diff --git "a/data/dm_maths/full_data_2/1894_11255.jsonl" "b/data/dm_maths/full_data_2/1894_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1894_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(g) = 4 - 2*g - 6*g**2 - 43*g**3 + 44*g**3 + 10. Let z be m(6). Solve 3*q = 2*q - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16))\/((-2)\/(-88)) + (8 - (-12055)\/(-635))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2110965 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:21 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(12) + (sqrt(12) - 4*sqrt(12))))\/(-1*-3*sqrt(4)))**2*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 6*c + 25 + 6*c.\nAnswer: -c**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106, -87, -70, -55, -42, -31?\n\"Answer: -f**2 + 22*f - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2662562454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*p**6 - 48*p**6 - 702*p**6 - 308*p**6 - 352*p**6 + 2366*p**2 wrt p?\nAnswer: -164760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v = 4*t - 8, 5*t + v - 10 = 0. Suppose -t*x + 19890 = 208. Let h = x + -6541. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(19\/3)*(w**(-26)*w)\/w*(w**(-36))**35 assuming w is positive.\nAnswer: w**(-3839\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 32985 = -82*u. Let o = -1249 + u. Is 50 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than 1790?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + (-1)\/(-1). Let w be (-4)\/(-12)*-3*(-13 + i). Solve -k - 2*k = -w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 8*q**2 - 3*q - 29. Let j be v(-8). Let g be 7\/j*(7 + 3598\/(-490)). Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*g - 2*g + 65 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 5}. Give prob of picking 1 l and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 0)\/(39\/6 - (128\/(-16) + 7))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 181 and 0.096881?\nAnswer: 17.535461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56458 (base 9) in base 2?\nAnswer: -1001001010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 290 and -2.222?\nAnswer: -644.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16195 - -16195. Is q < -6\/2131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {w: 8, b: 4, q: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -56. Let w = 38 + q. Solve 4*h + v + w = 0, 0 = -2*h + 6*h + 3*v + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1318 in ascending order.\nAnswer: -2, -1, 1318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2085, 2088, 2087, 2076, 2049?\nAnswer: 2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose 2*q - 3*q + 9 = m. Solve 5*k - 10 = 5*s, -s + 4*s - q = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*c + 13, 0 = -5*d + 3*d - 2*c + 8. Let l = 3 + d. Let t be (144\/20)\/((-6)\/(-20)). Solve -4*f - 4*q = t, 5*q = l*f - 0*f - 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 196909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + c**3 - 3*c**3 + 31)*((c + 3*c - 5*c)*(0 - 11 + 2) + (4 - 1 - 1)*(7*c + c + c)) to the form q*c**4 + f*c**3 + n*c**2 + o*c + i and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o - 2. Let v be s(-5). Let z = 1 - -3. Let b = 8 - 4. Solve z*w - j + b = -v*j, -w + 3*j = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 24768215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -46*x + 27*x. Let b(y) = y + 11. Let w be b(-7). Solve 0 = -2*p - 2*p - 5*g - 10, 0 = 5*p - w*g - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 + o + 1. Let l be s(3). Suppose -l*f = -4*j + 92, 4*j - 100 - 37 = -5*f. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123120004 (base 5) to base 15\nAnswer: -bc354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23495 is divided by 181.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 318. Let w(f) = -f - 30. Let a(r) = 6. What is i*a(j) - 6*w(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzlqhpghhlp. Give prob of sequence lzzq.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1418.454 and 4.168373?\nAnswer: 1414.285627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(245))**2 - (-1 + sqrt(125) + -5).\nAnswer: -5*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 9) to base 7\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 23. Let d = 4 - h. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 18. Let y(u) = -12*u**2. Let x be y(-1). Let g = -7 - x. Put g, c, -2\/7 in increasing order.\nAnswer: -2\/7, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2 - z - 4. Let h be a(0). Sort -20, -3, h.\nAnswer: -20, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -18*h + 17*h - 19, 5*h + 4*t - 25 = 0. What is the closest to -1\/2 in 8, h, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 6846*y**3 + 14369*y**3 - 2*y - 7529*y**3 - y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - (-10 - (5 - 6 - 4))) + 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 31 = 2*d - 22, 25 = 5*d + 2*t. Let w(h) = -28*h**2 - 3*h + 3. Let l(y) = 27*y**2 + 2*y - 2. Give d*l(x) + 2*w(x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 60230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let s = -20 - -24. Which is the second biggest value? (a) 2\/13 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4702472627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2640 by 1.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 i when four letters picked without replacement from {p: 9, a: 1, i: 9}?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 457 (b) -9\/10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3514934516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -6. Let k(p) = 4 + r - 6 - 3*p. Let v(h) = -2*h + 5. Calculate 5*k(z) - 8*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 - 2 = 0. Suppose -5*p - 22 = -q. Let g be (-8)\/(-12) - p\/(-6). Do g and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdppzpgzpgpppp. What is prob of picking 1 z and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (12 + -23 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 17. Suppose 2*w - 10 = 2*z, -55*w = -50*w - 15. Let o be d(z). Solve -3*f = -r - 15, 0*r + 3 = -3*f - o*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(175) - sqrt(7)) - (-2*sqrt(35))\/sqrt(5)) + -3)**2.\nAnswer: -96*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -293058000 rounded to the nearest 1000000?\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 2*o - 2*o - 202*o**2.\nAnswer: -202*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 100 in ascending order.\nAnswer: 4, 13, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**7\/36 - q**6\/720 + q**5\/120 - 3*q**4\/4 - 7*q. Let a(b) be the third derivative of y(b). List the prime factors of a(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q - 2*q + 4*q)*(6*q - 3*q - 5*q)*(-4 + 3 - 1) to the form c*q + f*q**2 + x and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/408 - (3 + (-33)\/9))\/1.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212062994.\nAnswer: 2, 11, 13, 741479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11243364 and 22572.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t - 3. Let p(s) = s + 1. Calculate -2*h(n) - 6*p(n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/4 - 93*k - 2808 = 0. What is k?\nAnswer: -72, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 9*d + 2*d. Suppose f - 2*h + 1 = 23, d*f - 2*h = 50. What is the common denominator of 127\/6 and (-25)\/(-24) - 14\/f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 9. Let m(u) = u**2 - 11*u + 13. Let p be m(10). Solve -2*n - 25 = 3*n, p*c = x*n + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-14)*(-2)\/12\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.437296 litres?\nAnswer: 2437.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 324, 2657, 8996, 21345, 41708, 72089, 114492?\n\"Answer: 334*o**3 - o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 20, 79, 192, 377?\n\"Answer: 3*t**3 + 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139616 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: Let w = 7.436 + -15.434. Let o = w + 8. Let l = 0 - o. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 5*c**2 + 8*c. Let q be (4\/5)\/(6\/45). Let p be l(q). Suppose 3*r + p = -3. Put r, 4, 1 in ascending order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:56 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455*r = -1441*r - 644. Solve 90 = -11*y + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + q + 11, 5 = -2*b - 47*q + 46*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z*z*z\/(z*z**(-2\/27)\/z*z)*z)\/z)*z))\/(z\/((z**(-1\/3)\/z)\/z*z)))\/(z**(3\/14)\/z)**(-3))**(-3) assuming z is positive.\nAnswer: z**(1367\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*a + 18300, 5*w + 89*a - 45800 = 84*a. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 = 4*t - 27 - 7, 4*x - 4 = -5*t + 3*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 6*u**2 + 0*u**3 + 2 - 8*u + u**3. Let a be g(8). Suppose 126 = 4*h - 3*d, -a*h - 3*d = -59 + 5. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 10 = -5*n - 3*p, 5*p = -2*n + 4. Let j be 32\/66 + 4\/22. Is n != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15)*d*(d*d**(-24)*d*d)\/d*d*d assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhh. What is prob of picking 3 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61860 (b) 0.03 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + -102?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 19 + -10 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 14*p**2 + 19*p + 2. Does 7 divide s(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -u - 209. Solve u + 11 = 6*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3\/15 + 8*t**2\/5 - 126. Factor o(r).\nAnswer: -r*(r - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 4:27 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 11. Let h be f(16). Let p = -88 + h. Let j be (14\/p)\/((-4)\/10). Solve -a + j = -2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**6\/39 + 6*o**5\/65 - 5*o**4\/13 - 8*o**3\/13 + 8*o**2\/13 + 151. Suppose h(a) = 0. What is a?\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k + t, 8 = 4*k + 2*t + 3*t. Let u(s) = s**2 - 3*s + 6. Let q be u(2). Suppose -2*n - 2*z + 60 = k*z, q*n + 4*z - 124 = 0. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554809 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1197*z - 105. Let d(w) = -46*w - 4. Let v(r) = -105*d(r) + 4*y(r). Let u be v(3). Suppose -u = -6*s + 3*s. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*p + 4*v, 2*p - 6*v + v - 28 = 0. Let n be 3 - p\/(-45)*-6. Which is the biggest value? (a) -4\/7 (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 + -22135185.\nAnswer: -22135137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 21*k - 34. Let m be l(-23). Find the second derivative of 14 - 15 + 26*j**3 + m*j + 1 wrt j.\nAnswer: 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245655*m - 1245659*m - 2*m**3 + 2491314*m + 14*m**3 + 5*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by -296.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -t - 6 + 2, -b - 16 = -5*t. Suppose -29 + 4 = -5*o. Suppose -f + 2*x - 3 = -t, -o*f = -x - 41. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2. Let s(n) = -n**2 - 10*n - 5. Let j be s(-9). List the prime factors of m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 + 2*p - 9. Let n(y) = -3*y**2 + 4*y - 1. Let g be n(2). Let b be o(g). Suppose 5*i + b = 591. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, j: 2, u: 1, b: 1, l: 8}. What is prob of sequence ssuj?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/36 and -40\/17.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/80579 - 4270099\/23690226. Calculate the common denominator of q and -76\/129.\nAnswer: 12642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533073 is divided by 7615?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 45. Suppose 6 - q = -4*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 2\/9 (c) -86 (d) 144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 - 253*i**2 - 91*i - 180. Give n(32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4199*l**2 + 28*l + 21. What are the prime factors of m(3)?\nAnswer: 2, 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 0?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 3*m + 2. Let l be y(-5). Let q = l + -29. Suppose 6*j - 2*j = q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 - 2*f**2 - 16*f - 5*f**2 + 4.\nAnswer: f**2 - 16*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -17*z**5\/60 + 145*z**3\/3 + z**2 + 31*z. Find the first derivative of b(l) wrt l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.041 - -46.959. What is the third biggest value in 3\/4, z, 4\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115963881 to the power of 1\/2, to the nearest integer?\nAnswer: 10769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 5, p: 8}. Give prob of sequence ippp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21105879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 350*j**5\/13 + 110080*j**4\/13 + 195876*j**3\/13 - 354240*j**2\/13 + 118206*j\/13 = 0.\nAnswer: -2189\/7, -3, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-6) - 4\/12. Suppose 0 = d*r - 5*r + 38. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - -3*sqrt(192)*-3)\/(3*sqrt(324)*-1))**2.\nAnswer: 1024\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619 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: Solve -85*s + 238 = 77*s + 42*s - 221*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/161)\/(48\/(-168))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-4)*n*n**(1\/6)*n**(1\/2)\/((n\/n**(-4\/7))\/n))**40 assuming n is positive.\nAnswer: n**(5960\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*i = -0*t - 6, -13 = -3*t - 5*i. Suppose -o - 2*f - t = 0, 4*o - 4*f - 3 = -5*f. Which is the nearest to o? (a) -3 (b) -1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/9 + 1256*c**3\/3 - 121786*c**2\/9 - 234460*c\/3 = 0?\nAnswer: -5, 0, 38, 1851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48755 and 597?\nAnswer: 146265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 - -115. Let u(z) = -77*z**3 - z**2 - z. Let q be u(-1). Find the first derivative of -73*y**2 + 3 + q*y**b + 8 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 1\/12*d**4 + 0*d - 2*d**2 + 0 - 1\/2*d**3. Calculate s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3774*j**4 + 1171*j**3 + 104174258*j**2 wrt j?\nAnswer: 90576*j + 7026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.23 - 0.77. Let p = q - -15. Which is smaller: -0.3 or p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8*v - 9*v = 4, -4*r + 4*v = 0. Which is the biggest value? (a) 4 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**7\/28 + p**6\/10 - p**4\/4 + p**3\/4 - 6*p. Determine i so that b(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53831 and 12589.\nAnswer: 66420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/864*(-2904738)\/4. Let i = 13449 - g. Calculate the common denominator of -5\/12 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 20*a**2 + 69*a - 7. Let d(o) = -o**3 + 4*o**2 + o + 2. Let t(h) = 6*d(h) + i(h). Find the second derivative of t(f) wrt f.\nAnswer: -42*f + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103043 + -343?\nAnswer: -103441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/7 - 270798*g**3\/7 - 12244857264*g**2\/7 - 185938685426304*g\/7 - 46622624686801920\/7.\nAnswer: -2*(g + 255)*(g + 45048)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17126\/6 + 12\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 909 - 910. Which is the third biggest value? (a) j (b) 1 (c) 0.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**(-2\/11)\/(x\/(x*(x**(-1\/3)\/x)\/x))**(2\/23) assuming x is positive.\nAnswer: x**(-430\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 24, 0.5 in decreasing order.\nAnswer: 24, 16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**4\/12 + k**2\/2 - 8*k. Let a(m) = -4*m**2 + 6. Let y(p) = a(p) + 3*t(p). What is y(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22454 divided by 2?\nAnswer: -11227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 4*k - 8. List the prime factors of 154\/(-5)*k\/14.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174952.98 hours in days?\nAnswer: 7289.7075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3731 + 3797. Calculate the remainder when r is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-21)\/(-15) - 1). Suppose w*f = -3*f - 4*a + 163, 4*a = -3*f + 93. Is 20 a factor of 3350\/f - (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 155\/2. Let p = -243 - -353. Suppose -2*k = -24*k - p. Put k, w, -3, 1 in descending order.\nAnswer: w, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -57, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 10.86. Let u = 9.6 - 28.5. Let g = d - u. Which is greater: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w + 2*a, 5*w = -3*a + 10 + 9. Solve q = w*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + (-82 - -15 - -46).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 - -0.18. Which is the third biggest value? (a) 0 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = o, -2*i - 8 = -5*o - 20. Let p(c) = -2*c + 3*c + 4*c**2 + 2 - i. Let v(u) = -5*u**2 - 2*u - 1. Give 3*p(j) + 2*v(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 + 2*(-3)\/(-2) and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -146*y**3 - 1. Let b be c(-1). Let z = -57 + b. Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111000?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(-14)\/((b**1\/b)\/b)**(-47))**6 assuming b is positive.\nAnswer: b**(-303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 3*a**2 + 4*a - 10. Calculate t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 4*t + 3, -3*c + 4*t - 27 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - n**4 + 3*n**3)*(n - 3*n + 0*n) + 3*n**5 + n**5 - 3*n**5 + 3*n**5 - 3*n**5 + n**5 + 687*n**5 + 980*n**5 - 367*n**5.\nAnswer: 1304*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1056\/160*5\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000868 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 times 361.77?\nAnswer: 59330.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13535240?\nAnswer: 2, 5, 523, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 215420*o**2 - 2320288820*o.\nAnswer: -5*o*(o + 21542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -5382.836?\nAnswer: 5382.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-6712 + 6712 + 468*p)*(6 - 2 - 3) to l + y*p and give y.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16714*q + 99985. What is f(6)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2776*p + 1294*p - 5583*p)*(4 - 4 - 2*p**2)*(p - 2*p - 2*p) to the form d*p**3 + z*p + v*p**2 + x*p**4 + b and give x.\nAnswer: -42390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -31. Let y be ((-3)\/5)\/((-1)\/p). Suppose 2*r = c + 154 - y, c + 271 = 4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t**2 + 4*t - 10. Let c(g) = -g**2 + 1. Let m(w) = -6*c(w) - v(w). Let i(r) = -9*r**2 - 5*r + 5. Determine 4*i(k) - 5*m(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11179 times -12?\nAnswer: -134148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 0 + 16 + 30 - 3*m**3.\nAnswer: -3*m**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-376)\/141 - (-20)\/(-15))*(3 + -8 - -25).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63370 + 38632 = 217*z for z.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 11*u**2 - 8*u + 7. Let k be z(12). Suppose 0 = -2*j + v + k, 4*j - 6*j + 40 = 2*v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:56 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r\/r**(-2\/5))*r)\/r)**(-1\/4)*(r**(-3\/8))**(-20\/3) assuming r is positive.\nAnswer: r**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110122002 (base 3) to base 5\nAnswer: -243314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + 1)\/(3\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.12 + -0.12. Let a = -2965 + 2970. What is the nearest to -1 in k, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -97.6. Let f = -95 + q. Let o = 5.9 + -0.9. Which is the nearest to f? (a) o (b) -2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5. Let g = -7 - -4. Let s(w) = 2. Let d(p) = g*q(p) + 8*s(p). Let x(r) = -2*r + 4*r - 4*r + 4. Calculate -3*d(b) + x(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2946\/(-15) - 6\/10. Let s be ((-21)\/6 - -3)*(b - -5). Let d(k) = -s*k + 50*k + 44*k. Let p(n) = -n**2 - 17. Determine d(p(j)).\nAnswer: 2*j**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0338771 to four dps.\nAnswer: -0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) 0 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1052, -6521, -16422, -30755, -49520, -72717?\n\"Answer: -2216*f**2 + 1179*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -1152, -1765, -2372, -2973, -3568?\nAnswer: -4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*c + 16, -2467*c + 2469*c - 8 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**0\/(t\/t**(2\/5)*t**(-7)\/t) assuming t is positive.\nAnswer: t**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, -2, -3, -10, 0.2, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 1039*m**2 + 3216*m - 4415646. Calculate n(1038).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -52\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 6) to base 10.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(500) - 2*sqrt(500) - sqrt(500)))**2 + (sqrt(144) - (-4*sqrt(144) + sqrt(144)))\/sqrt(12).\nAnswer: 3\/400 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590 divided by 3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 2, f: 4, w: 1}. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4 - 25 = 0. Let b be ((-2)\/i)\/((-20)\/30) + 3. Solve 2*q + 12 = 2*t, -4*q - 22 + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + f**4\/24 + f**3\/6 + 181*f**2. Let c(j) = 7*j**2 + 4*j. Determine -c(a) + 4*t(a).\nAnswer: -3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 2\/9, -0.05, -2\/13.\nAnswer: -4, -2\/13, -0.1, -0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 - 2*i + 2. Let n be u(3). Suppose -3*h - n = 16. Let d(t) = t + 15. What is the units digit of d(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p - 45. What is d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*s + 11*n**2 - 3*n*s**3 + 566*s - 25 wrt s.\nAnswer: -n**2 - 9*n*s**2 + 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.87 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0 - 108 = -3*q, -5*q + 130 = 5*d. Let y = q - 21. Let b = y - 4. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 5:52 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-12)*105\/(-245)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 11 = -5*d, 3*v + 2*d + 182 = 165 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 197550703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 830, 854, 900, 974, 1082, 1230, 1424, 1670?\n\"Answer: n**3 + 5*n**2 + 2*n + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (260\/(-65))\/(0 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oobtohhhohrohhorh. Give prob of picking 1 b and 2 h.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {x: 5, i: 2, t: 4, r: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1750 + 284. Suppose s + 3*o = 545, 4*s - 2*o - f = 146. Suppose -n + s - 42 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316 + -348. Is (1\/(-1))\/(z\/96) + 71774 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:45 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-90*o + 90*o - 59*o**2)*(-2 + 1 - 1) + (-3*o + 0*o + 2*o)*(o - 3*o + o) to r*o**2 + y + w*o and give r.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1990088531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 69\/92 - (-395)\/4. Let y = -57 + 288. What is the highest common factor of y and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 56672741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine quarters of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1889\/6 - 944\/3. Factor 161\/6*g - 49\/6 + l*g**5 - 95\/3*g**2 - 17\/6*g**4 + 47\/3*g**3.\nAnswer: (g - 7)**2*(g - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136865, 136893, 136961, 137087, 137289, 137585?\nAnswer: 137993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4917c - 59?\nAnswer: -c49208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (1 + 2 + sqrt(242)))**2 + -1)*5 + 1)*-1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 6. Suppose a + k - 1 = j*a, a + 1 = k. Find the third derivative of -2*i**2 + a*i**3 + 3*i**3 - 5*i**3 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(11)*2 + sqrt(11)) + 0)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 25*z**8\/112 - z**5 - 42*z**2. Find the third derivative of v(r) wrt r.\nAnswer: 4500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.67335311 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2773\/1045 + 7\/95. Find the common denominator of z and 89\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from ogoogvktkoggk.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.134 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-6)\/15)\/(972\/(-270))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1272.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 36 = -3*h. Suppose -4*x + 6 = -h. What is the lowest common multiple of x and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/4 or 15?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -231, -546, -995, -1578?\n\"Answer: -67*i**2 + 20*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -2. Sort 2, x, 2\/17 in ascending order.\nAnswer: x, 2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.4 (c) -3\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 334. Let i = b - -429. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -50 - (-980 + 976).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 100, -17, -3 in descending order.\nAnswer: 100, 5, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 6*r + 6. Let g(p) = -2*p**2 - 5*p - 5. Let m(w) = 6*g(w) + 5*i(w). Let b(a) = 5*a**2 + 27. Give m(b(o)).\nAnswer: 75*o**4 + 810*o**2 + 2187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*z + 100 = 381*z. Calculate the remainder when 229 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404583443 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/60 + 2*s**5\/5 - 7*s**4\/4 + 10*s**3\/3 - 25*s**2. Factor n(q).\nAnswer: -2*(q - 10)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + -5 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2018750.\nAnswer: -8075000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41c + 5268?\nAnswer: 5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 993*s**4 + 114*s + 4.\nAnswer: 11916*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*k**2 + 372*k**2 - 74*k**2)*(0*k**3 + k - 3*k - k**3).\nAnswer: -125*k**5 - 250*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(256\/9424) - 1*-4 is divided by 17*(-15)\/(3 + -6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -773 + -237. Calculate the common denominator of ((-38)\/(-95))\/(32\/q) and 19\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*d + 7 = -11, 5*m + 2*d = 0. Let f be (3\/(-1) + m)\/(180\/1625229). Let j = f + 9031. Calculate the common denominator of j and -163\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -22 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 4*u**2 + 0*u**2 + (-1 - 2 + 4)*(4*u - 4*u - 3*u**2) + u**2 + 11*u**2 + 3*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879.16873 rounded to the nearest ten?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -3*t**5\/20 - 5*t**4\/4 + 2*t**3\/3 + 9*t**2\/2 + 2*t - 4. What is the hundreds digit of f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f**3 + 6*f + 8. Let c(j) be the first derivative of j**4\/2 - j**2 - 3*j + 1. Suppose -63*o + 83*o + 100 = 0. Give o*w(k) - 14*c(k).\nAnswer: 2*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*h**2 - 46 - 84*h**2 + 46.\nAnswer: -418*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/4)\/((-12)\/32). Suppose 3*g + 2*g - i = 2*j, -3*j - 10 = -5*g. Let r(z) = 5*z**2 - 4*z + 3. Calculate r(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 55*q + 10522. Determine s(-181).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1770*m**2 + 4*m + 69. Let r(a) = 8847*a**2 + 19*a + 358. Let c(t) = -11*p(t) + 2*r(t). What is the second derivative of c(v) wrt v?\nAnswer: -3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 72. Find the first derivative of -29*b**3 + 43*b**3 + b**n - 12 - b**2 wrt b.\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 6*q + 5. Let o be r(0). Let p(f) = f**3 + 7*f**2 - 9. Let l be p(-2). Solve -t = c - o, -c + l = 3*t + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85635.\nAnswer: 3, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -62459168270?\nAnswer: 62459168269.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 - -189. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 242 + q**2 + 3*q + 257. Let t be u(-6). Let l = 7 - 0. What is the highest common factor of t and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 197174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/9*(-2)\/(48\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/6 - 9*m**2\/2 + 9*m. Let b be t(11). Suppose 4*i + 10 = 2*q + i, -i - 2 = -b*q. Is -14\/9 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28142, 56350, 84558, 112766, 140974, 169182?\nAnswer: 197390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04156624 rounded to four decimal places?\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 4*t**3\/3 - 6*t**2 + 8*t + 6. Factor j(q).\nAnswer: 4*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 66\/(-14))\/(8\/96*-4)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4414998 by 5.\nAnswer: 4414998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 260304 and -73.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**3\/5 + 6351*s**2 - 31758*s\/5 = 0.\nAnswer: -10586, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2033.\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7288 + -0.6848. Which is greater: x or 5\/13?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.477278 rounded to three decimal places?\nAnswer: -0.477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -494364.4 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:51 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6 - 1. What is the second derivative of -22 + 3*a**m + 0*a**5 - 12*a + 22 wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:03 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461 + 322. Let d = g - -237. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - 26. Let j = -33.3 - d. Let u = j + -1.26. Round u to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -304, 1 in ascending order.\nAnswer: -304, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.828 - 0.172. Let j = 0.42 - 31.42. Let r = z - j. What is the third smallest value in -0.4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6885738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6711365 is divided by 129064?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:55 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/7 (b) 0 (c) -2\/17 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * 0.1015416.\nAnswer: -0.34524144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -508650132 + -4?\nAnswer: -508650136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 5*d**4\/12 - 295*d**3\/3 + 580*d**2 - 1265*d. Suppose j(w) = 0. Calculate w.\nAnswer: 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42450000 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*a - 2*a**5 + 125*a - 13*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2870, 10759, 22560, 37169, 53482, 70395, 86804, 101605?\nAnswer: 113694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:20 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*y**2 + 2*y**2 - y**2 + (y + 2 - 2)*(1 - 1 - 1)*(0*y + 5*y - 3*y).\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 13*c**2 - 36*c - 30. Let u(h) = 134*h + 122 + 9*h + 51*h**2 + 7*h**3 + 4*h**3 - 7*h**3. Let i(x) = 22*f(x) + 6*u(x). Factor i(r).\nAnswer: 2*(r + 3)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644514 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**3 + 0*n**2 - 1 + 70*n - 35\/12*n**4. Let f(p) = p**2. Determine f(y(x)).\nAnswer: 1225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -9 - -4 - 10 - (4 - (13 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 - 3*l + 2. Let q be u(1). Suppose -3*t + 94 = 4*r + 14, -q*t + 15 = r. Calculate the remainder when 67 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**8\/21 + 2*q**5\/15 - 18*q**2. What is the third derivative of w(k) wrt k?\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, h: 9}. Give prob of sequence cc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-75) - (-47 + (-1120)\/(-24)) - (-2604)\/(-50)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1800569, -1800577, -1800585, -1800593, -1800601, -1800609?\n\"Answer: -8*w - 1800561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -2.4, 15\/14, -2\/75?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (2 + -16 + 3 + 15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 117*x**2 + 197.\nAnswer: -117*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10098061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-26))**(-2\/71) assuming l is positive.\nAnswer: l**(-56\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**2 - 166*r + 147. Does 15 divide p(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.83215 - -0.03215. Which is the closest to 1\/20? (a) -0.5 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 36 = -3*u. Let f = -5 + u. Let z be (39\/13)\/((6\/(-5))\/(16\/(-10))). Solve 15 = x + z*h, f*x - 6*x = -2*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 6*w - 57. Is z(-16) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aupuuppupuuuuuupp. What is prob of picking 1 a and 1 u?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26*r**3 + 2*r + 1. Let d be b(-1). Let c be 18\/d*174\/(-4). Is c\/(-3 + 30\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (-1 + sqrt(76) - sqrt(76))*-4 - (sqrt(76) + (2*sqrt(76) - sqrt(76))*-6 - (-1 + sqrt(76) + -3)))*1*1 + 1)**2.\nAnswer: 1872*sqrt(19) + 98665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44838 = 1387*c - 1971 + 20935 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 2*j + 5*f, -3*f = -5*j + 437 - 72. Suppose 0 = 2*q + 5*t - t - 54, 3*q - j = -2*t. Let n = -13 + q. What is the remainder when 47 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-15) + 52\/(-6). Let t = -5 - h. Solve 0 = 2*b - 0*p + 2*p - 4, -t*b + 14 = -p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 2, z: 1, n: 2, x: 6, y: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4*i + 4)*(5 - 1 - 3) + (0 + 4 - 1)*(2*i - 3 + 3) + (0 + 2 + 1)*(i - 3*i + 0*i) to o*i + j and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 5*z + 25.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/2 + 8 - -14. What is the greatest common divisor of w and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 = 32. Suppose h*c - 320 = 2*c. Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 a when three letters picked without replacement from {i: 4, x: 1, t: 1, f: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -351*w + 356*w - 98, -5*w - 2*b + 94 = 0. Solve w*g + 50 = 122 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 90\/(18 + -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2631*p**3 + 10*p**2 - 39*p - 154. What is the units digit of x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - t**2 + 26374*t**3 - 8 + 6*t**2 + 12 + 2*t - 26379*t**3 in the form n*t**2 + f + v*t + k*t**3 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59837, -239340, -538511, -957350, -1495857, -2154032?\n\"Answer: -59834*t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmfp when four letters picked without replacement from pnppppfpppppfmppp?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2085*d**3*i**3 + d**2*i**3 - 106*d**2*i - 5*d**2 wrt d.\nAnswer: -12510*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 42. Find the third derivative of 11*y**2 + 5*y**r - 6*y**3 + 18*y**3 wrt y.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1241, -78, 10, -4, 3, -3 in decreasing order.\nAnswer: 1241, 10, 3, -3, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*m - 0 - 8, -4*u = -5*m + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/10080 - 13*y**5\/60 - 12*y**2. Let h(b) be the third derivative of c(b). Let s(u) = u. Give s(h(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + 208. Let v(d) = -5*d**3 + 2*d - 2. Let b(n) = 6*n**3 - 3*n + 3. Calculate t*v(m) - 2*b(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*k - 3*k**2 - 10*k)*(2*k**2 - 2*k**2 + k**2) - 5*k**4 + 3*k**4 + k**4 to u*k**4 + f*k**3 + d*k**2 + s + z*k and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 103*i - 2264. What is v(-30)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 7919406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4120 + -1937. What is the remainder when g is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + 8. Suppose 11*r = p*r - 2. Solve r*v + 3 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (715 - 731) + (-186)\/6\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q. Let o = -11 - -19. Let h be ((-15)\/10)\/((-3)\/o). Let z be h\/(-26) - 196\/(-91). Determine a(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 426555, 853113, 1279671, 1706229?\n\"Answer: 426558*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -57*l**3 - l - 1. Let s be u(-1). Let z be (-2)\/8 + s\/132. Suppose 5*f + 8 = -2. Which is the biggest value? (a) -0.2 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325183547?\nAnswer: 13, 1009, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*m - 7 = 0, 0 = 5*k - 9*m + 4*m. Let p = -10 + 9.93. Let j = 0.57 + p. Which is the closest to 1? (a) k (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 50. Let b(k) = -5*k - 13. Let m be b(-6). Let j = 40 - m. Calculate the remainder when d is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02515 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 3. Let o be n(-2). Suppose -h = -2 - 13. Suppose -c + 6*c - h = 0. Solve -4 = c*w - o*z, -w - 3*w - 8 = -4*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.414743 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3707928*p**2 - 8802605*p?\nAnswer: 7415856","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {y: 11, i: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55142 - -55120. Suppose 13 + 12 = 5*m. Is m > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 2. Let r be q(2). Suppose y = -r*y + 175. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1, 29 in increasing order.\nAnswer: 1, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1\/2, 1, 2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + -2 + -14 + (10 + 13 - -9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, 22, -5, -6, 149 in decreasing order.\nAnswer: 149, 22, 4, 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -526, -638, -794?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (24 - (-26 + 26)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 391*r**2 + 3*r.\nAnswer: -391*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/18)\/((-23)\/(-414)). Solve -5*x - 5*y - t = 20, 3*x + 5*y = -27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from txv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.031 + -0.03100099. Round y to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 6:26 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_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: Calculate (-11 - (23 + -10)) + 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 15, -5 in decreasing order.\nAnswer: 15, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(19) - sqrt(1539)*-1) + (sqrt(209) + ((sqrt(209) + (sqrt(209)*2 - sqrt(209)) - sqrt(209)) + sqrt(209))*-6)\/(sqrt(1100) + sqrt(11)).\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/30 + o**4\/12 - 7*o**2. Factor q(v).\nAnswer: -2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 780.6 + -781. Which is the closest to 0? (a) t (b) 2\/13 (c) 1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -170, -370, -640, -974, -1366, -1810?\n\"Answer: t**3 - 44*t**2 + t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29674, -30731, -31786, -32839, -33890, -34939, -35986?\n\"Answer: n**2 - 1060*n - 28615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*f + 12*f - 94. Let s be 0*(1 + -2)*-1. Solve -5*o + f*c - 18 = 0, -4*o + 0*c - 4*c - 20 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from xlnsgxi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 30) + 28 + -41.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.9 + 9.1. Let s = 35.999874 - m. What is s rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-4)*2\/4. Let m be (2 - 1)\/(-6*4\/(-96)). Suppose m*h + 0*h - 410 = 2*y, i*h = -3*y + 285. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -328, -1289, -2880, -5095, -7928?\n\"Answer: r**3 - 321*r**2 - 5*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 957812803 to the nearest 100000.\nAnswer: 957800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12265787*a**3 + 3904361*a.\nAnswer: -73594722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**3 - z**3 + 3*z**3)*(85*z - 100*z + 84*z).\nAnswer: 621*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002085 to six dps.\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let m be (-39)\/(-9) + x\/6. Suppose 0 = 5*h - 20, m*w + 2*h - 27 = 66. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/142116 and -41\/121212.\nAnswer: 110424132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from xvbvbvb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/132*67 - ((-6084)\/429 + 14).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + 492 + -537\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 18. Let f be l(11). Solve -11 = -f*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-16) + (-2)\/8. Suppose p*g - 14 = 1, 2*g - 20 = -m. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36570 divided by -795.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/75)\/(4\/4*1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14076 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 46204*j + 0 + 0.\nAnswer: 46204*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 79*j - 580 = 28*j. What is the nearest to -0.1 in 27\/4, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*l**3*x**2 - 25*g*l**3*x - g*l**3 - 2*g*l*x**2 - 4*g*x**2 wrt x?\nAnswer: -10*g*l**3 - 4*g*l - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*o + 20 = 0, -3*q - o - o - 11 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdr when three letters picked without replacement from xwnxrnrwwrdnndwxxnw.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -0.3, 2\/5, 67?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 76. Let t = 34.823 - -0.477. Let z = t + v. Which is the biggest value? (a) -6 (b) z (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*n**5 + 13224*n**6 - 3*n**3 - 13234*n**6 + 2074*n**2 + 3*n**3 wrt n?\nAnswer: -1200*n**3 + 1680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.71 + -18.39. Let s = c + 9. Let l = -2.6 - s. Round l to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3\/5, 4382362.\nAnswer: -2\/11, 3\/5, 4382362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**5\/60 - 5*z**4\/24 - 5*z**3\/6 + z**2\/2 - 3*z. Let v(n) be the first derivative of c(n). Let g be v(-4). Is -2 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5 = 0, 12 = 823*p - 822*p - 2*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*w - 24695 = 2685*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189*-1955730.\nAnswer: -369632970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 8 - 13 - 5*g**3 + 6.\nAnswer: -10*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2754*g**2 + 44*g - 11. Let b(f) = 918*f**2 + 16*f - 4. Determine -11*b(s) + 4*w(s).\nAnswer: 918*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/28 and -61\/242?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24163812 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 - 4*t - 3. Let w be f(5). Suppose -44*l + 23*l = 43*l. Suppose -9*c + w + 18 = l. Solve c*x - 2*z = -31, -3*z = -4*x + 6 - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.17 times -7?\nAnswer: 204.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/9 (b) 0.5 (c) -0.047 (d) -4\/17 (e) 2 (f) -1 (g) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 29, 32, 19, -16, -79?\n\"Answer: -n**3 + n**2 + 17*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11080859?\nAnswer: 11080859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936*t - 959*t + 199249 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7240373 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4979.809 litres to millilitres.\nAnswer: 4979809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y*y*y**(-2)\/y)\/y)*y)\/y**4*(y**0)**(2\/3))\/((y*y*y**0*y*y*y)**(-3\/7))**(-1\/24) assuming y is positive.\nAnswer: y**(51\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 x when three letters picked without replacement from {x: 7, u: 1, q: 4, e: 5, h: 1, w: 2}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-420 + 0)*(-300)\/(246 + 954)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-660)\/48 - -3) + 10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 5*o - 15. Let a(h) = 11*h**2 - 14*h + 44. Give 3*a(x) + 8*b(x).