\/3, -0.2 in increasing order.\nAnswer: a, -8\/5, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 11*f**3\/3 + 5. Let v(d) = 512*d - 512*d + 2*d**2. Give v(o(x)).\nAnswer: 242*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 1. Let r(m) = -m**2 + 3*m + 72. Let q be r(-7). Let y(o) = 8*o + 4. What is q*y(d) + 7*h(d)?\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n + 63*n + 2784 = 76*n. Solve -2*w - 170 = n*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/4)*c*c**(-4\/21))\/(c\/((c*c*c**(-8\/7))\/c)*c)**(1\/73))**20 assuming c is positive.\nAnswer: c**(92905\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/492 and -151\/12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + s + 2*s)*(2*s + 1 - 1) + 35 - 35 - 263*s**2 + s**2 - 8*s**2 + s**2 to the form c*s**2 + y + k*s and give c.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 57?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/22, -1411737, -2 in increasing order.\nAnswer: -1411737, -2, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -39503d?\nAnswer: 395040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = d - 3*j - 11, d + j = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17625763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18744*c**5 - 53*c**3 + 2*c**2 + 131204*c - 2 wrt c.\nAnswer: -1124640*c**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119953247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/945 - a**6\/180 - a**5\/270 + a**4\/36 + 2*a**3\/27 + 13*a**2. Solve q(o) = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*c - 10989822, -2*q + 5*c = -34024277 + 12044635. Let w = q - 30389826. What is w rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.1484 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 21. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000160634 to 7 decimal places.\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 520\/576 - 1 - (-2)\/(-16). Let r be (3 - (-250)\/(-88))*3\/(-7). Is m < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14329519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, 0.279, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 78*r**2 + 10*r + 154. Does 149 divide x(78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16750 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 784*n + 4. Let g be k(12). Suppose -2*t + 3320 = -3*d, -4*t = -5*d + 2774 - g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Suppose -3*n + 7*n = z. Let s be n + (0 - (0 - 1)). Solve -s*q = -7*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569364, 569349, 569324, 569289, 569244, 569189, 569124?\nAnswer: 569049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 68*k**2 + 1834*k + 2010*k + 70*k**2.\nAnswer: 2*k**2 + 3844*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608626 and 1010.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 + 231. Let s be z\/(4 - 5) + (-9)\/12. Let y = 1.3 - -3.7. Which is the nearest to y? (a) s (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2853240 and 1141296?\nAnswer: 5706480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*d - 17, -4*d = -5*t - 8*d + 7. Calculate the remainder when t is divided by 11\/9 + (-2)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 10 = -6*w, 2*w = 5*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 + 57390*w**3 - 274352871*w**2 - 1098100260*w - 1098329868.\nAnswer: -3*(w - 9567)**2*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41134761, 41134763, 41134765?\n\"Answer: 2*l + 41134759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 53, -0.5, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -3261.\nAnswer: 19566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-6)\/14 - 0) + (-15045)\/(-413) and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/28 + 2\/7. Suppose 0 + 21 = b - 3*i, 3*b - 5*i = 43. Let z be ((-4)\/(-6))\/((-14)\/b). Which is greater: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 + 36*t**2 + 766*t + 4560.\nAnswer: (t + 10)*(t + 24)*(t + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -2*p. Suppose -20 = 17*w - 21*w. Solve 0*r = -q + r, -w*q + p*r - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 59467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53647331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1480568, 2961077, 4441582, 5922083, 7402580?\n\"Answer: -2*l**2 + 1480515*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1149196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*p = -21, 3*p + 24 = -0*y + 5*y. Let t(q) = -3 + 6*q**2 - 25*q**y + 4 + 0 - 8*q**2. Is 11 a factor of t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/10 + 4\/5. Let y = -36 + 39. Let b be 4\/(-5)*3\/(-6). What is the biggest value in y, x, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 - r**4\/2 + 13*r**3\/6 + 7*r**2. Let b be s(12). What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*h - 58*h - l + 1 = 0, -3*l = -5*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132242 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 59 = -2*y + 4*i, 2*i = 5*y - 75. Suppose -r - 6 = -y. Solve r*s - 25 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6661778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238827 + 0.04.\nAnswer: -238826.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)\/t)**(1\/15)\/(t**(-6)\/(t**(2\/5)\/t)) assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = 6. Suppose 0*r = h + 3*r - 2, 8 = l*h + r. What are the prime factors of 6 - (h - -1) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2)\/(1 + (-6 - (-4 + 5))). Let o(c) be the third derivative of p + 4*c**2 + 0*c - 1\/270*c**5 + 0*c**3 + 1\/18*c**4. What is l in o(l) = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:03 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -3a3?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 60. Let q be (-18)\/(-39)*9 + w\/(-26). Differentiate -19*a**q - 9 - 215*a + 215*a with respect to a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5118 and 6.\nAnswer: 5118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24211 divided by -3\nAnswer: -24211\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwvs when four letters picked without replacement from sggguucwgsgwwusvs.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69819431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(4\/7)\/g*g*g*g)\/(g\/(g\/(g**(-2\/15)*g))))\/(g**(-6\/11)\/g)**17)**(-1\/24) assuming g is positive.\nAnswer: g**(-16157\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91850 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7624 - 13?\nAnswer: -7637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 765*q - 9029 - 3976 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -16659484823.\nAnswer: -16659484823.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 - -515330?\nAnswer: 515154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**4 + 2128*q**3 - 3*q**2 + 9*q + 475.\nAnswer: -72*q**2 + 12768*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3472, -7517, -11568, -15625, -19688, -23757, -27832?\nAnswer: -31913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 186 = 4*u, 2*g + 3*u = 387. Find the common denominator of -26 and (-12)\/66 - 514\/g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(3\/(-4)). Suppose r*i - 16 = -2*i. Calculate the remainder when i is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2219\/8 - -278. What is the common denominator of f and 2\/(-40)*385\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -21. Suppose 3*u + 0*x + 5*x - 31 = 0, 4*u = -3*x + 34. Suppose -3*q + u = 1. Put k, q, -4 in increasing order.\nAnswer: -4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30416.003 - 30430. Let h = -14 - x. Round h to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.009? (a) 0 (b) 0.5 (c) 2\/13 (d) -1.6 (e) -3 (f) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 15. Suppose 4*h + 0*h - q = 0. Sort h, -3, 2 in decreasing order.\nAnswer: h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1274 - 545. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/6584 and 67\/10.\nAnswer: 32920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 5\/7, 2\/21, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*110\/660.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*2*6*(sqrt(252) + -1*sqrt(252) + 1 - (sqrt(252) - ((sqrt(252) + 0)**2 + -4))).\nAnswer: -47808 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9489, -18180, -26871, -35562?\nAnswer: -44253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 40 = -30, -n - 2*f = -11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 1. Let o be d(4). Let m = 12 + o. Suppose -m*y = -20 - 30. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 7, q: 3, a: 3}. Give prob of picking 2 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.817828 - -115.81782705. Let l = 23 - m. Round l to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from zwccgzcccwwgccc?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -42*a - 1174. Give n(-24).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -273, -533, -941, -1545, -2393, -3533, -5013?\nAnswer: -6881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d\/d**21))))*((d*(d*(d*d\/d**(-7))\/d)\/d*d)\/d)\/d)**(-5\/8) assuming d is positive.\nAnswer: d**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 5*x**2 - 4*x**2)*(2*x - 2*x - 2*x) - 21*x**3 - 9*x**3 - 6*x**3 as n*x**2 + i*x + l + k*x**3 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 2*b - 4*b - 4 + (-109 + 13*b + 109)*(1 - 1 + 1) to z + h*b and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (666\/(-130980)*59)\/((-1)\/(4\/102)).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/93168 and 19\/74405.\nAnswer: 10714320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220878 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2386*d**2 + 5*d - 2. Let l be o(-3). Let i = l + 37360. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 5. Let a(p) be the second derivative of p**3\/3 - 434*p. Calculate a(l(g)).\nAnswer: -10*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 3824981?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 5*d = 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/48510 and -10\/21.\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*s - 75 = 0, 5*s = -q + 9 - 0. Which is the closest to q? (a) 39 (b) -4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*r - 414, 0 = -2*c + 5*r - 1571 + 1992. Let g(d) = d**2 + 2*d + 1. Calculate the remainder when c is divided by g(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + p)*(0*p**3 + 5*p**3 + p**3) + p**4 + 3*p**4 - 2*p**4.\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f - 7 - 3*f + 6 + 5*f**2 - 3*f**2. Suppose a = -5, -3*c - a + 19 = -3*a. What are the prime factors of z(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8404 + 178 = 0. Is 75 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 4 (c) 928930 (d) -1\/7 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77894 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: Calculate the highest common factor of 90 and 6606.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -3. Let t = -24 + y. Which is the closest to 0.2? (a) t (b) -4 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*g + g = 30, -j = -g - 29. Let v = 17 + j. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35751 and 85.\nAnswer: 178755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i = 389*i + 159*i + 1836 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/119 or 1?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-1 + 2 + -1)**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -38543*l**2. Let k(g) = 3*g**2. What is w(k(a))?\nAnswer: -346887*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -12. Let q = -14 - g. Calculate the smallest common multiple of q and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.96 to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4711 - 1688 + 4*r**2 - 23*r - 5*r**2 + 1411.\nAnswer: -r**2 - 23*r - 4988","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {y: 2, d: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-616)\/2*2\/(-4). Let k(w) = -w**3 - 24*w**2 + 27*w + 64. Let y be k(-25). Calculate the highest common factor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 362, 108, -472, -1378, -2610?\nAnswer: -4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 1121 + 7*f - f**2 + f**4 + 2258 - 1128 - 4*f to the form m*f**2 + k*f**4 + i*f**3 + d + s*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 819825\/(-3315) - 6\/26. Which is smaller: q or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1244622)\/(-94832) - (-2)\/(-4). Let u = 3\/5927 + r. Find the common denominator of -41\/6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8732064 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose -1 = -m + n*d - 5, 4*m - 2*d = -4. Suppose -3*v + 3 + 3 = m. Solve 0 = -0*i + v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3126153, 3126152, 3126151, 3126150?\n\"Answer: -h + 3126154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = g + 3*c, -59107*g + 59104*g - 9 = -3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 160, 79, -62, -281, -596, -1025, -1586?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1732 - -1756) + (-11 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/104*152\/(-570)*5)\/((-18)\/(-6))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 6*x + 2. Let l be z(7). Suppose -3*h + l - 2 = n, 3*h = 2*n - 23. Solve -5*g = -n*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 2.2. Let z = -1913.239 + 1914. Let i = -0.761 + z. What is the nearest to i in l, 2\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 5*c**3 + 5*c**3 + (-8 - 3*c**3 + 8)*(0*c**2 + 0*c**2 + 2*c**2) + 2*c**5 - 6*c**5 + c**5.\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n - 98. Let u be l(6). Let x(h) = -h**3 + 4*h**2 + 4*h - 1. Determine x(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 760 = -5*c, -c + 456 = 2*c - 5*z. Suppose -4*f - 59*b + 58*b = -c, 0 = 2*f - 5*b - 76. What is the highest common divisor of f and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860, -2539, -3218, -3897, -4576?\nAnswer: -5255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 10 - (-3 - 0 - -7) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2. Let i(w) = 2961 - 2961 + 11*w + w. Give u(i(v)).\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 6*j + 4250. Suppose -5*u + j = q, q - 357 = -2*u + 4*q. What is the remainder when u is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -0.6 (c) -1 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33 and -9.7.\nAnswer: 23.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -33*t**2 - 69*t + 30. Let g = 339 + -377. Let h be v(g). What is h rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -27, 2\/5, -64.7.\nAnswer: -64.7, -27, -0.1, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10201 - 0?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*x + 4*z, 0 = x - 0*x - 4*z - 15. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25592983 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 4*q + 4*q)*(2*q + 5 - 5) + 2*q**3 + 2 - 2 - 5*q**3 + 5*q**3 + q**3 - q**3 - 5*q**3 + 4*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n + 5 = 2*m, -2*n - 4 = 5*m. Is 93*(-4 - -1)\/(-9) - m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-128 + 128 + 32*t)*((1 + 1 + 0)*(2 - 1 - 2) + 1 + 6 - 3) - 3*t - t - 2*t to p + m*t and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014958 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from faaiaaaiiaffifiii.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 249744\/6622 + (-4)\/(-14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -41*z + 590. Let f be -7*(13\/(-7) - -1). Let h be 12\/3*3\/f. Solve -h*d = -4*d - z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggrr when four letters picked without replacement from {r: 2, g: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 109 = -161. Suppose -4*x + 112 = -20. What is the remainder when x is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -103 + 786*t + 12*t**2 - 14 - 768*t. Let v(o) = -o**2 + o - 1. Let b(x) = s(x) - 18*v(x). Find the first derivative of b(u) wrt u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*9277\/5*(-10)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -282, -421, -796, -1527, -2734, -4537, -7056?\n\"Answer: -20*t**3 + 2*t**2 - 5*t - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -676857998 divided by 47\nAnswer: -14401234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -491\/1996 - 2\/499. Which is the nearest to 0? (a) 4 (b) -3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 46*z - 40. Let i(v) = 6*v - 5. Let p(o) = 8*i(o) - w(o). Let t(h) be the second derivative of 0*h**2 + h + 1\/3*h**4 + 0*h**3 + 0. What is p(t(s))?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose -2*r - 7 = -3*x, -6 = -x - l*r + 7. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318225 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/147851?\nAnswer: -1\/147851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485 (base 9) in base 3?\nAnswer: 10112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + 15*f + 22. Let s be a(8). Solve 7*v = -s - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/180*5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*g + 20 = 0, 0*y - 2*y - 3*g = 6. Let x be 27\/y*(-1)\/3. Which is the second biggest value? (a) -0.2 (b) -5\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssysdsyw. Give prob of sequence wyys.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1))\/s)**(-21\/2)\/((s*s\/(s**1\/s))\/s)**(-36) assuming s is positive.\nAnswer: s**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 924*l**2*p*v**2 + 9*l**2*p - 2*p*v**2 + 518*p wrt l?\nAnswer: 1848*l*p*v**2 + 18*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-999)\/81)\/37*(-984)\/8\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19115478 by 75.\nAnswer: -6371826\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 37*a - 148407 = 0. What are the prime factors of a?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 s when four letters picked without replacement from {s: 4, y: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**3 + 6*c**2 - 6*c. Let a be (15 + 3)\/(4\/6). Let t be a\/(-5) + (-3)\/5. Let x(j) = j**3 - j**2 + j. Let l = -9 + 8. Determine l*i(r) + t*x(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(3*o - 2*o + 0*o) + (-2*o - 2 + 2)*(0 - 1 + 0))*(-23*o**2 - 3*o**3 + 23*o**2).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - ((-6)\/2 + -3). Suppose -2*f - v = 15, -2*f = f + t*v + 26. Let y(z) = -3*z - 9. What are the prime factors of y(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223211989 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56, -0.3, -75\/211 in decreasing order.\nAnswer: 4, -0.3, -75\/211, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 189432 (base 11) in base 14?\nAnswer: 77d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**2*i*q**3 - 26*b**2*i*q - 53*b**2 - 155*i*q**3 - 49*i*q**2 + q**3 wrt b.\nAnswer: -8*b*i*q**3 - 52*b*i*q - 106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454027229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-91))\/((-1)\/(13\/(-4)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.351164905 to 3 dps.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 120125*z**4 - 238700*z**3 + 117030*z**2 + 1540*z + 5 = 0.\nAnswer: -1\/155, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3104 * -104.\nAnswer: -322816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from dkkddkd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1\/(-3) - (-20)\/12. Suppose 13*b = c*b + 605. Suppose -d = 2, 3*d = 4*u + 5*d - 72. Calculate the remainder when b is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -127. Let s be l\/((-9624)\/(-1924) + -5). Is 1\/2 + s\/(-26) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*l + 7, -30 + 10 = -4*o + 4*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 at most as big as 7164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Suppose -k*h - 27 = -5*h. Calculate the remainder when 16 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25073, -50452, -75831, -101210, -126589, -151968?\n\"Answer: -25379*z + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 453752 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaokokookoakkkk. Give prob of sequence okoa.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211982044, 423964088, 635946132, 847928176?\nAnswer: 1059910220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 3374?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0 + 0)*(8*x - 6 + 6 + (4 - 5 + 3)*(2*x - 3*x + 0*x)).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 18*z**2 + 115*z - 1. Let w be u(5). Sort 0, -2, w in ascending order.\nAnswer: -2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 47*g - 44. Let y be i(-46). Is (-27)\/81 + (3061\/3 - y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117565496 to the power of 1\/2, to the nearest integer?\nAnswer: 10843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-5 - -16) + 81 + -21.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let i = v + -3. Suppose 0 = 3*n - i*n - 15. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 4, 27, 76, 163, 300?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - d + 1. Let f(r) = r - 1. Let y be (6\/30)\/(1\/(-5)). Let m(j) = j**2 - 5*j + 5. Let g(c) = y*m(c) - 6*f(c). Calculate -5*g(i) + 3*o(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 21. Let m be (5 + (-123)\/27)*18\/4. Let l(v) = 13*v**3 + 9*v - 13. Let h(k) = 3*k**3 + 2*k - 3. What is d*h(r) + m*l(r)?\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4 + 2\/(-1) + 3. Suppose -r*f = 7*f - 2628. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-48)\/645*31110\/(-408). Which is smaller: -10 or r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 + 195. Let t = -41 - f. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 6. Let r = 0 - -5. Suppose -3*c + 7 = 5*j + c, r*c + 10 = 0. Let u = j - 3. What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57875*m + 2*m**3 - 8*m**2 + 4*m**2 + 57905*m to the form f*m**2 + u + k*m**3 + i*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 18 = -2*b, -2*b + x + 4 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -71 (b) -5 (c) 4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 7 = -5*y. Let x = -6 - y. Let h be (x + -93 - 2)*-4375. What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 2*l + 1. Let y(w) = -51*w**4 - 6*w**2 + 6*w + 553. Let m(x) = -2*d(x) - y(x). Differentiate m(g) wrt g.\nAnswer: 204*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1 - -4) + 4. Suppose 2*x - 42 = u*k, -x + 0*x = -4*k - 27. Calculate the greatest common divisor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2492 and -0.3?\nAnswer: 0.97476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m**3 + m**2 + 11*m - 11. Let p be h(4). Suppose -72 = 2*i + y - p, 1350 = 4*i - 2*y. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81216.541 rounded to the nearest 10?\nAnswer: 81220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 107142, -2, -122 in decreasing order.\nAnswer: 107142, -2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-22) + (-6)\/(-33). Is (-229)\/m + 11\/(-33) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 132 (b) 5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10090, 10092, 10094?\nAnswer: 10096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1)*728\/(-910)*(-1)\/(-42).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s - 2. Let a = -4 + s. Let j(p) = 32*p + 1. Is j(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4551402 or 4551398?\nAnswer: 4551402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 + 0*b**3 + 610*b**2 - 1214*b**2 + 604*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15*2655\/(-236)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 248.534*-0.31\nAnswer: -77.04554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -873*g**6*h + 2*g**3*h**2 - g**2*h**2 - 158*g**2 - 9*g*h**2 wrt g?\nAnswer: -104760*g**3*h + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 10928800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8370.339 from -128353.\nAnswer: -119982.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 2102212022100?\nAnswer: 2102212022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -0.22. Let x = -2.3 + 0.3. Let d = -2 - x. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and 3448?\nAnswer: 3448.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -237175.\nAnswer: -237180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4925\/24 - 1435\/8. Let c = i + -26. Let z be 2\/4*(-3 + 3). What is the closest to z in c, 0.4, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.46 - -0.06. Let b = 1.40052 + d. What is b rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 100 + 8 = 0. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19321 - 0?\nAnswer: -19321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-725)\/29)\/(-175)*4\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 + 0) - 276\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4381*l*u + 603402*l - 141*u with respect to u.\nAnswer: -4381*l - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10011011 (base 2) to base 14\nAnswer: -b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c - 18. Calculate the remainder when v(6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f + 10. Let z(s) = -4*s - 3. Let r(c) = 3*k(c) + 10*z(c). Let i(u) be the third derivative of -u**5\/60 + u**2. What is r(i(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4936, 154, -2 in decreasing order.\nAnswer: 4936, 154, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-68991)\/52)*(80\/280)\/((-16)\/(-42))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 32 (c) -6\/55 (d) 0.5 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.39012 and 44.\nAnswer: 52.39012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -23*y + 1. Let n = -58 + 56. What is the units digit of m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.06, 5, 246, 0.48 in increasing order.\nAnswer: -0.2, 0.06, 0.48, 5, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-110))\/((-1)\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2 + (-222)\/(-4). Let v = 59 - w. Let d(q) = 5*q - 1. Let u be d(v). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*sqrt(25)\/(-4*sqrt(5)).\nAnswer: -25*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4*32\/640)\/(7\/2170)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -6*a**5\/5 - 5*a**3 - 13. Find the third derivative of q(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-12))\/(8\/6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/15 - -1)\/(9\/(-54))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2123253.\nAnswer: 2123253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 6*x**2 + 6*x - 6. Let z be b(5). Let r = z + 7. Solve -c + 20 = -r*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-30)*x))*x\/(x\/((x\/(x**(-33)\/x*x))\/x)))**(1\/32) assuming x is positive.\nAnswer: x**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttk when three letters picked without replacement from tkwwkwktk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 601761287 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -44, -78, -122, -176?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 + 41060*b + 6*b**3 - 41061*b. Suppose 4*d = -5*f - 25, -3*f + 23 - 6 = -4*d. Calculate s(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1 + sqrt(2299))*-3 - 4*(0 + sqrt(2299)))*-6*1 + 1)**2*-3.\nAnswer: -438022731 + 1812888*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10550 - 15?\nAnswer: 10532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 78 - -9a?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 2 - 2 + (5 + 3 - 5)*(-3 + y**3 + 3) - 2 + 1 - 2*y**3 + 3*y**3 + 4*y**3 - 11*y**3 + 36*y**3 to x*y + b + n*y**3 + c*y**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2618*n. Let r(p) = p. What is q(r(j))?\nAnswer: -2618*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 41*j - 70. Calculate s(-8).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 18 = 8*a - 3*a, 2*g + 24 = -2*a. Let b = g - -22. Solve -2*v = -2 - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 19 - 2 - 1*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4576 - -142?\nAnswer: 4740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7143282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/11, -3, -1\/6, -67, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45969641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (11 - (15 + 3) - -21)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*q + 36*q**2 - 38*q**2 + 4*q - 260 with respect to q.\nAnswer: -4*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1302*n - 2609. Calculate k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 41310*i - 41310*i + 2*i**2. Let v(o) = 145*o. What is v(l(z))?\nAnswer: 290*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*x + x = -3, 4*d - 5*x + 3 = 0. Solve 5*j + d + 5 = -2*v, -j - 1 = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v + 155 + 34 = -243 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 2*z**2)*(2*z - 2*z + z**2) + (-z**3 + z**3 - z**3)*(-z + z + z + (-6 - 10 - 22)*(3*z + z - 7*z)).\nAnswer: -113*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19024*l - 14813 wrt l?\nAnswer: -19024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1957 - -1957. Solve 5*v - 15 = t, 4*m - 54 + 77 = v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 113 - 21*q**3 + (-q**2 - 1 + 1)*(1 + q - 1) + 7*q**3 - 14*q**2 + 14*q**2 in the form z*q + a*q**2 + c + y*q**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 90*k**2 + 3*k - 4. Let m be d(1). Let y(u) = 5*u + 87 + 2*u + u - m. Let v(s) = 17*s - 4. Calculate 6*v(t) - 13*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.068?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5255450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -25502.933?\nAnswer: -204023.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1\/5801 (b) -0.5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 0.092, 0, -0.4, -3, 2\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-61)\/(2135\/(-1365)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39286377?\nAnswer: 3, 13, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 17250269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d + 3 - 2 - 2. Suppose 3*j - 15 = -z, -z = -3*j + 4*j - 5. What is the remainder when o(-1) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*u - 86 = 0, g - 5*u = -2*u + 34. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 7*v**4\/24 - 31*v**3\/6 + 2*v**2. Suppose -20*h + 35 + 65 = 0. Let g be i(h). Solve -d = g*d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**5 - 45*x**4 - 132*x**3 + 1503*x**2 - 3348*x + 2268 = 0. What is x?\nAnswer: -6, 3\/2, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*q - 16, 2*q - 12 - 10 = -4*w. What is the highest common factor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i - 1. Suppose 0 = -103*w + 104*w - 6. Calculate the remainder when d(-2) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88326?\nAnswer: 2, 3, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340952923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:58 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1924*w + 5622 = 2462*w + 3672*w + 1412 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/3 (b) -0.5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -37*r + 112. What is the hundreds digit of m(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 96*u**2 + 26*u + 49. Is w(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3460.1617 + -3460. Let u = t + -0.16. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2\/s)\/s*s)**(-1\/20)*s**6\/s**(-1)*((s**(4\/5)\/s)\/(s**(2\/15)\/s*s))\/((s\/(s*s\/(s**(2\/7)*s)))\/s*s**(-4)) assuming s is positive.\nAnswer: s**(4759\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 137375197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.15 + -143. Let q = 50.6 + 1.4. Let x = s + q. Round x to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5 and 25\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2625923 - 1318923. What is u rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267 or -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let y(q) be the third derivative of q**5\/60 - 6*q**2. Let i(d) = -2*m(d) + 3*y(d). Let h(t) = 2*t**2. Give h(i(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 2*d, -2*d = -3*f - f + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55) + -3*(sqrt(55) + (sqrt(165)\/sqrt(3) - sqrt(55))))*6)\/(-4*sqrt(405)))**2*-2.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 27, -4, -0.02, 0, 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21 - (-940)\/(-1974)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 1. Let h be -6 + 2 + -3 + 4. Let m(i) = 2*i + 2. Let b(t) = h*k(t) - 2*m(t). What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.01324.\nAnswer: -0.05296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22\/2*2\/1 is divided by (0 + -2)\/(7\/(-42))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*g - 293*g - 291*g - 288*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038 is divided by 105.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 14*u**2 + 5*u. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s - 87*s + 62 = 0. Suppose -8*j - s = -102. Let m = -4 - -1. Sort j, -2, 1, m.\nAnswer: m, -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 17. Let n be l(7). Let r(v) = 2*v - 3. Let j be r(n). Solve 0 = 3*h + j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 5*m + 109, 2*o + 3*m - 117 = 0. Differentiate 45 - 54*j**4 + o + 63 + 211*j**4 - 8 wrt j.\nAnswer: 628*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 5. Suppose k = -3*a + 21. Solve 0 = -4*g + 11 + a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 20. Let d be u(-11). Let h = -5 - d. Solve 4*q = -x + 11, 4*x + h*q = 9 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.5934 millilitres to litres.\nAnswer: 0.7265934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 389*u - 157*u + 8*u**2 + 30 - 112*u. Is 18 a factor of o(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1675731 and 9699?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -36*s - 8. Calculate the least common multiple of u(-3) and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d**3 + 5*d**3 - 2*d**3)*(0*d + 3*d - 5*d)*(d - d + 2*d) + d**5 + 0*d**5 - 2*d**5)*(5 - 14 - 29).\nAnswer: 646*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2660 and 912?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -678948 divided by 169737?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 8*p - 4. What is the third derivative of 3*l**6 + 0*l**2 + p*l**5 + l**2 - 2*l**5 wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*b - 1686 + 29*b**4 - 2*b**3 - 6*b**4 - 26*b**4 - 2143 wrt b.\nAnswer: -12*b**3 - 6*b**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19689657 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -231, -2024, -6917, -16458, -32195?\n\"Answer: -258*z**3 - 2*z**2 + 19*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241591 is divided by 80523?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 84, 0, -9, 76?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*y + 6, -5*t - y = y + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 14. Suppose -q - d*q + 144 = 0. Let f = -711 + 729. What is the greatest common factor of f and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 48 + 581*o)*(2*o**4 - 2*o**4 + o**4).\nAnswer: 581*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6 + a**2 + 5 + a)*(-1 + 1 + 3*a**3).\nAnswer: 3*a**5 + 3*a**4 - 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(7) + 0 + sqrt(7))**2 - (sqrt(343))**2*3) + (-2*sqrt(343))**2 + -2 + -3.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s = 4*z + 5, 0 = 2*z + 2*s. Let c = 23 - z. Let d = -12 + c. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2032333321 + -3?\nAnswer: 2032333313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 3*f - 5*h + 10, -4*h = f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 25*b**3 + 3*b**2 - 9*b + 10. Determine q(2).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 - (-255)\/21) + 1)*-1. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -28432?\nAnswer: -28428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {a: 6, c: 1, h: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3*t**5\/35 - 3*t**4\/7 + 13*t**3\/7 + 60*t**2\/7 - 144*t\/7 - 227. Suppose c(h) = 0. Calculate h.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(275)*1*5 + sqrt(275) + sqrt(275)))**2 + (sqrt(275) + -5*(0 + sqrt(275)) + 0)**2.\nAnswer: 58295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161 - 50*j + 3*j**2 + 2663*j**3 - 2664*j**3 + 6*j**4 - 162 to the form s*j**4 + u*j**2 + c*j + g + o*j**3 and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4702222 is divided by 15467?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 - 2*d**3 + d**3 - 3*d**3 + 5*d**3 - d**3 + (3 - 3 + 3)*(2*d**3 - d**2 + d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - (9 - 7 - 5) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/(2\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 7*r**2 - 18. Does 56 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - x**2 + x**2 + (2 - 2 - 2*x)*(-2*x + 4*x + 0*x) - 1146*x**2 - 6*x + 2285*x**2 - 1123*x**2 as s*x**2 + f*x + v and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - -15) + 4 + -8 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let w(n) = -47*n - 1. Let g(m) = -12*q(m) - 3*w(m). Let k be g(-14). Let h = k + 2809. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*(-54)\/(-36)*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.0842 (c) -6 (d) -4 (e) 1\/4 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -185. Let r = d - -90. Suppose -5*t = -3*c + 3592, 0 = c - 5*c + r*t + 4771. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.2, -6.3, 1\/3, 5.69, -0.3?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 5*c + 5*g, -c = 3*g - 3. Suppose -2*a + 7 + 7 = c. Let q(n) = -n**2 + 12*n - 5. Let l be q(a). What is l rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121837181?\nAnswer: 17, 157, 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -30. What is the greatest common factor of 128 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -43, -151, -351, -673?\n\"Answer: -5*w**3 - w**2 - 8*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 4, w: 5, d: 4, e: 1, t: 4}. What is prob of sequence we?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*g - 2, -26*q + 14 = -29*q + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21714 by 6.\nAnswer: -3619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 4200?\nAnswer: 4206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 4\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*n**2*q - 126*n**2 - 2*n*q**2 - 4*q + 2 with respect to q.\nAnswer: 7*n**2 - 4*n*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - -2) + (-24)\/8. Let i = 3 - 3. Suppose 2*p + 12603 = -i*p + k, -3*p = -q*k + 18915. What is p rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*((s**(-11)\/s*s)\/s)\/s)\/s*s\/(s\/(s\/(s\/(s*s*s**(-8)))*s*s)))\/(((s*s*s**(-1\/9)\/s)\/s)\/(s**(-4\/7)*s)) assuming s is positive.\nAnswer: s**(-911\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-3)\/(-6) - (-15)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:57 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:17 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (12\/3 - 3). Let x be -2 + (-68)\/2 - f. Let q be (-9 - -11)\/((-8)\/132). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/336 + 33\/432. What is the second smallest value in 4, 0.2, 21, 5, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o + 71*o - 106*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.182 - 885.182. Let d = h + 889. Which is the biggest value? (a) 5\/3 (b) d (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1394023*c - 3039581?\nAnswer: -1394023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and (66\/(-88))\/((-18)\/484) + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.0298 micrometers in millimeters?\nAnswer: 0.5360298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/17)*d)**(33\/4) assuming d is positive.\nAnswer: d**(264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-12 + -4 + 3). Let r = -11 + m. Let o(g) = g**3 - 5*g**2. Let s be o(5). Solve s = 2*t + 2*t - 16, 3*t - 17 = -r*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - y + y + (-y + y - y**2)*(32 - 4 + 30)*(3 - 2 + 1 + (-3 + 0 + 2)*(0 - 2 + 3)) to b*y + x*y**2 + o and give x.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -2)*-1 + 0)**2*4 + ((6*(-1 + sqrt(98) - sqrt(98)))**2 - ((sqrt(98) + 1 - sqrt(98)) + sqrt(98) + 3)**2).\nAnswer: -168*sqrt(2) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Factor -5*n - n**4 - n**3 + 5*n + 2*n**k.\nAnswer: n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6 - 8. What is the fourth biggest value in 3\/7, 2\/3, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:05 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + 3. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (7 - (7 - -1 - -5)) - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/3 + 3761096*q + 5304691170456 = 0?\nAnswer: -2820822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 657 (b) 2 (c) 5 (d) 4 (e) -1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.1, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*s**3 - 3709*s - 3717*s + 2 + 7417*s + 114*s**3 + 53*s**3 to the form b + c*s**3 + a*s**2 + h*s and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(264)\/(3*sqrt(891)))\/(sqrt(768)\/sqrt(4) - (sqrt(12) - 1*sqrt(12))*-2))**2.\nAnswer: -sqrt(2)\/54 + 5833\/5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 26*n**2 - 38*n - 256. Let o be r(-27). Calculate the greatest common divisor of o and 4141.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38727 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2567*s**2 + 4*s**3 + 2553*s**2 - 7663*s**2 + 2551*s**2 - 4*s**3 + 7*s**3.\nAnswer: 7*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1242)\/(-552)*2\/18)\/(5\/(-1740)*3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28101135 rounded to four decimal places?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02647809 rounded to four decimal places?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c4574 (base 16) in base 8?\nAnswer: -17042564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 4012208.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 1:12 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**3 + 5*m**2 - 4*m + 1. Let k be o(3). Let p = 482 - k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1426*s**3 - 995 - 58*s**3 - 866*s**3 + 2252*s**3 - 877 with respect to s.\nAnswer: 8262*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**4 + 2*q**2 - 7*q**4 + 0*q**4 + q**3 - q**2 - 2*q**4 - q**3 + (-3*q + 5*q - 3*q)*(q - q + q**3).\nAnswer: -2*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 11*n - 3. Let d be z(-10). Let f = d - -13. Suppose 3*i - 6 = -f*i. Solve -3*s = -i - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-5))\/(4\/20). Suppose -j + m = 4*g - 0*j, 0 = 4*j. Suppose -5*q + s = -q + 3, 0 = -g*q - 4*s - 24. Let f(v) = -v**2 - 3*v + 2. Determine f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 6, e: 1, c: 1, i: 3}. What is prob of sequence uu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13471 - -12569. Which is smaller: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjccgjccbegjjcggcccg. What is prob of picking 1 e and 1 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 77*u**2 + 87*u - 3. Let l be o(25). Round l to the nearest one hundred.\nAnswer: -30300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 55543*g. Let d(j) = j**2. Give f(d(i)).\nAnswer: 55543*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w**2 + w + 196. Let l be y(0). Calculate the highest common divisor of 49 and l.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2191061168 by 4.\nAnswer: 547765292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 74) + (-69 - -149)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x**3 + 7219*x - 14432*x + 7213*x.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6644, 13280, 19920, 26558, 33188, 39804, 46400, 52970?\n\"Answer: -k**3 + 8*k**2 + 6619*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17104*q + 560 - 281 - 279.\nAnswer: 17104*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 + -5. Let j = -14453 + 14452.6. Which is the fourth smallest value? (a) -3 (b) j (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 51 = 6*n, 174 = 72*n - 78*n - 4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/6*3)\/((-7)\/(-7)). Let d be (-1)\/2 - k\/(-14). Solve d = y + 3 + 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2\/7 (c) -133464 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-25\/3)*(n*n**(-1\/2))**40 assuming n is positive.\nAnswer: n**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y + 10. Let i(n) be the first derivative of n**4\/24 + 5*n**3\/6 + 2*n**2 + 2. Let r(c) be the second derivative of i(c). Determine r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {r: 3, c: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*q**3 + 335 wrt q?\nAnswer: -105*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19664 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 8:58 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.2 (c) 1 (d) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1)**(4\/11)*(m\/(m\/m**(-1\/6))*m)\/m*m*m**4*m)**(5\/2) assuming m is positive.\nAnswer: m**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 440*l + 8 + 12 - 27 + 7 to j + m*l and give m.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6003042126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22933\/3 - -7644. Which is the nearest to 0? (a) 614 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2390 - 2390.1. Let r(f) be the third derivative of -f**5\/60 - f**4\/4 - 7*f**3\/6 + 10*f**2. Let p be r(-5). What is the nearest to -1 in p, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 - 82*x**2\/7 - 54*x\/7 + 18954\/7 = 0.\nAnswer: -27, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.275157 millennia?\nAnswer: 63301.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from numaeunuuamm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 53. Suppose 2*q + 3*q + 123 = 3*b, -u*b - 3*q = -193. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6, -1 = v - 0*p + 3*p. Suppose -3*f - 12 = -5*f. What are the prime factors of (-24)\/v*20\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191534010 to the power of 1\/3, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21435, 43000, 64565?\n\"Answer: 21565*x - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 9 - (-11 + 11 + -5 - -15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 23*w + 50. Determine y(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -352 - -354. Suppose 4 = 3*k - u + 2*u, -6 = -4*k - u. Suppose -w + a = 3, k*a - 4 = 3*w - 0*a. Solve 11 = -4*z - 3*f, -n = w*z + f + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/10*(-11 - 1). Let u(f) = -6 + 0*f**2 - 10 + 14 + f**2 - 3 - 3*f. Let n be (-3)\/(3\/2) + 7. Let g(q) = -q**2 + 4*q + 6. Determine n*g(r) + w*u(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*i + 85 = -i, -3*a + 4*i = 64. Calculate the common denominator of -3 - (18\/a)\/(-3) and 5\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 88. Determine t(7).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -135*z. Let u(i) = -5*i + 44. Let v(a) = 15*a - 121. Let h(r) = -11*u(r) - 4*v(r). Calculate h(p(g)).\nAnswer: 675*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*6)\/sqrt(11).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/(12870\/108) + 404\/(-26). What is the nearest to 2\/7 in 3, r, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - s - 2. Let o be r(2). Suppose 0 = 4*d + 26 + 14. What is the units digit of (o\/d)\/((-4)\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*s + 130645 = 154685 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l**3 + 1880 + 60*l**3 - l - 78*l**3.\nAnswer: 2*l**3 - l + 1880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 166307612 divided by 41576903\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 17*g + 1430800 = 467320. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 5*l. Let k(u) be the first derivative of -3 - u - 1\/3*u**3 + 1\/2*u**2. Let j(a) = 5*k(a) + x(a). Differentiate j(t) with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (404\/(-808))\/(1\/1*2\/(-166)) and 25\/3044.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -2\/137 (c) 0 (d) 5 (e) 0.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 138244 - -5?\nAnswer: 138250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - k - 27, 0 = 4*z + 4*k - 4 - 8. Let n = z - -4. Let h = 10 - 7. Calculate the greatest common factor of n and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443794 and 676?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {n: 3, r: 2, w: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17*w**3 - 3*w**2 - 87*w + 13. What is the ten thousands digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 184*o**3 - o**2 - 9*o + 15. Let j be f(2). Suppose j = 2*g + n, 4*n = 2*g + 6*n - 1464. List the prime factors of g.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15727, 31496, 47265?\n\"Answer: 15769*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3.1, -1\/3.\nAnswer: -1\/3, 0.2, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 309 = 4*g - 287, -5*g = -4*y - 724. Let u(o) = o + 11. Let f be u(-8). Suppose -m - f*m + g = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:38 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 867 divide 21742057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from rrlxayg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140767246 - -32170246. What is k rounded to the nearest 1000000?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 570110?\nAnswer: 570109.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 200 = -27*t. What is the greatest common divisor of t and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:55 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -217*f**4 - 7*f**3 - 981. Let a(q) = 73*q**4 + 2*q**3 + 327. Let d(y) = 7*a(y) + 2*v(y). What is the derivative of d(t) wrt t?\nAnswer: 308*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 - 101*n - 393. Let y be r(-5). Solve 92*u - 86*u + y = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/2 (b) -2117 (c) -0.4 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 60196*g**2\/5 - 3286*g\/5 = 0.\nAnswer: 0, 1643\/30098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -22. Let t = w + -35. Solve -t*o = 10 - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333.\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 74*a + 1433. Let c be k(35). Is c greater than or equal to 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 4*l - 4*p - 32, -5*l + 4*p = -9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295579?\nAnswer: 17, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10742415 is divided by 2148475?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14323, -28648, -42961, -57256, -71527, -85768, -99973, -114136?\n\"Answer: f**3 - 14332*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by -14 - (-7 + -171 + -11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + x**3 - 3 + x)*(-9*x - 30 + 30) + 2*x**4 - 2 + 2 + (-x + 3 - 3)*(-2*x**3 + 3 - 3) to w*x**3 + s*x**4 + g + q*x + o*x**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -11364?\nAnswer: -11370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -43750000 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -407\/5. Let r = -3.68 + 1.68. Let z = r - 3. What is the third biggest value in -2\/3, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 935\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3410 = -5*q - 4*m, 17*q - 22*q + 4*m = 3450. Put q, -2, 5, 0 in ascending order.\nAnswer: q, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 8*g = 5*t + 115, 3*g + 2*t + 27 + 19 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577640401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57717 - -81296. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 4)\/((-1)\/9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 - 58 + 535 = -151*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 37*k - 40*k - 2055 = 0, k = -4*j + 4131. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 1179 = 10*s. Let h = -72 + s. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 25*h - 11017. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 57)*(-8)\/10. Suppose -2*y - 186 = 7*q - 8*q, -4*q + 2*y = -762. Suppose -7*s = s - q. What is the greatest common divisor of j and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13291181*u**3 + 2*u**2 - 3290*u + 835?\nAnswer: 79747086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*v - v + 12 = 0, -5*v = -u + 6. What is the remainder when 1\/(u\/(-9))*-14 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**3 + 30*v**2 - 33*v + 3. Give f(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(-31*l + 12*l - 4*l) + l + 3*l - 3*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-55)*99\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 26*s = -19*s + 12*s. Solve s = 5*o - 4*o - z, 5*z = o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4*c\/((c*c**(-13)*c)\/c)*(c*c\/(c*c**(-10)))\/(c*c\/c**(-1\/16)) assuming c is positive.\nAnswer: c**(415\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.06 - 20. Let t = -52\/3 + 17. What is the third biggest value in t, 0.4, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/8 + 55453*n\/2 - 3075035209\/2 = 0.\nAnswer: 110906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (0 - -1)) + -1. Find s, given that 3*s**4 - 162*s**2 + 162*s**v = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15228287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2*-1 + 3). Let s be 3*4*a\/(-3). Let r = 22779 - 205013\/9. What is the closest to -0.1 in 0, s, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ayaaycyyaa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*v + 40 = 0, 29 = -2*t + 7*t + v. Suppose t = 5*h - 110. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-16)*3)\/((-3)\/(72\/(-6)))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + 0*i)*(-3*i**2 + 2*i**2 - i + 3*i) + 4*i**3 - i**3 + 3*i**3 + (6 - 4*i - 6)*(0*i + 0*i - 2*i**2) + 4*i**3 - i**3 - i**3 + 3*i - 3*i + i**3.\nAnswer: 16*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Suppose -q*g = -7*g + 30. Suppose 0 = o + 4*h + g, -4*o + 5*h + 95 = o. Solve 4*n = k - o, -3*k = 5*n + 3 + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*q**2 + 3 + 6 - 4 - 3 to v*q + k + d*q**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2231302*w + 33469526. Calculate r(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 20*u - 3*g + 18222, -u + 3626 = -4*g. Is u a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let b(f) be the third derivative of 0 - 1\/24*f**4 - 3*f**y + 0*f**3 + 0*f - 1\/120*f**5. Suppose b(d) = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 3 = 5*s. Suppose -n - 8 = -s*n. Suppose -3*k + n*b = -58, 0*b - b = -1. Calculate the highest common factor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19041*t**3 + 45412 wrt t.\nAnswer: -57123*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/5 + 72*f**4 - 37301*f**3\/5 + 174966*f**2 - 958320*f = 0.\nAnswer: 0, 8, 22, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54939914?\nAnswer: 2, 3461, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 18*w**3 - 22*w**3 - 3*w - 1 + 5 - 5*w**2 + 4*w**2 to the form f*w**3 + n + v*w**2 + u*w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17173608?\nAnswer: 2, 3, 715567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/2*2\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 1)**2*-1.\nAnswer: -1101 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136*l + 134*l + l**4 + 2*l**4)*(-2 + 0 + 1).\nAnswer: -3*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (10 - 39)) + 3 + 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 2*c**2 + c. Let q be (-8)\/(-5)*20\/8. Suppose 2 = -q*w + 3*w. List the prime factors of o(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q**2 + 3. Let v be w(0). Solve 4*x = x - v, -4*a = x - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1006 - -949?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7630 and 13596590.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8 and -44\/31?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 148 + (-5)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54710210397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7424789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, 1 h, and 1 v when four letters picked without replacement from {u: 7, x: 1, d: 1, i: 1, h: 5, v: 4}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2529746704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b. Let j(o) = 6*o**2 - 5*o. Let n(w) = j(w) - 5*m(w). Let x(l) = -14*l**2. Calculate x(n(s)).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65785500 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2, -0.4, 43, 4\/7, -231, -1\/148?\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*w + w. Suppose w*t + g = -4 + 9, -5*g = 5*t - 25. Suppose -4 = -t*n - 2*n. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k + 2*k**2 + 8*k)*(0 - 2 + 0) to w + j*k + z*k**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 14*c + 5*c**3 - 3*c**2 + 6*c**2 - c**3 + c**3 to the form v*c**3 + a*c + r*c**2 + x and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c - 23*c - 30*c**2 + 30*c**2 + 21*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 4*y**2 - 6*y + 3. Let f be c(5). Let x(m) be the second derivative of -m**3\/6 + m**2\/2 + m. Let b be x(4). Are f and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/6 + (-1585877)\/(-251187)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/63*-2 + 6\/(-14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47033, -47139, -47311, -47555, -47877, -48283, -48779?\n\"Answer: -x**3 - 27*x**2 - 18*x - 46987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + d + 3*d + (0 + 0 - 15)*(-d + 0*d - d) - 2*d - 3*d + 3*d in the form x + z*d and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 25. Determine z(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 + 2*x**4 - 6*x**3 + 19*x**2 + 2*x**5 - 4*x - 29*x**2 + 2*x**5.\nAnswer: 2*x*(x - 2)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -4\/5, 514, 4\/3, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*a - 8 = 0, -4*h + 2*h - 4*a = 8. Suppose q - 3 = 1. Solve k = -h - q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42358 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - t - 7 = -8, 5*t = -6*a + 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -1*(-2)\/(-1). What are the prime factors of (0 + -31)\/(a\/(-8))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 206, 500, 970, 1628, 2486, 3556, 4850?\n\"Answer: 2*n**3 + 76*n**2 + 52*n + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.024\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -2150325?\nAnswer: 2150336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 102 = -2*k + 104, 0 = -k + 4*i - 4. Solve -30 = 5*c - x + 6*x, 16 = -k*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2159 + 3a41?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1551 and 708.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -92129.4513 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -35 + (-1 - (-22 + 3)) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (7 + -2 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338248?\nAnswer: 2, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let i be o(2). Suppose -14 = -i*t - x, 2*x = -5*t - x + 22. Solve t*k = -3*b + 17, 3*b = 2*b + 3*k + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95*k + 106 + 97*k + 100*k - 298*k to the form p + s*k and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 1\/2*j**4 + 0 + 0*j**3 + 0*j**2 - j. Let d(x) = 0*x + 0*x + x**2. What is m(d(h))?\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0228074 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29445 or -26220?\nAnswer: -29445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3*h**4 + 10521*d**3*h + d**3 + 3219*d**2*h**5 wrt h?\nAnswer: 84*d**3*h**2 + 64380*d**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21)\/168 + 44354\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. What is the third derivative of z**m + 2*z**6 - 3*z**2 + 4*z**6 wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i - i**3 + (i + i + 0*i)*(i**2 + 2*i - 2*i) + 9216*i**3 + 866*i**3 + 2*i - 2*i + 0*i.\nAnswer: 10083*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/7 (c) -2 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -85572410670 rounded to the nearest one million?\nAnswer: -85572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55896\/84 + ((-34)\/14 - -3) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 104, -127, 2\/9?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2622 less than or equal to -2623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -88. Let w = -18 - -47. Suppose -v = -3*i + 4*v + w, 0 = -4*i + 4*v + j. Solve -r - b - 1 = 0, -i*r + b + 3 - 2 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 25*v**2 - 47*v + 25. Let r be a(23). Find the common denominator of (-4)\/5 + (1337\/(-560) - r) and 55\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658350 is divided by 829164.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/33, 0, -2\/21?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/2, 652, 1\/7, -2, 1, -47?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18 = 2*q, -3*q + 6 = -0*q - 3*h. Suppose 0*v = -q*v + 120. Solve d - v = 5*l, l + 37 = 4*d + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 + 0*h**2 + h**2 + (2*h + 0 + 0)*(-3*h + 0*h + 4*h + (4*h + h - 4*h)*(-1 + 0 - 3)) + (h - 3 + 3)*(h - 2*h + 4*h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/5 (c) -3093\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*t + t + 42 - 70 + 45 = 0, 0 = -9*t + 153 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2444 or -2441?\nAnswer: -2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 220, 353, 510, 697, 920, 1185, 1498?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.49 + 12.528. Let q = g - 2. Let u = q - 0.0485. Round u to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40511126*w**2*x**3 + 1110131*w*x**3 - 14*x**2 wrt w.\nAnswer: 81022252*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 1, l: 2, t: 3}. Give prob of picking 3 t and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(272)*-3 + 3) - ((sqrt(272) - (sqrt(272) + -2*(sqrt(272) + 0))) + (-1 + sqrt(272))**2*-3 + 0).\nAnswer: 112*sqrt(17) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -325*p + 322*p - 4*o + 143879, 2*o - 143869 = -3*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*v**2 - 5895 - 3*v**3 + 5895 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59884 divided by 6.\nAnswer: 29942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from errsl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 45420 = z + 4*t, t = -z - 11349. Is 2 + 5\/(-3) - z\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 14538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 414*v**2 + 1280*v + 4200.\nAnswer: -2*(v - 5)*(v + 2)*(v + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cfb87e - -1?\nAnswer: cfb87f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 4. Let s be g(-3). Let l = 22 + -16. Is (1 + s)*8\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43074752 to the power of 1\/2, to the nearest integer?\nAnswer: 6563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.007 + 0.007. Let a = -3522581 - -3522547.99914. Let o = u - a. What is o rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 202222?\nAnswer: 202131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.22, -131778, 3?\nAnswer: -131778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11946595 or 11946596?\nAnswer: 11946595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let f(d) = 6*d - 1. What is 4*f(g) + 7*v(g)?\nAnswer: 3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/19 or -1046?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 13*y + 166. Give a(20).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6028 + 6027.903. Let x = 30529 - 30528.903061. Let s = r + x. What is s rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*i - 494, -2*i + 3*r + 154 + 86 = 0. Let l = -79897 + 79897. Sort i, l, 4 in decreasing order.\nAnswer: i, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - ((19 - 96) + 40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20225, -32333, -44441?\n\"Answer: -12108*m - 8117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Let v(y) = r*y**2 + 0*y**2 + 0*y**2 - y**2. Let u(b) = 2*b**2. Determine u(v(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1371 - -1372. Suppose -2*g - n = -u, 2*g = -2*g + 5*n - 5. Find x, given that -1\/6*x**2 - 1\/3*x + g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 782800 and 1000?\nAnswer: 3914000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5324.046g to kilograms.\nAnswer: 5.324046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quwupzzzz. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 25 (c) 5 (d) -1\/4 (e) -9 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 11*m - 10. Let c be f(-10). Suppose -y + c*y + 2 = 0. Suppose z + z = 4*z. Solve z = y*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5153, -4998, -4743, -4394, -3957, -3438, -2843, -2178?\n\"Answer: -d**3 + 56*d**2 - 6*d - 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1511*k*n**3 - 6*n**3 + 66 with respect to k.\nAnswer: -1511*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, n: 5, h: 7}. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231271243 to the nearest integer?\nAnswer: 15208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c*u**3 + 74*c*u**2 + 338*c - 5375*u**3 wrt u.\nAnswer: 42*c - 32250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12551660?\nAnswer: 2, 5, 11, 59, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23645 and -1.4?\nAnswer: -33103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*x - 128, 5*d + x - 256 = 5*x. Let g be 4\/(4\/120*3). Let j = g + -28. What is the greatest common factor of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/80 and -17\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723*o = -728*o + 60. Solve o = 43*u - 40*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + s + 23, 7*b + 3*s - 21 = 4*b. Solve 16 = b*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.1, -1\/2, 2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/330 - u**4\/66 + u**3\/11 - 15*u**2. Solve a(c) = 0 for c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from lqbxpyp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 25*q**2 - 27*q - 23. Let k be h(-26). Solve k*r = -4*n - 26, -n = 2*n + r + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let b(n) = 9*n + 6. Let m(r) = -20*r - 14. Let c(u) = -7*b(u) - 3*m(u). Calculate -4*c(o) + 6*w(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21*(-6)\/(-8))\/((-5)\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 3*(-6)\/(-45) + 192\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6995116395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 133240 divided by 13\nAnswer: 133240\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 8) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461776295?\nAnswer: 5, 103, 449, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270 + -244 + -28 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let d be (-286)\/39*(-13 - -1). Let z(p) = 185*p**2 - d*p**2 - 80*p**2. Calculate r(z(w)).\nAnswer: -578*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13660996, 27321957, 40982918, 54643879?\n\"Answer: 13660961*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3 + 250*f**2 - 1700*f wrt f?\nAnswer: 30*f + 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/3, 0.005, 131696, 2\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27113831 and -1.\nAnswer: 27113831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o**3 - 8*o**2 - 2*o - 5. Determine k(-3).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + -9 + 11 + 13 + -1 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1316 + -1310. Let d be (2\/1)\/(10\/25). Let n(a) = -a**3 + 8*a**2 - 7*a + 2. Let h be n(d). What is the greatest common divisor of q and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = -0*g - 3*g. Suppose -2*y + g = -251. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/32420 and -59\/29178?\nAnswer: 291780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 66. Suppose 2*x = -6*f + w*f + 1, 0 = 5*f + 5. Solve -p = x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2\/5 + 3013*x\/5 + 3012\/5 = 0?\nAnswer: -3012, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -20 - (-1 + -24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01639653949 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.15, -3, 0 in increasing order.\nAnswer: -3, 0, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 8. Let o(j) = j**3 - 2*j**2 + j + 1. Let l be o(d). Suppose l*f - 21 = 3*n, -5*n + 21 = 3*f - n. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 2*y + 10*y + y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*z - 7723 = -1769, -3*z - 3 = 0. Let o = q - -10376\/7. Find the common denominator of 133\/90 and o.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 3*z**2 - 5*z + 7. Let h be v(-5). Let s = 23 + h. Suppose -s*f + 0*o = -o - 199, -2*f - o + 74 = 0. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(-a - 1 + 1) + 0*a + 0*a + a + 3 - 3 + 3*a + 5*a - a - 3*a - 2*a + 5*a + 2 - 4.\nAnswer: 9*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)*(-1 + (-33)\/(-6)). Let r(g) = 0*g - g + 3*g - 3*g - y. Let x(d) = d**3 - 3*d**2 - 7*d + 6. Let n be x(4). Give r(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -23, 4, 464 in decreasing order.\nAnswer: 464, 4, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52880 is divided by 193?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llwwqlljljqq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1 - 4\/3*s**3 + 2*s + s**2. Let i(t) = 7*t + 2. Let u(o) = o**2 + o. Let y(n) = -i(n) + 5*u(n). Calculate 3*l(j) + 2*y(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 916822, 916838, 916836, 916816, 916778, 916722?\n\"Answer: -9*m**2 + 43*m + 916788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 2*s - 48, 3*s = 5*h - 61. Let q be h\/(-3*(-2)\/6). Calculate the greatest common factor of q and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89030 rounded to the nearest 1000?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:40 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382204?\nAnswer: 2, 19, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 1 - 10*g**2 - 41*g**2 + 66*g**2 - 58*g**2 to the form c*g**3 + l*g**2 + v + b*g and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 15*q**2 + 168*q?\nAnswer: -12*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 86 = 125 - 91 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 29*k + 5. Determine a(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1090067.