\nAnswer: x**2 - 2*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*d - 300 = -777 - 298. Let g(a) be the third derivative of -a**6\/120 - a**5\/20 + 5*a**4\/24 + a**3\/2 - a**2. What is g(d)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 99\/2, 0.5, -0.4, 1, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 18 + 5*n + (1 - 1 - 1)*(-2*n + 2*n - 3*n))*(143*n**3 - 261*n**3 + 64*n**3) to g*n**3 + t + p*n + h*n**4 + a*n**2 and give h.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110100011 + -1011001111000?\nAnswer: 10100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -46, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-264)\/126*(-42)\/(-36). Suppose 5 = 3*f + 2*x + 16, 2*x = -8. Is f not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 + 3*n - 3. Let p(j) = -j - 2. Let q(k) = 4*p(k) + 3*v(k). Let u be (4\/(-3))\/2 - 119\/(-21). Determine q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2 - 83*u + 12. Let s be j(9). Let q(n) = -n**2 - 7*n - 13. Give q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35360 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16034 = 4*c, 5*a + 14087 + 5933 = 5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8190511 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*b + 31 = 3, x - 2*b + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, 2, -2, 7.\nAnswer: -3, -2, 2, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/220*45\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 5*h - 185 = 0, 0*k + h + 479 - 503 = -k + 7*h - 3*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281 and 30190921?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24742 and 15568?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 0 - (-4)\/8*24799994. Suppose -12*r + 10*r = g. Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 24. Let k(p) = -8*p + 2. Let u be k(w). What is the common denominator of 37\/3 and 2*u\/32 + -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965, 968, 971?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, c: 1, m: 5, z: 4, f: 1, d: 2}. Give prob of sequence fhd.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -2*b**3\/21 - 8*b**2\/7 - 32*b\/7 + 8. Factor n(y).\nAnswer: -2*(y + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4281 = 9*q + 1464. Let d = -313 + q. Solve d = -4*g + 2*m, 0 = -5*g - 4*m - 0*m - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/40)\/(6\/(-20)). Let t be (r\/18)\/((-1)\/(-3)). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 1) + (-22)\/(-33). Let u = 19 + -5. Let g be ((-3)\/3 - (-4)\/u)*-7. What is the smallest value in g, -5, -4, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 118*f**3\/3 + 230*f**2\/3 + 38*f.\nAnswer: 2*f*(f + 1)**2*(f + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1695023\/711 + -35\/79. Let k = 2388 - m. Factor -16\/9 + 14\/9*q**3 - 2\/9*q**4 - 4*q**2 + k*q.\nAnswer: -2*(q - 2)**3*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let s be w(1). Suppose n - 5*d - 20 = 26, 2*n + 3*d - 27 = s. Factor -3*h**3 + 9*h**2 - 27*h - n*h**2 - 6*h**2.\nAnswer: -3*h*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87104 and 1728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 123.45. Let r = -2.55 + n. Suppose -3*f = -4*z - 0 + 1, 6 = -3*z. What is the biggest value in -4\/3, r, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b**2 - b - 14. What is w(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-237) - ((-9824)\/(-1106) + -10).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*m**3 - 38*m - 5826 with respect to m.\nAnswer: 102*m**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 80 = 5*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -5*g - 93 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 99 = -7*z. Let n(x) = x**2 - 23*x - 67. Let u be n(-3). Calculate the highest common divisor of u and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*x + 41*x**2 + 309*x - 12*x**2 as z + i*x**2 + h*x and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 21, 4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 442*f**2 - 7285*f + 20009. What is t(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794\/3*h**2 + 616*h + 2\/3*h**4 - 28*h**3 + 968\/3 = 0. What is h?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b25 + 9?\nAnswer: -2b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3391642 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 2 = 7. Let m be (-2)\/(-12) + ((-650420)\/(-24) - f). What is m rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*u**6 + 221*n*u**3 + n*u**2 - 28*n*u - 3*u**2 wrt u.\nAnswer: -240*n*u**3 + 1326*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -74 (b) -1 (c) 16951\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 101120000120?\nAnswer: -101120000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:48 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 4*c**3 - 13 + 29 - 19 as x + v*c**2 + s*c**3 + l*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 - 22*n**2 + 33*n - 8. Let r(u) = u. Let z(j) = p(j) - 5*r(j). Determine c so that z(c) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.183879 rounded to three decimal places?\nAnswer: 1.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83*12964.\nAnswer: -1076012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134439*f - 134429*f + 40. Which is the third smallest value? (a) -2\/76361 (b) 5\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 3*v + 2*v - 2*v**3 + 4*v**2 - 6*v**2. Let j be -3 - -3 - (1 - 0). Let f be n(j). Solve -f*s - 30 = -0*k + 5*k, -5*s = 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose q + 2 = g. Let h(r) = -5*r**3 + r**2. Give h(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 0 + (-80 - -86 - -15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, q: 2, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 10, l: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a - 79*a + 133*a = 3213 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:42 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12864.9999979208 - -12865. Round s to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 122411\nAnswer: -4\/122411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-8)*(-6)\/4 and ((-10)\/12)\/(10\/(-9) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 2) + 9 + 13.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 164777*a**2 - 164777*a**2 + 46 + a**3 as k*a**2 + f + y*a**3 + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 9) in base 7?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/(2 - 4) + (-60)\/15 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -40*i + 690. What is s(19)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*j - 10 = -30, -4*p = j + 4. Let b = 9255 - 9252. Determine s so that 1\/8*s**4 + 3\/8*s**b + p - 3\/8*s - 1\/8*s**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 0, 2*t + 30*d = 28*d + 802. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1154562 - 5?\nAnswer: 1154555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + ((-200100)\/(-275))\/29?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29341 and 1924?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let w(h) = -22*h + 5116. Calculate w(j(r)).\nAnswer: 44*r + 5116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - h - 670 = -677, -2*h = -4*u - 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**2 - 44*v. Let l(z) = -31*z**2 - 7*z - 12*z + 38*z**2 + 4*z. Let s(o) = -8*l(o) + 3*n(o). Solve s(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/c**7)\/c)\/c*c\/c**(3\/2)*c*c)\/(c*c**(-1))**22)\/(((((c*c**(-1)\/c)\/c)\/c)\/c)**29)**(2\/45) assuming c is positive.\nAnswer: c**(-31\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/1)\/(-18) - (0 - 0). Let d = 4.95 + 0.05. Put x, d, 0 in descending order.\nAnswer: d, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/312 and 53\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2410\/4257 + -8\/387. What is the nearest to -2\/7 in -2, -5, b, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2588, 22506, 77070, 183602, 359424, 621858, 988226, 1475850?\n\"Answer: 2887*x**3 + x**2 - 294*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 8*j**2 - 6*j - 15. Let h = -15 + 7. Let f be l(h). Let q = f - 27. Solve -z + 4*p + 10 = -q*z, z + 3*p + 13 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12)\/((-24)\/64)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262255 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 5*s**2 - 2*s - 1. Let d = 1424 - 1430. Give n(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*n - 1327 - 268 = 0, 2*x + n = 639. What is the remainder when x is divided by 302?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147715529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = m - 4*m. Find the third derivative of -m*f**4 - 13*f**4 - 527*f**2 + 0*f**4 + 537*f**2 wrt f.\nAnswer: -432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207366761?\nAnswer: 7, 271, 109313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*g - 0*g + 5*q, -4*g + 5*q = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888618?\nAnswer: 2, 3, 29, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -253435 (base 6) to base 4\nAnswer: -11210333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13700928 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r - 3*r - 3*r - 2*r**2 - 3*r - 5. Let z be n(-6). Solve 0 = 2*f + 4, 0 = s - 0*f + 4*f + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4138, -4155, -4194, -4261, -4362?\n\"Answer: -z**3 - 5*z**2 + 5*z - 4137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127309 by 6.\nAnswer: -127309\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - 43*i - 28. Determine m(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -62*(-5)\/((-50)\/(-745)).\nAnswer: 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/60 and 1\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1223594, -1223597, -1223600, -1223603, -1223606?\nAnswer: -1223609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -15204025?\nAnswer: 15204024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/7 - (-14 - -1). Let z be 2*2\/(8\/p). Let o(r) = -r**2 + 3*r + 5. What is o(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 59*n + 396. Let o be c(-40). What is the greatest common divisor of o and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 321166848 and 36364?\nAnswer: 321166848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324272 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwrzzrzwwrrrwzzrrz. What is prob of picking 1 z, 1 r, and 2 w?\nAnswer: 245\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Suppose -3*m = -t - 9, -3*m + 3*t + 7 + 8 = 0. Factor -f**2 + 6 + 2*f**m - 5*f**2 + u*f + 3*f**4 - 3*f**3 - 5*f**2.\nAnswer: 3*(f - 2)*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35476799.\nAnswer: 3109, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/17 - 19352\/(-1394).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1450740217 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279005 is divided by 637.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/3 + 5*w**4 + 5*w**3\/3 - 25*w**2 - 4*w\/3 + 20 = 0 for w.\nAnswer: -2, -1, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from otxwp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 4:53 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 16*y**2 + 2*y - 24. Let x be k(16). Suppose b = -x + 10. Solve -3*m = b + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y + 5. Let s be t(0). Let c(a) = -9*a + 10*a + 0*a + 3 - s*a. Let h(u) = -u. Determine 2*c(o) - 10*h(o).\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115805*w - 6 - w**4 - 115890*w - 2*w**2 + 4*w**2 + 0 + w**3 to j + t*w + s*w**2 + a*w**3 + o*w**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 632481 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162922 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4 + (2 - (-1083)\/(-6)*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.40998 - 0.363347. What is g rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**5\/2 - 9*h**4 + 61*h**3 + 78*h**2 - 121*h\/2 - 69 = 0.\nAnswer: -23, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12133 + 1603 = -5*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, v: 1, m: 1}. What is prob of sequence myv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*u**2 - 253*u**2 + 116*u**2 - 343*u**2.\nAnswer: -776*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 902554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 58*v = -48195 + 52227 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 9002473.\nAnswer: -2700741.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1348 + 1369. Let q(d) = 2*d**2 + d + 3. Calculate the remainder when q(4) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*r + 32*r + 4. Sort -3, -5, r, 2 in ascending order.\nAnswer: -5, -3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 11\/22*(1 - 3). Suppose 24 = -5*l + 10*l + 2*b, 5*b = -5*l + 15. Suppose -n*v = -l*v + 210. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -38. What is the greatest common divisor of 104 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20\/3, 2\/9, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:08 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + k = -20, -4*y - 3039*k + 3038*k = 42 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 + 13*p - 2*p**2 + 10 + 9*p**2 + p**3. Let v be f(-9). Let k = -9 - v. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 h when four letters picked without replacement from popoophpphpoophoooo?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 - (2 - -1))\/((-3)\/12). Suppose -m = 7*u - 4*u. Let x be -4*1\/u - (-166)\/12. What is the highest common factor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02349 + -1.02349. Which is the fifth biggest value? (a) l (b) 0.3 (c) 12 (d) -8 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(3)*-2)*3 + -3.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) -32896 (d) -261\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - 1. Suppose 2*h + 2*h = 4. Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(6\/3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1559, -3120, -4681, -6242, -7803, -9364?\nAnswer: -10925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/120 + 8*d**5\/15 - 11*d**4\/8 + 67*d**3\/6 - 55*d**2 - 2. What is r(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 15*x**2 - 3*x - 43. Let y be q(-15). Solve -3*k**3 + 0*k - 6\/7*k**y + 0*k**4 + 27\/7*k**5 + 0 = 0 for k.\nAnswer: -2\/3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*t**3 + 0)*((3 - 5 + 1)*(2*t**2 - 2*t**2 + t**2) - 2*t - t**2 + 2*t - 3*t**2 + 2*t**2 + 0*t**2).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.17\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.1 + 25.1. Which is the closest to -1? (a) r (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/18 and -91\/328472?\nAnswer: 2956248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2757 and 6189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2089 + 2070 + (-1 - -58)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3680986 is divided by 68166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2. Let h(j) = j + 23. Let t be h(-23). Let c(z) be the third derivative of -1\/30*z**5 + 0*z**3 + t*z + 0 - 6*z**2 + 0*z**4. What is c(d(b))?\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - -3 - (4 + (-7 - -4) + -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1449, 1123, 229, -1515, -4391, -8681, -14667, -22631?\nAnswer: -32855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**1*d)\/d))**(-1))**21\/((d**0)**(2\/21)*d*d**(1\/4)*d*d*d**(-2\/3)*d) assuming d is positive.\nAnswer: d**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:30 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1160 and 2.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.49?\nAnswer: 2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103.7 - 104. Which is the third biggest value? (a) g (b) -2\/9 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13398*k - 13345*k + 954 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**3 + 0*j**3 - j**3)*(-1214 - 1033 + 1794) as y + b*j**2 + x*j + s*j**3 and give s.\nAnswer: -1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13306689*m*u**2 - 45511258*m - u**4 wrt u.\nAnswer: -26613378*m*u - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -110110100111111?\nAnswer: -110110100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 5026*r**2 - 15071*r + 10046 = 0.\nAnswer: 1, 2, 5023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10*40\/(-8)*0)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 2*z - 15. What are the prime factors of j(8)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -216 + 222. Is (495\/s)\/(28\/168) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-91))\/(3\/(-70)*10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42189614.\nAnswer: 2, 17, 19, 65309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 67, 239, 573, 1123?\n\"Answer: 9*h**3 + h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umum when four letters picked without replacement from ummmumuummmmummumuuu?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112374 is divided by 3220?\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 3, s: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -127, 1, -0.2?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 9, -3.2, 1?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 331 = -6*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10643778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2219 and 6023?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f**2 + 49*f**3 - 47*f**3 - 14 + 4*f + 13*f - 5*f. Determine r(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.47 - 2.3?\nAnswer: -8.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 88 + 109 = -145*w, 114 = 5*w + 75*i - 79*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Suppose 0*a + 20 = f*a. Suppose 3*r - 1 + 7 = -a*o, -5*o = 5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 61, 62?\n\"Answer: y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 67, 102, 141, 184?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16485?\nAnswer: 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 5*k - 11, -p = 5*k - 32. What is the third derivative of l**2 + 7*l**3 - p*l**3 - 2*l**4 + 9*l**4 wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 26 - 15 = 3*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1218)\/(-87)*260\/40\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2 = n - 2*m, -3 = 3*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32153 + -14056. Suppose -10*a + 12733 = -x. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -2*q**6\/15 - 6*q**5\/5 - 8*q**4\/3 + 6*q + 259. Factor i(x).\nAnswer: -4*x**2*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -9, -5, 10, -23, -4 in increasing order.\nAnswer: -23, -17, -9, -5, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*v**34\/v)\/v)*v*v)\/(v**(-18)*v)*(v*(v**(-42)*v)\/v)\/v**(-12\/11) assuming v is positive.\nAnswer: v**(-571\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 29 = 2*v, 3*z + 8 + 2 = -v. Let k = 25 + v. Suppose -4*l = b - 2*l - k, -3*b + 11 = l. Calculate the lowest common multiple of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4*v**2 - 100*f**3*v**3 - 5*v**3 - 6 wrt f?\nAnswer: -4*f**3*v**2 - 300*f**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -53. Suppose h*r + 189 = 8*r. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 38. Suppose b*g = 7*o - 2*o + 24, -4*g + 56 = 3*o. Solve -28 = n - 5*p, 0 = -2*n + p - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -228. Let j = -114.1 + u. Which is bigger: -1\/97 or j?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - 4*k)*(-3*k**3 + 2*k**3 + 0*k**3) + 4*k**4 - 5*k**4 + 3*k**4 + (589 + 178 - 13)*(3*k**4 - 2*k**4 - 2*k**4).\nAnswer: -751*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 3 - 5*p + 6 - 3 as l + b*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-29))\/m**(-3\/20) assuming m is positive.\nAnswer: m**(-557\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6991 + -4097?\nAnswer: -4092.3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 10. Let h(o) = o**2 - 9*o - 7. Let l be h(9). Let j be a(l). Solve 4*x - 2*z = -22, -5*x - j*z + 5 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 1. Let b be q(-3). Suppose 0 = m + m - 8. Suppose 0 = -v - 2*s - 7, m*s + 2 = -0*v + 2*v. Put b, v, 5 in descending order.\nAnswer: 5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 27, 75, 153, 267, 423, 627?\n\"Answer: u**3 + 6*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157 + 66 + 32*t + 53*t + 4*t wrt t.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95610832 to the nearest integer?\nAnswer: 9778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -1109\/11. What is the closest to -0.02 in -2\/5, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -32. Suppose 68 = -6*p - 16. Does 5 divide ((-32)\/16)\/(m\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 486510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99536, 99525, 99512, 99497?\nAnswer: 99480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 + 3*k + 10. Let v = 77 - 75. Let l(h) = 2*h**2 - 3*h + 1. Let y be l(v). Is g(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = 3*x - 315, -5*x = 3*h - 205. Suppose -5*f + h = -15. Solve 0*g = 3*g + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 29. Let s be x(9). Let f be (4\/(-3))\/((-225)\/600). Suppose -f + 16\/9*u - 2\/9*u**s = 0. Calculate u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.902 times -0.4?\nAnswer: 11.5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5\/3)\/((-1)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -5*u**4\/4 + 1054*u. Let f(o) = -93*o. What is f(b(g))?\nAnswer: 1395*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(8\/(-16))*102\/68*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 400, 353, 224, -29, -448, -1075, -1952?\n\"Answer: -7*c**3 + c**2 - c + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (2 - -2) + -2 + 58?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.029, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose -u = -4*c - 0*c. Let f be 69\/24 + (-2 - c). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/15 - x**5\/60 - x**4\/12 - x**3\/6 - x**2. Let p = -7720 + 7734. What is the remainder when y(2) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/7))**(-11\/6))**39)**19 assuming a is positive.\nAnswer: a**(-2717\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.8 + -42.2. Let q = n - -50.0000051. Round q to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0 (b) 0.7 (c) 1\/6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 167265 divided by -63\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2857, -11507, -25725, -45349, -70217?