\nAnswer: -5, 3, 1090067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111120200202 (base 3) in base 12?\nAnswer: -b90525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - -9) + -16 + (8 - 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + n. Let s be y(1). Suppose 825079 + 520386 = s*h. Let g = h - -1170907. What is g rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*q + 51. Let y = q + 100. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 + 0*i**6 + 0*i**3 - 1\/20*i**5 + 0*i**4 + 0*i**7 + 0*i - 2*i**2 + 1\/112*i**8. Find the third derivative of x(a) wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4000.409 to the nearest ten.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 + 4802 - 6*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 112 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1233 + -13203322?\nAnswer: -13210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21*((-6)\/42)\/(2\/60). Let y = -93 - p. Let b be (-10000)\/y*417\/(-6)*120. Round b to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75799 - 53456. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3238)\/(-260) - (-5)\/((-585)\/18) and -31\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*s**2 + 191*s wrt s?\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + (-7 - 0) - -1. Let z(q) be the first derivative of 0*q - 10 - 1\/12*q**3 - 1\/16*q**m + 1\/4*q**2. Factor z(i).\nAnswer: -i*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovi when three letters picked without replacement from {o: 1, g: 3, l: 4, i: 1, v: 1, e: 4}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -41. Solve o - u*o = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38983769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**5\/5 + 75*y**4\/4 - 26*y**3 - 4272. Factor p(q).\nAnswer: 3*q**2*(q - 1)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.75 + -0.25. Which is the second biggest value? (a) -5 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**8\/a**(3\/4))**(-8))**(-11\/2))**(-42) assuming a is positive.\nAnswer: a**(-13398)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.47389 + 8.4742. Let y = u - 6. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59.41 from 8.4634.\nAnswer: 67.8734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b = 3*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + j + 9 = 0, j + 0*j = 5*r - 37. Suppose r*u - 2*u = -3650000. What is u rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-4 - -31)) + -69 + -6\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8653359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o - 6. Let b(u) = u**3 + 6*u**2. Let x be b(o). Let a = -0.4 + 0.3. Is x less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274799160 by 5.\nAnswer: 54959832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 22*w - 147. Let n(t) = t**2 - t. Let r(d) = -k(d) + 6*n(d). Let q be r(21). Which is the closest to 7\/3? (a) 0.2 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -4.92. Let j = -2109 + 10546\/5. Sort 4, j, y in increasing order.\nAnswer: j, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 811 + 817 = 0. Factor -36*x - 105*x**3 + 17093*x**2 - 6 - 57*x - 16889*x**y.\nAnswer: -3*(x - 1)**2*(35*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -3*(sqrt(88) + sqrt(88)*2 - sqrt(88)))\/sqrt(8).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*y + 6*y + 166 - 167)*(13 + 2*y - 13) to the form t*y**2 + a*y + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(468) + 3 + 2)*-3)**2.\nAnswer: 972*sqrt(13) + 4941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + m = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/17336 and -97\/72?\nAnswer: 156024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*d - 12 - 3, 4*o - 25 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5. Suppose s = 2*u - 42. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((0 - -7) + -880)*1\/(-3)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39845 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -128*b - 2. Let l(v) = -6*v. Give q(l(x)).\nAnswer: 768*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + -1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -241117? (a) -3 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 10. Let b(j) = -7*j + j - 6*j**2 - j**3 - 4*j**3. Let m(z) = 4*z**3 + 5*z**2 + 5*z. Calculate w*m(c) - 5*b(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-9241.82.\nAnswer: -924.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1) + 1 + -6. Let m(z) = z**2 + 1. Let n be m(w). Let o = -12 + n. Calculate the lowest common multiple of 1 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 6 - (1 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032031232212 - 11?\nAnswer: -1032031232223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2499 - 1522. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 - 7. Let j(l) = -10*l**3 + 10. Let k(p) = -7*a(p) - 5*j(p). Determine k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 213. Which is the second smallest value? (a) 5 (b) 0.09 (c) -4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4285101.\nAnswer: 3, 829, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16646 - 21.05246. Let k = 405 + -384. Let b = z + k. Round b to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*q - 10 = -3*w - 605*q, -3*q = 4*w - 30 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -12. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 11 + 3 + -2. Let d = 17 - q. Suppose 2*z - 31 = 3*x, -3*x = 2*z - d + 1. What is the least common multiple of z and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and (-92)\/(-22) - 4\/22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1590, 12735, 42998, 101937, 199110, 344075?\nAnswer: 546390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 15042110?\nAnswer: -15042101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 48*v - 19 + 31*v - 28*v - 66*v to the form b*v + q and give b.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38295*r**3 - 4*r - 564389.\nAnswer: 114885*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3*(-56)\/(-96)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-712)\/7*((-432)\/32 + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {b: 6, y: 7, o: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101 + 1?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45244640593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.8 from -12284759639.\nAnswer: -12284759632.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57\/17 - -1243\/391. Let u = -16 + 17. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 10 = -4*h. Let q be (8\/6)\/(h\/(-3)). Solve -o - 5 = -5*u, 6 + q = 4*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 32 - 32)*(-2 + 0 + 4)*(-16*t - 2 + 33*t - 103*t) to the form q*t + o*t**2 + h and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9.44.\nAnswer: 3.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-1\/12)*a*a)\/((a**5*a)\/a))**34)**(-12\/5))**(3\/23) assuming a is positive.\nAnswer: a**(510\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 53*t + 6. Let x(i) = -4*i**2 - 53*i + 5. Give 5*m(d) - 6*x(d).\nAnswer: -d**2 + 53*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119\/(4 - 3402\/854)?\nAnswer: 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 66 = 4*f + 3426, -3*f = 2*h - 1756. What is the highest common factor of 375 and h?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - c + 5 = 0, -4*n + 0*c + 28 = -4*c. Suppose 0 = -n*a - 3 + 27. Let l = 9 + -1. What is the greatest common divisor of l and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/(-3))*1\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363\/15 - 8\/(-60).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54*6\/(-72)*(-360)\/27.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1595 and 18125.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let m be (3 + 10\/d)\/(4\/18). Suppose m*j - 3*j = 54. What is the remainder when 32 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (408\/(-6528))\/((25\/(-5))\/((-60)\/(-5)))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(2\/105)\/(t**(-2)*t)**(-11) assuming t is positive.\nAnswer: t**(-1157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1*2)*-3. Let r be (-1)\/((g\/2)\/3). What is the units digit of 9\/r*(-8)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7934180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:17 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305566*i + 48*i**3 - 305566*i + 1 - 1.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k + 15 = 0, k = 3*d - 15. Suppose d*n - 639 + 67 = 0. Is (-6 - -4)\/((-2)\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**8\/1680 - 2*r**7\/105 - 13*r**6\/100 + 11*r**5\/15 - 121*r**4\/120 - 2*r**2 + 3*r. Factor p(v).\nAnswer: -v*(v - 1)**2*(v + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/27 - ((-684)\/27 - -11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*u + 2*f + 14, -u + 6 = -f. Let x(t) = -t**2 + 3*t**3 + 1 - t + 2 - u - t**3. Calculate x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623918 (base 10) to base 3\nAnswer: 1011200212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/229907 or -1?\nAnswer: 27\/229907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -43798 + 5?\nAnswer: -43793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/12 + 1467*v**2. Let f(i) = -1915*i**2. Calculate j(f(u)).\nAnswer: -3830*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-210)*4)\/(5\/(-30))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 10. Let z be h(6). Suppose -21 = 4*l - 25. Let k be (l\/(-2))\/((-7)\/(-14))*-5. Sort 3, 1, z, k in descending order.\nAnswer: k, 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364789 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v**3 - 31*v**2 + 4*v + 1. Is f(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)*v)\/v*v*v*v)**45\/(v**(1\/9)*v**(-4\/11)\/v) assuming v is positive.\nAnswer: v**(40591\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 = 142*c + 71*c + 4353 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 2*i + 2. Let f(b) = 111*b**2 - 33*b - 33. Calculate 33*a(l) + 2*f(l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - 7\/(-9). Let d be -287 + 2\/4 + (-36)\/8. Let o = d - -2039\/7. What is the second smallest value in o, 1\/3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-145)\/87)\/((-2)\/144). Calculate the highest common factor of c and 1320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14230570?\nAnswer: 2, 5, 37, 38461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 7) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1361 = 2*a, 3*a = -3*r - 0*r + 813. List the prime factors of r.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1167067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303.95743 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/28*-16*((-2)\/(-12))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 595 = -5*c, -446 = -3*z - 0*z - 4*c. Let w be (-5 + z\/12)\/(3\/(-8)). Is (w\/(-8) - 2)*(761 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 371157168.9999934 - 371157104. Let f = q + -65. Round f to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:58 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.04, -1, 0.044, -1\/4, 4 in descending order.\nAnswer: 14, 4, 0.044, 0.04, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -14616.2 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**3 - 8*v**3 - 9 - 1 wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 346, -1.31, 0, 3, -3?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5 + 74*j**4 - 430*j**3 + 286*j**2 + 432*j - 360 = 0. Calculate j.\nAnswer: -1, 1, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.64 - 9.61786. What is y rounded to 4 decimal places?\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2939\/3 - -20564\/21. Which is the biggest value? (a) 4 (b) 9\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by 8.\nAnswer: 217\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*f + 0*f = -26, 0 = k - 2*f - 11. Let l be 0*(2 - 3\/2). Suppose q + 7 = 4*i - 28, -2*i - k*q + 45 = l. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -27686*b**2 + 981*b - 981. Let q(f) = 113*f**2 - 4*f + 4. Let g = -178 + 182. Let l(o) = g*i(o) + 981*q(o). Let z(v) = -2*v. What is z(l(y))?\nAnswer: -218*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 1 + (11 + -113 - -85)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25*q - 20*q - 1864858 = 0, 4*b - 7459410 = 2*q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((0 + 2 - 3) + -14 + -17).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -210, -263, -352, -477, -638, -835, -1068?\n\"Answer: -18*d**2 + d - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 0*i - i)*(-3 + 2 + 3)*(i + 5*i - 3*i) to the form b + c*i**2 + s*i and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150416 - -150470.0148. Let x = 159 + -105. Let q = x - k. Round q to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688254681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1011001?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.54. Let z = -2530 - -2525. What is the biggest value in z, 2\/15, j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*x + 6, -2*n - 3*n + 5*x = -30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w - w - 3 - 2*w + 3 + (0*w + 4*w - 2*w)*(-7 + 2 + 3) + w - 3*w + w)*(0 - 4 + 2)*(3*w + w - 3*w) in the form b*w**2 + o + p*w and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264367533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a. Suppose 0 = -5*u - 41 + 116. Suppose m = -a*m + u. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 85, -4, -2, -0.4 in ascending order.\nAnswer: -5, -4, -2, -0.4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5199 + 5199 + 8359*m**2 in the form g + z*m + r*m**2 and give r.\nAnswer: 8359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*s - 1975, 484 + 311 = 2*g - s. Let t(j) = -8850 + 8850 + g*j**2. Let l(o) = 2*o**2. What is l(t(v))?\nAnswer: 320000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 2\/63, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:56 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 29*d**2 + 121*d + 1836. What is o(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41154413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/111 + 12\/37. Let u = 8.5 + -8. What is the closest to -1\/4 in u, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68313 + 442*i - 438*i - 68313.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 5*b**2\/4 + 2*b + 1.\nAnswer: (b + 1)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.465 to the nearest integer.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-7))\/((-3828)\/231). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10256372.\nAnswer: 2, 7, 17, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 9 + 1. Suppose k = -d*k - 27. Let m = -9 - k. Put m, -3, -2 in descending order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/6222?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/184)\/((-6)\/108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950 divided by -150?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*g + 10 = -0*g, 2 = -2*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - (3*-32 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -37*o**2 + 142*o + 51. Let h(t) = -56*t**2 + 214*t + 71. Determine 5*h(z) - 7*r(z).\nAnswer: -21*z**2 + 76*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1. Let t(q) = -2*q + 9. Determine -6*k(f) - t(f).\nAnswer: 2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 460 + -131. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 5*b - 10. Let t(g) = 1. Let o(y) = 6*t(y) + v(y). Is o(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/19 and 27\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 + 485. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.03 + 0.03. Let k = 125\/258 - -2\/129. What is the third biggest value in k, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 7. Let x be a(3). Put -4, x, -3, 5 in descending order.\nAnswer: 5, x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 341?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, -1993 in descending order.\nAnswer: 0.01, -5, -1993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 109, 252, 461, 742?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1370, -1362, -1364, -1376, -1398, -1430, -1472?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.12 + 0.12. Let j = 14.843 + -11.843. What is the fourth biggest value in b, j, 6, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from qvqqqqqqvqq?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762884557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1988 by -497.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 0. Suppose d = -w + 13. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let d be f\/1 - (-2 + 0). Suppose 42 = -0*i + d*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 7663948*a**2\/7.\nAnswer: 2*a**2*(a + 3831974)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 - 5*c**4\/3 + 10*c**3\/3 - 3*c**2\/2 - 2*c - 17. Let q be b(-21). Is q >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**6\/30 - 3*q**5\/40 + q**4\/8 + q**3\/6 - 2*q. Factor w(c).\nAnswer: -c*(c - 1)*(c + 2)*(2*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59.79721 litres?\nAnswer: 59797.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Suppose 3*f = -3*r + 21, 3*f + p*f + r = 23. Suppose 6*q + 2 = f*q. Is q bigger than 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-23)\/2 + 2)*-2 is divided by 189\/35 - (-2)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*w + 5 = -5, -2*w - 4 = 0. Suppose j + 17 = n*s, -2*j - 14 = -0*j - s. Let r(v) = -45*v - 12. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {b: 2, c: 6, a: 3, v: 1, y: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 4136\/32 - (-5)\/20. Suppose -2*p = -5*r + 3 + 87, 2*r = -5*p + 7. Calculate the common denominator of (-5)\/(((-8)\/10)\/(r\/i)) and 111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(4*sqrt(7)) - ((sqrt(7) - sqrt(28)\/sqrt(4)) + sqrt(7))*4)**2.\nAnswer: 1575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3 + 6*l**2 + 2*l.\nAnswer: -2*l*(l - 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19381*c + 27556*c + 48659*c.\nAnswer: 56834*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 10, 38, 98, 202, 362?\n\"Answer: 2*s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*l - 397 = 0, 1 = -2*l - 7. Let o = r - -128. Solve h = -o - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 5 + (2 - 2). Solve q - c = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -3, -2281 in decreasing order.\nAnswer: 5, 0, -3, -5, -2281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1, -3, 2, 0.2.\nAnswer: -3, 0.08, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose 0 = 3*q + 3*w - 63, q - 3*w - 21 = -5*w. Suppose 0 = 5*m + y*p + 3 - q, 0 = -4*m + 2*p + 18. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/23 + -135\/322. Calculate the common denominator of f and 71\/158.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20634?\nAnswer: 2, 3, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 44*z**2 + 1106*z + 6535. Calculate r(-6).\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55787288, 55787287, 55787286?\nAnswer: 55787285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -139*i*k**3 + 2*k**3 - 118 wrt i?\nAnswer: -139*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - 4*b + 2. Suppose -q - 3 = -7. Let x = -2 + q. What is the units digit of l(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 2*h + 1. Let w be l(-1). Let t be -50*(1 - w\/2). Let q be 4\/18 + t\/9. Solve x - q*x = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360.76 rounded to the nearest ten?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3544 = -50*f + 46*f - 4*a, -1 = -a. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -53. Let k = -19 - -36. Suppose q*v = k*v. Which is smaller: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o**3 - 2*o**2. Let t be u(2). Let x be -20*((-16)\/5)\/8. What is the highest common divisor of x and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.026 (b) 2\/15841 (c) -3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.48 + -0.52. Let w = 39.6 + v. Let u = w - 2.5. Which is the third biggest value? (a) 27 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 - 0.484. Let b = 0.326 - h. Let m = b - 0.37. Round m to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 186 + 186. Let m(s) = -8*s**2. Determine m(n(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3389870 is divided by 272.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311703 divided by 77159?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 6*a + 5*a. Let s(l) = l. Calculate r(s(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from kkpbkdpkkbkmfmb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/2490 and -109\/18?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1167 and 2?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y**(7\/3)*y))\/y*y*y**(-1\/4))**(-9) assuming y is positive.\nAnswer: y**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.005 and 4897952.\nAnswer: 4897952.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378\/10 - 0 - 57\/(-285) and -2 - (-1 + 0) - -19?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11021094 - -170\nAnswer: -11020924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w. Let g(u) = 29*u. Let o(c) = 3*g(c) + 8*p(c). Let z(s) = 3*s**2 + 15 + 9 - 10 - 14. Determine z(o(b)).\nAnswer: 147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14\/1581, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51470 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 6*p - 10*v + 15*v - 103, -8*v = -2*v - 18 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjgjgjjjrrjjyrj. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 4 - 6 = 21*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*o - 21, 44*o = 46*o + 2*g + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/132 + 103\/11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(390\/3640)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.62 + 3.52. Let t = -38 + 63. Let y = t - 76\/3. Which is the smallest value? (a) j (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*x + 391*x + 96*x + 385*x.\nAnswer: 698*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 669 (c) -19 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 548 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4256 = 9125*w - 8901*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 255 = -383166*q + 383163*q, -4*l + 16 = 5*q - 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 - 7*f - 1. Let z be b(2). Suppose z*l + 2*u = 10, -2*l + 4 = -0*l - 2*u. Solve l*r + 2*r + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 2*j. Suppose 2*i + f = 318, j*i - 4*i - f = -634. Suppose 0 = 4*z, g + g - 2*z = i. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 416?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -224, -334?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2333232 and -47\/189?\nAnswer: 16332624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3625 and 100970750?\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18) - -57725988*23\/(-1242). What is k rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*r - 3995 = -133*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-38)\/(-475)*5*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -5.5.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 6. Let f(j) = j**3 + 6*j**2 - 4. Let g be f(-6). Let a be b(g). Let q = 12 + a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1678.9952 + 1670. Let m = 15 - 6. Let v = s + m. Round v to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-55)\/(-33) - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1.5, 0, -2001?\nAnswer: -2001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -d?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t + 48. Let s be i(2). Suppose -4 = -s*f + 6, 0 = l + f - 772. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50792 is divided by 40893.\nAnswer: 9899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppi when four letters picked without replacement from {a: 1, j: 2, p: 5, i: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75580381.\nAnswer: 37, 83, 24611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2737460*r**6*z - 15*r**5*z - 1588*r**2*z - 3*r*z - r + z + 6 wrt r.\nAnswer: -328495200*r**3*z - 900*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 36. Let l = t + 0. Let o = l + -12.12. Round o to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 133. What is the fourth smallest value in -3\/4, y, -7, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 + 3 + 0 - -5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f - 7*f + 4*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -49, -1307, -0.756?\nAnswer: -1307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 242\/9 in -12, 0.05, 11.3?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -335 - -354. Calculate the smallest common multiple of 20 and p.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 774, 797, 840, 909, 1010?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 3*b**2 - 5*b - 3. Let z be s(-3). Let o = z - -126. Suppose j + o*r = 146, j + j - 5*r = 325. List the prime factors of j.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/6 + z**3\/3 + 2*z**2 - 2*z. Suppose 4*i - 43 = -19. What is the remainder when o(-3) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 9:23 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 4*z = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19 - -0.01. Let x = n + -0.200003. What is x rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n + 108*n + 129 = -9*r, r + 49 = n - 3*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 - 2*x + 1. Let o be q(-2). Let t = -1\/1106 - -17155\/13272. What is the common denominator of t and (-22)\/(-36) + o\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72419 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + l + 30 = 6*l, 5*z = 3*l + 44. Let g(q) = -9*q - z + q**2 - 2*q**2 + 17. Does 8 divide g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - n = -2*n + 7, -4*c - 5*n - 46 = 0. Let d be -7 + 11 - 12\/6. Let m(z) = 0*z**d + 2*z**2 - 17 + z**2 - 2*z**2 + 9*z + 21. What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 315.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 14*v - 96 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4022 - 1?\nAnswer: -4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from gogxggoxw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/36 - 10\/60.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(4\/5)*k)\/(k\/k**2))\/(k*k**(-4\/7)*k**(2\/7)*k))**(2\/5) assuming k is positive.\nAnswer: k**(146\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 56344*b - 408 - 130 - 4*b**2 - 56342*b + 3*b**2 as c*b + i*b**2 + q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 61*w = -1296 - 64 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9566 by -2.\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 9*t**2 + 6*t + 5. Let y be ((-68)\/1)\/(5\/10). Let g be (y\/17)\/((-2 - -4)\/(-2)). What is x(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 421 + -418. What are the prime factors of 626 + i*14\/(-21)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.74 + 0.06. Let g = r - -0.4. Let x = 2.8 - g. Which is the nearest to -1? (a) x (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0688 + 3.1012. Let y = 0.43 + q. Let p = y + -3.6. What is the smallest value in 0.01, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -24*u**2 + 5*u + 6. Calculate p(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420049.8 minutes to milliseconds.\nAnswer: 25202988000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002091269278 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 19*y. Let p be o(-4). Solve 4*t - 5*t = -2*g + 8, 3*g + p*t = 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400274185 divided by -205?\nAnswer: 1952557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2501 (base 9) to base 12\nAnswer: -10b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12779730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**1\/w)\/w)\/w)\/((w**(-2\/11)\/w)\/w))\/((w**13\/w)\/(w\/(w\/w**(-2)))))**(-48) assuming w is positive.\nAnswer: w**(7296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyfk when four letters picked without replacement from koyfyoofffoiffoyymf?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + 5*((sqrt(78) + -2*sqrt(78))\/sqrt(6) + sqrt(13)))*-6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17238 is divided by 2461.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -73 + (-20979)\/(-1110)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4436 and 41187151?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -828*p + 838 + 2474. Suppose 8\/13*m**3 + 24\/13 + 2\/13*m**2 - 32\/13*m - 2\/13*m**p = 0. What is m?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22474 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 50 = 52. Let s = y + -80. Let t = -19 - s. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 6. Suppose -x + 2 + 14 = 0. Let s = x - 10. Calculate d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 2}. What is prob of sequence lul?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*(sqrt(605) + sqrt(605) + 0 - sqrt(605) - sqrt(605) - sqrt(605)) + 2)*2 + 2).\nAnswer: 6 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 24. Let w(p) = 5 - 3 - 1 + 15*p + 8. Let f(b) = 8*b + 5. Determine k*w(t) + 11*f(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - q - q - q - q + 4*q + (4*q - 3*q + q)*(0 + 1 - 3) + (-3*q + 1 - 1)*(25 - 14 - 344) to the form u*q + g and give u.\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(0 - 20\/350)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 4*r - 3650. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2790)\/8)\/(9\/(-24)). Suppose -x = -5*o + 2*r, 3*o - o - r - 372 = 0. Suppose 367 = s - o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-5)\/(-20))\/(-6)*14.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20 = -2*r + 10, -3*p = 3*r - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5300 is divided by 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a decade in months?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5002 and 20024318.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*-2 - 89. Let d = m + 122. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*o + 1, -3*g = 3*o - 4 - 2. Let t(c) = 17*c**3 + 2*c**2 - c. What are the prime factors of t(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/104370 and 133\/1704.\nAnswer: 417480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -206. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/60 + j**4\/24 + j**3\/6 - j**2 + 62*j - 4. Let n(r) = 2*r**2 - 3*r - 2. Determine 5*k(y) + 2*n(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 697626?\nAnswer: 4883382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246874725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 62. Let q(k) = -k**3 + k**2 + k - 5. Let b be q(0). Let l = 18 + b. Calculate the remainder when l is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**4 - 4000*u**3 + 354380*u**2 - 7219680*u - 56946240 = 0. What is u?\nAnswer: -6, 52, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2. Let k(n) be the third derivative of n**5\/30 + 8*n**2. Determine k(l(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33120, -33114, -33108, -33102, -33096, -33090?\n\"Answer: 6*t - 33126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p. Let w be 2\/(-8) - (-8)\/32. Let i(m) = -m + 2. Let c be i(w). Let r(l) = -16*l**c - 19*l**2 + 33*l**2. What is r(q(x))?\nAnswer: -722*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(-1 + 1 - 2)*(-2 + 2 + 2*o**2 + (2*o - 2*o + 2*o)*(-2*o + 0*o + 0*o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18836 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*y - 1523*y - 6677 - 7387 = -388*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1175*3698\nAnswer: -4345150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 354*t + 3930 - 5534 - 473 - 10667 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r\/r**(2\/7))\/r)\/r))**18*(r\/r**(-3\/4)*r)\/(r\/(((((r\/r**(-1\/7))\/r)\/r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(1653\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 - x. Let t be j(1). Let d = 9 + t. Let v(y) = -d*y + 3*y - 3*y. Let m(l) = l. Give m(v(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-8))\/((-2)\/(-8)). Let a(t) = -2*t**2 - 2*t. Let z be a(-2). Let n = 1 - z. Sort -4, q, n in descending order.\nAnswer: n, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 2*t\/3 + 16\/3 = 0.\nAnswer: -2, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) - 18\/(-81). Suppose 5*u - 4*r - 23 = -5*r, -2*u + 5*r + 20 = n. Which is the second smallest value? (a) u (b) -7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**2 - 1968*m + 318840. Let s(d) = 10*d**2 - 1970*d + 318842. Let p(n) = 6*s(n) - 7*w(n). Suppose p(x) = 0. Calculate x.\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 15. Let h(o) = -o**3 + 26*o**2 + 27*o + 5. Let q be h(27). Let k be g(q). Solve k + 0 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3534560 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67 + 147*r**3 - 157*r**3 + 19*r - 68 wrt r?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 4*y + 2, -26*y = t - 30*y - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41664 divided by -32\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -82. Let y = 113 + u. Let o = -181\/3 + y. Which is the third biggest value? (a) -0.5 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = d - 5*d - 3*q, -5*q - 39 = -4*d. Suppose -2990 = -4*z - d*z. Let o = -90 + z. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85839 and 2529228?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0 - 9*h**2 - 5\/6*h**3 + 5\/8*h**4 - 1\/4*h**5 + 1\/24*h**6 + 0*h. Factor r(d).\nAnswer: 5*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 3061*l + 593729. Determine v(-183).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 1969070709822?\nAnswer: 1969070709819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 21 = r, 4*r + 50*x - 47*x = -9 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/11))\/i**(1\/9)*(i**(-2\/5))**(6\/7) assuming i is positive.\nAnswer: i**(1262\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*l + 424, -t - t = -4*l - 212. Is 106 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y + 1361. Calculate f(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209023 + 1560?\nAnswer: -1207463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtn when three letters picked without replacement from {t: 5, i: 4, y: 1, a: 1, x: 1, n: 7}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let f(k) = -373768*k**2. What is v(f(p))?\nAnswer: 279405035648*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 3092449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d - 13 = 25*d + 4*h, 0 = -4*d + h - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, -1.5, -0.4, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -17157.786.\nAnswer: -8578.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -6.3. Let b = 1\/17 + -27\/170. Sort 0.08, v, b.\nAnswer: v, b, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-684)\/(-90)*6890\/1007.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:38 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/7, -3, -2\/51, -0.013?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1180*q + 1385*q + 6813*q to the form b*q + j and give b.\nAnswer: 9378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1554225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 691 divide 2115842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - (sqrt(810) + 1*sqrt(810) - sqrt(810))).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9)\/((x*x\/x**(-10))\/x)*(x\/(x**(-4\/5)*x))\/(x\/x**11) assuming x is positive.\nAnswer: x**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406719533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 2*m + q + 6, 0 = -5*m + 3*q + 11. Solve 5*r + 9 = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (67 - -1) + (-4)\/(-28)*0. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-18)*(-33)\/2. Let o = k + 47. Let w(j) = 5*j + 194. Let u be w(-38). Calculate the greatest common divisor of u and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i - 28. Let q be b(-7). Let o(g) = -g**2 + g + 17. What is o(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*w = -2 + 10, -5*w - 20 = 0. Suppose d = -5*n + 5 + 20, -g = -2*n - 20. List the prime factors of ((-6)\/(-9))\/(4\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14*l = -26843 + 26825. Solve 3*z - 7 = t - 3*t, -z + t - l = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, y: 1, i: 1, v: 6, n: 5, h: 3}. What is prob of picking 2 h and 1 y?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 312\/(-2652) - (-149)\/1122 and 19\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.494223 + -0.44609. Let f = 0.048 - w. What is f rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87262.81 milligrams?\nAnswer: 87.26281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = -x. Let p = -0.2 + 0. Let h = -1\/10 + -3\/20. Which is the second smallest value? (a) x (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24530 and 2860.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c + 140*c + c**2 + 642 + 10*c**2 - 72*c - 642.\nAnswer: 11*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 21397070 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(1331) + -1 + sqrt(1331)) + (-1 + sqrt(1331))*-2 - (3*sqrt(1331)*4 - (2 + (sqrt(1331) + -2 - sqrt(1331)))))**2*-4.\nAnswer: -2576916 + 9680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -29. Suppose -4*w + g = -129. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k**1*k**(-3\/4)\/k*(k\/(k\/(k\/(k*(k*(k*k\/(k*k**5))\/k)\/k))*k))\/k*(k\/(k**(-6)\/k))\/k**(1\/3)*k*k**5*k**(2\/3) assuming k is positive.\nAnswer: k**(235\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 4, l: 3, x: 5, d: 5}. What is prob of sequence fxp?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1835, 3530, 5085, 6500, 7775?\nAnswer: 8910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(2\/13)\/(v**1\/(v*v*v**(-2)*v))*(v*v**4*v**(-6))**(-1\/37) assuming v is positive.\nAnswer: v**(-61\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 - 124. Suppose -4*l + 680 = 5*t, 7*t - 391 = j*t + l. What is the remainder when t is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 3. Let x(i) = i**2 - 2*i + 2. Calculate 3*t(b) + 4*x(b).\nAnswer: 4*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:45 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/242 and 87\/13156.\nAnswer: 144716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1770 in 0.3, 4.6, 2, 3, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -0.4, 10, -2\/9, 60\/17?\nAnswer: 60\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v**2 - 2*v - 1. Suppose -2928 = 5*x + 7*x. Let b = -245 - x. What is q(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 474, 469, 462, 453, 442?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 36. Let w be 22\/1*(6 + 0)\/12. Let g be q(w). Calculate the greatest common factor of g and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16692 = 24*q - 16692 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*x**4 + 78*x**4 - 25*x + x**3 + 55*x**4 to h*x**3 + t*x + j*x**4 + a*x**2 + o and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95455?\nAnswer: 5, 17, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 277451.5ml?\nAnswer: 277.4515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 77*z + 963. Let q be i(11). Put -26, q, 3, -8, 4 in decreasing order.\nAnswer: 4, 3, q, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2*u - 4, -5*r - 10 = 5*u + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3, -4*x - 4*u - 20 + 104 = 0. Suppose -3*j + 6 = -2*g - 6, 0 = -4*g + 5*j - x. Solve -2*z + g = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 2784619*l\/3 + 5569250.\nAnswer: -(l - 6)*(l + 2784625)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.667118 rounded to two decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 8. Let h = f - -11. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -732\/973787 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 69708498\nAnswer: -1\/23236166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 2*d**3\/3 + 2*d**2 + 135*d + 95. Differentiate t(c) wrt c.\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63788.15 litres in millilitres?\nAnswer: 63788150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 + 3*x - 1. Let w = -4606 - -4598. Calculate q(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47805?\nAnswer: 3, 5, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-43 - -85 - 69) + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1. Let j(n) = -2*n**2 - n - 4. What is j(c) + 5*k(c)?\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 358*m + 88784. Calculate s(-248).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 9*s**2 - 8*s + 6. Suppose 0 = 2*c - r + 11, 4*c + 4*r + 70 = 18. What is o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -0.4 (c) -18 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214704*f**3 - 100*f**2 - 394*f wrt f?\nAnswer: -1288224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) + 107 + -87. Sort -1, -9, k, -2, -4.\nAnswer: -9, -4, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 46*t**2 - t + 2. Let n be b(-2). Suppose 4*o = 13 - 5, 0 = -3*f - o + n. Suppose -3*k + f = 8. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/10)\/(-3)*3128\/(-476).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 - 74. Suppose -4*y = 2*k - w, 0*k - 61 = -2*y + k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 50.96. Let j = -0.04 + n. Sort -0.2, j, 0.4 in ascending order.\nAnswer: -0.2, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(85) - (2*sqrt(85)*-4 - sqrt(85)))\/(((sqrt(100) - (sqrt(100)*2 + sqrt(100)))*4)\/sqrt(5)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) - (-12)\/(-18). Let b(r) = 72*r - 14. Let p(l) = -24*l + 5. Let x(t) = -6*b(t) - 17*p(t). Is x(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 9667345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13115763, -26231527, -39347291, -52463055, -65578819?\nAnswer: -78694583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*j = 122*j + 40*j - 3112 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29965014 and 2214?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 14, -0.2, -5, -1350?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4435285 nanograms?\nAnswer: 0.0000000000004435285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 + 1 = k - 4*q, -92 = 23*q for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 3006*d - 977*d - 982*d + d**3 - 1016*d.\nAnswer: 2*d**3 + 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -132238 = -1592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -7. Let g(q) = -5 + q - 13*q + 5*q + 5*q. Give g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6490593*t**2 + 2*t - 7675875?\nAnswer: -12981186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g. Let s = 4 + -1. Let a(k) = -s + 3 + 6*k + 0. Calculate 5*a(o) + 3*y(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven fifths of a millimeter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -31*t**5\/20 - 5*t**3\/2 - 17*t. Find the second derivative of y(j) wrt j.\nAnswer: -186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14943 - -14945. Solve n*q + 371*k = 369*k - 2, -4*q - 19 = -k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5520*v + 5525*v - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from pxxxnxppxn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4 = 4*x, -317*c + 320*c = 2*x - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (112 + -2 + 3). Let n = -78 - q. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 12*i**2 + i + 24. Let u be g(-12). Suppose 0 = u*b + 45 - 369. Suppose j - b = 15. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:30 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186 (base 12) to base 10.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 - -3.41. Let s = 0.12 + 0.28. What is the closest to 2 in s, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 69. Suppose -44 - 76 = l*z. Let u(v) = -29584*v - 16. Let b be u(z). What is b rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 23*x**2 + 2. Let v be s(-23). Factor 4\/3*y + 2 + 2\/9*y**v.\nAnswer: 2*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmz. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -78, 18 in decreasing order.\nAnswer: 18, -4, -9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (245\/(-7))\/(2\/(-56)). Let i = 1432 - w. What are the prime factors of i?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 24. Let c be g\/6*(2 + 0). Let a(n) = -n**3 - 2*n - n**c + 4*n**2 + n**3. What is a(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 (base 10) in base 9?\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 - 6*k**2 + 3*k**2 + k**2. Let t(b) = b**2. Let n(j) = -4*h(j) - 33*t(j). Find z, given that n(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25394966.\nAnswer: 2, 2447, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1902.6 + -1242. What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 (base 16) in base 5?\nAnswer: 12131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.68 - 0.5. Let d = a - 0.08. Is d greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.07, -0.1, -0.3, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105.58 + -107. Let y = -1.58 + z. Which is the nearest to 5? (a) 5 (b) 2\/19 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3576 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (5*((sqrt(275)*1 - sqrt(275)) + -5)**2 - (2*sqrt(275) + 5 + -5*(sqrt(275) + -2)**2)).\nAnswer: -110*sqrt(11) + 1523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2 - 2*r - 3. Suppose 0 = -3*l - 9 - 0. Let g = -7 - l. List the prime factors of i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/(-414)*(507\/26)\/13.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/609 and -139\/402?\nAnswer: 81606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uom when three letters picked without replacement from omuuoxmuuuu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 5. Let k = a + -7. Solve k = 4*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 4*q**2 + 4*q**2)*(4*q + 2*q - 3*q) + (83*q**3 + 185*q**3 + 420*q**3 - 153*q**3)*(-4*q**2 + 6*q**2 - q**2).\nAnswer: 541*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y - 3*y**2 - 4 + y**3 - y + y + 2*y. Let k(q) = q**2 + 9*q + 3. Let m be k(-9). What is z(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 16*p**2 + 12*p - 65. Suppose 5*o + 12*o + 289 = 0. Let j be r(o). Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309118?\nAnswer: 2, 127, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 535143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1, -2, 2, -4 in increasing order.\nAnswer: -4, -2, -1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -112842 at least as big as -113074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000813 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 1. Let z(s) = -13*s - 3. Let a be 1*(-6 + (-5)\/5). Calculate a*u(o) + 2*z(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 732 and 105025164.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -2\/43 (b) 247 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -79. Solve 0*u - 3*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5629.505 kilometers in nanometers?\nAnswer: 5629505000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 81*b + 84*b = -13250, 3*b = -y + 3320. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(-3*((sqrt(1300) - (5 + sqrt(1300)*-2)) + -2*sqrt(1300)*5) + 0)**2*-4.\nAnswer: -13764596 - 151200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.1 + -0.9. What is the nearest to 2\/7 in a, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368 less than -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*o**3 + 26*o - 7 wrt o?\nAnswer: 552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 22*a - 1448. What is i(71)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11556036*t + 3*t**2 - 2*t**2 + 11556036*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/12949 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -2, 347, -5.\nAnswer: -5, -2, -1, 0, 5, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 2*n + 12*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(6*-2))\/((-2)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*c*f**3*w - 6*c*f**2*w**3 - 3*f**3 + 8*w**3 wrt c?\nAnswer: 25*f**3*w - 6*f**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300.6 - -190. Let r = 111 + g. Sort -0.5, -1\/8, r, -6 in increasing order.\nAnswer: -6, -0.5, -1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 62 = 11. Let q = n + -69. Let r = 13 - q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 61.\nAnswer: 3, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6011 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169853390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-24))\/(g*g**(-11\/5))*g**(-30)*g*g**1 assuming g is positive.\nAnswer: g**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 14 = 3*z - 4*s, 3*z - 13 = 2*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -3570025?\nAnswer: -3570025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = -0, -2*w + 3*v + 11 = 0. Suppose 0 = -5*t + 8 + 2. Suppose 0 = t*z - w*k + 1 + 25, -22 = 4*z - 2*k. Let a(j) = -3*j - 3. Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11166 and 339102.\nAnswer: 631068822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-47)*(q*q*q**5*q*q)\/(q**(-3)\/q) assuming q is positive.\nAnswer: q**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62018573.9 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o + 2. Let r(l) = 1 - 4*l + 3*l - 2 - l. Let k be r(1). Determine j(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -707, -2390, -5663, -11054, -19091, -30302, -45215?\n\"Answer: -88*u**3 - 3*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11570896 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: b\"What is the hth term of -1177, -1175, -1173, -1171?\n\"Answer: 2*h - 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, x: 1, y: 1, p: 3}. Give prob of picking 1 p and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17322 and 43305?\nAnswer: 86610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1641 + -1630. Solve 4*h - 16 = 2*b, b + 3*h - l = 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**27*t*t\/((t\/t**(-6\/5))\/t))\/((t\/(t\/((t\/t**(1\/11))\/t*t))*t)\/t*t)**(2\/7))**(-1) assuming t is positive.\nAnswer: t**(-1499\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/4 + 2517*c**2\/4 + 10105*c\/4 - 52941\/4 = 0. Calculate c.\nAnswer: -7, 3, 2521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21439.\nAnswer: 11, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 494, 595, 698, 803, 910, 1019, 1130?\n\"Answer: a**2 + 98*a + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. What is the derivative of 11*r + 10 + 14 - d + 3*r wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90a (base 11) in base 4?\nAnswer: -101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -325. Suppose 0 = -5*k - 2*z + d, 4*k - 82 = -z + 123. What is the remainder when k is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*y**3 - 848401*y**2 + 39942*y - 10.\nAnswer: -42*y - 1696802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001010101011010 - -10?\nAnswer: -1000001010101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/5))\/(p\/(p\/(p*(p*p**(-5))\/p*p)))*(p**(1\/2)\/p)**(16\/5))**35 assuming p is positive.\nAnswer: p**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 q when three letters picked without replacement from {f: 11, q: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-18)*-3 - 1\/(-2). Suppose 2*t - g - 158 = 0, 0 = -x*t + 5*g - 2*g + 237. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21245, -42492, -63739, -84986, -106233?\nAnswer: -127480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**(-1\/3))\/j)\/j)\/(j**(-8)*j*j))\/(j*j*j\/(j**(-2)\/j*j*j))**(2\/39))**(-1\/3) assuming j is positive.\nAnswer: j**(-200\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 6. Let q be r(-11). Let l(g) = 2*g**2 + 12*g + 25. Let z be l(q). Solve -3*p - z = -m, -m - p - 2*p - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*s**4 + 4*s**3 - 26*s**4 + s - 9 - 4*s**3 + 56*s**4 as x*s**3 + q*s**4 + v*s + b*s**2 + c and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -175514 (base 9) in base 3?\nAnswer: -12112120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteteteettetetteette. Give prob of sequence ee.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(11*j + 10*j - 4 + 3*j) as p*j + x and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 13 = -2*a + 3*c, -a + 52 = 5*c. Let p = -5 + a. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = 5*j - 5, -2*z + 5*j = 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 5*i**2 - 6*i - 8. Let v(u) be the first derivative of u**3\/3 - u**2\/2 - 6*u + 21. Let o be v(4). What is d(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418 and 5475382?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*f**2 + 3*f - 3\/2*f**3.\nAnswer: -3*f*(f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 235 - 236. Which is the nearest to -0.06? (a) 3 (b) 1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + p**3 + 0 - 1232*p**2 - 2*p**3 - 5 - 5 + 370*p**2.\nAnswer: -p**3 - 862*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2160 by -280.\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + x - 4*x - 20, -14*x = -9*x. Solve 69 = 16*t + f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49*(-9*(-8)\/(-24) - (-5 - 2\/(-2)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (11 - 7 - 7) - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -4766.\nAnswer: -66724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -32. Let p be r\/6*(-15)\/(-2). Let k = -20 + p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890488 divided by -111311.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/21 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10633867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-24 + 11)\/(-611)) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from qqqyqqsqqyqhq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - (-66)\/27) + (-207835)\/(-123435).\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17139 + -17134. Suppose -4 = l + 2*t, 0*t - 4*t + 4 = 5*l. Solve -1 = l*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 7 - 11*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3765 - -3760. Suppose -41 - 13 = 3*a. Let w be 6\/(-9)*a\/16. What is the nearest to 0.1 in g, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30421203 by -15341.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 18*y**2 + 2*y - 15. Let f be s(18). Suppose 2*w = -f + 31. What is the units digit of w*6*(-4)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) 5 (c) 1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 2*sqrt(180)) + 4 + ((sqrt(5) - (sqrt(5) + sqrt(80) + sqrt(5)))*-4 + -1)**2.\nAnswer: -51*sqrt(5) + 2005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -23*g - 1. Let u be p(-1). Let t = u - -28. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0.2 (c) 79\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 23*n**2 + 32*n + 15. Give z(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250254 (base 6) in base 14?\nAnswer: -30106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -2, 39, -4\/5, 2\/9.\nAnswer: -2, -4\/5, 0.18, 2\/9, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 59*v - 1060. Let h be u(18). Let l = -54 - -52. Which is the smallest value? (a) -10\/7 (b) h (c) l (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*d + 12*d - 24*d)*(-1 + 1 + 1) to q + u*d and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3833 - 1938. Let g = -1144 + u. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3 - 21*h**3 + 8*h**3 - 41*h - 10*h**3 wrt h.\nAnswer: -150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924268057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 2. Let t(a) = 4*a - 3. Let w(s) = -3*s**3 + 38*s**2 + 13*s + 4. Let q be w(13). Let l = -18 - -15. Determine l*t(o) + q*p(o).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a962 + 2?\nAnswer: -a960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*f + 28. Find the common denominator of -79\/44 and f\/14 - (-304)\/(-896).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 940\/880 + 4\/22.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 735*y**3 + 2*y**2 - 675*y - 74 wrt y?\nAnswer: 24*y**2 + 4410*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 times 762625\nAnswer: 259292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -20. Let c be 4\/(-2)*u\/4. Let d be c\/2 + 220\/136. Put 2\/7, d, -0.06 in decreasing order.\nAnswer: 2\/7, d, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 7, x: 1}. What is prob of picking 2 a?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1))\/(6\/22). Let z be (-18)\/(-5)*(6 - r). Is (34\/(-6))\/(2\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x + 6. Let l(z) = 17*z - 11. Let y(u) = -6*l(u) - 11*m(u). Suppose 2 = n - 1. Let c(p) = -4*p**2 + n*p**2 + 2*p**2. Calculate y(c(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 + 14.31. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760260 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 61. Suppose q*u - 8*u + 18 = 0. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(5016\/19)*9\/(-4)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 140 - 63 + 8*n - 5*n - 63 - 6*n as t*n + h and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 4*d**2 - 4*d + d**2 + 5*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 22*q - 19*q + 151, l - 151 = q. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*d = 3, 3*k - 4*d + 4 = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1702269 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i + 3*r, 5*r - 2 = -i - 12. Calculate the remainder when 26 is divided by ((-12)\/4 - i)*7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7796 and 638278010.\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z**3 - 2*z**2 + 17*z - 26. Let n be i(2). Find the first derivative of -237*d - 17 - n - 5 - 39 wrt d.\nAnswer: -237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -110, -183, -274, -389, -534, -715?\n\"Answer: -x**3 - 54*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*h**4 + 12*h**2*n + 76*h*n + 16*h wrt h.\nAnswer: 300*h**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 4*w - 5. Suppose -2 = 4*y + i + 13, 5 = 2*y + 3*i. Let g(s) = 2*s**2 + 3*s - 4. What is y*g(n) + 4*m(n)?\nAnswer: -2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8894054 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2250 in 0.2, -0.08, 5, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29417063 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.4908ug to grams.\nAnswer: 0.0002544908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5, 478, 2 in increasing order.\nAnswer: -5, -2, 1, 2, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549057 divided by -5.\nAnswer: 549057\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.068271 and 209?\nAnswer: -14.268639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29923\/18 - -3367\/2. Let j = s + -188\/9. Let y = -0.04 - 0.26. Which is the closest to 1? (a) 6 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:02 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5797876 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 169\/(-26) + 28\/4. Let a(j) = 2*j + 2. Let h be a(-9). What is the nearest to y in 2\/5, 0, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.79 and 1.4.\nAnswer: 4.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 - -31) + (10 - 40\/5). Solve -5*c = -10, 16*d = t*d - 5*c + 34 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -149, -332, -587, -914, -1313, -1784?\nAnswer: -2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 16 = 40*x - 20*x - 19*x, 115 - 45 = -20*x - 110 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26353 - 34?\nAnswer: 26317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -2\/11 (c) 0 (d) -1 (e) 9.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 + 16*g**3\/3 - 19*g**2\/2 - 31*g + 15. Let j be p(-17). What is s in -s**4 - 2*s**4 - s + 3*s**j - 2*s + 3*s**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*t**2 + 41*t**2 + 40*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/7 + 116*j**4\/7 - 1894*j**3\/7 + 8616*j**2\/7 - 12024*j\/7 + 5184\/7 = 0.\nAnswer: -72, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and 1.162?\nAnswer: -62.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*s - 19*c**2*s**2 + 2*c**2*s + 3*c*s**2 - 134*c wrt c.\nAnswer: 18*c*s - 38*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 461, 0 in ascending order.\nAnswer: 0, 5, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 222 - -13?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112404772 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - 3*m**2 + 3*m - 3. Let k(w) = 7*w**3 + 5*w**2 - 5*w + 6. Calculate 5*j(q) + 3*k(q).\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + m + 4 = 0, -a + 16 = -3*a - 4*m. Let u = -0.519 - -1.019. Let y be 2\/8 + (-23)\/(-4). What is the third biggest value in u, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 - 3. Determine q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y + 6. Suppose -3*m - 5*f - 19 = 0, -4*m - 1 - 1 = 2*f. Let k be q(m). Is (-1215)\/k + ((-30)\/(-4))\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374 at most 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2225706 and -1\/985.\nAnswer: 11128530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 25*b - 18. Is d(-18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i + 8. Let q(j) = -j**2 + 4*j + 2. Let v be q(i). Suppose 8 = v*z - 3*f, 2*z + 14 = -z - 2*f. Put z, -3, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:54 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -59*i - 1944. Let c be f(-33). Solve -3*g = -2*k + 3*k - 12, 2*g - 8 = c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 333\/32?\nAnswer: 333\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 - -3. Let d = r - 0. Let s = -8.8 - -13.8. Put -1, s, d in descending order.\nAnswer: s, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667493?\nAnswer: 29, 23017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 652 (b) 1\/7 (c) 308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = -25. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*z + 19 = 0, 15 + 1 = 5*v - 3*z. Suppose 3*u + 2*t + 12 = -t, -v*t = 0. Let x = -0.94 - -0.54. Sort -3, x, u.\nAnswer: u, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-44)\/(-16) + -3)*10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4*x - 4*x)*(0 - 1 - 2) - 3*x + x - x - 3*x + 2*x + 0*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -70, -3, -52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -6851.\nAnswer: -6855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6332477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100111*m + 63048 wrt m.\nAnswer: 100111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1971*i = -1970*i + 8, 0 = r + 5*i - 86. Calculate the remainder when (-7*1)\/(2\/(-28)) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 - 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217851, -217685, -217409, -217023?\nAnswer: -216527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + 0.01. Let r = 24.36 + g. Let u = r - 24.00013. Round u to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 41*n**2 + 4*n. Let r(l) = -724*l + 1. Give r(z(d)).\nAnswer: -29684*d**2 - 2896*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7203289 rounded to two decimal places?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4894, 5113, 5660, 6685, 8338, 10769?\nAnswer: 14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 30951\/571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t - 4*u - 3, 21 = 5*t - 2*u. Suppose -7*y + 10*y - 6 = 0. Let n = t - y. Calculate the greatest common divisor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4108.6 and -220.\nAnswer: -4328.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 - 38 = 0. Let p(r) = -r**3 - 4*r**2 + 4*r - 3. Let n be p(c). Let k = 12 - n. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Let g = l - -20. Let j be 8\/52 + g\/26. Let z(u) = 2*u**2 - 1. What is z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4 + -1 + -1*sqrt(1216) + sqrt(1216) + sqrt(1216))*-4 - (sqrt(1216) + 2 + -3 - (sqrt(1216)*-4 + -5 + sqrt(1216))))**2.\nAnswer: -2048*sqrt(19) + 78078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190970528?\nAnswer: 2, 7, 233, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27450875 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.5. Let i = -77 + 69.36. Let u = i + 11.64. Which is the closest to -0.3? (a) w (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/374*0 - (2 - 115765) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-3 - ((-30)\/5 - 6). Calculate the highest common factor of a and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 39 = -11*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from yyycccyycygyy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-1\/10)*p)*p)**37 assuming p is positive.\nAnswer: p**(777\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 * 0.38.\nAnswer: -0.1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -1\/2*m**3 + 0 - m + 0*m**2. Let o(k) = -k. What is o(u(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 - 52 = -228*d + 48. Determine z so that 18\/5*z - 4*z**2 + 18\/5 + 2\/5*z**4 - 4*z**d + 2\/5*z**5 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 366785955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 - 26496*q**2 + 105936*q - 105920 = 0. What is q?\nAnswer: 2, 6620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-36))\/(((-483)\/21)\/(-207)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431618 (base 10) in base 5?\nAnswer: 1110302433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = 0, 2*l - 11 - 27 = 4*m. Solve 5*w - 61 + l = -4*s, 0 = -2*w - 5*s + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453034 is divided by 484341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-28) + 0 + 1247990\/(-8). What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 174.28419s?\nAnswer: 0.002017178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 348, -3 in decreasing order.\nAnswer: 348, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -577 + 619. What is the remainder when 124 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*w + 131964 = -667*w for w.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 4*z - 4. Let q(f) = f**2 + f + 1. Let j(x) = 4*q(x) + r(x). Let i(w) = 9*w**2. What is j(i(s))?\nAnswer: 81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24)*(560\/6)\/(-10).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 24. Let h be p(8). Calculate the common denominator of 565\/50 + h + -4 and -25\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1399575 and 2050?\nAnswer: 114765150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*t - 0*t + 30, -3*q - 5*t - 27 = 0. Let i be (-6)\/q*(-14)\/4. Which is the second biggest value? (a) 3\/8 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 18*o + 33. Let t be y(9). Suppose 3*s = 5*j + 21, -5*s + 2*j + 15 + 1 = 0. Let b = s + t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74064, 153287, 232512, 311739, 390968?\n\"Answer: b**2 + 79220*b - 5157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 424, 431, 2\/11, 14.18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -7\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3489846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 10 + 3*h**2 + 9\/40*h**5 + 1\/20*h**6 - h - 3\/4*h**3 - 5\/8*h**4. Factor v(y).\nAnswer: 3*(y - 1)**2*(y + 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/2*5\/20*250\/(50\/2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12220222120200 (base 3) to base 7\nAnswer: -35523453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2659335\nAnswer: -7978005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 3*g + 3. Let t be v(4). Let m = 8 + -11. Let s be -3 - ((15 - 22) + (0 - -1)). Put m, s, t in decreasing order.\nAnswer: s, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b**2 + 97*b - 97*b)*(0*b**3 + 6*b**3 + 0*b**3)*(-1 - 2 + 0).\nAnswer: 396*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -7, 12, 39, 74, 117?\n\"Answer: 4*q**2 - q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -969.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/24 - f**2. Let l(z) = -2*z - 7. Let w(p) = -p - 3. Suppose -7 = -2*k - 1. Let m(c) = k*l(c) - 7*w(c). Give j(m(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12595, -12594, -12593, -12592, -12591, -12590?\n\"Answer: p - 12596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (882\/(-140) - 3) - ((-45)\/25)\/(-9).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose 0 = -3*z + 5*n - 2, -4*z + 3*n = m*n - 5. What is the tens digit of 2844\/84 - z\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 9. Let m = -64 + 69. Let j(u) = 2*u + 5. Suppose 0*l + l = 4*n - 29, 0 = l + 5. Suppose 0 = 2*w - 0*w + n. Give m*j(c) + w*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -27, -3 in decreasing order.\nAnswer: 5, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2, 61*g - 65*g = 4*k - 40 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 67*k**2 + 73*k**2 - 17*k**2 + 2*k + 6*k + 42 - 30. Is n(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289051 and 908446?\nAnswer: 6359122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = 6*n, 296*j - 3*n = 293*j - 9. Solve 0 = -4*i - 3*l - 10, -4*i + 1 = i - j*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/10)\/m*m)\/(m*m\/(((m\/(m\/m**(2\/41)*m*m))\/m)\/m)))**8\/((((m*m**(-1\/5))\/m)\/m**(1\/6))\/(m**0\/m)**(23\/5)) assuming m is positive.\nAnswer: m**(-62783\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:43 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -11)\/(78\/2)*3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) 15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -599*d - 365*d + 4870 + 13446 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.8 - -20.31. Let n = -2.4900139 - f. Round n to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 63*x - 43. Let v be z(32). Let w = -1\/1043 - 52147\/3129. What is the common denominator of 36\/v*360\/(-27) and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let p = -60 + 59.46. Let s = p - -0.44. Sort s, -2\/5, 0.3, w in decreasing order.\nAnswer: w, 0.3, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269*r*v**3 - 5*r - v**2 wrt v?