\nAnswer: -100167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*l - 3*q + 21, -5*l = -5*q. Determine g, given that 4*g + 9*g**4 - g**4 - 14*g**3 + 2*g**l = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -987439, -7, 3 in ascending order.\nAnswer: -987439, -7, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -16*b + 227\/2*b**2 + 97\/6*b**3 + 0. What is the derivative of j(s) wrt s?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -356*s**2 - 3*s + 5 wrt s?\nAnswer: -712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 973 - -3898. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afjahhhaaah. What is prob of sequence fj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + -18 - 11) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/((-6)\/(-18)). Let k be (0*(v + 5))\/(-2). Solve 3*j - j = -4*c - 20, k = 4*j + 3*c + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -0.2. Let n = 0.23 - -0.12. Let f = 0.15 + n. Which is the nearest to x? (a) 1 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hob when three letters picked without replacement from {o: 2, h: 1, w: 1, b: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1806, -2250, -2694, -3138, -3582?\n\"Answer: -444*v - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -97. What is the greatest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 - 3*u - 5. Suppose 9 = -0*q - 3*q - 4*z, 5*q = 5*z - 50. Let w be s(q). Let -8 - 10*l**2 + 5*l**2 + 15*l**2 + w*l = 0. Calculate l.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148735336 divided by 8\nAnswer: -18591917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131314214 - 2?\nAnswer: 131314212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 195570*u**3 - 28686305379*u**2 - 172112551920*u - 258166187712.\nAnswer: -(u + 3)**2*(u + 293352)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (45 - (34 + -41))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o. Let y(z) = z**2 + 5*z + 5. Let p(s) = -s**2 - 4*s - 4. Let t(v) = 5*p(v) + 4*y(v). What is t(j(g))?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 2*l + 2 - l + 2*l**2. Let y be x(3). Suppose -q = y*q - 45. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -293 in 1\/2, -236, -18?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 27*o**2)*(-o**2 - 4*o**2 + 2*o**2 + (-1 + 0 - 1)*(-2*o**2 + 3*o**2 + o**2) + 30*o - 15*o**2 - 30*o).\nAnswer: 594*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*h = 2*g - 306, -5*g = 2*h - 504. Let o = 180 - g. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**3\/3 - 9*d**2\/2 - 1. Find the second derivative of n(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524, -4074, -13566, -31928, -62088, -106974, -169514, -252636?\nAnswer: -359268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 30, 95, 160?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 274 (b) -26 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 3:27 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9972?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356 divided by 5?\nAnswer: -1356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000056834 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1519\/30 - 224\/5. Let g = 13\/2 - x. Factor 1\/3*y**2 - g*y + 1\/3.\nAnswer: (y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -16\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7860278*z**2 + 7860278*z**2 + 93806*z**3 - 93805*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-374)\/96492*172)\/(((-2)\/(-87))\/2)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2800046 and -52911742?\nAnswer: 50111696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-127770)\/700)\/(18\/(-5)). Let n = g - 380\/7. Find the common denominator of n and 113\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14) - (2 + (-111)\/6) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25836.0000033726 - -25836. Round p to seven decimal places.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - ((sqrt(640) - (sqrt(640)*2 - sqrt(640))) + sqrt(640) - sqrt(640)))\/sqrt(8).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8 and -14\/51477.\nAnswer: 411816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((63\/7)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -27 + 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-320)\/(-1152)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 129 = -5*d + 4*b, 5*b = -2*d - 45. Let w be -2*18\/12 - d\/9. Is w equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-27) + 22\/(-18). What is the tens digit of (-2 - a)*-1*27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12 + 8. Suppose -q*l = a, 0 = a + 2*a - l. Suppose 2*m + a*m - 8 = 0. Solve 3*v = m - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6609 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 325\/72 (b) -485 (c) 2 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*6*(-9)\/90. Factor -f*c**2 + 4\/5*c**4 + 4\/5*c**3 + 1\/5 - 2\/5*c.\nAnswer: (c + 1)**2*(2*c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23c714 (base 15) to base 11\nAnswer: -a6a878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -81, -185, -331, -519, -749?\n\"Answer: -21*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 4*i - 4. Let z = -1 - 3. Let v(g) = g**2 + 5*g + 5. Let h(p) = z*v(p) - 5*x(p). Let k(c) = -c. Calculate k(h(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-4))\/(2\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/471465 and 4\/94293.\nAnswer: 471465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/8))**(1\/34)\/(y*y*(y*y\/(y*y**(11\/4)))\/y*y*y*y**(1\/9)) assuming y is positive.\nAnswer: y**(-3413\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 42. Suppose -5*o + d = 0, -5*o + 1375 = 3*i - 4*o. Suppose -345 = -3*j + 3*m, 3*j - 7*j + m + i = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 187*b - 81 - 40. Solve -4*m = -8*i + 6*i - b, -i = 2*m + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 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: Suppose -p + 4 = 2. Suppose 3*j + 2*i - 10 = -j, 0 = -3*j + p*i + 4. Suppose j*v = 6*v - 148. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - -4*34119988\/(-8). What is r rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2261\/43282)\/((-161)\/92)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 77 + 230 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00063075 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 31, -2.1, 1\/5, -10.1, -2 in descending order.\nAnswer: 31, 1\/5, -2, -2.1, -10.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212121211 - -1?\nAnswer: 12212121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let y(p) be the third derivative of 0*p**3 + 0*p**4 + 0 - 7\/15*p**5 + 0*p - 13*p**2. Give k(y(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, -2\/3, -1, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17869 in -5, -1\/2, 2\/3, 0.05, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708417421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/284 and 53\/2230.\nAnswer: 316660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/(-5) - -3 - 8. Suppose -b*o + 0*o = -1936. Calculate the remainder when o is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let p be 34\/18 + 3\/162*6. Let s(j) = 0*j**2 + 4*j**p + 23*j**2. Calculate s(v(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3. Let d be w(1). Suppose -d*n = 2*a - 3*a - 16, 0 = n + a - 11. What is the remainder when 26 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/4)\/((b*b\/b**(-5\/3)*b)\/b))\/(b\/b**2*b\/(b*b*b\/(b*b*b**(-1))*b)) assuming b is positive.\nAnswer: b**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2255.7 minutes to microseconds.\nAnswer: 135342000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 7, 12, 17, 22, 27?\n\"Answer: 5*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264913 + 264902.10951. Let b = u - -2.89133. Let x = 8 + b. What is x rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -18. Let p be (-2)\/(-1*1\/3). What is the greatest common divisor of l and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 3636703.70346.\nAnswer: 3636704.40346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:58 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*o - 30, 48266*r = 48261*r - o + 32 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + x - 6 = 8*m, -x = -3*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.44 less than -98080789?\nAnswer: -98080786.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 105. Let d(a) = 5*a - 3. Let l be d(7). Let n = x + l. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 24 - 14 - f + 3*f. Let p = -23 - -16. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637897 at least as big as 1637906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28226460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 34 = 4*t + 16*m, -m + 7 = 0. Let n = 1 + 1. Let i = 1 - n. Which is the third smallest value? (a) 4 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**7\/70 - 3*z**3\/2 - 3*z**2 + 2. Let b(f) be the second derivative of r(f). Differentiate b(u) wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - v**4\/6 - 2*v**3\/3 - 7*v**2\/2 + 19*v. Let s be c(5). Let x be 5\/2*s\/(-24). Which is smaller: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3\/14, -1\/4, -4 in decreasing order.\nAnswer: 3\/14, -1\/4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -7*s + 7. Let f(z) = z**2 - 8*z + 14. Let v be f(s). What is the first derivative of -v*l**2 - 10 + 2 - 9*l**2 wrt l?\nAnswer: -32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 9*l**2 + 10*l - 6. Let m be i(8). Suppose m = 2*c - 5*v - 16, 0 = -3*c - 2*v + 77. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttvvt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -9*m + j - 78, 4*j - 102 = 9*m + 6*j - 5*j for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/12 - z**4\/4 + 4*z**3\/3 + 2*z**2. Suppose 4*w = 5*v + 31, -3*v + 6 = w - 6*v. Is b(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(1315*a - 652*a - 642*a)*(4 - 4 - 3*a**2).\nAnswer: 63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 421747.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m - 35. Let z be t(-3). Let l(w) = w**2 + w - 7. Calculate the remainder when (-1)\/3 + 91\/3 + z is divided by l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1527 take away 0.1?\nAnswer: -0.2527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 428*m - 2109. Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68222 - 23404. What are the prime factors of r?\nAnswer: 2, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 64*k**4 - 2720*k**3\/3 + 4356*k**2 - 7812*k + 3528 = 0.\nAnswer: 2\/3, 3, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - -9 - (1 - -2). Suppose -l - 4*f - 18 = 0, 3*l - f - 21 = g*f. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 73. Give w(13).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7738406 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, j: 7}. What is prob of picking 2 e?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f - 585 = -116*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72642?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618597 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199 is divided by 673.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163 + -5431491.03.\nAnswer: -5431654.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-1242)\/115 - -11). Let s be (-3)\/(1\/(-30)*2). Let f be 2\/5 - 33\/s. What is the nearest to -4 in n, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1126423 weeks to milliseconds.\nAnswer: 68126063.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + 1. What is the closest to -1 in 4, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 14*p - 9. Determine q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195.58825 rounded to the nearest ten?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 1. Let x be o(-2). Let f = 4 + x. Let j = f - -2. Solve -3*z + j + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:49 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 25*a**3 + 24*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1728\nAnswer: -1\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*c + 1917, -5*c = p + 30 - 669. Find the common denominator of 133\/18 and (16\/456)\/((-60)\/p).\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3873.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsjjyyjtjsjt. Give prob of sequence jjjt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16451077*j**3 - 14*j**2 + 44205806.\nAnswer: 49353231*j**2 - 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322\/9 or 35?\nAnswer: 322\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 95 + 77 = -2*m, 4*r - 636 = -5*m. Let l = -159 + r. Solve l*u + 5 = -5*v, 0 = -v - 1 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, b: 2, n: 7}. What is prob of picking 1 j, 1 b, and 2 n?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -10, 2, 48, 140, 290, 510?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 15*q - 18. Determine g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 3, f: 2, e: 1}. Give prob of sequence df.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 8*o**2 + 5*o - 12. Give i(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 5}. Give prob of sequence fkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 29 - 76*w**2 - 111*w - 43 - 35*w.\nAnswer: -2*(w + 1)**2*(w + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/11 - 178\/11. Let x = -12 - k. Suppose -x*b = -5*b + 5. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5776 - -5874. Calculate the remainder when j is divided by 80.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*v**3 + 30*v**2 - 778*v - 1 wrt v?\nAnswer: -54*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 1 o when three letters picked without replacement from sskskkokokdkddn?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -292 in -3\/7, 56, 7, 1\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4534 = 4443. Solve 4*p + 26 = -2*y, -5*p = u*y - 8*y + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 1 (c) 19069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1484415 and -50031?\nAnswer: 1534446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*((-6555)\/1310 - -5). Let k = 806\/655 + q. Factor -1\/5*f**3 - k*f**2 - 9\/5*f + 0.\nAnswer: -f*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b633 - 2?\nAnswer: -b635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -g, -5*j + 2 = -4*g + 10. Let f(t) = t**2 + t + 0*t**2 - 5*t - g. Let z be 1 - (-1 + 3) - (-7 + 1). Give f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 2*b**2 + 2*b**3 - 2*b + 6 + 2*b**4 - 5 in the form j*b + y*b**4 + i*b**3 + m*b**2 + p and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 172\/(-4042) + (-6964)\/26320 and -85\/1064?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1814834 + -19918424\/11. Let t = c + -4065. Find the common denominator of (-4)\/6*54\/(-16) and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -767312.\nAnswer: -153462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -10.5. Let h = z + -6. Suppose -4*c = 3*v + 2*v - 20, 4*c + 3*v = 12. Sort h, c, 4.\nAnswer: c, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16115*s**2 + 145*s - 8. Let b(p) = 5371*p**2 - 54*p + 3. Give 8*b(q) + 3*z(q).\nAnswer: -5377*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*g**2 - 3 - 20*g**2 + 43*g**2 - 31*g + 0 as u*g**2 + s*g + m and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a century in months?\nAnswer: 18480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxxxxxxww. What is prob of sequence dwxx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 28 = -22. List the prime factors of ((14\/1)\/(5\/(-15)))\/i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u**2 + 766*u + 2127. Give t(-67).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 173*r**2 + 158*r + 2782. Calculate p(174).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 786a8?\nAnswer: 786aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/2 - 441*w**3 - 66046*w**2 + 133860*w = 0.\nAnswer: -690, -194, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590 and 165849.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 3 (c) -0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801, 830, 863, 900, 941?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 y, and 1 d when four letters picked without replacement from {t: 4, d: 2, y: 1, p: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -49*l - 208. Determine i(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 s when three letters picked without replacement from {o: 3, i: 7, s: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = -19. Let l be (5\/10)\/(t\/(-4)). Solve -3*u + 5*r + 20 = 0, l*u - 3*r = -0*r + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30928096 rounded to 3 dps?\nAnswer: -0.309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g + 25. Let i(l) = 4*l + 4. Let v(q) = 4*i(q) - y(q). Calculate v(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.042 - 0.042. Which is the nearest to -0.2? (a) -0.2 (b) -1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 48, -1, 5, 20 in ascending order.\nAnswer: -2, -1, 5, 20, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211096245?\nAnswer: 3, 5, 43, 293, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200, 389, 554, 683, 764?\n\"Answer: -2*z**3 + 203*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*z + 0 = 6, 2*h - 1 = -z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14*12\/378)\/(38\/57))\/((-103)\/(-6))?\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7148 is divided by 2371?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z + 7*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229419 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: Four letters picked without replacement from rggggrr. What is prob of picking 2 g and 2 r?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 4*a**2 + 3*a. Let m be i(2). Let k(l) = 7*l**3 - l**2 - 1. Let b be k(m). Let w = -39 - b. Calculate the lowest common multiple of 6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/13779 and -53\/14951746?\nAnswer: 134565714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a + 3. Let n(m) = -2*m**2 + 12*m + 9. Let q be n(9). Let b be 20\/(-18) - 5\/q. Let o be j(b). Let t(r) = -r**3 - 3*r**2 + 3*r + 3. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102868 and 257170?\nAnswer: 514340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-4 - ((12 - 11) + -11))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6294, 8784, 11274, 13764, 16254?\n\"Answer: 2490*a + 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 145.\nAnswer: -7\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.8. Let m = 267 + -269. Which is the nearest to 2\/7? (a) m (b) -1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {n: 1, q: 2, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*u + 28 + 15, -u = -1. Let r = z + 17. Let f be 12 + -14 - r*2. Let j(o) = o**3 + 3*o**2 - 3*o + 4. Determine j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*3 + -963*(-28)\/(-5292).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1060*l**3 + 18*l - 10?\nAnswer: -6360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*p**5 + 109*p + 2 wrt p.\nAnswer: 5060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + o - 5*o = -48, 4*n + 2*o - 56 = 0. Let q(i) = 5*i - 39. Is 19 a factor of q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let c = -68\/101 - -2\/303. Sort h, -2, c in decreasing order.\nAnswer: h, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.0063 to 1 dp.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -313 + 143. Let v = n - -323. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -403?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 25*x**2 - 97*x + 764. What is v(9)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/2*h + 1\/2*h**2 + 0.\nAnswer: h*(h + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -12)\/(2\/(-541)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 6, 0.3, 18 in descending order.\nAnswer: 18, 6, 0.3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -19, 2 in descending order.\nAnswer: 147, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 minus -113.934?\nAnswer: 134.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1492 and 678860.\nAnswer: 678860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(190) - -3*sqrt(190)))\/((sqrt(10) - sqrt(160)*-1) + sqrt(10)) + 4)**2*6.\nAnswer: -192*sqrt(19) + 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3*o**5 + 2*o**3\/3 + 77*o - 64. Differentiate i(w) wrt w.\nAnswer: 60*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16321 and -108.351?\nAnswer: 16212.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3222 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*j, 2*s - 5*j = s. Let x be (-1)\/2 - 1\/2. Let k be 18 - 2\/(s + x). Solve -m = 4*m - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.3. Suppose 10*o - 3*g - 3062 = 12*o, -4*o = -4*g + 6124. Let z = -1527 - o. Which is the closest to r? (a) z (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, 198 in decreasing order.\nAnswer: 198, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 112?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/561 and -75\/136?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5595.69936 rounded to the nearest integer?\nAnswer: -5596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 225274 and 225274 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-2)\/3 + 0). Let i(s) = 2 - 1 + 461*s - 459*s + s**2. Calculate i(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = f - 1. Let q(i) = i + 13. Calculate the remainder when 13 is divided by q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -119*d**4\/24 + 65*d**3\/3 - 50*d**2. Differentiate s(n) with respect to n.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/((-11904)\/(-240))*(-1)\/(25*1)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -2)*(-1 + -118). Calculate the common denominator of s\/90*(-6)\/4 and (-2)\/1 - (-45)\/(-300).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*f = -14, 111*f - 112*f + 16 = 5*s. Factor 2\/13*c**s + 18\/13*c**2 - 50\/13 + 30\/13*c.\nAnswer: 2*(c - 1)*(c + 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-542)\/26 + 4\/(-26)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108, -484, -1114, -2004, -3160, -4588?\n\"Answer: -v**3 - 121*v**2 - 6*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/193? (a) -0.3 (b) -2 (c) 0.2 (d) 125\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 12:11 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870056.\nAnswer: 2, 11, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, -1, -938 in decreasing order.\nAnswer: 3, 1, -1, -4, -938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -71*u**2 - 362*u - 24. Give n(-8).\nAnswer: -1672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 100275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4*s**2 - 4*s**2)*(-9*s**2 + 5*s**2 + 3*s**2) - s - s**4 + s**3 - s**3.\nAnswer: -2*s**4 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.5064 centuries to decades.\nAnswer: 735.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.014923 rounded to 2 dps?\nAnswer: -62.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 7. Let n be f(6). Let v = 1 + -4. Let b(h) = 158 + 154 + h**2 + 162 - 469. Let m(p) = 3. Determine n*m(k) + v*b(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 (base 15) in base 2?\nAnswer: 10100000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o**4\/3 - 1825*o**3\/3 + 1109*o**2 - 1423*o\/3 - 140\/3 = 0 for o.\nAnswer: -5\/61, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7410 by -390.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -16*d**3 - 748*d**2 - 548*d + 184 = 0.\nAnswer: -46, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27448660 times -0.6?\nAnswer: -16469196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 74 = -5*f. What is the units digit of (-11)\/22*f\/(-2) + 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 85, 159, 265, 409?\n\"Answer: k**3 + 7*k**2 + 20*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2882.927 decades to years.\nAnswer: 28829.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22245810 rounded to the nearest one hundred thousand?\nAnswer: -22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + 3*sqrt(190))*1)\/sqrt(10))**2 + (sqrt(228) + (-2*sqrt(228)*-2 + sqrt(228) - sqrt(228)) + sqrt(228))\/sqrt(12).\nAnswer: 6*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*v = 955*v + 735 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 905 (base 15) in base 2?\nAnswer: 11111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 398 - 1601\/4. Calculate the common denominator of 109\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 1018 = -178. What is the remainder when c is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (113\/(-3))\/(22\/66). Let x = 161 + y. Let h = -45 + x. Solve -a - 20 = h*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-13))\/(s*s**(-5\/3)*s*s*s)*(s\/(s\/(s\/s**22))*s)\/(s\/(s\/s**21)) assuming s is positive.\nAnswer: s**(-166\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9665*m**4 + 9696?\nAnswer: -38660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 41*w + 166. Let t be u(-4). Let h = 3 - 1. Suppose h*q + t*i + 2*i = 18, -5*q + 3 = -4*i. Solve -9 + 0 = q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + w**2 + 15*w - 8. Let u be f(-4). Suppose 4*k + 3*v = 2*k - 8, -4*k = -v - u. Calculate the greatest common factor of k and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/3*1*10\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 3*i - 2. Let o be r(-2). Let s be -2*2*(-5)\/o. Suppose -2 = 5*q - 2. Put q, s, -2 in increasing order.\nAnswer: s, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -119 + 0*w - 3\/4*w**4 - 21*w**2 - 9*w**3. Suppose d(h) = 0. Calculate h.\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-3) + (-42)\/252*-60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 4*n - 23. Let c be v(6). Let d = -7 + 19. Let i(p) = 7*p - d + 15 - 3*p. Let b(f) = 7*f + 5. Calculate c*i(w) + 6*b(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -5.02. Let b = -16 + 15.9. What is the closest to b in r, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*l**2 - 103611*l + 2224782 = 0.\nAnswer: -35314\/37, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 7. Let x = 10 + -1. Let y be u(x). Let r = 50 - y. What is the highest common factor of 120 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-33)\/(-22)*1\/((-6)\/(-1988)) is divided by 242.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 99. Let d be c\/(-6)*1*(-8)\/4. Let j be (8 - 115\/25) + 3\/d. Solve -3*v + 2*u - 10 = 4*u, 0 = -2*u - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g - 93. Let s = 24 - g. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - a98421?\nAnswer: -a98423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 6:13 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35941977 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8)*-2)\/((-54)\/1080)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4413 (base 13) to base 7.\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:20 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2329.4 - -2329. Let n be (-4)\/14 - 74\/(-14). Which is the second smallest value? (a) n (b) j (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2 - 128049*q - 17856774 = 0.\nAnswer: -139, 42822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -1, -22, 0.2216?\nAnswer: 0.2216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 211*k**3 - k - 1. Determine y(1).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4621, -18475, -41567, -73897, -115465, -166271?\nAnswer: -226315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26774, 107707, 242592, 431429, 674218, 970959?\nAnswer: 1321652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -13*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132*s**2 - 2*s**2 - 39*s**2 - 4*s**2 + 0*s**2 + 2*s**2 - 2*s - s**2 + 2*s + (-4*s - s + 3*s)*(-2*s - 2*s + 2*s) - s**2 - 2*s**2 + 4*s**2.\nAnswer: -171*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 123?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16671 = -117*j + 433*j + 1025 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 293 - 13\/13*36\/(-4). What is the greatest common divisor of 8909 and r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 11, c: 6}. Give prob of sequence cvv.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1627 - 1060. Suppose -309 = -12*z + j. Let w = 75 - z. Solve 0 = 5*y + 3*h - 9, 5*y + w*h = h + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 4275, 9621, 17105, 26727, 38487?\nAnswer: 52385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 9*l**3 + 9*l**3 - 23*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7103, -5, -533 in ascending order.\nAnswer: -533, -5, 7103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10 = -j, 0 = -4*o + 5*j + 122 - 85 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 129\/(-165) + (-30)\/(-50). Which is the second smallest value? (a) 2\/11 (b) w (c) 2\/3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4529.715 meters to kilometers.\nAnswer: 4.529715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 62 = -j. Suppose 11 = -4*x + j. Suppose 2*u + 2*u = 48. What is the remainder when u is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:34 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r + 4 - 3 - 1. Let j(b) = -249*b**2 - 7*b + 14. Let h(z) = -178*z**2 - 5*z + 10. Let o(i) = -7*h(i) + 5*j(i). Determine o(w(p)).\nAnswer: 3025*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-1*(-2)\/10). Suppose 409 + z = 4*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**6\/720 + z**5\/120 - z**4\/12 + 5*z. Let p(r) be the third derivative of l(r). What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1428 + -1429.902. Let h = -0.082 - p. What is h rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420368930 rounded to the nearest one million?\nAnswer: 420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57*n - 41*n - 62*n)*(4681*n - 4681*n - 71*n**2) + 2*n**3 + 4 - 4 to w*n**3 + f + h*n**2 + g*n and give w.\nAnswer: 11362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229296652.\nAnswer: 2, 13, 4409551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.03 in 3\/7, -3\/28, -4, 1\/3, 0.4?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 - 50. Suppose 3*p = p + k. Suppose x - 3 = 0, -p = -2*j - 5*x + 7. What is the remainder when 11 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * 228.\nAnswer: 82.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, r: 4}. Give prob of sequence tr.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1*(-2 - -1). Let n(s) = -4 + 5*s**2 + 4 - 1. Let k be n(y). Solve 3*w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4 - 7 + 6 - n - n. Is w(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0233 - -0.1233. Put 5, 4, -3\/5, b in decreasing order.\nAnswer: 5, 4, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 12, 4, 0.095, -2.6, -11 in descending order.\nAnswer: 12, 4, 0.095, -0.01, -2.6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k. Let t(h) = 18123*h. Give j(t(d)).\nAnswer: 126861*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 - 839*z**2 - 851*z - 12. Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -2) + (-66 + 11 - -22)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1309?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*u**2 + u**3 - 788*u**2 + 2355*u**2 - 787*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**2 + 4*n**2 - 3*n**2 + (0*n + 0*n - 2*n)*(-1387 + 1387 + 54*n) to f*n**2 + j + b*n and give f.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -273 - 15048?\nAnswer: -15332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146, -144, -142?\n\"Answer: 2*d - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8781, 8772, 8847, 9048, 9417, 9996, 10827?\n\"Answer: 7*n**3 - 58*n + 8832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/12 + -1 - (161\/(-84) - 1) and -95\/516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s - 5. Let x be z(-5). Let o = x + 7. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 8*x**2 - 130*x - 71. Let b be o(21). Calculate the highest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18229 (base 10) in base 2?\nAnswer: -100011100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 5*x - 53, -5*r - 113*x - 55 = -118*x for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1467*b**4*s**3 + 108*b**4*s + 95*b**2*s**3 + 3*b**2 - 1032*b*s**3 wrt b.\nAnswer: 35208*b*s**3 + 2592*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9072 and 252.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.69578 + 0.30422. Which is the second smallest value? (a) -2 (b) 0.09 (c) -0.2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1638.311 + -1639. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209801?\nAnswer: 209801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -84*w + 171*w - 95*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 24*a**3 - 42*a**2 + 12791*a wrt a.\nAnswer: 24*a**2 + 144*a - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -69823\nAnswer: -69822.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 25. Let l be -2 + b\/(15\/(-12)). Let u = 10 + l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 1. Let f = -43 - -42. Let t be s(f). Solve -12 = -t*m - 0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*o + 95 + 44, -5*o - 285 = -5*q. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 171, -221 in ascending order.\nAnswer: -221, -2, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:47 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -80\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9666*v - 341777 = 193142 - 167611 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 43 - 20 - 2*g - 23.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 1012 = j. Suppose v - j = -3*d - 4*v, -4*d + v = -115. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190770*c*x**3*z**3 - 136*c*x**3*z**2 - c*x**3 + 2*c*x**2*z - 2*c + 2*x**3*z**2 wrt z.\nAnswer: 1144620*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 14*u + 11. Suppose 4*t + 4*x - 58 = 6*x, -4*t = -4*x - 56. List the prime factors of p(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 585\/54 + 10\/(-12). Solve 0 = 6*j - w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -9 - (-21 + 10 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y)\/y**(-1)*(y*y**(-1)*y)**(-1\/13) assuming y is positive.\nAnswer: y**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. Suppose 2 = 4*g - d. Let p(z) = 2*z**3. Let y be p(g). Solve 3*v + y*v - j = -15, v = -5*j - 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6 + 23*o**2 - 1 - 6. Suppose -1 - 2 = 3*h. Is n(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.084 + -0.056. Let m = 1.249 - 1.19. Let h = v + m. What is h rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:50 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/3*0. Let f = -6 + 6.14. Let i = -0.04 + f. What is the closest to i in 0.3, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose -5*a + b*a = 5. Is 17 a factor of (a - -4 - 0) + 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/1)\/(-1)*-1. Is n + 3\/((-9)\/(-1191)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149 and -0.3?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {j: 3, f: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - -365. What are the prime factors of c?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j + 48*j = -205020. What is j rounded to the nearest 100?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**7\/378 - 7*t**6\/135 + 7*t**5\/30 - 4*t**4\/27 - 43*t**3\/54 + 5*t**2\/3 - t + 1263. Find j such that d(j) = 0.\nAnswer: -1, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6*o**2 - 771*o + 387 = 0.\nAnswer: -129, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 5781.4265.\nAnswer: 23125.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1*-4 - sqrt(70))\/(sqrt(360)*-2 + sqrt(360)) + 6*(sqrt(56)\/(sqrt(72) + sqrt(8)) + 5)*-4)**2.\nAnswer: 1240*sqrt(7) + 525127\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/13*-1*4\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 + m**2\/8 - m\/8 - 1\/8.\nAnswer: (m - 1)*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*p**3 + 2057*p**2 + 8336*p + 576.\nAnswer: (p + 8)**2*(128*p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/8 of a microgram in nanograms?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + s = 15, -i + s - 3*s = 15. Let x be 108\/(2 + i)*-8. Suppose -3*c - 54 = -x. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 603 and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 84. Are 31 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158464*x - 1158464*x - 135*x**2 + 132*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 49*t + 59. Give m(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1281*h + 13. Let q be g(-3). Suppose 2*y - q = 1878. Suppose 4*z - 3*l = y, -2*z + 5*l + 3590 = 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-32))\/(((-1)\/1)\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5938*z + 5858*z - 640 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.12851, 3\/4?\nAnswer: 0.12851","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -10578799.\nAnswer: -1\/10578799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -142. Which is the nearest to 2\/31? (a) g (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(304))*-1 + -4 + -3 + 0)*4*4*-3.\nAnswer: 480 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= 6016\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32 (b) -2\/15 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 55204 (base 11) to base 7\nAnswer: 452355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - ((-43 + 93 - 29) + -17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 37*v**5\/5 + v**4\/2 - 25*v**3\/3 - 5*v**2\/2 - 286. Find the third derivative of i(s) wrt s.\nAnswer: 888*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 3*c**2 - 3*c**2)*(-3*c + 9*c + 6*c)*(40*c + 26 + 14*c - 58*c) as z + t*c**3 + p*c + g*c**2 + u*c**4 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -6, -5, 1, 114 in increasing order.\nAnswer: -6, -5, -1, 1, 2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1299, -1305, -1321, -1353, -1407, -1489?\n\"Answer: -k**3 + k**2 - 2*k - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -222, -886, -1978, -3510, -5494, -7942, -10866, -14278?\n\"Answer: -2*k**3 - 202*k**2 - 44*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - v**2 + 3)*(-77 - 89 + 193)*(3*v - 3*v - v).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20837663513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 338*n - 354*n + 64 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(7*p - 7*p - 5*p**3 + (-2*p**3 + 0*p**3 + p**3)*(0 - 1 + 0)).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4*p + 71, 16*g + 14*p - 4 = 10*p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1259 millennia?\nAnswer: 1510.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1. Let p(k) = 17*k**3 + k. Let a be p(1). Suppose -a - 2 = 4*v. Let s = 3 + v. Let n(w) = -2*w**3 - 2*w**2 - 2*w + 2. Calculate s*m(r) + n(r).\nAnswer: -2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzq. Give prob of sequence qq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938799821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 4.04. Let c = 7 - q. What is the closest to -0.3 in 1\/6, 4\/9, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/39 + -3*(-8)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.17 in 0, -0.5, -2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 bigger than 2355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/91 and 87\/112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533 less than 6531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(9*12\/1512)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239668837?\nAnswer: 173, 1385369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*c**2*s**3 + 9*c*s**2 - 4*s**3 wrt c?\nAnswer: 410*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 557173 (base 10) to base 14\nAnswer: 1070a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnekkdelledplelekddl. Give prob of sequence depl.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 24 = -6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i - 6*i + 7*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10785801.86 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 7*v + 70420. Suppose -5*n - v + 11710 = 0. Let m be n\/(((-2)\/400)\/(-1)). What is m rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h**3 + 2*h**4 + (139*h**3 - 59*h**3 - 61*h**3 + (3*h**2 - h**2 + 0*h**2)*(-h - h - 4*h) + h**3 + 1 - 1)*(h - 2 + 2)*(0 + 5 - 3).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3 + 3)*(-2*i**2 + i**2 + 12*i + 3*i**2) in the form r*i + k + y*i**2 + j*i**3 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 301.1 + -309.1. Which is the third biggest value? (a) 0.4 (b) s (c) 20 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/133 (b) -14 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.39 + 6. Let a = y + -0.67. What is the second smallest value in -5, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((-378)\/(-70) - 8)*5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2223*r - 4309. Is s(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 16*l = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from iiiiliyyjy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (0 - -3) + 3. Suppose 136 = -3*h + 7*h - b*t, -4*t = -2*h + 70. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 + 0)*-2)\/(5\/(-175)). Let n be (4\/6 - 1) + o\/42. Let z be (-24)\/13 + (0 - -2). Is n bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025914807 rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 1. Let q be (-78)\/(-66) + 2 + (-48)\/22. Give u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-32)\/(v**(-1))**(1\/22))**18 assuming v is positive.\nAnswer: v**(3177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2419 - 0?\nAnswer: -2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4098 = 12*s - 1398. Let h be (-3)\/(s\/(-24375010)) + 4\/30. What is h rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -16443*d + 32887. Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 26826*y. Let s(g) = 8163*g. Determine o(s(v)).\nAnswer: 218980638*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7477, 4, 0, 42 in increasing order.\nAnswer: -9, 0, 4, 42, 7477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**4 + 3*j + 11*j**4 - 3*j - 3*j**2 - 2 to k*j**4 + o*j**2 + z + a*j**3 + n*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20492.\nAnswer: 2, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219101 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-9) + (-2)\/(-9). Let k = 3 + a. Suppose -k*r - 21 = -5*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 575738?\nAnswer: 4030166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*t**3 - 5*t**2 + 450*t + 5.\nAnswer: -5*(t - 1)*(t + 1)*(90*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94715299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -66*f**3 - 6*f**2 - f - 11. Let r(k) = -13*k**3 - k**2 - 2. Calculate 2*j(g) - 11*r(g).\nAnswer: 11*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 + (1 - (0 + 1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*n = -799976 - 57088. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:22 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -6*i**3 - 15*i**2 + 26. Find the second derivative of d(j) wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1202827 bigger than -1202917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 0 - ((6 - -4) + -34 + 1 + -24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3, 0, -7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 243 = 10*p. Calculate the remainder when p is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047234 rounded to six decimal places?\nAnswer: 0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(931) + (sqrt(57)\/sqrt(3) + 1)*4)**2.\nAnswer: 220*sqrt(19) + 2399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 1503, 20, 1099?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.999943 - 52. What is z rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 23 = 2*t + 4*f, t = -5*f + 24. Which is greater: -3\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((378672\/(-252))\/28)\/(3\/((-36)\/14)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:15 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 3*j, -3*q = -0*j + 4*j - 3. Suppose j = -5*r - 1 + 16. Solve 5*h - 3*g = -0*h + 22, -r*h = 4*g - 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s + 2*s + 0*s)*(6*s - 4*s + s) + 16*s**2 - 3*s**2 - 2*s**2)*(36*s + 82 - 82).\nAnswer: 288*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 878392258?\nAnswer: 878392192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 12, -4 in descending order.\nAnswer: 12, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 905*w**2 - 7149*w - 208. Give g(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 4. Determine u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 55*q**5 - 1990*q**4 + 2725*q**3 + 49070*q**2 - 102500*q + 17000 = 0.\nAnswer: -5, 2\/11, 2, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745694653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4879020 and 200?\nAnswer: 48790200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/4)\/((a\/(a*a**(-3\/7)\/a*a*a))\/a)*((a\/(a*a\/((a\/(a**(-4\/5)\/a))\/a)))\/a)**(11\/3) assuming a is positive.\nAnswer: a**(247\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001111200220 + 2?