\nAnswer: -1614*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 38 (d) -10 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2 - 5*m - 23. Let q be 17\/5 + (-16)\/40. Let p(n) = 2*n**2 - 5*n + 3. Let z be p(q). Is t(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8176 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38815868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 14589*n + 36 + 14589*n.\nAnswer: -2*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 791 = 3*x + 4, -5*x = 4*d + 805. Let n be (-47)\/d - (-10)\/25. Let v = 4\/13 - n. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 3*f**2 + 3*f**2 - 3*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 - 4*h + 3. Let n be s(2). Let f = -2671\/4 - -13359\/20. Which is the nearest to n? (a) -0.5 (b) 2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18973 is divided by 114.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 220.6. Which is the second smallest value? (a) -5 (b) p (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.8. Suppose 0 = -5*c - 13 + 3. Put d, -3, c, -5 in descending order.\nAnswer: d, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 2*a - 6. Let g(z) = -2*z + 31. Let h be g(13). Let i(w) = 2*w - w**2 - w - 7 + 2*w. Give h*y(f) - 4*i(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 260 + -13?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. What is the second derivative of 0*d**3 - 3*d**3 + 4*d**3 - r*d wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(206\/(-412))*(-10)\/(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l + 1736 = 68*l - 74 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 - -449. Let w = 267 - -201. Suppose w + 176 = 14*a. What is the highest common factor of a and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5160111 is divided by 2580048.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 5*t + 8. Let u be c(6). Let d = u + 37. Solve -d*h - 3 = -0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -2370, 5 in increasing order.\nAnswer: -2370, -147, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:51 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21 - 2958\/(-1785)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*3*(-3)\/18 + -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185661861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*p - 2. Let j be ((-2)\/(-4))\/(p\/(-192)*4). Suppose -14*d + j*d = -16. What is the least common multiple of 14 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -24 + 0 + (2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5767736 is divided by 660.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.04, -5.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128\/47, 5, -8\/389?\nAnswer: -8\/389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -49. Let j = -24 + 7. Let c = j - -31. What is the remainder when z is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 34 + (10 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 + 1809*r\/7 - 1812\/7.\nAnswer: 3*(r - 1)*(r + 604)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 299616*u - 3595384. Calculate g(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.2 and 6701.\nAnswer: 6704.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41467033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - 15\/(-5). Let j = -3 - -5. Factor -h**3 - 5*h + 3*h**j - 2*h + q*h.\nAnswer: -h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966624.\nAnswer: 2, 3, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57471*q - 57610*q - 443 - 808 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 4*j**2 + 2*j - 5. Let d be o(4). Let y be (0\/(-3))\/(25 - 27). Suppose y = -w + 12 + d. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**2. Let u be (3 + -9)*(-225)\/10. Suppose -h + u = 113. Let d(x) = -2*x**2. Give h*d(v) - 6*m(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffh when four letters picked without replacement from {h: 7, f: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 2*h - 9 = 5*z, -2*z - 4*h + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*j + t - 57, 5*j - t + 88 = 0. Let u = -11 - j. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14106\/35 - 403. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 1?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2856 is divided by 568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*s**3*w**3 + 5*s**3 - 2*s**2*w**3*x**2 + 3*s*w*x**2 + 2*w wrt w?\nAnswer: -414*s**3*w - 12*s**2*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2082*d**2 - 2878*d - 3 wrt d.\nAnswer: 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, 2, 3\/2, -2\/11, -2\/13, -0.942?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*j = 966, -2*x = 17*j - 16*j - 381. Calculate the highest common factor of x and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (28 + (-31 - -25)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 32*o + 18. Calculate p(-13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) 2 (c) 18809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Let l(n) = -2*n**3 - 4*n**2 - 3*n - 2. Let m be l(-2). Suppose w*u = -m*u + 28. Calculate the remainder when 27 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 8*n + 702 - 2*n - 2752.\nAnswer: 4*n - 2050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a014 - -611a?\nAnswer: -3bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + 1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i - 8. Suppose i*d + d = d. Solve 2 = -2*t - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5 - 1. Suppose -r*l + 39 = 6*m - m, -3*l = 9. Let p(b) = -b + 3. Let x be p(0). What is the highest common divisor of x and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-972)\/198 + (-504)\/462\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5 = -4*a - 9*c, -5*a - c = 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.880471 to 0 dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and ((-70)\/20)\/((-5)\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.7? (a) 0.1 (b) 2 (c) 116 (d) -0.5 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -8. Let j = 23 + -20. Let p be -1 - (-3 + j + 0). Sort 3, p, q in decreasing order.\nAnswer: 3, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 - 18*l - 17 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnzzznnnnn. What is prob of picking 1 z and 1 n?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + (3 - 14)) - -37?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 55 = -5*i + 17*a, -3*i = 3*a - 60. Solve 0 = 456*k - 453*k + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 4*g**3\/3 + 156*g**2 + 42*g. Calculate the remainder when (30\/7)\/(1\/7) is divided by l(-37).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4410 or -44?\nAnswer: -4410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 573 = 45. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.461 - -1.44. Which is the second smallest value? (a) -2\/9 (b) z (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let x(a) be the third derivative of a**5\/60 - a**4\/8 + a**3\/3 - a**2. Let c be x(s). Solve -12 = -c*i + 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 - 18804*v**3 + 449973*v**2 - 2529156*v + 2097984 = 0.\nAnswer: 1, 7, 16, 6244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 7*m + 0*m + 7*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 13, r: 5}. What is prob of picking 2 l and 1 r?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide -4 + (-8)\/2 + -5 + 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*z**3 + 10*z**2 - 483*z**3 - 1332*z**3.\nAnswer: -2840*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.2. Let o = i - -0.1. Is o smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6822699 is divided by 1590.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 - 2020*v - 1020100 = 0. What is v?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2498243*b + 93502318 wrt b?\nAnswer: 2498243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51644 + -51648. Let j = -0.3 + -0.7. Which is the third biggest value? (a) x (b) j (c) 10 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26207 divided by 4.\nAnswer: 26207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f - 3*f)*(5 - 1 - 1)*((3 + 0 - 1)*(-1 + 1 + 2)*(0 - 1 - 4) - 2 + 7 - 3) + 175*f + 204*f - 221*f as w*f + s and give w.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(2 + -4 + -2 + sqrt(847)*-3*2 + -1)**2.\nAnswer: 2640*sqrt(7) + 122066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5290a55 (base 11) to base 7.\nAnswer: 142105306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*r + 13 - 103 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -997, -1895, -2803, -3727, -4673, -5647, -6655, -7703?\n\"Answer: -n**3 + n**2 - 894*n - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 7) to base 10\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 1632 - 7018. List the prime factors of p.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 plus 6.01006?\nAnswer: -18.98994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 88.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15615, -31286, -46959, -62634?\nAnswer: -78311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let l(k) be the third derivative of k**7\/1680 + k**5\/60 + 5*k**2. Let x(n) be the third derivative of l(n). What is x(w(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 57.17, 0.2, -385 in ascending order.\nAnswer: -385, 0.2, 57.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 34 = 22. Let w be (-25)\/(-25) + r\/10. Is w at most as big as -1.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 130 = 112. Differentiate -18*v**2 - 40 - 15*v**h + 15 - 19 with respect to v.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n. Let v(h) = -11704*h. Calculate t(v(s)).\nAnswer: 35112*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - ((3 - 0) + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -103*g + 44*g - 1 - 129*g. Is c(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/3 + 8*b\/3 + 8 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 251625003*m. Let l(x) = -x. Calculate a(l(i)).\nAnswer: -251625003*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 175 = 3*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nppp when four letters picked without replacement from {p: 5, n: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374891*r**2 + 68471*r**2 + 73839*r**2.\nAnswer: 517201*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5838688 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 6. Let u = 1 + s. Suppose 5*y = -3*j + 40, 5*y - 2*j - 30 = -3*j. Sort u, y, -1.\nAnswer: u, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 40 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/((-2)\/10). Suppose 3*t = -b*y + 330, 2*t - 141 - 86 = y. Calculate the smallest common multiple of 14 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 4, o: 3, b: 1, r: 2}. Give prob of picking 1 b and 2 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w = -2070. Let x be 42 + 143\/((-8580)\/2160). What is the greatest common factor of w and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134\/3 - -45. Let u be ((-5)\/(-10))\/(1\/(-14)). Let t = u - -12. What is the third smallest value in g, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**10\/30240 + r**9\/7560 - r**8\/20160 - r**7\/2520 + r**5\/30 - 4*r**2. Let p(w) be the third derivative of k(w). Factor p(t).\nAnswer: -t*(t - 1)**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 12, o: 7}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2153, 8372, 18655, 32996, 51389, 73828, 100307, 130820?\nAnswer: 165361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2841.4 + 3164. Let q = -323 + p. Which is the closest to 3? (a) -1\/4 (b) -5\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.136 - -0.126. Let o = v - 0.49. What is the third biggest value in o, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2) + (-3)\/(-6). Let r = j - -4. Solve -l + r = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let j be (-4)\/(-24) + p\/(-12). Suppose 0 = 5*f - 4*s - 249, j = -f - 0*f + s + 49. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836, -3914, -8928, -15884, -24788, -35646, -48464?\nAnswer: -63248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2428, -12, -4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/2 - 2504205*z**3\/4 + 626049*z**2\/2 + 1252101*z\/4 = 0. What is z?\nAnswer: -1\/2, 0, 1, 417367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let a(r) = -18*r**2 - 12*r. Suppose -6*m = 4*u - 4*m + 46, -8 = u + 4*m. Let l(b) = b**2 + b. Let t(i) = u*l(i) - a(i). Give f(t(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 206?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + a + 4. Suppose 8*h - 13*h + 20 = 0. Suppose -5*j = -10, -2*k = k + 4*j + h. What are the prime factors of x(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-7 + -2 + 12)) + -1 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5583942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 5*n + 25, -a - 5*n = 11. Suppose 3 = -2*i + a. Factor f**i + 85*f**2 - 78*f**2 + f**3 - 5*f**3 - 4.\nAnswer: -(f - 2)*(f - 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -43. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/54 + 50\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1353689 or -1353685?\nAnswer: -1353685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.4. Let t = -198 + 196. What is the second biggest value in 2\/11, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 21*s = -1320. What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 + 143*a\/3 + 287\/6.\nAnswer: -(a - 287)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/4, 35, -131\/2 in decreasing order.\nAnswer: 35, 1\/4, -0.2, -131\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-12))\/(1\/48318) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -64*y + 59*y. Which is the closest to 0? (a) -2\/7 (b) -3\/2 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 4 + 5\/6*r**6 + 0*r**4 + 0*r**5 + 0*r**3 - 1\/2*r**2 + 0*r. What is the second derivative of l(s) wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56589018721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45992 + 1839723\/40. Calculate the common denominator of l and -103\/396.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -14 + 24 + -46?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2407 - -24073\/10. What is the fourth biggest value in 10\/7, a, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*622.05.\nAnswer: 2488.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 8. What is the remainder when 1 + 1*-3 - -116 is divided by (3 + 26)\/(q - 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121581830 to the power of 1\/3, to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 5*r - 7. Let w(s) = 7*s + 28. Let f be w(-4). What is p(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 66, -3, 68, -4, 5 in descending order.\nAnswer: 68, 66, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*t - 4, -3*d = -0*d - 2*t + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46387 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 14 + 14)*(-3 + 2 - 6) - x + 3*x + x.\nAnswer: 80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61974, 247936, 557888, 991830, 1549762, 2231684?\n\"Answer: 61995*f**2 - 23*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*j + 17748 + 31233 + 1251 = 0 for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*14*12\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*i. Suppose 924*d - 12 = 912*d. Sort -4, i, d in increasing order.\nAnswer: -4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.79 + 2.9. Let f = -0.11 + p. What is the closest to 0 in -1, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:19 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwnxe. Give prob of sequence eewx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 181294 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: What is the next term in -38478, -38418, -38358, -38298?\nAnswer: -38238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 629557823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.91. Let f = 0.0902 - d. What is f rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 13*w**2 - 2*w - 10. Let y = 39 - 52. Let z be f(y). What is the units digit of z\/(-48) - 178\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3200676 by 4894.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5\/3*v**4 + 10\/3*v**3 - 10\/3*v**2 - 1\/3 + 1\/3*v**5 + 5\/3*v = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 26*n - 17589. Let r = 538 - n. Which is the third smallest value? (a) 3 (b) 21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -143. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8020 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-48)\/(-108)*9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -11, 2, -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45275 - 27072. Suppose -22*x + o = -12641. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 20*q - 11*q - 1)*(-2*q**2 + q**2 - q**2) as o*q**3 + b + v*q + s*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -231?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/159*(-45)\/(-175).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 + 18*q**2 - 2*q**2 - 10*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0, -29\/2, 0.5, 2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b5 + 3?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.194 - -102.194. Let z = c - -135. Let g = z - 237.00000097. What is g rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - ((-1125)\/(-4945)*22 + 0). Is k at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/10 + -2)*18\/27\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161 + 58 + 51 + 53 - 37*f to the form t*f + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 83*b**2 + 7162. Let p(q) = -6*q. Determine d(p(j)).\nAnswer: 2988*j**2 + 7162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = 1838*s - 1885*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35323, 35325, 35331, 35341?\nAnswer: 35355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/(-195))\/(5\/(-25))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, and 1 g when three letters picked without replacement from nssnsnggngs.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-12)*2*-12. Suppose -3*g - 5*i + 108 = -153, -j*g - i = -348. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1031*u**2 + 46*u - 98. What is the remainder when m(2) is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 - 21*b - 37. Let l(m) = 2*m**2 + 10*m + 19. Calculate -4*d(f) - 9*l(f).\nAnswer: 2*f**2 - 6*f - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.5 - -26. Let v = -1 - t. Sort v, -0.4, 3.\nAnswer: v, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 3 (c) 14 (d) 3\/2 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 254? (a) 0 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 1, d: 2, w: 1, o: 1, h: 2}. What is prob of sequence iwo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 16*b - 11*b. Let r(p) = 9*p. Suppose 44*c + 212 = -360. Give c*r(n) - 6*i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1 + (2 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30824965 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + -1 + (4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d9f7 + -4?\nAnswer: 1d9f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.99 in 848, 0.3, -0.21, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3300 by -3300.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/(-148))\/(6\/4*13\/78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -402?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 2. Let z = 8 - 4. Let b(l) = 3 + z - 4 + 4*l. Suppose 12 = -3*y - 0*y. Determine y*b(u) - 5*a(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -37 + 84 - 47 + 8*m. Let r(n) = 2*n**2. Give r(f(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0831 + -416203\nAnswer: -416202.9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.965 - -24.965. Which is smaller: 7447 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5.1. Sort 9\/4, l, 0.2.\nAnswer: l, 0.2, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 6. Let a be (-2)\/z - (0 - -1). Is 14 a factor of (-32)\/(-3)*(a - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 169640*v**2 + 1397839265*v + 701222330370.\nAnswer: 5*(v - 17201)**2*(v + 474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.157km to meters.\nAnswer: 6157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(4 + 66\/(-24)). Solve -3*a - 10 - 1 = -2*d, 0 = u*d + 2*a + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 20 - 13\/(-5))\/(26\/(-650))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 - 56*z**3 + 1104*z**2 - 3744*z = 0. What is z?\nAnswer: -26, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*h - 153 with respect to h.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) -0.1464 (c) 11 (d) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:56 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34764.57kg to tonnes.\nAnswer: 34.76457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 272.\nAnswer: -23\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h + 1176. List the prime factors of y(0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-20) + 3\/(-15). Suppose 5*p - 33 - 7 = 0. Solve p + 7 = -4*h + 3*f, y = 5*h + 4*f + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3146, -12587, -28320, -50345, -78662, -113271?\nAnswer: -154172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 1, w: 2, a: 4}. What is prob of sequence kk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 8*x + 3. Let p(j) = 5*j**3 + 3 + 5*j + 12*j - 2*j**3 - 10. Give -3*p(a) - 7*r(a).\nAnswer: -2*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9 = 4*k, -5*x - 4 + 41 = 3*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -19) + (-2 - -1). Suppose 16*s + 80 = p*s. Let t = s - -35. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 4. Let y be c(-7). Suppose -2*w + 3 = -s, 9 = 3*s - 2*s + 2*w. Solve n - 11 = y*u, -5*n + u = 18 - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -431394 plus -3?\nAnswer: -431397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**3 + 97*v**2 - 748*v + 242. Give h(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 15*x**2 - 6*x + 19. Let b be q(14). Solve b - 141 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 1, 8 in decreasing order.\nAnswer: 9, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = 24. Let t be 1 + -1 - 8\/i. Let r = -0.8 + -0.2. Which is the third smallest value? (a) -0.1 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 165 = 537. Suppose 2*j + 42 + 20 = 0. Let v = j + a. What is the remainder when v is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 12*n - 5. Let b be x(-11). Let l(g) = -5*g - 1. Let r(h) = 4*h + 1. Let a(y) = 5*l(y) + 6*r(y). Let w(f) = 7*f - 6. Give b*a(j) + w(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*d + 2*z = 268*d + 3079, z = 2*d - 2041. Which is smaller: d or 1024?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 18 = -18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*z*z**(1\/8)*z*z**(-4)*z*z**10 assuming z is positive.\nAnswer: z**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 + 47552*f**2\/3 + 282649088*f\/3.\nAnswer: 2*f*(f + 11888)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -6*2)\/1. Suppose v = 3*w + 5*s - 2*s, -49 = -5*w + 3*s. What are the prime factors of (-142)\/(-6) + w\/(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*v - 3*j + 43, -25 = -5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 77?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:19 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 5.6. Let c = v - 0.4. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/11)*k*k*k)\/(k*(k*k**17\/k*k)\/k))**(13\/2) assuming k is positive.\nAnswer: k**(-988\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21112)\/(-19604))\/(14\/6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -2, -1\/8, -110\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 0.1 (c) -2\/307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629832247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aammaamaaagammsma. What is prob of picking 2 m, 1 s, and 1 a?\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-11 - 89256\/32). Round r to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - (7 - 8) - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*n*p**3 + 9*n*p + n - 13*p**5 - 245*p**2 - 243*p - 2 wrt p.\nAnswer: -30*n*p - 260*p**3 - 490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 2*p = 0, -3*p + 14 = d. Sort d, 3, 6 in decreasing order.\nAnswer: 6, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41798983?\nAnswer: 41798983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 72 = 5*q - 77, 4*q - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 11. Let x be i(-5). Suppose -50 = -x*z + 126. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229948010.\nAnswer: 2, 5, 79, 2822719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 2\/3, -865.8, -0.12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55468 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75\/4 of a micrometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23561, 47110, 70675, 94262, 117877, 141526?\nAnswer: 165215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2335 + 1224. Let b be (6 + (-2 - -2))*4. Let n = b - f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 13 + 6 - 162*m + 2321*m.\nAnswer: 2159*m + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 7\/26 (c) 1\/9 (d) 53 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 0, -g - 5 = -5*a - 0. Suppose -2*v - a*v - 16 = 0, -3*y = -3*v - 339. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 2162, 3514, 4866?\nAnswer: 6218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 61 = -w, 0 = -r - r - 3*w + 21. Suppose 0 = 2*y - r. Suppose -10*c = -y*c. Solve -9 = -3*i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/60 - 5*a**4\/2 - 150*a**3 - 91*a**2 - 2*a + 90. Let b(f) be the first derivative of k(f). Find c, given that b(c) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times 21?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -66, -198, -400, -678, -1038?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 18*n - 1. Let c be y(-20). Calculate the highest common divisor of c and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*u - 24, 22 = -u - 5*m - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 - 7*k + 5. Let s be f(7). Suppose -s*z - 17043504 - 39456496 = 0. Round z to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*p + 4*f - 14, 2*p = 2*f + 14. Let l(t) = t**2 + 6*t - 16. Let d be l(p). Suppose -4*w = -d - 57. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 15. Let b be u(3). Suppose b*w + 125 = 5*w. Calculate the remainder when 101 - (1 - 2 - -3) is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 7. Let f be (1\/l)\/((-6)\/(-72)). Let w(x) = x + 7. What is w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26066*c*n + 18351*n wrt c.\nAnswer: 26066*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269609 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2027.052 + -2023. Let x = s - 0.052. Which is the nearest to 0.07? (a) 0.2 (b) x (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*r = 0, -4*r + 2 = 3*x + 31. Let p be 6\/(-4)*(1 - (-7)\/x). Solve -1 = p*f + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85177591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2871721*d**4 - 2252958*d**2 wrt d?\nAnswer: -68921304*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1319*-0.03\nAnswer: 39.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/10 + 11*q**4\/12 + 233*q**3\/3 + 2*q + 19. Find the second derivative of g(s) wrt s.\nAnswer: -12*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*w**2 - 20*w - 3*w**3 + 30*w - 11*w + w**3 - w + w + w**3 + w - w - 4*w**3 - w**3 + 4*w**3 + (-1 + 1 - w)*(w**2 + 2*w - 2*w) - 2*w**3 + 2 - 2.\nAnswer: -5*w**3 - 142*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, 2\/7, -0.04, -3 in ascending order.\nAnswer: -31, -3, -2, -0.04, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (6 - 31116\/(-10))\/((-2)\/(-11 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f - 6 = 0. Let k(z) = 3 + 2 + 1 + 2*z. Let g(a) = -1. Let s(v) = f*k(v) - 12*g(v). Let m(j) = 2*j**2. What is s(m(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 1, q: 2}. What is prob of picking 1 q and 1 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1255, -1274, -1297, -1318, -1331, -1330?\n\"Answer: v**3 - 8*v**2 - 2*v - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a - 608 = -253*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r + 10. Let c(a) = -5*a - 3. Let j be (-1)\/2*(-87 + -3)\/(-3) + -5. Calculate j*c(t) - 6*k(t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 55*y - 368. Let n be o(8). Solve 0 = 12*z + 12*z + n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 3*k - 7. Let n be r(-12). Let c = -15 - n. Calculate the highest common divisor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 1532*q**2 - 9439*q**2 - 4485*q**2 + 2833*q**2.\nAnswer: -12623*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*d**4 - 19 + 9 + (2*d**3 + 2*d**3 - 5*d**3)*(d + 2*d - 5*d).\nAnswer: 4*d**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 95. Let l(k) = 13*k**2. Calculate the remainder when l(-2) is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 12*g**2 + 9*g - 13. Is b(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1796*m*o**2 - 11*m*o - 15*m - 67*o wrt o?\nAnswer: -3592*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 + -2) + -1. Let f = l - 10. Let s = -6 - f. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 186. Is 2\/(-6)*b\/26*-8218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -1096*c + 1093*c - 37 + 7, -4*c = 16 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874988200 rounded to the nearest one million?\nAnswer: 8875000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 253037, 253044, 253065, 253106, 253173?\n\"Answer: w**3 + w**2 - 3*w + 253038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1413 (b) 0.4 (c) -235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = y - 3*y + 8, 5*g = 3*y - 2. Suppose -959 = -y*m + 22. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/24 - k**3\/2 + 7*k**2. Give m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*k = -175*k. Let p(g) = 21*g + 3. Let t be p(k). Solve 16\/7*f**2 - 4\/7*f**5 - 4\/7*f + 16\/7*f**4 - 24\/7*f**t + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u - u. Let x(l) = 2*l**2 - 8*l + 1. Let b(m) be the third derivative of -m**5\/15 + 17*m**4\/24 - m**3\/3 + 13*m**2 + 2. Calculate u*b(v) - 13*x(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/17 + 13707968*q\/17 - 23488548336128\/17 = 0.\nAnswer: 3426992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*i = 160*i - 75 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -4*(-3 + 42\/24). Suppose 2*u + 8 = 3*r, m = 10*u - 15*u + 10. Which is the closest to 1\/5? (a) -6 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-19\/2))**(-1\/18)*(s\/(s*s*s\/(s\/(s\/s**(-3)*s)*s))*s**3*s)**(-1\/10) assuming s is positive.\nAnswer: s**(131\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 2. Let s be a(1). Let o = s + 6. Let u = o - 16. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 61*r - 5474. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:03 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q - 20*q = -33 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.81 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-190791 + 1)*(-3 + 20\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2193*r - 2244*r - 17888 = -4609*r for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 11*r + 1056 = 0. Suppose -2*w = 3*v - 4*v + r, 3*v - 4*w = 532. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/10)\/(3\/4). What is the second biggest value in 5, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 2, a: 1, d: 1, c: 13}. What is prob of sequence ffd?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let s(v) = -97*v. Calculate s(g(m)).\nAnswer: 97*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/2 - 63*v**4\/2 - 51*v**3\/2 + 183*v**2\/2 + 27*v - 60 = 0. Calculate v.\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 296627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 7*j + 9. Let m be v(2). Suppose 0 = m*d - 61056 - 2973. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 11*u + 12. Let g be j(-12). Suppose -4*d + 18 = -3*d + 4*s, -2*d + 4*s - 12 = g. Solve 0 = -d*c - 3 + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1196 + -665. List the prime factors of z.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3073004 and 7613.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 7, -257, -2\/13 in ascending order.\nAnswer: -257, -2\/13, 0.38, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-3 - sqrt(152)*-2*-3)\/(sqrt(64)\/(1*sqrt(1152) + sqrt(1152))).\nAnswer: -216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -24. Suppose -x**3 - i*x + 0*x**3 - x**2 - 7*x**2 + 2*x**2 - 8 = 0. Calculate x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 3*d - 8, -4*q + 1 + 14 = -5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 273\/(-27) - 1364\/(-132). Let z be 530\/2184 - (-2)\/(-8). Put -4\/7, f, z in increasing order.\nAnswer: -4\/7, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 6, 4, -23 in ascending order.\nAnswer: -23, -0.5, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15)\/(8\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 0.03.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844984554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:35 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -3, -55 in decreasing order.\nAnswer: 5, 3, 2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 192 and 191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -29\/5602578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/8 - 5*d**3\/6 - 4*d**2. Let b be j(-2). Is 31 a factor of ((-9)\/15)\/(b\/(-65))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 11, 1\/3, -5, -0.258?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 11*s**5\/60 + 3*s**4\/8 + 5*s**2\/2 + 12. Let j(b) be the second derivative of i(b). Find the second derivative of j(n) wrt n.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212973691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7035, 7033, 7019, 6981, 6907?\n\"Answer: -2*t**3 + 6*t**2 - 6*t + 7037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 0*d - 4*d)*(2*d**4 - 4*d**4 + 4*d**4) + d**4 - d**4 - 2*d**5 - 2*d**2 + 1 + (-d**4 - 65*d**4 - 57*d**4)*(5*d - d - 3*d).\nAnswer: -123*d**5 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/(1\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttx when four letters picked without replacement from {t: 5, r: 2, x: 8}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35717 - 34949 = 24*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -9*t**2 - 18 + 7*t**2 + t + 7*t**2 - t**3. Let v be f(5). Is v < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/((-1848)\/32) - 45\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 21*q**2 - 3*q)*(4*q**3 - 7*q**3 - 3*q**3).\nAnswer: 126*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - k = 4*k - 377, 0 = 4*m - 5*k - 739. Calculate the remainder when m is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 - 31*v**4 + 2*v**3 + 39*v**4 + (-2*v - 2 + 2)*(v**3 - 4*v**3 - 2*v**3).