\nAnswer: -110001111200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14504*u**3 + 14938*u**3 + 42*u**2 - 42*u**2.\nAnswer: 434*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 49?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 39930?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20662 and 5832.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/565, 4.5, 0.4, 2\/51, -2\/11 in ascending order.\nAnswer: -2\/11, -2\/565, 2\/51, 0.4, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -54, -154, -288, -450?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itego. What is prob of picking 2 t and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55922 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2713975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 67*m - 91 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-14) - 4\/14. Suppose h - 3*h + 18 = 0. Solve 5*s = -2*c - c + h, -c - z*s = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0.03201, 5, -0.3 in descending order.\nAnswer: 5, 0.03201, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16519401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a + 4*a - 3*a - 5*a - 2. Let j(o) = -10*o + 2. Suppose 0 + 5 = -s. Let c(h) = -5*h + 1. Let i(q) = s*c(q) + 2*j(q). Give 5*i(m) - 4*t(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23956*i + 10808*i + 40762*i - 8017*i - 4732*i + (-4 + 0 + 3)*(-2*i - i + 2*i) to v + g*i and give g.\nAnswer: 62778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 34*h**2 + 52*h - 2. Determine f(-9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:14 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(3*2\/(-36)*4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 24 (c) 59\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h. Suppose -18*c = -21*c - 12, 0 = 4*z + c - 16. Let a(o) = -o. What is z*a(t) + k(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, 44 in decreasing order.\nAnswer: 44, 4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1152?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*b**3 + 21*b**3 + 19*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 1 + 5 - 5)*(-102*j + 196*j + 20 - 95*j).\nAnswer: -3*j**2 + 61*j - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10652, -5, 4, 3 in decreasing order.\nAnswer: 10652, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(44) + 2)*1)**2 - (sqrt(1100)*2*3*-6 + -5).\nAnswer: 197 + 392*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 1120, 1119, 1118, 1117, 1116?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*j - 6, 0*k + 4*j - 2 = k. Suppose k*r + 6567961 + 3512039 = 0. Round r to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -433*d**3 - 129*d**2 wrt d?\nAnswer: -2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.2 (c) 231\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 6*l + l)*(-1 - 1 - 2) - 2*l + 0*l + 5*l)*(l - l + 5*l)*(-2*l + 0 - 17 - 8).\nAnswer: -150*l**3 - 1875*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -15, -12, 3, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-9 - -17) + -6 - -58) + (-2 - 4).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*p**3 + 2263*p**2 - 27*p**3 - 101*p**3 - 97*p**3 + 1433*p**2 in the form r*p**2 + l*p + t*p**3 + y and give r.\nAnswer: 3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 44*f = -5*d + 933, -5*d + 2*f + 921 = 0. Is d >= 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 2. Let i be p(3). Suppose -m + 57 = 3*y, -y - 4*y = -i. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 24 = -6*t. List the prime factors of 6 + ((-1250)\/t - 4).\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 4*m + 9. Calculate h(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:24 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 242941.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 4*g + 2. Suppose i + 0*i = g. Let u(h) = -4 + 3 + 5*h - i. What is u(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 333627 = 12573 - 688815. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1573)*3 + -3))**2.\nAnswer: -1782*sqrt(13) + 127494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11171, -11109, -10795, -10103, -8907, -7081?\n\"Answer: 21*b**3 - 85*b - 11107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334880 by -11960.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.811 - 1.221. Let j = -10.589998494 + z. Round j to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) -5 (c) -2 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*f**4*i**2 + f**4 - f**2*i**2 - f**2 - 37*i**2 wrt f.\nAnswer: -6048*f*i**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f - 8. What is the remainder when (118 - -77)*((-9)\/(-9) + 3\/(-5)) is divided by q(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 134935822 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2 - -2) - 2. Let f be (13\/(-15))\/(6\/(-15)). Let z = f + -5\/2. Which is bigger: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-16)\/72)\/(95\/(-15) + 7). Let m = -6.98 - 0.02. Which is the closest to k? (a) -2 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 20, 37 = -4*x - 10*w + 5*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151721 and 30695?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 81850*v + 245595.\nAnswer: -5*(v - 16373)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -859, -1866, -2873, -3880, -4887?\n\"Answer: -1007*g + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*v**4 - 155*v**3 - 21*v**2 - 514760*v.\nAnswer: 624*v**2 - 930*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 170 = 3*z. Let s be 6\/21 - (-468)\/28. Calculate the greatest common factor of s and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 2*q**2 + 2*q**2 - 8*q**2 + 11*q**3 + 8*q**2 + (q**2 + q**2 - 4*q**2)*(2 - 2 - 2*q) in the form i*q + w*q**3 + o*q**2 + c and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8488349 is divided by 446754?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5572 + 5708 = 34*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 130008?\nAnswer: -1300.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*b - b. Let k = 0.1 + 0. Sort b, 0.4, k in decreasing order.\nAnswer: 0.4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tpocp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.8102087 months?\nAnswer: 0.000150850725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 + -2.4. Let i = 0.8 + g. Let q = 0.63 - 0.13. Which is the nearest to -1? (a) q (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-165))\/(20\/310) + -2 + (-36)\/60?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 848 = -2*n + 2*q, 0 = 5*q + 25. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -528, -901, -1274, -1647, -2020?\n\"Answer: -373*y - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -1\/3, 2 in decreasing order.\nAnswer: 2, 3\/8, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 240\/45 + 4\/18 + 105\/(-189). Solve 3*y - 7*y - 9 = -3*k, u*y + 10 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619177 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3 - 2 + 5*k - 4 + 10. Give l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1 - 102\/3. Let b(y) = -y**2 - 5*y + 3. Let q be b(4). Do q and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (4 + (-3 - -16) - 10)) + -36.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-28))\/(-1 + (-3030)\/(-3028)). Is 757 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2827 and 6425.\nAnswer: 70675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 31\/2)*(-6 - -8). Find the third derivative of 0*c**2 - y*c**2 - c**4 + 50*c**4 wrt c.\nAnswer: 1176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 13 = 49 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689273459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -6029?\nAnswer: 6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 6*g - 1. Suppose n = m + 2, -4*n + 11 + 3 = -m. Let c(v) = -v**2 - 1. Let j(y) = n*c(y) + z(y). Determine j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1764792)\/40132 - 44\/(-1)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - -3390081399805.\nAnswer: 3390081399795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 5:47 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 16, 2, -1 in ascending order.\nAnswer: -1, 2, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2825, -536, -9635, -27340, -56519, -100040, -160771, -241580?\n\"Answer: -478*k**3 - k**2 - 12*k + 3316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.9 + 39.8. Let q = 27 + -30. Let z be (q\/2)\/((-12)\/4). Which is the biggest value? (a) -2\/3 (b) z (c) -2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19539 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2\/3*a**4 + 4*a**2 - 13*a - 8 + 2*a**3. Let u(g) be the first derivative of r(g). Factor u(t).\nAnswer: -4*(t - 2)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.16 and -19.15788019.\nAnswer: -18.99788019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 20*i - 270. Let o(j) = 7*j - 90. What is 5*a(m) - 14*o(m)?\nAnswer: 2*m - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*o - 3, -4*o = -2*q + 138 - 164. Solve 2*p - o*h = 3*p + 21, -5*p - 3*h - 39 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11360 - 7269. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.059995*-37.4\nAnswer: -2.243813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**6\/720 - c**5\/120 + c**4\/16 + 3*c**3 + 14. Let u(m) be the third derivative of v(m). Factor u(g).\nAnswer: -(g - 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 7*w**2 - 4*w - 5. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1144349 (base 12) to base 5\nAnswer: -1322401121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Suppose -5*c = -3*b + 8 - 3, b + 3*c = 11. Suppose 4 = -r + b*t, 3*r = -5*t + 3 + 5. Sort -4\/3, r, u in increasing order.\nAnswer: -4\/3, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 120.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5 - c618?\nAnswer: -c6fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**2))\/v)**(-4\/7)*(v*v**(-2\/9))**(-1\/5) assuming v is positive.\nAnswer: v**(491\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 32*b + 9*b**2 + 25*b - 2*b - 11*b**2 + 2*b.\nAnswer: -2*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 7, l: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(21\/(-48))*((-357)\/3)\/17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16)*(-7 + 11))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 147. Suppose -z - a = -5*z + 1360, h = z + 3*a - 340. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2514 and 5.\nAnswer: 5.2514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.3 (b) -0.127 (c) 401\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91 and -0.3357.\nAnswer: 30.5487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 37, 88, 175, 310, 505?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 3353*r\/3 - 1118.\nAnswer: (r - 1)*(r + 3354)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15 - (-3)\/(-15). Which is the smallest value? (a) -7\/4 (b) -4 (c) 0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 0*g**2 - 5*g**2 + 3*g**2 - 4*g**2 + 0*g**2 + 5*g**2 + (g**2 - g**2 - 2*g**2)*(2 - 5 + 4).\nAnswer: -3*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 92467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*-4)\/(-1*sqrt(5)*2) + (-2 + sqrt(612) + 1 - (sqrt(612) + 0 + 1))**2.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-6 + 5) - 4) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1 + 1 - 2. Let g = -21 - -20. Let f(y) = 5*y**3 + 4*y**2 - 2*y + 5. Let x(t) = -t**3 + t - 1. Let n(d) = g*f(d) - 4*x(d). Determine n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 52782*l. Let g(o) = 3*o. Determine g(d(q)).\nAnswer: 3*q**2 - 158346*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 >= 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20734669.213 rounded to the nearest one thousand?\nAnswer: -20735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9877 + -39507\/4. Sort 41, h, -3 in descending order.\nAnswer: 41, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27 + (3\/(-5) - (-32)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0 (b) -1325 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*q - 25128 + 2913 = 13999 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n - 172. Let c = -263\/6 - n. What is the common denominator of -125\/6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1 (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-46) + (-1530)\/391?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1150*q**2 + 299*q - 299. Suppose 49*t + 30 = 44*t. Let u(v) = 23*v**2 - 6*v + 6. Let p(o) = t*l(o) - 299*u(o). Let i(z) = 7*z. Give i(p(f)).\nAnswer: 161*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 2*h**4 + 3*h**3 + (4*h**2 - 3*h**2 - 5*h**2)*(-4*h**2 + 4*h**2 - h**2).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 + 15*s - 38. Let v be g(-12). Let z = v + -30. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/9 - 50445554*l\/9 - 11210124 = 0. Calculate l.\nAnswer: -2, 25222779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrrrjjrjydryr. Give prob of picking 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/22 and 6\/(-58)*210\/40.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 5*o**2 - 44 + 0*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(216))\/sqrt(8)*3.\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010100 - 1000?\nAnswer: -1110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 96 = 64*c. Let y(k) = c - 34 - k**2 + 2*k + 31. Calculate y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.98 - -23. Let f = k + -0.019998. What is f rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57879 - 14390. What are the prime factors of h?\nAnswer: 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 673 + -671. Let f(z) = -z**2. Let i(g) = -4*g**2. What is r*i(d) - 9*f(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 + d + 3. Let x be t(0). Suppose -x*u + 2*u = -2. Suppose q - u*l = 2, 3*l + 3 = 3*q + q. Put -1, q, 1 in decreasing order.\nAnswer: 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258660 or -4.23?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 95. Suppose 4*h = 5*x + u, 5*h + x - 89 = -29. Let p = h - 4. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/10)\/(-6 + 124\/20). Suppose -3*i = 2*z + 25, -38 - 2 = 5*z + 3*i. Sort -59, f, z.\nAnswer: -59, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 460 = -160. Calculate the remainder when 958 is divided by s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 1. Let g be b(1). Suppose -3*c + g*c = 17. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least -5644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (-1*sqrt(980) - sqrt(980) - sqrt(980)))\/(sqrt(10) + 2*sqrt(810)) + 3*((sqrt(288)*-3 - sqrt(288))**2 + sqrt(288))*-5.\nAnswer: -69120 - 3398*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 + -35. Let v(t) = -52 + c - t**2. Let i(b) be the first derivative of 3*b**2 + 6. What is v(i(w))?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855.3893 meters to nanometers.\nAnswer: 855389300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 + g + g - 2*g**2 - 200)*(4 - 4 - 4*g**2).\nAnswer: 8*g**4 - 8*g**3 - 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.947236814 rounded to two dps?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + -23 - -30) + -29.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-96)*(-4 + 1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**2*n**4 + a**2*n**2 + 8*a**2 + 820*a*n**2 - 2*a + 25731*n**4 - 3*n**2 wrt n.\nAnswer: -288*a**2*n + 617544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-16)*4\/5. Which is greater: -25 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5\/105*-3)\/((-4)\/4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2))\/((-4)\/(-4)). Suppose o = -3*t + 5*t - 28. Suppose -2*q + t = -2*f, 0*f - 11 = -5*q - f. Solve 0 = 2*z + q*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*-2*6*sqrt(18).\nAnswer: -216*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -4 - 58\/18. Which is the third biggest value? (a) 2\/3 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 368*n + 1504.\nAnswer: -2*(n - 4)*(n + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 69. Suppose z = a*z - 275. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:50 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/((-1440)\/126)*(-18)\/(-36)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(425) - (sqrt(425) + 2 + sqrt(425)*2)**2) + sqrt(425))*-3.\nAnswer: -68922 - 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116724499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39481334917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218561 to the power of 1\/2, to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n*n\/(n*n*n**(1\/3)*n))\/n*n*n*n*n)\/n*n\/(n**(-7)*n))\/(n**(-1)\/((n**(-1\/3)*n)\/n)))**49)**48 assuming n is positive.\nAnswer: n**21952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 268*i - 24007. Give m(-77).\nAnswer: 2558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/30*4\/5. Let l = 8 - 14. Let r = -10 - l. What is the third biggest value in r, s, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2.2, -2\/11, 3\/7 in increasing order.\nAnswer: -0.3, -2\/11, 3\/7, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 3?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 13\/73, 0.03 in decreasing order.\nAnswer: 13\/73, 0.03, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26730864 by 4317.\nAnswer: -6192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyrynnnlnlnlyzzy. Give prob of picking 2 l and 1 r.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5053 (base 6) to base 13\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 3, i: 1, r: 1, o: 6}. What is prob of picking 1 q and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370412 + 370414. Let w be (0 - (-1)\/2)*-1. What is the nearest to -1 in w, k, 1, -0.09?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 13*m**7\/105 - 43*m**5\/20 + 703*m**3\/6 + m**2 + 14. Differentiate t(k) wrt k.\nAnswer: 104*k**3 - 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -7.9. Let m = 12.1 + g. Round m to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 9*n**2 + 4*n - 18. What is the units digit of y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1179.60026012 + -1179.6. What is l rounded to 6 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*j = -250*j + 581*j + 7526 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374827578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10837 = -430*h - 2*h - 21131 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 12756*w**2 + 169*w**2 - 8*w**2 - 12 to x + h*w**2 + p*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/77*(16\/4 - 15\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:17 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89 - -42) + -1 - -28) + (2 - -106).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1806 and 602.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 13\/(-234) - (-4)\/(-72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-30)\/(-9))*(-2 + 2423) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5 - 13079*a**4 + 42666807*a**3 + 642843299*a**2 + 344005568*a - 3600509556 = 0.\nAnswer: -14, -3, 2, 6547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = -5*w + 15, 0 = 4*w - 2*y + 10. Suppose 2*i + 3*u + 2*u - 26 = w, -4*u = -16. What is the lowest common multiple of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -265, 23, 503, 1175?\n\"Answer: 96*s**2 - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91, -336, -745, -1318, -2055, -2956?\n\"Answer: -82*v**2 + v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (-238 - -250)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -58675929150 to the nearest one million.\nAnswer: -58676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*96\/72\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**4 + 25*d**3 + 16*d**2 - 10*d - 6. Let h(q) = -9*q**4 - 24*q**3 - 17*q**2 + 10*q + 8. Let z(y) = -3*h(y) - 4*j(y). Factor z(t).\nAnswer: -t*(t + 1)*(t + 5)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*l + 15. Suppose -4*y - y = l, -8 = -2*g + 2*y. Determine p, given that 1\/4 - 1\/4*p**2 + g*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6 - 2*l**5\/5 + 131*l**2\/2 + 43. What is the second derivative of m(v) wrt v?\nAnswer: 120*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v)*(-4*v + 4*v - v) + 2*v**2 + 2 - 2 + 1103043*v - 1103043*v - 10785*v**2.\nAnswer: -10784*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29391, -29403, -29415, -29427, -29439, -29451?\n\"Answer: -12*s - 29379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-13) + (-8)\/(-52). Solve s = -5*v + 9, k*s + v = 5*v - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*x + 16, -5*f - 5 = 2*x - 1. Suppose -x*s = -43 - 26. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-11 - -24)) + 4 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 3*f**3 + 5*f**3 + 19*f**2 - 70 + 22 + 24 + 39*f as w*f**3 + h + a*f + t*f**2 and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnb when three letters picked without replacement from ublnbubnulnbbubmbn.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3\/(-4)))\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*a - a + 1365 = 0, s = -5*a + 273. Let w(h) = -2*h + 7*h + 2*h**2 - 114 + 111. Let b be w(-6). Calculate the highest common divisor of b and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -4173.62.\nAnswer: -4176.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113443121 (base 5) in base 16?\nAnswer: 7f4ff0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + n)*(-4*n**3 + 2 - 2)*(-n + 4*n - 4*n) - n**5 - 2*n**5 + 4*n**5.\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/30 + h**3 - 6*h**2 + 2*h. Let t(x) be the first derivative of u(x). Find the first derivative of t(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.5. Let m = k - 0.8. Let j = -0.3 + 0.4. Which is the nearest to j? (a) 3 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, -3155, -5\/4, 1, 2.2, 7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/18)\/((-60)\/(-810)). Let d(l) = 2*l - 5. Let i(v) = 3*v - 6. Calculate a*d(u) - 5*i(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*k + 71*k + 52*k)*(-2*k + 6*k - 3*k)*(-5 + 5 - k**2).\nAnswer: -234*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -30. Let p = r + -22. Calculate the smallest common multiple of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i - 1. Let c be n(-7). Suppose 3*t - c*t = 0. Suppose t = 2*o + x - 7, -3*o = 3*x + x - 13. Solve 3*k - o = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -79*u - 1. Let r(s) = 2*s**2 - 1719*s - 2. Determine b(r(f)).\nAnswer: -158*f**2 + 135801*f + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 3*o + 3. Let g be (-9)\/4*4\/(-3). Let y(i) = 0 + g*i**2 - i - 4 + 3*i. Let u(f) = 4*t(f) + 3*y(f). Find the second derivative of u(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 182*y**3 + y**2 + y - 1. Let m be x(-1). Is (m\/(-12) - 2)\/(4\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.3 + -8.7. Let m = g + 37.00017. Round m to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -28. Let i = 13 + m. Let c be (-15)\/i*2\/(-3). Let z(b) = -3*b**2 - 2*b - 1. What is z(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/5, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, 0 in decreasing order.\nAnswer: 2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5*(-8*5)\/(-2). Suppose -8*n = -10*n + j. Suppose n*u = 5*p + 777, -3 + 13 = -2*p. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 548412046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.07 + -0.93. Let b = 0.27 - 0.27. What is the smallest value in -4\/3, u, -13, b?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45123 divided by -1?\nAnswer: 45123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsp when three letters picked without replacement from vtsarapr.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31621 is divided by 4977.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -669000 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:33 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 8*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -125. Suppose 132 = x*q + 20. What is the lowest common multiple of q and 2\/3 - 58\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1224642.\nAnswer: 4898568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 2*t - 1615 = 3*d, d + 4*t = 305. Suppose -4*b + 0*b + 636 = 4*m, -2*m + d = -5*b. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstsqrqs. What is prob of sequence sq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 24*u. Let w be c(0). Solve 4*v + 3*v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**4\/12 - u**3\/3 + u**2 - 3*u. Suppose -18 = i - 20. Give j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27255330 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, h: 3, k: 1}. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*l**4 - 48*l**3 - 111*l**2 + 305704*l + 39.\nAnswer: 1008*l**2 - 288*l - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/3))**(-5))**(4\/19) assuming y is positive.\nAnswer: y**(-80\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 2*r + 4*v, 0*r + r - 133 = 2*v. Let u = -41 + r. What is the units digit of (u\/(-50))\/((-3)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -2 - (-18 - (-8 - 12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1782.9 to the nearest ten.\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (-29 - -6 - -107).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10263.9 take away -0.5850847?\nAnswer: -10263.3149153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/((z*z**(-1\/19)*z)\/z)*(z\/z**0*z*z)\/(z*z**(2\/5)) assuming z is positive.\nAnswer: z**(-508\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -0.4 (c) 3\/19 (d) 2\/7 (e) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 - 12\/(-16)). Suppose f = 5*r - 3*r. What is the third derivative of 110*s**r + 2*s - 2*s - 3*s**4 - 103*s**2 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x - 10. Let v be y(2). Let f be 6\/(-18) + (-4)\/v + 3. Solve 5*s = -4*r + 31, r + s - f - 5 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpopf. What is prob of picking 2 f, 1 o, and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -1*sqrt(209))*-1)\/sqrt(11)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -3.7851684077?\nAnswer: -3.1851684077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5037433853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/3010 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 - 6*v + 6. Let s be o(6). Let k(b) = -b**3 + 8*b**2 - 3*b - 4. What is the remainder when k(s) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13 + 7 = 0. Let j = d + 5. Suppose 5*h - g - 3 - 3 = j, -h - 5*g - 4 = 0. Solve 11 + h = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a - 30*a - 30*a + 84*a + 895*a**2.\nAnswer: 895*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 14217?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/8)\/(-1) + 6494\/(-408)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1075147.7531819 - -0.2468181. Let b = 1074313.663 - v. Let x = -834 - b. Round x to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192090 and 240?\nAnswer: 1536720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 147. Suppose 7*c = -d + 123. What is the remainder when 48 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Let y be -3 - -1 - m - -2. Suppose y*d + 28 = 6*d. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - -1)) + 0 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102222 + 200?\nAnswer: 11110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3066000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 57792?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1175 - 1165. Which is the second biggest value? (a) -0.4 (b) 2\/29 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13434005 and 1695.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193853534*n**2 - 5*n + 16369298 wrt n?\nAnswer: 387707068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:38 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -36*a + 183. Let n be d(6). What is the units digit of (n - 684)\/(3\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 - 329. Is m at most -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*k = -36, 10 = -3*p + 5*k + 39. Suppose -30 = -2*z + p. Solve 4*b + 4*m = -16, -5*m - 1 - z = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**6\/480 - s**5\/60 - 5*s**4\/96 - s**3\/12 - 3*s**2\/2 + 3. Let b(q) be the second derivative of h(q). What is i in b(i) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)*j)**(-30) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 3.92. Let n = 93199 - 465993\/5. What is the third smallest value in 2\/27, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from pppe.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/70 and -151\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-28 - 56)) + -141?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/67076180?\nAnswer: -9\/67076180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 15*w + 1. Is j(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 985 and 136.\nAnswer: 133960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 316498447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 18 - 16)*((-2*v + 2*v + 2*v)*(2*v - 2*v + v) - v + 2*v**2 + v).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -44. Let f = 49 + x. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -511392 = -511393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(102)*1)\/sqrt(6)).\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*j**2 + 50*j**3 - 2*j + 3*j + j + 100*j**2 in the form d*j + k + l*j**3 + z*j**2 and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -76, -110, -164, -256?\n\"Answer: -3*n**3 + 17*n**2 - 62*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -105, -365, -845, -1611?\nAnswer: -2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 3315*r**4 - 13230*r**3 + 19830*r**2 - 13215*r + 3303.\nAnswer: -3*(r - 1101)*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x - 526 - 563 = -1011 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 2*l**3\/3 + 3*l - 217. Let y(s) be the third derivative of -s**5\/20 + s**4\/12 - 15*s**2. Give y(v(q)).\nAnswer: -48*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 79874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -424.68643?\nAnswer: 420.68643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2560*d**3\/3 + d**2 + 4176*d + 5931. Differentiate f(r) with respect to r.\nAnswer: -5120*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(480\/(-6))*-12)\/(-15*36\/(-200))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -271 and 4243.\nAnswer: -1149853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32674.85 milligrams in tonnes?\nAnswer: 0.00003267485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 17 - 3 = -4*f - 1, 0 = 26*v + 5*f + 724 - 594 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401700?\nAnswer: 2, 3, 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*w + 1123*w**3 + 115*w + 2090833*w**2 - 2090833*w**2.\nAnswer: 1123*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 2*k**2 + k + 2. Let j be i(-1). Let l(x) = 8*x + 6*x - 18*x + j + 5*x. Let n be (-2)\/(-2) - (-2 - -1). Give l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:24 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 712 - 3*d**3 - 4510*d**2 + 2256*d**2 + d**3 + 2254*d**2 to the form f*d**3 + c*d + k*d**2 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = z + 2 + 1, m - 9 = 3*z. Let t = m - -3. What is the remainder when 9 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2105*j**4 - 8430*j**3 + 2145*j**2 + 12620*j - 60 = 0?\nAnswer: -1, 2\/421, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpqpuuppwawe. What is prob of sequence pqpe?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2995 = -113*i + 2881. Is i less than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1471*g**2 + 1581*g - 5?\nAnswer: -2942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48349.85 litres?\nAnswer: 48349850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5 + 39. Let n = 8 - 4. Suppose 0*s - 4*s - 4*v = -44, -v = -n*s + 24. Calculate the lowest common multiple of s and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/351)\/(1\/6). Which is the third biggest value? (a) n (b) 4 (c) -0.5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1009, -2, -6, 4 in ascending order.\nAnswer: -6, -3, -2, 4, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792886173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 + 20*g - 288 + 132.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -11*v**3\/2 + 3*v**2\/2 - 2308*v. Let u(f) = 33*f - 2. Calculate 2*n(q) + 3*u(q).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 1\/3, -1, 0.0493, 4?\nAnswer: 0.0493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**14*o)\/o)\/((o\/(o*o*o**(-1)\/o*o))\/o) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 858.9993 kilograms?\nAnswer: 858999300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(931) + 4*sqrt(931) + -5)**2 + sqrt(931) + 3.\nAnswer: -343*sqrt(19) + 23300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.1. Let x = 6.4 + -6. Let p = 0.6 + x. Which is the closest to p? (a) v (b) 4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*x = -5, 3*f - 462*x - 3 = -458*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + 11*x - 8. Let u(d) = -3*d**2 - 10*d + 5. Let r(v) = 5*u(v) + 4*z(v). Suppose 0 = -3*y - 2*i + 1 + 7, 0 = 2*i + 10. What is r(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + z = 2, -20 = 5*v - 669075*z + 669070*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -59. Let s be 356\/x*1\/(-30). Let m = s - -7\/27. Is m less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2320 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (-3 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697*h = -695*h - 6. Sort h, -20, 2 in increasing order.\nAnswer: -20, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:30 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 take away 20761?\nAnswer: -20689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 7797733.\nAnswer: -5458413.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 23. Let z be c(-6). Let o = 9 - -33. Suppose -z*u + 93 = -2*j, -j + o = 5*u - 39. What is the highest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**3)\/(n**(-10)*n)*(n**(2\/5))**12 assuming n is positive.\nAnswer: n**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1687\/10, -69, 0.17?\nAnswer: 1687\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/312 and -37\/10632.\nAnswer: 138216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, v: 1}. What is prob of sequence aa?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1361 + 9688 = -3*y, 3*y = -4*t + 14725. Let g = -2618 + t. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -8. Let m be (-6)\/4*40\/z. Solve 0 = 5*v + 3*s + 16, -5*v - 25 = -m*s + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 84. Is v equal to -10\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-40) + (-62)\/10. Let c be 16\/p*18\/(-12). Let z(j) = -j**2 + 4*j. Determine z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1363492*g + 4090467. What is o(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7))**(-17\/4)\/((p*p**4)\/p**(2\/9)) assuming p is positive.\nAnswer: p**(-755\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -181*f**7\/42 + f**4\/12 + 37*f**3\/3 + 83*f. Find the third derivative of t(n) wrt n.\nAnswer: -10860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 17*o**2 - 19 to y*o**2 + d + r*o and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-44)*(-8)\/(-2)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 1182002 (c) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1, -3 in descending order.\nAnswer: 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 + 1)*(-2 - 2*u**3 + 2 + 2*u + 7*u**3 - 2*u + (0 - u + 0)*(0*u**2 - 3*u**2 + 2*u**2) + 2 - 2*u**3 - 2).\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 30?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/6*(1 + 1). Solve -b*k + 4 = -h - 2, 3*h + 5*k - 22 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740846 is divided by 12246?\nAnswer: 6086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - o - 5*o**4 - 4*o**4 + 5*o**4 + 2*o + 1 to the form z*o + f + d*o**4 + c*o**2 + s*o**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1658.2 - -1658.4. Which is the smallest value? (a) 3 (b) -1\/4 (c) 0.03 (d) o (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.5 + -61. What is the nearest to -1 in -9, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = -0*b + 4*l, 2*b - 22 = 2*l. Suppose 4*i - b = 2*i. Suppose i*y - k - 893 + 254 = 0, -3*y - 2*k = -373. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 622522103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 127*u**2 + 2*u - 6. Let s be h(2). Calculate the greatest common divisor of 46 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from {r: 1, c: 6, v: 7}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let v(b) = 2*b**3 - b**2 - 2*b. Let i(r) = 3*r**3 + 22*r**2 - 78*r + 43. Let l(a) = i(a) - v(a). Let y be l(-26). Determine s(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 1\/7 (b) -0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12, 3\/248, -8, -7\/5, 5\/4?\nAnswer: 3\/248","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 - 2*q + 6. Let m be o(5). Suppose 0*s = -4*s + 60. Let g = m - s. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1784169138 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-6*(sqrt(1053) + sqrt(1053) + 2) - sqrt(1053))**2 + (sqrt(91)\/(sqrt(7)*-2) - (0 + (sqrt(13) - (1 + sqrt(13)))))).\nAnswer: 16845*sqrt(13) + 1068612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 17 - 23. Let g be (6\/(-10))\/(c\/40). What is the second derivative of g*y**3 + 6*y**3 + 10*y - 2*y**3 - 3*y wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -288\nAnswer: 5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**5*y + 2*v**3 + 2008*v**2*y**3 - 9*v*y**3 - 7*v*y wrt v?\nAnswer: -60*v**3*y + 12*v + 4016*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 15, -16, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -1680481\nAnswer: -13\/1680481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u - 275*u + 147*u = -123*u - 3960 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**3 + 2*b**2 + 2*b + 1. What is the units digit of o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/((d*d**(-17))\/d*d))))\/(d\/(d*d*d**(-1\/5)*d)))\/(d**(6\/19)\/d**(2\/35)) assuming d is positive.\nAnswer: d**(2466\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8250)\/(-429) - 152\/8.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*p - 4*p. List the prime factors of p\/2 - (-1)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 23769504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 316044.2l?\nAnswer: 316044200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239 + -85. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/760968 and -1\/351?\nAnswer: 760968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:43 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let r(u) = 2*u**2 - 2*u - 1. Let h(y) = -d(y) + r(y). Let z(c) = 2*c**2 - 3*c - 2. Let n be (10\/6)\/(2\/(-6)). Calculate n*h(m) + 3*z(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34.90469nm?\nAnswer: 0.000003490469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1145951778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - 5\/(-3). Let g be -2 + v - (-1 - 1). Let t(k) = 3 - 2 - k + g - 4. Determine t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 3602000?\nAnswer: -3601653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15007199\/170 + 88277. What is the common denominator of -97\/110 and w?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 5. Suppose 13 - v = -4*r. Let h = -19\/33 + -12\/11. Which is the third biggest value? (a) -5 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faaqqlffqaf. What is prob of picking 4 f?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -671807 divided by -29209\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36599.55um?\nAnswer: 3.659955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3) + sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3))*5*2)**2.\nAnswer: 24000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 33.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-31)*w*w**(5\/2)*w*w assuming w is positive.\nAnswer: w**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2549.6 - 2549.9. Which is the nearest to 0.2? (a) 0.5 (b) 7\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4446 is divided by 558.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t)**(-5\/17)*(t\/(t*t\/t**(1\/5)))**(-1\/2) assuming t is positive.\nAnswer: t**(159\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*u - 36, 6*r - 9*r + 5*u + 98 = 0. What is the least common multiple of r and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 78?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 4, -4\/66497?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/75 and 1 + (-386)\/(-180) - (57 + -54).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 48 = -5*h + 3*h, 0 = 4*h - 5*c + 132. Let x = 45 + h. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 + p. Let k(l) = 68*l**3 - 4*l + 71*l**3 + 3*l - 193*l**3 + 51*l**3 - 3*l**2. Determine -2*k(h) - 4*t(h).\nAnswer: 2*h**3 + 10*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 72. What is the lowest common multiple of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6278635*k**2*w**2*z**3 - 6*k*w**2*z**3 - 2*k*w**2*z - 2*k*z + 11*w**2*z**3 - 4*z**3 + 3 wrt k?\nAnswer: 12557270*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/2 + 0 + (-3978)\/18. Is -1503\/7 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 235000 - -1*10*(-33)\/33. What is l rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -12 - (1 + -14) - (-7 + 49).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*n**3 + 465*n**3 + 1002*n**3 - 509*n**3 - 458*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*450\/(-40).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 88.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*k**2 - 23833*k - 7459102 wrt k?\nAnswer: 84*k - 23833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 988346 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i + 91*i**4 - 55*i**4 + 44*i**4 - 732 + 755*i**4 wrt i?\nAnswer: 3340*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7872*i - 351 + 181 + 170 as a + u*i and give u.\nAnswer: -7872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 27*h**2 + 63*h - 33.\nAnswer: -3*(h - 1)**2*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13417*b**3 + 389*b**2 - 12*b - 29444 wrt b.\nAnswer: 80502*b + 778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14612, 29225, 43838, 58451, 73064, 87677?\n\"Answer: 14613*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2621, -10553, -23767, -42263, -66041, -95101, -129443?\n\"Answer: -2641*n**2 - 9*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 2*6\/(-4). Let a(d) = -d - 19. Let z be a(p). Let m(l) = -l**2 - 7*l + 7. Let n be m(-10). Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746785 divided by 57?\nAnswer: 746785\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8444 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -531, -531, -529, -525?\n\"Answer: a**2 - 3*a - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9457 - -104029\/11. Sort s, 34, -5, 0.4 in descending order.\nAnswer: 34, 0.4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 2) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2995.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 37, -10, -93, -224?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4964 and 3066?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-3 - -3) + -10 - (1 + -6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115292371 rounded to 4 decimal places?\nAnswer: 0.1153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**2))\/(t**(-14)*t))\/(t**1*t*t**12) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2\/5, -4, 255.7, 0.11, 0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**5\/120 + 11*b**4\/24 - 2*b**3\/3 + 2. Let l(v) be the third derivative of x(v). Let c(a) = 2. What is -11*c(f) + 2*l(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901120767.\nAnswer: 7, 13, 443, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 + 116 + (3 - 25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 48, 1\/25318, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8307 is divided by 171.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 983250 and 54720.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 117*t + 5 - 118*t + 46*t**2 + 264*t - 6.\nAnswer: 46*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51403\/6 + 8592. Find the common denominator of 94\/(-36) + 0 - -2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -54. What is the tens digit of 2*(-2)\/y*196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3)\/(1\/(-7))*42\/49\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 110*r**2 - 45*r. Let x(d) = -22*d**2 + 4*d. Let h(f) = -50*f**2 + 8*f. Let s(b) = 2*h(b) - 5*x(b). What is 4*g(j) - 45*s(j)?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-92)\/(-20) + 6\/15. Suppose w = 5*g - 20. Find the second derivative of -4*r + 3*r**5 - 7*r**g + 0*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 2 g when four letters picked without replacement from {f: 1, a: 6, d: 2, g: 2, w: 1, v: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + t + 12 = 0, 4*k - 4*t = 6*k + 18. Let m(q) = q**3 + 5*q**2 + 5*q. Let c be m(k). Factor -c*f**3 - 58*f**5 + 2*f**3 + 59*f**5.