\nAnswer: 18*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122987 - 6*n - 9*n + 122987 + 10*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**5 + 17 - 4\/3*b**6 + 0*b + 0*b**4 + 0*b**2 + 5\/3*b**3. Find the third derivative of j(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 not equal to 109.99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 2*p**2 - 8*p - p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-146)\/(-4) + -4 + (-4)\/8. Solve 14 = -6*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:11 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**4 - 4*h**3 + 6*h + 71. Let i(w) = -2*w**4 - 5*w**3 + 5*w + 70. Let y(f) = 4*i(f) - 5*z(f). What is the first derivative of y(q) wrt q?\nAnswer: 8*q**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*1)\/((-2)\/2). Let m(w) = -w + 1. Let n(f) = -6*f + 1. Let y(o) = -4*m(o) + n(o). Let r be y(z). Sort 3, 0, r in descending order.\nAnswer: 3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 9*t**2 - 71*t - 2918. Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 94\/13933, -5, 0.4, -29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 + 1257*h**4 + 2*h**3*q + 23175*h*q wrt h?\nAnswer: 20*h**3 + 15084*h**2 + 12*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -328b8b - -5?\nAnswer: -328b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1084771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:50 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 25, 44, 67, 94, 125?\n\"Answer: 2*a**2 + 9*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 = -86*s - 369 - 2672 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*c = -32, -2310 = -3*o + 2*c - 2339 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:25 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*r + 4 = 0, -2*r + 6 = 4*h + 22. Let n(p) = 2*p - 4. Let q(x) = -2 - 3 + 2 + 2. Calculate h*q(g) + n(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/63*16 - -2. Which is the nearest to s? (a) 1\/3 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -3. Find the second derivative of 3*a**4 + 3*a + a**y - 6*a**4 - a**3 wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus 0.62037306?\nAnswer: 22.62037306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 24*w + 152. Let l(r) = r**2 - 10*r - 53. Let a be l(w). Let i = 2 + 1. Solve -9 = -a*o + i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14*s**2 - 62*s - 2. Let y(m) = 5*m**2 - 21*m - 1. Let k(b) = 6*h(b) - 17*y(b). Let n be k(-16). Let v = 4 - n. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56838450 rounded to the nearest one hundred thousand?\nAnswer: 56800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549.7 less than or equal to -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {y: 3, n: 9, k: 3, t: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1192\/(-18) + ((-2)\/(-13))\/(-33 + 6132\/182)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - (-112)\/63. Suppose -4*a + b + 47 = -66, -5*a - d*b + 125 = 0. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27598*b**3 + 27898*b**3 - 55621*b**3.\nAnswer: -125*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -733*n - 257 + 30*n**3 + 268 + 67*n**3. Let q(c) = -19*c**3 + 147*c - 2. Let f(t) = 11*q(t) + 2*x(t). Find the second derivative of f(o) wrt o.\nAnswer: -90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - (-11 - -4) - 5)*-211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12019*n**3 + 2*n - 5843*n**3 - 6175*n**3.\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:50 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*r - 0*r, 2*r + 4*g = -12. Let m(q) = q**3 - 3*q**2 - 10*q + 4. Let d be m(5). Suppose -3 + d = b. Sort b, r, -4 in increasing order.\nAnswer: -4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1174, 2396, 3622, 4852, 6086?\nAnswer: 7324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16375.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:46 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -67961296 and -6735751.\nAnswer: -74697047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -365, -734, -1103, -1472, -1841, -2210?\n\"Answer: -369*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154256 - 73744 = -2*o. What is o rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 + 5*o**2 + 4*o - 4. Suppose -16 = 122*s - 118*s. Let w(m) = -8*m**3 + 9*m**2 + 7*m - 7. What is s*w(l) + 7*r(l)?\nAnswer: 4*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivho when four letters picked without replacement from {t: 3, o: 1, v: 2, i: 3, h: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202010012100001 - 12?\nAnswer: 10202010012022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 + 94*o**2 + 52*o + 1352. Calculate k(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10150541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0 + 0)*(10*m**2 - 8*m**2 + 12 - 8*m - 4*m**2) in the form y + w*m**2 + z*m**3 + g*m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-five quarters of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 488196, 488204, 488226, 488268, 488336?\n\"Answer: b**3 + b**2 - 2*b + 488196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3536\/131 or 0.1?\nAnswer: 3536\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726406651 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28266 and 906.\nAnswer: 4268166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85418?\nAnswer: 2, 42709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2193, -1\/3, 0.1, 0, -4.2 in descending order.\nAnswer: 2193, 0.1, 0, -1\/3, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 695 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - -8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/4 - 2)*8. Suppose 0 = 13*w + 7*w - 1200. What is the greatest common divisor of j and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148, 140, 134, 130?\n\"Answer: p**2 - 11*p + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 126.9\nAnswer: -761.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 3 (c) 8 (d) 1\/2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {w: 2, x: 6, n: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) - (-142308)\/3216.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-10))\/((-34)\/(-85)). Suppose -2*b - 16 = -n*t, -5*t + 19 - 4 = -b. Solve 4 - t = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t\/((t\/(t\/((t*t\/(t\/(t**5*t))*t)\/t)))\/t))))\/t**(-3\/8))\/((t*t**(-7))\/(t\/((t\/t**(-1))\/t))))**(-49) assuming t is positive.\nAnswer: t**(-539\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2340 and -119\/5400?\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 204090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 2*w - 2. Determine y(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 19) + -2 + 0 + 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 19. Let z be q(0). Solve -4*n = -4*c + 29 + 3, 2*c - 3*n = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2320 and 1450?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 + 3*z. Let l be m(3). Let t be (1 - -2) + l\/2. Solve -3*a + 0*a - c + 18 = 0, 34 = 5*a + t*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + k**4 - 3*k**4)*(-3 + 3 - 5*k + (k - 2 + 2)*(-2 + 1 + 3) - k + 0 + 0).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.5304219 take away 730?\nAnswer: -750.5304219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 5 (b) 1\/15 (c) 2\/21 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/15))\/(r\/((r*(r*r**(14\/5)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3 + 264*f**2 - 2*f + 707253?\nAnswer: 6*f**2 + 528*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 262 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032243 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let i(m) = 6*m. Let n(z) = 4*i(z) - 22*x(z). Let d be n(4). Find the second derivative of -d*y**3 - 9*y**4 + 8*y + 8*y**3 wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2*f + 5, -v + 12 = -4*v - 3*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6051012*k**2 - 12917769*k wrt k.\nAnswer: -12102024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -789.676918 + -0.063082. Let c = x - -682. Let q = c - -108. Round q to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2*(-11)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 50540.38 to the nearest 100.\nAnswer: 50500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -192, -576, -1320, -2544?\nAnswer: -4368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39382209*z**5 + 2*z**3 - 2548*z**2 + 13422?\nAnswer: 2362932540*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -357, 5, -2, -104 in decreasing order.\nAnswer: 5, -2, -104, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/((-140)\/110*264\/(-96)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 4. Let l(c) = -3*c - 3. Let p(x) = -4*l(x) + 3*m(x). Let n(u) be the first derivative of 0*u + 0*u**2 - 1\/3*u**3 + 1. Determine p(n(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -5, 0.5, -3 in descending order.\nAnswer: 66, 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 12. Suppose 4*n - 2*a = -18, 4*n + 64 - 11 = -5*a. Let w be p(n). Sort -3, -4, w in increasing order.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n**2 - 402*n + 27. Give z(-19).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*p + 14, 4*i - 1 + 3 = -3*p. Suppose 0 = -a + i, -5*c + 9*a + 2227 = 6*a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251*j + 456*j + 283*j + 7 - 7 - 126*j.\nAnswer: 1864*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 20. Let v be -4*2 - (4 + -1). Let t be k(v). Let u = t - 4. Let f(c) = c**2 - 7*c + 6. Give f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -l + 3, -3*q = -q + l - 8. Solve -m = -4*f - q*m, -4*m = -2*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80194 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*x - 13908 + 1920. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 7. Let x be z(4). Let a = 37 + -32. Suppose 10 = -0*m + a*m. Solve 0 = -m*q - x*o + o, -4*o + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.93 - -0.07. Which is the second smallest value? (a) -0.5 (b) -3 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*m = 45, -5*i + 4*m + 17 = 62. Let l = 12 + i. Suppose -4*n = n - 5*t - 50, l*n - 28 = 4*t. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.041 - 114.041. Let s = k - -123.3. Let j = s + -11. What is j rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 - 10 - (-3077)\/6. Let l = p - 517. Let s = -1289\/10 - -129. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 26*h**2 - 41*h + 196. Let g be w(-24). Calculate the highest common factor of g and 3892.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (620\/2976)\/(5\/(-20))*4\/135?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/35, -0.4, 339\/83, -2\/11, 0, -1\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -875679 times -9\nAnswer: 7881111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 divided by 1117206?\nAnswer: 497\/1117206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = 45*u - 300909. List the prime factors of u.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 187)\/2 + 4. Let j = -109 + x. Let l(i) = i**2 + 12*i + 5. Calculate l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzznzzzzzzzzzznzzz. What is prob of picking 2 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 17*y**2 + 1 - 69*y**2.\nAnswer: -86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/10)\/((442\/(-255))\/(-13)))\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 328 - 324. Put 3, -5, d in ascending order.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 5 + (-247)\/47. Let g = -202\/423 - p. Let x be ((-4)\/7)\/((-24)\/12). Which is the second smallest value? (a) g (b) x (c) 6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17466 + -279341\/16. Let j = i + 533\/16. What is the common denominator of 127\/12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let a(d) = 6594*d. What is a(p(q))?\nAnswer: -6594*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 200300402?\nAnswer: 200300354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3735*j**2 - 5*j + 5. Let w be l(1). Let r = 8955 - w. What is r rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284540 and 10?\nAnswer: 284540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 - -126. Let f = a + 111. Solve f*o - 2*i - 23 = 0, 0 = -0*o + 2*o - 4*i - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 3\/5 (c) 44 (d) 11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1\/5 (b) -0.2 (c) 1\/186 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/1677)\/(((-4)\/(-6))\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994047806.\nAnswer: 2, 497023903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*i**2*j + i**2*q + i*j*q**2 - 9*i*j*q - 46*i*q**2 wrt j?\nAnswer: 27*i**2 + i*q**2 - 9*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m - 4. Let x(i) = 31 + 14 - 2*i - 46. Let y(f) = -l(f) + 4*x(f). Let h(d) = -10*d - 3. Calculate h(y(z)).\nAnswer: -20*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.0825ml in litres?\nAnswer: 0.2990825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 19\/4, 3, 2, -7403?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16545, -16539, -16533?\n\"Answer: 6*i - 16551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 103*i**3 - 749*i**3 + 0*i**2.\nAnswer: -852*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39139 by 1.\nAnswer: -39139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 + 1. Let n be i(1). Suppose -y + 5 - 2 = n. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -567 + 6239\/11. Sort -5, 4, f, -21 in descending order.\nAnswer: 4, f, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:08 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 130\/52*7\/((-35)\/(-10)). Let m(g) = 8*g**3 - 13*g**2 - 3*g - 6. Let f(i) = 7*i**3 - 12*i**2 - 2*i - 6. Let d(s) = 7*f(s) - 6*m(s). Calculate d(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/20 + 5*v**4\/6 + 3*v**2\/2 + 2209*v. Let c(b) = 5*b**3 + 41*b**2 + 13. Give 2*c(s) - 9*j(s).\nAnswer: s**3 - 8*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 424211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 36 = 9*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*u = -5, 4 = 137*x - 135*x - u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-1)))**(-7\/9)\/(q*q*q*q*q*q**(-4)*q\/(q*q**(5\/2))) assuming q is positive.\nAnswer: q**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n\/n**(-1\/2)))\/n))**(-9\/2)*n\/(n*n*n**(-5\/2)*n)*(n*n\/n**(-2\/5)*n)\/n assuming n is positive.\nAnswer: n**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = -3*q + 142, 4*q + 36 = 2*f. Let r = -27 + f. Let v be 1 - (3 + r + -3). Solve -6 = -0*x + 3*x, v*x + 4 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + 0.1. Let l = h - -2. Is l <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 22*p - 9. Calculate the remainder when v(-4) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -2204?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41865?\nAnswer: 3, 5, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + 6.3. Let h = -32.4 + 34. Let g = -1.3 + h. Which is the third smallest value? (a) g (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s + 33. Let z(w) = 3*w - 16. Let l(g) = -4*k(g) - 9*z(g). Let q be l(0). Solve q = 2*b + 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - l**2 - 5*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 4*w. Let 2*b**2 + 2*b - b - w - b = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9401 * 19.2.\nAnswer: -180499.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65730 divided by 21910?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = 2*j. Let b(m) be the first derivative of -m**4\/4 + 2*m**3 + m**2\/2 - 6*m - 9. Let h be b(j). Solve i + h*i = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/37 and 3\/11.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63501748 take away -126.2?\nAnswer: -63501621.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/29, -3, 13\/2, 1\/19?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(-1) + 1076\/12. Suppose 5*o - 91 = b. Does 36 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 3*g + 71 = -12*r, 3*g = 15. Let d = -165 + 445. Calculate the greatest common factor of d and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117060 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -182882, -365788, -548690, -731588?\n\"Answer: 2*c**2 - 182912*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -3*l - l. Let q be (14\/l)\/(2\/(-5)) + 2. Suppose -2*o = q*b - 50, 5*o - 79 = -5*b + 11. Calculate the remainder when 53 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - a**3 + 2*a**3 + (-2*a**2 + 2*a**2 + a**2)*(303*a - 134*a - 123*a) + 209*a + 9*a**3 - 209*a.\nAnswer: 57*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-150)\/(-38) - (-45)\/855. Solve -5*c = -3*x - d + 22, 0 = 2*c + 3*x + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6929\/498 - -62\/83. What is the common denominator of 7\/16 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 6*o**2 - 4*o - 5. Suppose 3*q + 2*w - 5 = 0, -4 = 5*q + 3*w - 14. Let n be h(q). Solve 2*i - 7*i = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 0. Let y(p) = p**2 - 2. Calculate y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 - 22)\/((-1)\/9*2). Let m(h) be the first derivative of 7\/6*h**3 - 2*h + l + h**2 + 3\/10*h**5 - 5\/4*h**4. Determine a, given that m(a) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1399, 1844, 2587, 3628?\n\"Answer: 149*m**2 - 2*m + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6365963407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/13 + 96\/65. Let h = -201172 + 201170. What is the biggest value in n, -2\/17, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 4 - 4)*(1 - 2 + 2)*(3 + 4 - 4) in the form l*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**2 - 6369*x + 97286. Give q(15).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 - v**2 + 2*v - 5. Suppose 3*k = d - 19, -5*d = -5*k - 46 - 9. What is the remainder when r(2) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8299 rounded to 2 decimal places?\nAnswer: 3.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142240 and 2352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3979 + 3978.9. What is the third biggest value in 18, -0.4, 1.8, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.11, -10\/37, -1.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 + 1005*a**4 + 53910*a**3 + 343910*a**2 + 714405*a + 423405 = 0.\nAnswer: -97, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 4*q + 24, 2*q + 24 = 5*b. Let i = 4 - 7. What is the second smallest value in 1\/2, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.8 - 1.8. Let l = -45 + y. Is -0.41 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111340 + -606?\nAnswer: -111946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 3, l: 1, f: 2}. What is prob of sequence lll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17298?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3284)\/8210*370\/8.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((11 - 8) + -10)*(-1332)\/14?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6321 and 93.\nAnswer: 195951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.054, 1, -1\/4, 3 in descending order.\nAnswer: 3, 1, 0.054, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 6. Find l, given that -2*l**2 - x*l + 11*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.9, -0.7, -14, 23 in descending order.\nAnswer: 23, 6.9, -0.7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 21 = 11. Sort -3, -4, k, 0.\nAnswer: k, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j + 17*j**2 + 66*j + 100*j + 54*j + 2.\nAnswer: 17*j**2 + 187*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 50123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 2. Let g be y(5). Suppose -4*d - v = 3*v - 4368, -4373 = -4*d - g*v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/7020 and 67\/84450?\nAnswer: 19761300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3066 and 52560.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzddzzddooddddo. What is prob of picking 1 z and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2793, 5039, 7283, 9525, 11765, 14003, 16239?\nAnswer: 18473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 1\/260 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -9, 21748 in increasing order.\nAnswer: -9, -4, -2, 21748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -43, 2, 57 in ascending order.\nAnswer: -43, -1, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**3 + 2*q**2 + 2*q - 1. Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 11:46 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5538.101 tonnes to milligrams.\nAnswer: 5538101000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-24)\/20) + 3\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -471, -469, -467?\n\"Answer: 2*b - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*p + 41*p**2 - 41*p**2 - 734*p**3 + 733*p**3.\nAnswer: -p**3 - 209*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-22)\/(-22))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o + 1. Suppose 0 = -124*j + 13641 + 5207. What is the remainder when j is divided by m(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27345 divided by -3.\nAnswer: 9115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*h*p*y + 4*h*y**3 - h*y**2 - 701*p*y**4 - p*y**3 - p*y**2 + 3*y**2 + 3 wrt y?\nAnswer: 24*h - 16824*p*y - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24763.3 + -24763. Put -1, c, -270, -3\/4 in descending order.\nAnswer: c, -3\/4, -1, -270","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 3*n + 4*x + 13, 2*n + 6 = -4*x. Sort 2, n, -0.04.\nAnswer: -0.04, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2248\/9 (b) -1\/4 (c) 207\/14 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2320 + 2320. Let k(i) = i - 1. Let o be k(4). Let x = 1 + o. Solve 0 = 2*c - u - x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1763905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/12*(-6)\/(-40). Let k be (13296\/(-3796))\/((-90)\/4). Let x = k + -2\/1095. Put -0.2, x, c in ascending order.\nAnswer: -0.2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1 - 2 - 6 - 13*d. Let n be a(-3). Calculate the highest common factor of 240 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*o - 1165 + 5415 + 4470 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c. Let b be 11\/4 + 4\/16. Let x(g) = -g**2 + 6*g - 7. Let m be x(b). Let a(p) = p**2 + p**2 - p**m. Give a(o(k)).\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 56.949?\nAnswer: 1423.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 88*u + 33*u + 0)*(-4*u**2 - 11*u**2 + 4*u**2).\nAnswer: 605*u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158\/3 - 476\/9. Let o = 45.1 - 45. What is the closest to o in d, 1\/4, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2123001 - 203?\nAnswer: -2123204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 2*m**2 + 5. Let r(s) = s**3 + 1. Suppose -3 = 4*n - 23. Let v(a) = n*r(a) - w(a). What is the third derivative of v(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.29 - -29.29. What is the nearest to m in 1, -5, -3\/100?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421*b**6 - 2381*b**4*f**2 - 2*b**2*f - 3045*b**2 - 3*b*f**2 + 19*b*f - 2*f**2 wrt b.\nAnswer: 50520*b**3 - 57144*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 316250*n**2. Let u(v) = v**2. What is u(m(y))?\nAnswer: 100014062500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/42 and 6\/(-16) + (-650)\/(-176).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 + 3*l**2 + l + 6. Let s(t) = -5*t**3 - t**2 - t - 6. Let k(u) = 4*c(u) + 5*s(u). Suppose -4*h + 30 = h. Determine k(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 222*d**3.\nAnswer: 222*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123272 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 306\/628 - 7\/14. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -3\/2, -5134\/5, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 2.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5263, -7705, -11775, -17473, -24799, -33753?\n\"Answer: -814*r**2 - 4449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 4*q + 2. Let d = 10 + -4. List the prime factors of n(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 29*k)*(6*k + 0*k - 4*k).\nAnswer: 58*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 592*d**2 - 33350*d + 432500.\nAnswer: 2*(d - 25)**2*(d + 346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let z be o(3). Suppose 5*s + 5 = j, 0 = -6*s + z*s - 4. What are the prime factors of 3\/((-3)\/(-11)) - j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 964 - 276. Let v be (d\/(-473))\/(1 - 0). Factor v*m**3 + 0 - 2\/11*m**2 + 2\/11*m**4 - 2\/11*m**5 + 0*m.\nAnswer: -2*m**2*(m - 1)**2*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavs when four letters picked without replacement from {c: 1, e: 2, v: 2, s: 3, w: 3, a: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-4)\/((-2)\/(-2)). Suppose 3*j + 6 = 0, 2*o - 7 = m*j - 3. Suppose 2*z - 12 = 5*z. Sort z, 1, o in ascending order.\nAnswer: z, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -794 - 615*z**2 + 1063*z**2 - 451*z**2 to the form r*z + q*z**2 + u and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1520 + 569 + 139 - 7375)*(0 + b + 0) to j + w*b and give w.\nAnswer: -8187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 13 - 5 = 80. Solve 0 = -4*i + w*r - 17 + 13, 6*r = 4*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15828, -31617, -47384, -63135, -78876, -94613, -110352?\nAnswer: -126099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 9*h - 2*h)*(-12*h**2 - 6*h**2 + 2*h**2).\nAnswer: -272*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005279 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5 - 4 + 12*o**2 + 0*o**2 - 6*o - 7*o**2 - 4*o**2. Determine m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:47 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000001188895 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q - 3. Let n be z(3). What is the tens digit of 176\/6 - 4\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83324.5 millennia to years.\nAnswer: 83324500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*z - 3, 3*m = 4 + 5. Let a(o) = 4*o**2 + 4*o + 3. Let r(t) = -5*t**2 - 5*t - 4. Give z*r(n) - 4*a(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 72. Let b(u) = u**3 - 6*u**2 - u - 24. Is 10 a factor of b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 6328520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b - 2. Suppose -3*g + 17 = 26. Let w be (0 - g)\/(12\/8). Let u(r) = 7*r**w + 5*r - 14*r**2 - 5 + 10*r**2. Determine 10*l(i) - 4*u(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p**2 + 1. Let c be f(1). Let z(l) = -l + 2. Let d be z(c). Suppose -q + 7 = -4. Calculate the highest common factor of q and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - l - 11, -l = 5*k + 51 - 130. Let i = 47 - k. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -2*t**3\/3 - 69*t**2\/2 + 44*t. Let q be l(-18). Is q >= 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -77, 9, 3, 7, -16 in descending order.\nAnswer: 9, 7, 5, 3, 1, -16, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 52 = 4. Let f = j + -12. What are the prime factors of f + -3 + 6 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/2409158 and -35\/92?\nAnswer: 4818316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 25. What is the closest to -24 in 1\/4, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38064.016 - 37923. Let f = g - 0.016. Let y = f - 141.73. Round y to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234*o**3*y**2 - 4218*o**3*y - 47*o*y**2 - 52*o*y + 9*o - 3*y wrt o.\nAnswer: -1404*o*y**2 - 25308*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3384)\/(-1974)*245\/(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20110 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*v = -21, -13 = 3*q - q + 3*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367 = 2*q - 10*l + 99, -2*l = 3*q - 5*l + 9*l + 165 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 2 s when four letters picked without replacement from {u: 1, s: 2, x: 1, l: 1, d: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3)\/v*v))\/v*v**(2\/19)\/v)**(-3\/4) assuming v is positive.\nAnswer: v**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-40) + (50\/(-5))\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/999 and 37\/10089.\nAnswer: 1119879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 2*x + 76, -4*q = -5*x - 106. What is the remainder when 1149 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6*r - 6. Let t be w(7). Let o = -6 + t. Is o greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 5\/3 (b) 9.0746 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1, r: 1, x: 1, q: 1, w: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99.9*-12091.\nAnswer: 1207890.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2236.569402 - -2236.6. Let t = -3.985 - -3.954. Let k = r + t. Round k to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16263 by -2.\nAnswer: -16263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**2 - 73*w**2 + 127*w**2 - 80*w**2.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -223 and -563.64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = i - 0*i. Suppose -i = -4*u + 45. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, e: 3, b: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**29\/k)**(1\/65) assuming k is positive.\nAnswer: k**(29\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/157, 1\/9, -1\/187.\nAnswer: -1\/187, 2\/157, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211121002021 (base 3) in base 6?\nAnswer: -52151441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -83108?\nAnswer: 83108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -38*n + 1. Let v be k(1). Let y(j) = 195*j - 618. Let u be y(3). Let x = v - u. Put -3, x, -5, 6 in increasing order.\nAnswer: -5, x, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 4. Let v be g(3). Suppose -33 + 8 = -5*c. Suppose -c*k + 23 = -i, 0 = -2*k + i + 3 + 8. Solve j + 3*h + 3 = v, -3*h - k = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 32039*h + 128097. Give s(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + 2. Let k = 0.2 - f. Let i = -361\/12 - -123\/4. Put k, i, -1 in descending order.\nAnswer: i, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8)*-2)\/((-3)\/9). Suppose 5*u + 251795 = m*u - d, -125885 = u + 3*d. Round u to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 2*i + 5 + (2 + 1 + 12)*(4*i + 0*i - 6*i) + 2*i + 2*i - 2*i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 - 66*g**3 - 52*g**2 + 384*g.\nAnswer: -2*g*(g - 2)*(g + 3)*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -93*s + 13850. Let u be b(-41). Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 3*v**2 - 4*v - 8. Let k be a(-3). Suppose p - k*x = 115612 - 367608, 2*x = 3*p + 755998. What is p rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 = -6*h. Let o = h + 8. Sort o, -5, -4 in descending order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -116*g**3 + 8*g + 14. Let h(y) = 117*y**3 - 7*y - 8. Determine -6*h(m) - 5*s(m).\nAnswer: -122*m**3 + 2*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -13. Let i be (-15 - 0)*n\/40. Solve i = -j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/o**(-2\/41) assuming o is positive.\nAnswer: o**(207\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 1:24 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2784829\/632)\/(3\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2520*h**2 - 9*h - 15. Let w be v(-5). Suppose 5*y - w = o, -7*y + 3*y - 5*o + 50395 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:44 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let t(l) = -3*l**2 + 41*l. What is z(t(d))?\nAnswer: 6*d**2 - 82*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 16.5\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.43213 millilitres in litres?\nAnswer: 0.02543213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, 28, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2571 + -2568.042. Let h = -0.042 - a. What is the nearest to 0 in h, 38, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 35. Suppose -3 = -w + 5*y - z, 23 = 5*w - y. Suppose -3*g = -w*g + 6. Solve 5*a - 32 = g*v, a - 2*v - 2*v - 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - -10)\/(-4 - -1). Suppose 4*u - u = h. Let x be -10 + 10 - (u - 0). Which is bigger: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/((-20)\/150)*19*(-56)\/20748.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-91))\/(3*4\/(-42)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1032\/(-72))\/((-5)\/15) - -7\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 3.6613, -4, -5 in increasing order.\nAnswer: -5, -4, 2\/17, 3.6613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 5823*p + 200130.\nAnswer: 3*(p + 35)*(p + 1906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490558 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*t + 28, 3*s + 10 = 5*s + 2*t for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -90, -220, -402?\n\"Answer: -26*k**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2308891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 2*v**2)*(109 - 823*v + 101 - 210).\nAnswer: 823*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2014 + -23?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -75 + 17 + (6 - (-40 - -60)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38370 + 2?\nAnswer: 38372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -779*g - 71*g**2 - 1573*g + 391*g**3 + 239*g**2 - 394*g**3.\nAnswer: -3*g*(g - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*p - 3, 2*f - 4*p + 5*p + 9 = 0. Let k be -3 + (f\/(-6) - (1 - 5)). Suppose -92 = -5*c - k. What is the least common multiple of 8 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134640 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 5*g. Let q(f) = -f**3 + 4 + 0*f**3 + 5*f + 10*f**2 - 6*f**g. Let i be q(5). Solve 5*b - 2*j = -3*j + 17, 3*b = -i*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -80. Let b = 0 + 3. Solve 0 = 5*u + b*y - 3, u - 2 = z*y - 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = 6. Suppose 0 = -5*j - 4*y + 6, y - v = j - 2*j. Let w(i) be the third derivative of -i**5\/60 + 6*i**2. Calculate w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/210 and 59\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20646 and 18.\nAnswer: 20646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -82617464143758\nAnswer: 82617464143753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4.7. Let y be (-5)\/2 - 88\/176. Let r = -1.6 + 1.62. Which is the nearest to 0? (a) y (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (-187 + 184 + (-14 - -1) + 15)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -12 + 4 - -7) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 22093 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -80. Suppose r*q + 72 = 5*s - 915, 0 = -2*s - 2*q + 406. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.34940594 rounded to two dps?\nAnswer: 30.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -169, -291, -449, -637, -849?\n\"Answer: v**3 - 27*v**2 - 6*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Let n be (h\/(-1 + 5))\/2. Put -11, 4, n in descending order.\nAnswer: 4, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 25. Let y = -19 + a. Is 5 + -1 - 51\/y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 31262?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -39?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00176133 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/1225 - -1213\/3675. What is the closest to 1 in 1\/4, d, -67, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 11*r**2 + 4*r - 14. Give w(11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3331*g + 2898*g + 23815 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 5*f**2 - 6*f**2)*(-5630*f + 5630*f + 283*f**2).\nAnswer: 283*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(2\/6). Suppose 16 + 4 = 5*j. Let x(v) = -4*v + j + 0*v - v**2 + v. What is x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 7*l - 4. Let k be o(8). Suppose 4 = k*n - 4. What is the second derivative of 12*f**4 + 6*f - 2*f + 6*f - n*f wrt f?\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -42, 0.1, 3, -8\/73?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 30 + 12)*(-2*v - 1 + 1).\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/75)\/j*j*(j**(-3\/17)\/j)\/j assuming j is positive.\nAnswer: j**(-2809\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**3\/3 + 7*k**2\/2 + 7*k + 1. Let n(l) = l**2 + 7*l + 7. Let d(u) = -5*a(u) + 6*n(u). Calculate d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2129, 2133, 2127, 2105, 2061, 1989, 1883?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b + 16. Let m be z(9). Suppose -3*o + 17 = -m. Let h = 63 - o. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1055 + 5?\nAnswer: 105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 2*a**4 + 2*a**4 + (-2069*a**2 + 987*a**2 + 1009*a**2)*(2*a**2 + 3*a**2 - 2*a**2).\nAnswer: -217*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/165 - 12535\/(-75). Let r = a + 1037. What are the prime factors of r?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.803495 rounded to the nearest integer?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 138 + 131 = -241 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -486900 and 1.\nAnswer: -486899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43660056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - -0.7. Is v greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -2\/3, -0.197, -73\/2?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -6 - -8 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42265338*f**3*m**3 - 31*f**2*m**2 + 2*f**2*m - 45377*f**2 + 2*f*m**3 + 4*m**3 wrt f.\nAnswer: 253592028*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(20\/18)*4250\/(23970\/141)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.58 + 16.31. Let m = 7.1475 + s. Round m to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -78.082?\nAnswer: 15.6164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 6. Suppose 3*t = -l - 13, 0*t = -3*l + 4*t. Let b be o(l). Does 15 divide 46\/161 - (-360)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -16*l**2. Let r(n) = 1553*n - 2. What is r(h(q))?\nAnswer: -24848*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 138628098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6327 and 7955?\nAnswer: 1360305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77 (b) -21.2 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -58 - 42. Suppose t = 4*u, 4*k = k + 2*u - 10. Solve 3 = -3*f - k*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 - 201. Let s = n - -27. Solve 11 = -2*z - 5*a, 8 = -s*z + 3*a + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 11. Let r(u) = u**2 - 10*u + 3. Let y be r(w). What is the third derivative of 0*g**y - 3*g**2 + 2*g**3 + 2*g**2 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -657*m - 1931. Determine d(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**3 + 3*x - 1. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14, 0.3, -0.02, -1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*n + 1104 + 969, 2*n = d - 421. What is the second biggest value in 3, -1\/2, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and (7 + 105\/(-98))*(0 - 1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u + 17. Let o be k(5). Suppose -5*d - 3*x = -2 - 1, 14 = o*d - 2*x. Suppose -h + 95 = 3*l, d*h + 0*h = 5*l + 243. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o + 7 + 52*o - 216*o + 70*o + 51*o - 7.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 63. Suppose -2*r + a = 6, 0 = 4*r - a + 11 - 1. Let s be (2 + r)*(-5)\/(-50)*5. What is the units digit of i(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 - (-95)\/20. Let r be 2\/(10\/k - 2). Solve -1 - 3 = r*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57632 divided by 2\nAnswer: 28816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2134 + -14936\/7. Factor g*z**2 - 6\/7*z + 4\/7.\nAnswer: 2*(z - 2)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 + 1 - 0) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 - 7*j**2\/2 - 12*j - 14. Does 43 divide p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 2*o**2 + 13*o. Let j(k) = -k**3 - k**2 - 4*k. Let s(w) = 7*j(w) + 2*n(w). Let s(c) = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 422, 5 in descending order.\nAnswer: 422, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 109 - 12*y)*(-37*y + 4*y**3 + 54*y - 3*y**3) - y**4 + 1 - 1.\nAnswer: -13*y**4 - 204*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3393\/(-348) + (1 - 5\/4). What are the prime factors of 25220\/q*5\/(-10)?\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2) - (86 - -1 - -8). Let x = l - -124. What is the remainder when 84 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -35*j - 5. Let f be n(-3). Let w be (-55 - -1)*f\/(-30). What is the highest common factor of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 - x**5 - 6*x**5 + (-1 + 1 + 2*x)*(-x**4 + 2*x**2 - 2*x**2) + 2*x**5 - x**5 - 3*x**5.\nAnswer: -15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {k: 15, c: 5}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-48)\/16)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13928.90198 + -19464?\nAnswer: -33392.90198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 - 1311*a.\nAnswer: -1311*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + o**2 - 4 - 3*o**2 + 7*o**2. Let x be q(2). Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(1\/10)\/((g*g*g**(-2\/9))\/g**4) assuming g is positive.\nAnswer: g**(209\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 13*c + 13. Let o be (-2)\/(1 - 1 - -1). Let w be o + (2 - (7 + -1)). Let d(s) = 5*s**3 - 4*s**3 - 3 - 3 + 6*s. Calculate w*g(n) - 13*d(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + m = -218, -b - b + m = -86. Let t = -28 + b. Suppose 5*i = s + 384, s + t = -3*s. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - m + 35, 0 = -2*o - 2*o + m - 71. Is 6710\/18 - 4\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 20*j - 227. Calculate t(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*s + 27*s + 167*s = 566. Factor 1\/4 - 1\/4*k**s - 1\/4*k**3 + 1\/4*k.\nAnswer: -(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/3)\/(-3 - -5). Suppose q*v - 4 + 2 = 0. What is the lowest common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 52740361*n**2. Let v(q) = -19*q**2. What is t(v(h))?\nAnswer: 19039270321*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + -315. Let h = 151 + r. Solve -3*c + 11 - 26 = -3*p, 0 = c - 4*p + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 2*h - 2*h + (2 - 4 + 3)*(2*h - 3 + 3) + (-h + 0*h + 0*h)*(-5 - 9 + 4) + 5*h + 0*h + h as y*h + c and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 314331*m + 2*m**3 - 314329*m - 2*m**4 + 9 to the form i*m**2 + g*m + c + f*m**3 + t*m**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -111, 0, -1\/6, -4, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(80) - (1 + 1*sqrt(80)) - (-2 + sqrt(80) + sqrt(80)*-2)))**2 + -1*(-2 + 0 + sqrt(80) - (sqrt(80) - (-1*(sqrt(80)*2)**2 - sqrt(80)))).\nAnswer: 12*sqrt(5) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 87*l**2 - 125*l - 51. Let x be z(42). What is the closest to -9 in 1\/5, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 21*t - 73. Is f(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22))\/sqrt(2) + sqrt(1100) + (sqrt(1100) - (-3 + sqrt(1100))))**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(1 - 6\/(-9)). Let i be -2 + 12*(-1)\/z. Suppose 6\/5*w**4 + i*w**2 + 0*w + 0 + 8\/5*w**3 = 0. Calculate w.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 6*g**3 - g**3 to the form d*g + p*g**3 + f + l*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oiqdoqdqoqqjjjqqqd?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*a - 2, -14 = -h - 3*a. Let t be ((-20)\/(-50))\/(h\/(-40)). Let b(l) = 7*l**2 + 9*l - 3. Is b(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2.784, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0, 3, -2, -5, 5, -18 in increasing order.\nAnswer: -32, -18, -5, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 7. Let r(z) be the second derivative of 0 - 3*z - 1\/3*z**3 - 3\/2*z**2. Let q(j) = 13*r(j) - 6*x(j). Find the first derivative of q(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110011111 - 1?\nAnswer: 100110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 + 24 = 0. Let t(h) = h + h - g*h + 3*h. Let i(y) be the second derivative of y**3\/6 - y. What is t(i(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3*g + 2*g - 2*g) - 185 - 19*g + 185.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/81 - -55\/81. Which is the smallest value? (a) -0.2 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znmnznnmnnnn. What is prob of sequence mmnn?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2208)\/(-460))\/(6\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3*(-7 + 10). List the prime factors of u*((-55)\/20 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190201110 by 6.\nAnswer: 31700185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 95, 155, 215, 275, 335?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1662166 - 1662166 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/11))\/v*v**(4\/9)*v*v*v\/v**7*v\/(v\/v**(1\/6)))\/(v**(6\/7)*v**(6\/11))**45 assuming v is positive.\nAnswer: v**(-90665\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23303 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 0 = 4*r + 4, 0 = 2*b + 3*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t = 57*t + 96. Let r = -22 + t. Let q = -9 - -11. Solve -4 = d + r*l, 0*d - q*d + 16 = -4*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832) + -1)**2 + 5 - (2*(sqrt(78) - (sqrt(78) - sqrt(78)*2)) - sqrt(78))\/sqrt(384).\nAnswer: -131*sqrt(13)\/8 + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7457 is divided by 2466?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -831 + 1560. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*i, 4*z - i + 77 = 93 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007572 is divided by 768?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - 0.14. What is the closest to -5 in n, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/2 + 9*s**2 + 18*s. Let j be r(5). Suppose j = 4*x - 3*x. What is the least common multiple of 5 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 49\/14 + (-32)\/12. Let w be (-2 - -4) + (-12)\/5. Let r = -1034\/5 - -206. Put w, n, r in descending order.\nAnswer: n, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s + 10*s**2 + 21*s**2 - 32*s**2.\nAnswer: -s**2 - 48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-126))\/(12\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 199. Let f be g(-18). Which is greater: 88 or f?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 60*b + 251. Is j(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*w**5 - w**3 + 3*w - 8.\nAnswer: -1820*w**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/15)\/(i\/(i\/((i\/((i\/(i*i\/i**(-4)))\/i))\/i))))\/(i*i**(3\/2)*(((i\/i**(-4\/5))\/i*i)\/i*i)\/i) assuming i is positive.\nAnswer: i**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 775458346051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -g - 12. Suppose -5*l = c - 2*c + 153, 2*l - 146 = -c. What is the remainder when c is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -26585?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42091647, -84183288, -126274929, -168366570, -210458211?\n\"Answer: -42091641*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.191934 millennia in years?\nAnswer: 7191.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1684\/5 - 19763\/60. Suppose 188 = 2*f - 3*k - 2*k, -5*k - 272 = -3*f. What is the common denominator of (-53)\/(-112) - 24\/f and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -38. Let a be s - (0\/(-6) + 0 + 0). Suppose a*k - 450 = -2*k. Round k to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y. Let b(m) = -19854*m**2. Calculate d(b(s)).\nAnswer: -19854*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94, 191, 288, 385?\n\"Answer: 97*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/3 - 3*x**2 + 4*x - 1. Let b = 14 + -15. Let z be (-70)\/(-15) - b\/3. Calculate r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-393)\/(-202395))\/((-42)\/(-420))\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 608162647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p = 34*p + 3675. What is the greatest common divisor of p and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1739 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*h**2 + 539*h**2 - 286*h**2.\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/155 in -1\/6, -0.5, -63, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -11 - (-3 + 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*s**2 - 50*s**2 - 44*s**2 - 48*s**2 - 905*s - 48*s**2 in the form p + j*s**2 + b*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/43? (a) -21.8 (b) 0 (c) -529 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3627150717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 3*a**2 - 3*a - 3. What is the units digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301 + 890. Let g = n - 588.5. Which is the fourth smallest value? (a) 3 (b) g (c) 0 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76) + (sqrt(76) + -1 - sqrt(76)) + -1 + (sqrt(76) + 1)*-2)**2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - f - 73, 3*f = 3*h - 0*f + 51. What is the remainder when (-3)\/1*1392\/h is divided by (2\/(-1) - 0) + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 2, g: 5, x: 8, h: 1}. Give prob of picking 1 i, 1 x, and 2 g.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r. Let f(g) = -7203*g**2 - 392*g + 784. Let y(m) = -55*m**2 - 3*m + 6. Let s(j) = -3*f(j) + 392*y(j). Give s(x(z)).\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o + 4. Let p(t) = -t**2 - 7*t + 4. Let v(a) = -5*n(a) + 6*p(a). Let l be v(-3). Let f(r) = -r + 1. Give f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 6)*2\/2. Suppose -2*j - 3 = -z. Calculate the greatest common divisor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f + f + (0*f + f - 5*f)*(-5 + 4 + 3).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/5*30\/12 - -4. Suppose -4*n + 5*q = -f*n - 1, 0 = 3*n - 3*q - 39. Solve -7*x = -9*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*y + 16 = 0, 3*y = -u - 3*u - 64. Is u\/24 + 82*3405\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - (-9 - (1 - 1))) + 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 8*s - 3. Give n(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*(-24)\/(-200))\/((-3)\/(-75)). Let m = 116 + -84. Solve -m*z = -35*z - x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*w**2*y - 4*h*w**2 - 4*h*y - 6*w**2 + 69*w + y wrt h?\nAnswer: -2*w**2*y - 4*w**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3 + k + 12 + 15*k**2 - 16*k**2. Let j be r(0). Suppose -j*x + 34 + 26 = 0. Solve -28 = -x*u + 5*p, 3*u - p = -2*p + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 27*m + 1248. Suppose 0 = -5*k + 3*a + 4 + 91, 4*a = 2*k - m. Sort k, -1, 3, -2 in ascending order.\nAnswer: -2, -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + y - 1. Let b be 1\/3*(5 + -2). Calculate m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 7 in ascending order.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q, -3*f + 78 = -4*q. Let d = 28 + f. Let m = d - 36. What is the smallest common multiple of m and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgg when three letters picked without replacement from {t: 3, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*a**2 + 56*a**2 + 54*a**2 - 172*a**2 + 1440*a to k*a + b*a**2 + y and give k.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - w + 6*w = -10, 2*j = -w + 13. Solve o - 12 = -4*g, j*g + 7 = o + 22 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**7\/280 - 3*w**6\/160 - 3*w**5\/80 - w**4\/32 + 2*w**2 + 2. Let n(q) be the second derivative of u(q). Solve n(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 717.7902 decades?\nAnswer: 71.77902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*y - 232, 2*z + 4*y - 127 = 105. Let n be 0\/(2*(2 - 1)). Suppose 2*b - 122 - z = n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776877 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 2*o + 1. Let b be u(4). Suppose 0*w = -w + 15. Let i = b - w. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032*-0.1482.\nAnswer: 0.0047424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 9 - 9 + ((-6 + 1 - 4)*(-4 + 3 + 4) - 3 - 4 + 8)*(-f**3 - f + 4*f**3 - 2*f**3).\nAnswer: -22*f**3 + 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3065850, 6131708, 9197566, 12263424, 15329282, 18395140?\nAnswer: 21460998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -523*z**3 - 1051*z**2 - 8*z + 3. What is d(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6069293?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, c: 2, k: 5}. What is prob of sequence kkcc?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*q**3 - 6608*q**2 + 3304*q**2 - 358*q**3 + 3304*q**2.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, 2605?\nAnswer: 2605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 u when three letters picked without replacement from {j: 2, k: 4, u: 3, n: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = -2*w + 12, -5*w - 36 = 3*i. Let t = i + 7. Which is the smallest value? (a) -2 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081420 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/4 of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*v + 1540 = -11*v + 8*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2512*r*w**3 - 1578*r with respect to w.\nAnswer: -7536*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000902555 to five dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 1043558*w - 9391995.\nAnswer: -(w - 3130665)*(w - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646 (base 10) in base 16?\nAnswer: -a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-84)\/(-8))\/((-10)\/4) and -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6569 - 177403\/27. Calculate the common denominator of -1\/24 and s.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65.1 + -69. Let j = r + -0.1. What is the smallest value in -1, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-528 - 166 - 177)*(-2*n**3 - 11 + 11).\nAnswer: 1742*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 61*w**3 + 7*w**2 + 4*w + 3. Let n be u(6). Let c = -134431\/10 + n. What is the common denominator of c and -63\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let d(v) = -23*v - 33. Let k(l) = -6*a(l) - d(l). Let y be k(11). Suppose -11*x + y = -3*x. Calculate the highest common divisor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 1)\/((-2)\/2). Let d(b) = 7*b**2 - 6*b - 4. Let h(o) = -8*o**2 + 6*o + 5. Let g(l) = y*h(l) + 6*d(l). Calculate g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/280 and 77\/40640.\nAnswer: 284480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4200)\/(-8))\/(2 - 99\/51). Suppose 0 = 3*g - 6*g - 5*l - z, 2*g = -4*l - 5948. Round g to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:45 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 315692593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12394875*l**2 + 52*l + 17732 wrt l?\nAnswer: 24789750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1608, 1601, 1594, 1587, 1580, 1573?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2. Let p(a) = 2*a**3 + 3. Let g be 4\/6 + (-1)\/(9\/(-156)). Let c = 22 - g. What is c*p(l) + 6*j(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -166, -247, -320, -379, -418, -431?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 16 = 0. Suppose v + 74 = 3*v - 4*f, -3*f = t*v - 137. Calculate the highest common divisor of 385 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 815, 0, 0.2, -5 in ascending order.\nAnswer: -5, 0, 0.2, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 153 + (-9 - (36 - 22))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 966, 971, 978, 987, 998, 1011, 1026?\n\"Answer: i**2 + 2*i + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-9 + 10)*(-1)\/(-2)). Solve 4*i + 0*i = -2*t - 4, -t = m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 23 = -1198. Suppose 5*i = -67*a + 66*a + h, a = 5*i - 109. What is the remainder when 70 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.7083115 to the nearest integer.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2991 = -1772*b + 25361 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**4\/4 - 8*u**3\/3 - 3*u**2 + u - 9. Calculate g(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3835 and -2\/65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 8. Let n be g(5). What is the third derivative of -23 + 1158*a**5 + 2*a**n + a**2 - 1223*a**5 wrt a?\nAnswer: -3900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2331012, -4662026, -6993040, -9324054?\n\"Answer: -2331014*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 195*w + 1863. Let k be j(-9). Suppose n - 9 = -2*n. Suppose -n*d = -k - 174. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/650633 or 0?\nAnswer: 2\/650633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108200711 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/(1\/5). Let w(u) = -3*u + 33. Let y be w(20). Let j = y - -52. Solve j = -x*o + 7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*f - 6. Suppose -8 = -2*o + 2*u + f*u, -4*u - 12 = 0. Let s be 4*1\/2 - o. Put -1\/3, -1, s in descending order.\nAnswer: s, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/5 - 38*o**3 - o - 91. Let u(z) be the second derivative of c(z). Let s(b) = 16*b. Determine s(u(t)).\nAnswer: -384*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l + 5*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2942, 5972, 9002, 12032?\nAnswer: 15062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4 + 30*t**3 - 125*t**2 - 270*t + 720 = 0.\nAnswer: -8, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 25*a = -9. Suppose -2*m + 6 = -3*g - 13, 3 = a*m + 4*g. Suppose 0 = m*v - 21 + 11. Solve v*i = -0*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14540672 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v = 400 - 99 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34128623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 274?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-5 - 66\/(-30)). What is the nearest to -2 in v, 5, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g + 44*g = 23*g - 2954 - 291 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, w: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299320397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 2*q - 4. Let d(t) = -t**2 - 32*t - 177. Let c be d(-25). Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (-1)\/(-4). Let a be (j - -1) + 0 + -1. Let q be (-4)\/42 - 60\/(-630). Is q > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/3 + 5*z**2\/2 + 27*z. Let x(o) = 3*o - 2*o + 1 + 1. Let l(k) = 6*u(k) - 14*x(k). What is the derivative of l(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/30 - (-1 + 2). Let z = -0.12 - 0.38. What is the third smallest value in z, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r + 6. Let p be z(-4). Let a be 1664\/(-520)*(-15)\/2. Solve -3*j + 23 = -0*j + 4*u, -4*j + a = p*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10 - 2. Suppose 0 = 3*k - 8*y + 3*y - 35, -2*k + 6 = y. Sort f, k, -10.\nAnswer: -10, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 78.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**5 + 36*f**3 + 10*f**2 - 16391*f wrt f?\nAnswer: 80*f**3 + 216*f + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:24 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -36 + 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4605971224272 - 262.\nAnswer: -4605971224534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 21*h - 2. Let z be w(10). Let m be -4 - 26*z\/8. Calculate the remainder when 123 is divided by (-10)\/m + ((-177)\/(-7) - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 15 = 0. Let v = 18 + l. Suppose -x + 482 = 5*f - v*x, 2*f + 5*x = 187. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 1. Let s(y) = -y**3 + y**2 - 3*y + 3. Let f be s(2). Let p be 99\/77 - (-2)\/f. Let j(d) = 0 - 6 - 2*d + 0 - 7*d**3. Give p*j(z) + 6*t(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30838692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6101, 6087, 6059, 6011, 5937, 5831?\n\"Answer: -z**3 - z**2 - 4*z + 6107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6812 is divided by 1563?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**4 + 25118 + 3*c + 2*c**4 + c**2 - 3*c**3 - 25118 + 0*c to l*c**2 + t*c**4 + v*c + y*c**3 + o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 10. Let x be h(5). Suppose -174 - 161 = -c - k, 2*c - 682 = -x*k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 51\/4 (b) -3 (c) -10 (d) 6 (e) -0.01 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 2*v**3 - 4*v**2 - 3*v + 0*v + 4 - v. Let f(n) = -n**3 + 3*n**2 + 4*n - 3. Give 4*f(s) + 3*u(s).\nAnswer: 2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 + 532*n**4 - 19164*n**3 - 7336*n**2 + 943838*n - 917868 = 0. Calculate n.\nAnswer: -7, 1, 7, 42, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3917013 and 1862.5.\nAnswer: -3915150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 299720103 from 1.041081.\nAnswer: -299720101.958919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*x + 178 = -51 - 293 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 305. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38513424 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 - 24*c + 36. Let k(w) = -w**2 + 4*w - 6. Let l(s) = -6*i(s) - 34*k(s). Factor l(z).\nAnswer: 4*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-39))\/((-2)\/6)*7137\/468*2\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsooer. What is prob of picking 1 t, 1 s, and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.8 and 0.045?\nAnswer: 2.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/12 - 4*k**3\/3 + 3*k**2. Let n(a) = a**2 - 3. Let f be n(-3). Give s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1139 and 37\/497386.\nAnswer: 33324862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -665151 (base 7) to base 15.\nAnswer: -24a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -168918 and -168153 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008081988 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 23. What is the remainder when 49 is divided by v(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 75*c + 38 + 18 - 13*c + 72. Let p be q(-14). What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26625\/24 + (-81)\/216?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i**2 + 91*i - 3. Let t(q) = -31*q**2 - 90*q + 5. Give 3*f(r) + 2*t(r).\nAnswer: -2*r**2 + 93*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -612 (b) -2 (c) 9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba5 + 5?\nAnswer: 2baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 21. Let z be (4\/(-28))\/((-6)\/n). Suppose 3041*i - 3055*i = -70. Which is the closest to -1\/3? (a) 2\/9 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*((-91)\/8 - -17)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -22\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a + 2*a**2 - 3*a**2 - a**2 + 2*a**2 + 3*a - 3*a - 2*a**2 + (-a + 0*a + 0*a)*(-a - 2 + 2) + a - a + 2*a**2 - 4*a + 14 - 2*a**2 - 14.\nAnswer: -a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**16*d)\/d**(18\/7) assuming d is positive.\nAnswer: d**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(6)\/sqrt(3) + (sqrt(2) - sqrt(50)*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78739.\nAnswer: 71, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 - 5*h**3 + 1 - 6*h**2 - 1 + 2 + 5*h. Let z(s) = s**2 - 1. Let n(v) = g(v) + 6*z(v). What is the second derivative of n(q) wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (1480 - 4) + 6*(5 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**6\/15 + 2*n**5\/5 - 2*n**4\/3 + 45*n. Factor c(a).\nAnswer: -2*a**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 7*v + 5*m + 47, -3*m - 865 = -3*v - 880 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2519 - -2509.6. Round a to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**3 + 3*i**2 - 1. Let k = 1 + 1. Let z be t(k). Let j = -33 + z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 494 - 441. Solve t = -4*i + 41 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -28. Let u be 66\/(-18) - o\/(-2). What is the closest to -3 in -2\/7, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 822948 and 176346.\nAnswer: 2468844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5120, -10287, -15454?\n\"Answer: -5167*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + ((sqrt(2448) + 0)*3 - sqrt(2448) - 3*sqrt(2448)*1)**2*1.\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.5, 0.148, -4\/5?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:57 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**4*n + h**4 + 163*h**3*n - h**3 - 18*h**2 + 28*n wrt h.\nAnswer: -168*h*n + 24*h + 978*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -30 + 26 + (-1 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 - 2\/6*(-11 + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6\/19)\/o**(-4\/5) assuming o is positive.\nAnswer: o**(46\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1333 - -1481. Calculate the lowest common multiple of g and 68.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -401059 bigger than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 2*s**2 + 3*s**2 + (s - 6*s + 3*s)*(-4 + 2*s + 4) - s**2 + s - s - 1 + 1 + s**2 + (-2*s + 2*s - s)*(s - 3 + 3).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795 divided by -3.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4801, -8878, -12963, -17056, -21157?\nAnswer: -25266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266580, -267205, -267830?\nAnswer: -268455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 29*b**2 + 36*b - 218. Calculate k(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o - 82. Calculate the remainder when o is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 28 - 102)*(-2 + 11 + 14 - v) + 4*v - v + v in the form p + k*v and give k.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/13 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from vgygaavdavgdx.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14995*b**2*s**5 + 282*b**2*s**2 + 4*b**2*s - 2*b*s**5 - b - s wrt s?\nAnswer: 899700*b**2*s**2 - 120*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -11. What is the units digit of (-105)\/14*j\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/12*(8 - (-16)\/(-2)). Solve w = 41*a - 102 - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 3*u**3 - 3*u**3)*(82*u + 58*u - 9*u).\nAnswer: -131*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 3*m**3 + m**3 - 3*m - 7 - 2*m in the form p*m**2 + w + d*m + i*m**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 2545695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -100\/15151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -8*u - 4 - 44*u**2 - 40*u + 0 - 3 + 3 = 0.\nAnswer: -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.1192km to micrometers.\nAnswer: 634119200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1 - 4. Let t be (-2 - (2 - 3)) + 2. Is t at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from boiifboifsoipfo?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4288*r - 145780. What is x(-34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 23\/4 (b) -2\/3 (c) 0 (d) -0.4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/3 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 4) + 5152\/(-272).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12701430 and 1050?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 1031*b**6\/30 + 3747*b**2\/2 + 341*b. Find the first derivative of u(a) wrt a.\nAnswer: 4124*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8251 + -8250. Which is the third biggest value? (a) -0.5 (b) 0.01 (c) n (d) 2 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 30. Let r = g + -12.99999885. What is r rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 13.528 (c) 0.3 (d) -4 (e) 9 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/40 - 3*z**5\/16 - z**4\/8 + z**3 + 466*z + 1. Determine d so that o(d) = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51184333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let a be 1\/(-4)*w*0. Let p(q) = a*q + q + q. Let b(u) = -u**2. Give p(b(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.3 - 10. Let m = 0.9 + j. What is the third biggest value in m, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/102*231\/14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -314, -319, -236, -23, 362, 961, 1816?\n\"Answer: 7*l**3 + 2*l**2 - 60*l - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43165 and -18.25.\nAnswer: -787761.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 52080 and 52089 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-544)\/1224 - (-56)\/(-36)) + -44.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6430385019375 - 5.\nAnswer: -7.6430385019375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, h: 6}. Give prob of sequence hqq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7856, -7857, -7860, -7865, -7872, -7881, -7892?\n\"Answer: -l**2 + 2*l - 7857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 5789 + 5693 = 0. Suppose -3*i + 0*i + 105 = 0. Calculate the remainder when i is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -139679 at least -139678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 317 = -125. What is the remainder when x is divided by ((-192)\/42)\/(4\/(-14)) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/3 + 506566*g\/3 = 0.\nAnswer: 0, 253283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -43*z**5\/20 - 47*z**4\/6 - 6*z. Find the third derivative of r(c) wrt c.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101001111 (base 2) to base 13\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*w - 324*w = -46. Let g = -21547\/38 + 567. Is w < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 + g**2 - 2*g + 2. Let n be p(-8). Suppose 4*h = 9*h - n. Suppose -4*i + h = 50. Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g**2 + 2. Let p(k) = k**2. Let t(x) = -21*p(x) - 3*z(x). Differentiate t(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.5 (c) 790 (d) 2766 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 65664.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 6)*1\/3. Factor 1\/3*p**2 + z - 2\/3*p**3 + 0*p + 1\/3*p**4.\nAnswer: p**2*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -17*s**6\/24 - s**5\/60 - 131*s**3\/3 - 110*s**2 + 4. Differentiate r(o) with respect to o.\nAnswer: -255*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*r + 3*c, 71 - 27 = 4*r + 4*c. Calculate the lowest common multiple of 2\/(5\/((-140)\/(-8))) and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.196 (b) 1 (c) 34 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*(48 - 5). Let h = -644\/15 + j. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 1, t: 1, z: 1}. Give prob of sequence zst.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y - 2. Let j be t(-2). Let f = j + -1. Solve 8 + 12 = -f*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(1\/27)\/(z**(2\/7)\/((z**(-3\/2)*z)\/z))*((z\/(z*z**1))\/z)**43\/(((z\/(z\/z**3))\/z*z)\/(z*z**(-4))) assuming z is positive.\nAnswer: z**(-35465\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 55. Let r(u) = 9*u + 4. Let p be r(-6). What is the remainder when p*(14\/(-10) + 1) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815410 to the power of 1\/2, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 654 + -652. Suppose 92 = 2*w - i*a, -4*w + 0*a + 5*a = -188. What is the remainder when 419 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 1 + 1)*(-3 + 4 - 2) - 3 + 2 + 0)*(11958*x**2 + 8*x - 11958*x**2 + x**3) in the form g + l*x + o*x**2 + f*x**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 855.9412 + -875.92. Let d = i + 20. What is d rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49603 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 739a7 (base 14) to base 6\nAnswer: 5551531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.02893 years in millennia?\nAnswer: 0.03402893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 - 299. Let p(s) = 70*s**3 - 2*s + 11 - 9*s**2 - 19*s**d - 50*s**3. Let q be ((-6)\/(-4))\/3*18. Calculate p(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5 - 7*m**4 - 15*m**3 - 13*m**2 - 4*m = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -2\/3, 0.3, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1182*y**2 + 1122*y**2 + 118*y**2 + 5635*y + 40*y**3 + 1091*y**2 - 1058*y**2 + 1770 = 0. What is y?\nAnswer: -59, -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68299930 to the power of 1\/2, to the nearest integer?\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -24245795624?\nAnswer: 24245795627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60063084 and 55057827.\nAnswer: 660693924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-4 + sqrt(1216) + sqrt(1216)*3 - sqrt(1216)) + -1*sqrt(1216) + -5)**2 + 1 + -4).\nAnswer: -19768 + 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 times 9?\nAnswer: -5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-18) - -3)\/(-3). Which is the nearest to 1\/4? (a) r (b) -0.1 (c) 2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 6, c: 5, b: 5}. What is prob of sequence rc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + (37 - -47) + (-20 - 2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3 - 1495172*m**2 + 139567825644*m + 28674273320820 = 0.\nAnswer: -205, 186999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*f**2 - 5*f + 5*f.\nAnswer: 774*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 331088 = -5*s, 4*s - 5*s - 2*d = -66219. Suppose 6*n + 12679 = s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282 - -574. Suppose -4*i + 0*k + 312 = -k, 4*i + 4*k - q = 0. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5496.002474 + -5496. What is a rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let k = 0.15 + -0.2. Let n = k - 2.95. What is the second biggest value in n, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 2, n: 1, a: 1, b: 1, d: 1}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -34107*(-24)\/1008*14.\nAnswer: 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/75*-3*(-35)\/5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/5*-3*2\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 529 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1063.5 + 1063. Let f = -2 - -5. Let z = -3.1 + f. Which is the nearest to 1? (a) 1 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 21 = z + 4*i, 3*i + 12 = 0. Let p be (-123)\/(-3) - (-3 - 20\/z). Suppose o = 215 - p. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(4*1) + -1. Let f = -1741 - -3481\/2. Which is the nearest to f? (a) 0 (b) t (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -768 and 0.11.\nAnswer: -84.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1159 * -0.07.\nAnswer: -81.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 18\/(-4)) + 14\/(-28). Solve -5*t + 2*n + 7 = -0, -2*t + d = -2*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -3)*-10 - -1. Suppose 10*i - 105 = 7*i. Let y = i - j. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52625 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: Simplify ((3*sqrt(3024)*1)\/((sqrt(4200)*4)\/sqrt(6)))**2.\nAnswer: 243\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.26 - 9.26. Let y = 24 - 22. Put 7, v, y in decreasing order.\nAnswer: 7, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**6)**36*t*t\/(t\/((((t\/(t**(2\/3)\/t))\/t)\/t)\/t)*t)*t**(-2\/7)\/t)**(-7\/2) assuming t is positive.\nAnswer: t**(1921\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 3*p - 3, -3*a - 5*p = -65. Let k = a - 7. Is 11 a factor of k\/28 + 306\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 12*l + 19. Calculate j(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -283132930*-0.5\nAnswer: 141566465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1341.9 + -1400. Let m = h - -58. Which is the nearest to 3\/2? (a) -3 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**10\/2520 - 17*q**6\/60 - 37*q**3\/3 + 39. Let p(c) be the third derivative of t(c). Find the third derivative of p(d) wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19067\/6 - -3160. Calculate the common denominator of -73\/672 and j.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 300190, 300193, 300196?\n\"Answer: 3*f + 300187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 + 11*b**2 - 10*b. Suppose m - 22 = 3*m. Suppose w = 6*w - 10. Let a(f) = f**3 + 2*f**2 - 2*f. Determine m*a(k) + w*y(k).\nAnswer: k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.69611cm to micrometers.\nAnswer: 126961.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*z + 241 + 557 + 3284 + 334 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 11 + 104. Suppose -21 = 3*p + 3*f, -4*p - 4*f - f - a = 0. Let b be p\/(-14) - 36\/(-21). Solve 0*z - b = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905 by 8812.\nAnswer: 905\/8812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 84297 + -0.07\nAnswer: 84296.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3036 (base 11) to base 6.\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744145087.\nAnswer: 21491, 81157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*i + 3653 = 0, 0 = 2*z - 6*i + 3*i - 1457. Is z a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30455.\nAnswer: 5, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -20, w - 2 = -2*y + 4*w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 4*n**5 + 0*n**4 + 0*n**3 + 19 + 29\/2*n**2 + 0*n. Find the second derivative of i(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-6)\/(-6)))\/(11\/55*-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057) + sqrt(2057) + 2.\nAnswer: 1 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*n - 169*n - 166*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7070 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/2 + 18*p**4 + 21*p**3 - 18*p**2 - 39*p\/2 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 1. Let h be d(-2). Let w = 23 - h. Solve w = 5*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c + 0*c**3 - c**4 + 3\/2*c**2 - 4. Find the second derivative of i(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33579*-14.2.\nAnswer: 476821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*c + 90 = 0, 5*c - 2*c + 59 = 2*u. Let y = u + -18. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 84\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -59. Let b = -38 + z. Suppose 8 = b*f, s - f = -5*f + 40. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(6*(sqrt(1125) + 3*(sqrt(1125) + -2) - sqrt(1125))*-6)**2*4.\nAnswer: -1053492480 + 55987200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.88 - -13.97. Let c = -29 + 12. Let z = c - l. Round z to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d**7)\/(d\/((((d\/(d*d**(-4)))\/d)\/d*d)\/d*d*d)*d**(3\/5)*d) assuming d is positive.\nAnswer: d**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/7153 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83*1\/(-3 + 4) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*j**2 + 100*j - 100374 wrt j?\nAnswer: 366*j + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 3. Let y = 4 + -2. Let u be v(y). Let c = 1.2 - 0.2. Is u > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207 - -312. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*i + i - 18 = 3*j, 20*i - 23*i = -9*i + 3*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37592743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/30)\/(12\/(-27))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (37 - (42 - 63)) + -13\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - -1) - (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 2}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 - 3*h - 5. Let n be r(5). Solve 1 - 6 = d, 3*d = n*k - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, 1, 0.1, -2\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u + 120. Let f be b(12). Let k(o) = -757*o**2 + f*o + 755*o**2 + 0*o. Let i(h) = -168*h**2. Give i(k(c)).\nAnswer: -672*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -1\/24*b**4 + 2*b**2 + 0*b**3 + 0 + 94*b. Let u(h) be the second derivative of -19*h**4\/12 - 3*h. Calculate u(w(g)).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Let y(m) = 2*m + 6. Determine 12*t(l) + 2*y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -33 (b) -0.1 (c) -0.4 (d) -1 (e) 0 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(120\/50).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87407671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:15 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6 + 9. Suppose -9 + i = -w. Solve 5*l - w*z + 2 = 0, -l = l + 3*z - 13 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, -0.025, 1712?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -3*t, 3*p + 14743 = 2*t. Let s be -3*3*p\/(-18). Let a = -2409 - s. Calculate the common denominator of -63\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3802688 or -3802676?\nAnswer: -3802688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 13, -3, 5, 4, 8, 27 in descending order.\nAnswer: 27, 25, 13, 8, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010001 (base 2) to base 6\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/760*-9*145\/261\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 19*f**2 + 50*f - 28. Let w be i(16). Suppose -2 = -2*l + 8. Suppose -3*m + 2*m = -l. Solve 0 = x - m*g - 5, 3 = -w*x - x - 3*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-4)\/(-8)*2. Is ((-213)\/6 - 0)*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 1:28 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 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: What is the nearest to 1\/3 in 4\/27, -2, 1?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3*w**3 + w**3 - 3*w**3 + w**2. Let h be u(-2). Let d = 6 - h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199032378.\nAnswer: 2, 3, 3701, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 5*c, -3*q + 5*c - 4 = 0. Suppose 5*l - q*d = -11, 0 = -2*l - 2*d + 2 + 2. Let u be -6*l*(1 - 0). Solve -2*p + 5*p = u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1752\/565 + 34\/113. Let z be -4*-1*(-2 - -1). Which is greater: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22604\/(-22))\/((-26)\/143). Is 5651 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v - 91 = -7*w, 2*w - v - 35 = 0. Suppose -w = -j - 4*g, g + 4 - 7 = 0. What is the smallest common multiple of 4 and 68\/3 + j\/(-9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) 2 (b) -4\/7 (c) 0.03 (d) 1 (e) 1681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871061619 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 1 + 1823*i - 611*i + i**2 - 707*i)*(0*i - 3*i + 2*i) to the form o*i**2 + f + k*i**3 + a*i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let a(z) be the second derivative of 0*z**3 + 0 + 0*z**2 - 1\/6*z**4 - 25*z. Determine a(f(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 50\/(-80)*-8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 81 = -4*z, -z + 409 = 7*y - 3*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-255)\/(-60) - (-6)\/8. Suppose 2*c - q + 2 = 0, 0 = u*c - 3*q - q + 8. Which is bigger: -6\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 23*b + 46*b - 962 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37, -257 in ascending order.\nAnswer: -257, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -2 + 42 + -111\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12298 + -12273.4. What is the third biggest value in -0.1, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Solve 3*t = -a - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g + 430*g - 125*g - 133*g.\nAnswer: 65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38932 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*l**2*z**3 - 5*g**3*l**2 + 2*g**3*l*z + 2*g**3 - 99*g*l**2*z**3 - 3*z**3 + 252*z**2 wrt z?\nAnswer: -6*g**3*l**2 - 594*g*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, u: 13}. What is prob of picking 1 d and 1 u?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -6 + 1*-15 + -2. What is the smallest common multiple of (-466)\/g - (-14)\/(-49) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/6 + a**3\/3 + 4*a. Factor d(x).\nAnswer: -2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.01946, 0.1, 15.5?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364734 is divided by 1092.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(2) + sqrt(25))*2)\/(sqrt(45)*3 - sqrt(5)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.969 rounded to one decimal place?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/15*36\/30. Suppose -m*f + 196 = 4*i, -i - 14*f + 49 = -12*f. What is the remainder when i is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -44455?\nAnswer: -2\/44455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304808 and 6832.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -1 - 2 - -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -58*q**3 - 15*q**2 + 17*q + 9. Let s(i) = -21*i**3 - 5*i**2 + 6*i + 3. Give -6*n(p) + 17*s(p).\nAnswer: -9*p**3 + 5*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.628 times 0.1\nAnswer: -0.0628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + p + 0*p + 9 = 0, 15 = -2*g - 3*p. Let o be (-58)\/g - (-1)\/6. What is the second derivative of -17*t**o + t + 23*t**5 + 4*t wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let i = -6 - -20. Let v = -14.3 + i. Which is the third smallest value? (a) 3 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/101, 6, 5, 0, 1.69?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q + 191*q - 48*q in the form b + x*q and give x.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219268598, 219268596, 219268594, 219268592, 219268590?\nAnswer: 219268588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -460004.0073 + 6.0073. Let x = 460037.0027 + c. Let z = -39 + x. What is z rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 44804*y - 13 = -6*v + 44805*y, 10*v - 5*y = 105 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115913*o - 115895*o + 579530*o - 115900*o - 115909*o - 115912*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/60)\/(-3))\/(12\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 0*x - 4*x)*(-1 + 3 - 1)*(-12 - 23 - 30) as h + u*x and give u.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 979938 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125010 = 377*c + 7386. Calculate the remainder when 1255 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0*x - x - 6 + 0*x + 13. Let b be h(6). Solve 3*n + 6*a = 3*a + 15, b = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000608021 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -760, 0 in descending order.\nAnswer: 2, 0, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-9) - 6\/27. Suppose t*a - a - 5*c = 8, -5*a - 4*c = -11. Suppose -a*i - 20 = -8*i. Solve -i*o + 25 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13209135067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1977 and 7847372.\nAnswer: 23542116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153883 is divided by 51291.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:58 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1)\/sqrt(5))\/sqrt(11).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 57 + 1. Let p = -250\/9 - h. Which is the closest to p? (a) -0.4 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3652 and 1396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/78 and 35\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.033 - 0.067. Which is the biggest value? (a) -2\/7 (b) -0.3 (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -65814 and -749238.\nAnswer: -815052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 455\/4. Let k = 5.2 + -1.2. Which is the closest to 1? (a) j (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -71 + ((-9)\/6)\/((-4)\/(-8)). Let j = -70 - h. Let m(n) = 3*n**3 - j*n**3 + 0*n**2 - 493*n - 4 - 5*n**2 + 486*n. What is m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17009 + -51007\/3. Let i(c) be the second derivative of -35\/2*c**2 + 0 + b*c**3 - 37*c. Find the first derivative of i(a) wrt a.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -2697?\nAnswer: 40\/2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 + 10.71. Let p = r - 2. Let f = -621 + 3102\/5. Which is the second biggest value? (a) f (b) 3 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 * -37180105\nAnswer: -167310472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - -1) + -5 + 0 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2287 - 1726 - 945)*(-6*h + 2*h + 3*h).\nAnswer: 4958*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdfpuepppfdppf. What is prob of picking 1 e and 2 f?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cekkqeccececcfecm. Give prob of picking 1 c and 1 k.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*s**2 - 2948*s + 1479*s + 1471*s + 83*s**2.\nAnswer: 15*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*z = 13, -3*m + z = -m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - t + 64 = 0. Factor -33*g**2 + 102*g**3 - 26*g**2 - 3*g**5 - 30 - 109*g**2 - t*g**4 + 117*g - 10*g**4.\nAnswer: -3*(g - 1)**4*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jozozopspztz. Give prob of sequence tsj.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18 + (-744)\/(-48))*12\/(-5) and 682.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13229272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 2*p + 24 = 0, 4*l = -p + 63. Suppose -4*v + 10 + 351 = 5*f, -3*f = -15. What is the lowest common multiple of v and l?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) + (-7616)\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -481545, 1 in increasing order.\nAnswer: -481545, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/9 - 32*k**3\/9 - 188*k**2\/9 - 160*k\/3 - 50.\nAnswer: -2*(k + 3)**2*(k + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 10\/7, 2, -1, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*l + 11, 8*l - 4*l = 2*f - 10. Let i = l + 6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24830 is divided by 605?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 k when three letters picked without replacement from smotnkkms.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.18 (b) 2 (c) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 16*s**2 + 35*s + 11. Determine v(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 491 and 6.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 16*y + 20. Let v be n(-15). Suppose 0 = v*u - 4*i - 27, 18 = 4*u - 3*i - 2*i. Solve -11 + 12*a**2 - 8 + 32*a + u = 0.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20979, 41984, 62993, 84006, 105023, 126044?\n\"Answer: 2*p**2 + 20999*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. What is the second smallest value in 3, 5, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/3*-3*(-4)\/10. Let q = 4 + i. Let x(p) = 8*p - 33. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.06 + 19.36. Let h = -2.04 + 0.04. What is the closest to h in z, 80, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -219, -438, -657?\n\"Answer: -219*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512*k + 41536 = -214*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a - e?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/61, -1, -183, 24\/5, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uti when three letters picked without replacement from {j: 1, i: 8, u: 1, t: 3, h: 3, e: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1512? (a) -2\/9 (b) 1 (c) 3 (d) -1 (e) 147 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - i + 3*i)*(0*i**2 - 5*i**2 + 3*i**2) - 53 - 4*i**3 + 52 + 15*i**3.\nAnswer: 15*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 4*q**2 + 6*q + 3. Let w(p) = p**3 - p**2 - p. What is n(y) + 6*w(y)?\nAnswer: 2*y**3 - 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 3. Let j be n(-3). Let t = j - -45. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 210, 207, 204?\n\"Answer: -3*o + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 9*b**2 - 5*b**2 + 2*b**2 - 3 + 3 + (2 - 2 - 1)*(b**2 - b + b) + (b**2 - 5*b**2 + 2*b**2)*(1 + 2 - 1) + 4*b**2 - 3*b**2 + 8*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1253, -1251, -1239, -1211, -1161?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 53*h - 33*h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 15)\/((-1)\/70). Let c be ((-4)\/10)\/((-8)\/i). Solve 3*u + 8 = c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, u: 4, v: 4}. What is prob of picking 3 v and 1 k?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 284833, 569840, 854845, 1139848, 1424849?\n\"Answer: -a**2 + 285010*a - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 43 = -2*s + 67, 0 = 3*s. Let d(q) = 21*q**2 - 2*q - 1. What is the remainder when d(-1) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 4. Calculate r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81344 and 2214.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1665 and 5313120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -930.7 - -66.\nAnswer: -864.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(315\/28)*(-535)\/(-107)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 108*u**5\/5 - 586*u**2 + 251*u. Differentiate a(q) with respect to q.\nAnswer: 1296*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+54234892930.46\nAnswer: 54234892930.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17632 and 3584.\nAnswer: 1974784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*x**4 + 275 - 275)*(1 - 3 + 3)*(1 - 5 + 2).\nAnswer: 118*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 12\/5 (c) 0 (d) 3\/5 (e) 413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370 + -372. Let c(r) = -2*r + 29. Let b be c(13). Sort b, p, 1, 0 in ascending order.\nAnswer: p, 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3630361257?\nAnswer: 3, 191, 271, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-126) - 4\/(-70).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 27*v = -3*w + 67, -5*v = 3*w - 172. Solve -v*g + 80 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*b + 22 = 0, i - 6*i + 4*b = 10. Suppose i*p - 47 = 23. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 9)\/(-5) - (-40)\/5. Solve 0 = 2*q - 8, -f*x + 3*q = -6*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {u: 5, l: 2, y: 3, c: 3, e: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-18)*3*3*4. Put 4, 2, h in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/b*b**(4\/9)*b)\/(b\/(b\/b**(-3))*b**(2\/7)*b*b)*(b\/b**(-7)*b*b\/(b**(-2\/3)*b))**7 assuming b is positive.\nAnswer: b**(17407\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -3. Suppose -r = p - 325. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let f = 573 - 167. Let w(a) = -195*a + 1 - 2 + f*a - 95*a. What is w(k(n))?\nAnswer: 232*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17*(-1)\/(2 + -1). What are the prime factors of z*(-3 + 4)*1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 66120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**4*x + 17*l**4 + 13*l**3*x - 626*l**3 + 127124*l**2 - 4*x wrt l.\nAnswer: -96*l*x + 408*l + 78*x - 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 708876601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876442295.\nAnswer: 5, 109, 157, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 - 98\/84\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426591562 to the power of 1\/3, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:35 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 421441.65 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.7 + -82. Let h = -1896 - -7585\/4. Sort h, -3, z in decreasing order.\nAnswer: h, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353569?\nAnswer: 131, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koo when three letters picked without replacement from okoo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 502 - 544 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 + 33084*x**2 + 35409177*x + 9058626090 = 0.\nAnswer: -501, 12030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**3 - 3*p + 5. Let q be 1\/(-2) - 25\/(-40)*-4. Let s(u) = 2*u**3 + u**2 + 4*u - 5. Let b(o) = q*n(o) - 4*s(o). Determine b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 3*f + 15, 0 = -5*f + t + 1 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*o + 405094*m**3 + 2*m - 168938*o**4 wrt o?\nAnswer: -m**3 - 675752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 12. Let c be (-14 - -3)*-1 + k\/(-1). Suppose 5*o - 9*o = c. Put 1, 5, o in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -23*m - 4. What is the tens digit of g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**6\/60 - m**5\/4 - 3*m**4\/8 + 69*m. Solve r(s) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19\/16 + -5\/16. Find the common denominator of -61\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let t(v) = 3*v. Let m be t(o). Factor 0*r**4 - 6*r**4 + 5*r**3 - 3*r**m.\nAnswer: -2*r**3*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**5 - 4*a**4*v**2 - 2*a**2*v + 6*v**2 wrt a?\nAnswer: -600*a**2 - 96*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 12618617.1756799.\nAnswer: 12618616.9756799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12110012001002 (base 3) to base 16\nAnswer: 2c34b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7304636.3253 minus -4?\nAnswer: -7304632.3253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -14\nAnswer: -23\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 25. Let k be (1\/(-2))\/((-2)\/124). Let f = k + s. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.00086 - 78. Let o = 0.033 + -0.035. Let n = o + h. What is n rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -72*w**2 - 31*w - 7. Let a(o) = -o**2 - 5*o. Let d(l) = 4*a(l) - f(l). Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 + (2 - -3 - 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a + 3*n - 306 = 0, 5*a = -3*n + 1494. Suppose 4*f = -h + 4 + 73, -4*h - 5*f = -a. Suppose 3*k - h + 1 = 0. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*m - 133*m + 186 = 30*g, 2*g - 2*m = 197 - 179 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4114, -8406, -12698?\n\"Answer: -4292*y + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39f (base 16) to base 12.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -596.9.\nAnswer: 59.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 + 17*s**2 - 194.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.2. Let m = 5 + -1. Which is the nearest to -1? (a) 0.3 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5440129 to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5090 is divided by 570.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 + 326 + 2*y**3 + 12*y - 9*y**3 - 9*y**3 + 116*y**2 + 4*y**3 - 438 = 0. What is y?\nAnswer: -7, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 44\/24 - 2)\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-7 - -2)*2. Let l = -10 + n. Is l at least as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 54671484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 50 = 6. Suppose -i - g + 30 = 0. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204*s + 160 - 52*s - 66*s - 81*s to the form j*s + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 20*p + 11*p - 159 = 5*p, -2*p = 12*u + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, 50, 5, 2197, 2.\nAnswer: -4, -1, 2, 4, 5, 50, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiiig. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:58 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 - 15.509. Let u = -15 - m. Suppose -4*k + 2*r = -6, -4*k - 5*r = -2*k + 27. Which is the nearest to k? (a) -1\/2 (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 39. Suppose 2*q - d = -3*q. Suppose -5*g + 230 = -s, q*s - 3*s + 46 = g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -1111011100?\nAnswer: 1111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 + -297. Solve -56*u - 5 = -f*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 216 = -2*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.4. Let d = 0.8 - o. Let s = 1.4 - d. Is s greater than or equal to 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 45344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(320))**2*2 - -3*(2*sqrt(320))**2).\nAnswer: -160*sqrt(5) + 22410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -601 + 313 - j**2 + 299. Let g be u(3). Solve w - 9 = g*q + 1, -q = -3*w + 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 58. Suppose 4*m = -16, o + o + n*m = 20. Let a be 10*(o\/(-8) + 3). Solve z - a*q = -3*q - 7, 3*q - 3 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 1. Let k(z) = 2*z**2 + 2*z - 2. Let f be k(-2). Suppose -5*x = -0*x + 5*w + 20, f*x - 5*w - 13 = 0. What is the units digit of c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-1) - 0\/1. Let q = -3 + w. Suppose 0 = o - 2*s - 7, q*s - 4*s + 59 = 5*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1408 + -0.7438. Let p = 0.703 + q. Is -14\/3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Let w = -9.953 + 10.453. What is the fourth smallest value in k, w, -0.3, -1.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 128490442596?\nAnswer: 128490442598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/522 and -75\/58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*((sqrt(448) + -2)*5 + 0))**2*5*-5.\nAnswer: -1130000 + 80000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 749 + 779 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 177, 220, 265, 312?\n\"Answer: a**2 + 40*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651831.\nAnswer: 3, 17, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 68*v + 5. Let w be j(0). Suppose -5*i - 3*m = -5155, -w*i + 9*m = 5*m - 5155. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 175. Suppose -104*u + l*u = -70. Calculate the greatest common divisor of 378 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -996 + 997. What is the fourth smallest value in -0.4, -127, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 3*g**2 - 44 + 47 + 2*g**2 to m*g**3 + j*g**2 + n + v*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 46 (b) 5 (c) 374 (d) -0.06 (e) 4 (f) -1 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26431387 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 561 - 261. Calculate the remainder when t is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2075 = -2053 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28940281.\nAnswer: 157, 184333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-3) - 2\/(-3). Let x(p) = -2*p**3 - 20*p**2 - 38*p + 54. Let j be x(-7). Sort j, 4, v in ascending order.\nAnswer: v, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 minus 8.7406512?\nAnswer: -8.5906512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2b2a (base 15) to base 2\nAnswer: -10010000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/1191, 5, 540, 0.5?\nAnswer: -2\/1191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52791713789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r**2 - r + 1. Let y be q(1). Suppose 0*f + 3*f - y = 0. Let o be -2*1\/(-2) + -1. Solve o*u + 15 = f*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56513, 56681, 56849?\n\"Answer: 168*b + 56345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17\/4 - 1\/4. Suppose v - 3*x = -4*x + 7, -4*v = -d*x - 12. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/20 - 9*r**2 - 4. Let g(l) = -l**2 + 8*l. Give t(g(c)).\nAnswer: 3*c**4 - 48*c**3 + 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -36. What is the tens digit of (6 - 3) + 57 + u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -58, -1\/32, 13861 in ascending order.\nAnswer: -58, -5, -1\/32, 13861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:16 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 - 158. Suppose -x + 94 = 4*d, -3*d - 3*x = -5 - o. Find the second derivative of 6*t**2 + 83*t - 174*t + 79*t + d*t**2 wrt t.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12521 (base 6) to base 11.\nAnswer: -1497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1009, -2019, -3029, -4039, -5049, -6059?\n\"Answer: -1010*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 781296 * 0.04\nAnswer: 31251.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*p - 3*y - 5, -3*y - 14 = p. Let r be (-68)\/(-6) + p\/(-3). Suppose -3*f + r = 2. Let a(m) = 3*m. Calculate a(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-10 + -1 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 1, -34, -79, -134, -199?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + -1 + -13 + 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 - 98 = 93*n + n. Which is the nearest to 2\/5? (a) -81 (b) 2\/3 (c) n (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - (1 - 2))) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 - 215.4. Let z = 1411\/14 + -201\/2. Which is the nearest to 0.2? (a) y (b) -0.6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v. Suppose -498 = -12*l + 174. Suppose v = -4*k + 60 + l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m - 66. Let l be h(-4). Let p(k) = -109*k**2 + 81*k**l + 71*k**2. Let y(d) = -2*d**2. Determine p(y(t)).\nAnswer: 172*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6262337, -6262336, -6262335, -6262334, -6262333?\n\"Answer: k - 6262338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 2*b. Let l(w) = -3 - 6*w + 1 - w**2 + b. Determine l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 11*l + 261 = 0. What is the greatest common factor of 2 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 26 + -11 + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (-23 - (-3 + -12)) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9044 * -0.49\nAnswer: -4431.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmww when four letters picked without replacement from wwumzumz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 + 7*h**2 - 4*h**2 - h**2. Let q(f) = -2*f - 132*f**2 + 137*f**2 + 2*f. Give q(x(d)).\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}