\nAnswer: f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 236*(-3 - (-3 + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2884*v = -1683*v - 1318*v + 11176 - 5291 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*k - 1. Which is the closest to k? (a) 11\/4 (b) -0.2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.56637 micrograms to kilograms.\nAnswer: 0.00000001856637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*f**3*s**2 + 11*f**2*s - 2*f*s**2 - 7*s**2 wrt f.\nAnswer: -738*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - -3*60\/9 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 5\/38, -7\/3, -2?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 9*w + 11. Let k be i(7). Let c(u) = -u**2 + u + 2. Let y be c(k). Let p = 14 + y. What is the highest common divisor of p and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 904*m**3 + 177*m**2 + 174*m - 1. Give y(-1).\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 14. Let s = -7.9996 + w. What is s rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -7. Suppose 5*x + 5*d = 0, -4*x - 5*d - 28 = -6*x. Suppose 3*s + 1 = x. Sort 2, s, c in decreasing order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = -9. Suppose -v + 1 = 5, -2*k - l*v = 6. Suppose 3*h = -k*h + 48. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0 + 2\/5*z**6 - 4\/21*z**7 + 0*z + 24\/5*z**5 + 0*z**3 + 0*z**4 - 139*z**2 + 1\/84*z**8. Suppose l(p) = 0. Calculate p.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**4 + 5*b**5 + 0*b**5 + (-1 - 2*b**5 + 1)*(4 - 2 - 3).\nAnswer: 7*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77528214?\nAnswer: 2, 3, 461, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 2405.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-1 + 29 + -61)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 4, 0, -6, 49, -5 in ascending order.\nAnswer: -6, -5, 0, 1, 4, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6225 is divided by 1053?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/3 + 1648*n\/3 - 1390312\/3 = 0 for n.\nAnswer: -1342, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 + 8*c**2 + 11*c + 4. Let u(t) = -20*t**3 - 23*t**2 - 31*t - 11. Let x(q) = -17*l(q) - 6*u(q). Let x(w) = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1911, 6618, 14115, 24396, 37455, 53286, 71883?\nAnswer: 93240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/28 + (-1024)\/(-28). Suppose 2*o = -r - 0. List the prime factors of (6\/(-4))\/(o\/168).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 38*b - 124. Let f be k(-3). What is the greatest common factor of f and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(704) + sqrt(704) - (2 + sqrt(704))*-2)**2 - (2*sqrt(3300))\/(-3*sqrt(108) + sqrt(108)).\nAnswer: 965*sqrt(11)\/3 + 11289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1104, -1106, -1108, -1110?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -2\/9 (c) 2 (d) 125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-249024)\/(-7782)*9\/(-16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146987999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1229*41\nAnswer: -50389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -83, -1\/2, -0.046 in descending order.\nAnswer: -0.046, -1\/2, -0.9, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344836 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35903736 and -83\/736.\nAnswer: 143614944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -142. Let j = c + -66. Solve -4*b = -j*x - 11 - 6, 2*x + 2*b = -2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - sqrt(144)*2)\/sqrt(3))**2 + (sqrt(243) - (1*(-1 + sqrt(243)) + sqrt(243))**2).\nAnswer: -925 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(2\/(-8))\/((-15)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 22. What is the remainder when 137 is divided by u(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = 5. Suppose 0 = -4*s + x*s + 42. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q**(1\/5))\/(q**2*q**(3\/2)))**(-9\/5))**(1\/16) assuming q is positive.\nAnswer: q**(387\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 48*q**3 + 14*q + 7 + q**2 + 12 - 17*q + 46*q**3 to f*q + y + w*q**3 + v*q**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 872831353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 490*j**4 - j + 93?\nAnswer: 5880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Let s = v + 2. What is the third biggest value in s, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 8*w - 9*w - 5*t, 4*w + t + 22 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3223029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, 71, 274, 581?\n\"Answer: 52*f**2 - 57*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -2\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 280456 and 0.01.\nAnswer: 2804.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13604566*b**2 - 2689084*b wrt b.\nAnswer: 27209132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by (-3)\/(-15) - 288\/(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 192, 300, 6?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 0.022 (c) 0.2 (d) -1160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 2*h**2 - 6*h + 5. Let q be k(1). Calculate the greatest common factor of q and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 29 + 1 + 3 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1526, 12244, 41324, 97946, 191290, 330536, 524864?\nAnswer: 783454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 9 + 93*z - 12.\nAnswer: 93*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5. Which is greater: -1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/23)*m)\/((m\/((m*m*m**(6\/11)\/m)\/m))\/m*m*m)*((m**10*m*m)\/m)\/m**(2\/21) assuming m is positive.\nAnswer: m**(60373\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7376 divided by 16\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2 + 6*f - 34. What is w(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3801b (base 14) to base 11.\nAnswer: -94110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 1694?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18385758 is divided by 66615.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 12 + 26 + 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 + (-117040)\/1008)*126\/4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + (-815845)\/(-150). Let w = l - 5427. What is the common denominator of w and 67\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26025 - 15729. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 + 12*w**2 + 354 - 18*w**2 + 6*w**2 - 5*w**2 to r*w**2 + g*w + s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6 + 7\/2. Suppose -c = r*q + 3*c + 10, -4*c - 12 = 2*q. Solve 3*d - q*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -953*k**8\/168 - 193*k**5\/30 + 119*k**2 - 3. What is the third derivative of z(a) wrt a?\nAnswer: -114360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1)\/((-3)\/(-12)). What is the smallest common multiple of 7 and 2 + 1 + (-3 - i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d**2 + 147*d**2 + 7 - 7 - 210*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s + 57. What is the tens digit of b(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-9) + -2 + (-156)\/(-36). Solve a*j - 52 = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**3. Let p be 0\/(-3) - -4 - 3. What is the remainder when h(p) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -144\/58657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-4)*((-5)\/(-1) + -2). Suppose -v - 5*g = -2*g + 1, 5*g + l = v. Suppose v*n = 43 - 18. Solve 0 = 2*o - 3*m + n + 3, -4*m + 10 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (13 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000093541 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253 - 19*r**2 + 130 + 6*r**3 + 123 - 30*r**3 to the form g*r**2 + s + q*r + n*r**3 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 211*d - 3116. Let b be x(16). Sort -1, 303, b in descending order.\nAnswer: 303, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.36 + -10.96. Let h = 57 + -287\/5. Which is the fourth biggest value? (a) h (b) 3 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) - 18\/(-5). Is 40\/16 + 2\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 5\/1393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/29480 and 39\/91640?\nAnswer: 67538680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -10, 42, 2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -175. Let f = y + -85. Solve -4*n = i - f - 5, 0 = 2*n + i - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 94)*1\/(-2). Differentiate 6 + f - 99 - 20*w wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 10:03 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - -0.9. Let b = 17.917 - 18.217. Put b, 20, k in increasing order.\nAnswer: b, k, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950923 + -1?\nAnswer: 4950922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -32. Let h = m + 17. Let d = -63.00013 + h. What is d rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 91.91953?\nAnswer: 275.75859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from gkzykzuukuzuzuuugz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 4, l: 1}. What is prob of sequence lqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347.56 nanometers in millimeters?\nAnswer: 0.00234756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 6*d**2 + 4*d + 7. Let f(p) = 8*p + 1. Let i be f(1). Let a be (6\/i)\/(2\/15). What is w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 8*m**2 - 5*m - 4*m + 3 + 8*m. Let a be d(1). List the prime factors of 0 + a - 5 - (1 - 111).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - -3.5. Let f(p) = -3*p**3 - 3*p**2 + 3*p + 12. Let k be f(-4). Suppose 5*r = -164 + k. What is the closest to 1 in 0, r, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x + 320. Is t(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*p + 2)*(9*p - 4*p + 20*p) + (-3*p - 2*p + 2*p)*(40*p - 164*p - 15*p - 56*p) to m*p**2 + z + w*p and give m.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 282, 606, 1050?\n\"Answer: 60*p**2 + 24*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100111101100000 (base 2) to base 10.\nAnswer: 348000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/3)\/((-2)\/6). Let d be (90\/8)\/(15\/40). Let h = d - x. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*sqrt(150)\/sqrt(5))\/sqrt(10) - (3 + sqrt(3) + 0 + -3)) + -2)*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - -122020212?\nAnswer: 122022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 880*m + 4699*m - m**2 - 1103*m to r + q*m + a*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657236 + 294236. What is g rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-13 - -5 - (4 - (66 - 0))) - -9.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*j**4 + 212*j wrt j.\nAnswer: 3720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 2*f + 42. Calculate b(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 - (-225)\/36. Suppose 4*g = 0, -r = -x - 4*g - 3. Let s = -4 - -7. Solve 0 = -3*u + x*z - 3, -3*u - u = 3*z - s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 22 - 32 + 0*m)*(-4 + 1 + 2) as t + g*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*v + 16049420, -2*u + 3*v + 8024726 = 6*v. Let y = u - 2829272. Suppose 2816915 = 5*w - y. What is w rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02217 and 0.2.\nAnswer: -0.004434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3766023*u**3*x**2 + 11358*u**3 + 2*u**2*x + 46 wrt x?\nAnswer: 7532046*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 45*l + 1493. Calculate u(-24).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44 + 6)\/1 + 0 + 0. Let d = p - -55. Sort -4, d, -3 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4798961685 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 59, 70, 81?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34697717*a**3 - 3811*a**2 + 124*a + 2 wrt a?\nAnswer: 208186302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = 17*n - 76*n - 25*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-282)\/(-470))\/((-2)\/(-10)). Solve n*g = 3*l, -3*l = -7*l + 2*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1\/2, 0.1818, 3.5, -1, 1\/3?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ennn when four letters picked without replacement from ehhtnenhneee?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 725580 and 81?\nAnswer: 6530220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = -5*s + 248 - 50 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2. Let y(i) = 4821*i - 16. Let g(p) = 5*p - 8. Let n(x) = 2*g(x) - y(x). Determine n(t(d)).\nAnswer: -14433*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 + 1578*r**2\/5 + 81764*r\/5 + 60336 = 0. What is r?\nAnswer: -45, -4, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 + 374*p\/9 + 4840\/3 = 0. Calculate p.\nAnswer: -132, -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 108 = 7*s + 232, 0 = -2*k + 3*s + 148 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.189 (b) 4\/15 (c) 3\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.38*-1\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**2 + 5*w**4 + w**4 - 7*w**4 + 3 + 5*w**6 - 9 wrt w?\nAnswer: 600*w**3 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 5*b**2 + 6. Let x be p(5). Let m(j) = 4*j - 2. Let s(w) = -10*w + 10. Let q(f) = 2*m(f) + s(f). Give q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112159 and 397309.\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -3.08. Let n = 4509 - 4509.2. What is the fourth biggest value in -2, 0, n, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = i - 0. Suppose -i*r + 4 = -3*r. What is the units digit of -2*r\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9043*u**2 - 9043*u**2 + 28*u**3.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnupunupun. Give prob of sequence nnpp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 10. Let u be k(18). Let q = 7 + -1. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 921896 and 17968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*l + 6 - 6 as o + r*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -492 + 467 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*l + 4*y, -2*l + 11*y = 16*y - 8. Solve 0 = -190*x + 189*x + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 357*x**2\/2 + 3705*x - 6700.\nAnswer: (x - 335)*(x - 20)*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = -3 + 32 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 134 = 129 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l = 4*l + 3*l + 1989 + 783 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 704*v**3 + 33600*v**2 - 225792*v.\nAnswer: 4*v*(v - 84)**2*(v - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-48)\/30\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6757266 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 39 = 3*o, 5*s - 35 = o. What is the smallest common multiple of -1 + 4 + (1 - 1) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -431.5 - -431. Let f = -4 - -1. Let k = 811\/77 - 75\/7. What is the second smallest value in w, f, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7897\/(-894) - (-2)\/(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 446712 - 446624. Suppose -4*d - 4*c - 212 = 48, 2*c + 196 = -3*d. Let v = 112 + d. What is the remainder when a is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20138.3164*0.5\nAnswer: 10069.1582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -135341304809.\nAnswer: -135341304812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.741 - 3899.\nAnswer: -3896.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/163761 and -37\/4959.\nAnswer: 14247207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2123*k - 50605 - 11196 = -1423*k + 51671 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*m - 3*w, 6*w - 7 = 3*m + 11*w. Suppose -10228 + 3368 = 4*p + 5*f, 3*f + 6868 = -4*p. Is p\/(-12) - 2\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -403640 - 4?\nAnswer: -403644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1635? (a) 48 (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.66 - 0.37. Let y = 0.79 - h. Which is the closest to -1? (a) y (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 6. Suppose 55 = -5*w + 5*g, -x = 2*w - 5*g + 12. Let p = -6 - w. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 23 - 23.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 + (-47940)\/(-714))*(-2 + 0) + 1284\/(-14)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*r - 2*i, 4*r - 2*i - 16 = 26. Let x(q) = -q**2 + 22*q - 66. Let c be x(r). What is the highest common divisor of c and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/72*(-576)\/10\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79643?\nAnswer: 73, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 5888*r**2\/3 + 2247616*r + 725978112.\nAnswer: (r + 696)**2*(r + 4496)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2157 - -2195. Let x(l) = 4*l**3 + l**2 - 5*l + 4. Let y be x(6). Calculate the greatest common factor of f and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2549*r - 71*r**2 - 2999 + 2549*r + 2999.\nAnswer: -71*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 5*d - 3, -12 = -4*v. Find the second derivative of -22*z**3 - 20*z + 37*z**3 - 4*z**d + 4*z**2 wrt z.\nAnswer: 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6897446.8 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is -2396304 less than or equal to -2396304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6526 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 5) to base 3.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) -4 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10592391, -10592387, -10592381, -10592373?\n\"Answer: q**2 + q - 10592393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 + 20556*a**5 - 40*a**3 - 5*a**2 - 2972*a + 47 wrt a?\nAnswer: -120*a**3 + 1233360*a**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 42 = -49*l. Calculate the greatest common factor of 91 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -114 and 0.043434?\nAnswer: 114.043434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -79450 (base 11) to base 4\nAnswer: -130010331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-182)\/21 - (-1)\/(-3). Let c = q - -15. Suppose 128 = 4*o + 4*d, -2*d + 137 + 35 = 5*o. What is the highest common factor of o and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 54385.21 years?\nAnswer: 54.38521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 9, 3*b + 41*n = 45*n - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 72*z**2 + 172*z - 240 = 0. Calculate z.\nAnswer: -3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 15*o - 301 - 122 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 17*t + 2. Let d(v) = 5*v**3 - v**2 + 17*v + 2. Determine 3*d(p) - 4*j(p).\nAnswer: -p**3 - 3*p**2 - 17*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let v be d(-28). Suppose -v*w + 5733 = -6*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332176 is divided by 7105.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.344 + -6.044. Round w to 1 dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 68. Let d = -1216315\/8 + 152039. Which is the third smallest value? (a) l (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9904 = -i - 4119. Let v = i - -252313\/18. What is the common denominator of v and -77\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 41. Suppose 2 = -2*z - 2*r, 5*z - 8*r = -3*r + u. Solve -3*o = -2*o - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3199 + 5780. Does 73 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8274064*m - 8223428.\nAnswer: 8274064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*r + 1. Suppose 4*b = -r*i + 102, -3*b = -2*i - 5*b + 106. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**20\/s**(-1\/3) assuming s is positive.\nAnswer: s**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.075, -14 in descending order.\nAnswer: 0.075, -0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -22)*6\/45*33\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 2*y, 2*y + 7 = 5*b - 2*y. Let o be -1*b\/((-1)\/(-20)). Suppose -5*v - o = -v. Let r(u) = u**3 + 6*u**2 + 6*u. Give r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 7. Let w be n(-2). Let j be 4 + 1 + w - (5 - 1). Find the second derivative of 17*s**2 + 36*s - 15*s**2 + 19*s**j + 8*s**2 wrt s.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 70.36041 millilitres?\nAnswer: 0.07036041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16830522 plus -1.05?\nAnswer: 16830520.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1621175 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26198472 and 6072.\nAnswer: 288183192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**5\/10 + 71*j**4\/2 - 5041*j**3 + 357911*j**2 - 25411681*j\/2 + 5900. Factor h(t).\nAnswer: -(t - 71)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 405*j + 6965. Let m be s(-17). Calculate the highest common divisor of 360 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.433 + 0.033. Let j = 5.8 + h. Which is the third biggest value? (a) 1\/2 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.526 - -0.096. Let l = 3.63 + h. Let c = 3.1 - l. What is the second smallest value in c, -0.4, 0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1284.568km?\nAnswer: 128456800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j - 101. Give x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*2.025\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 3*n + 4*n)*(-2017*n - 6077*n - 3309*n).\nAnswer: -22806*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 3*q + 7*q**3 - q - q**3 as h*q**2 + m*q**3 + r + x*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 49*c**2 - 41*c + 66. Calculate the least common multiple of j(2) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2)\/(380\/475). Let n(u) = 2*u**2 + 5*u - 9. Calculate n(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-299 + 157 + 173)*(0*x + 4*x - 2*x) + (2 - 1 - 5)*(-x + x - 2*x) to i + k*x and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-1449)*7*-21)\/(5\/1)?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 219*b + 153*b - 4.\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10569*y**2. Let l(j) = -18057*j. Determine x(l(u)).\nAnswer: 3446077926681*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.399 less than 0.6302?\nAnswer: 316.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010264 rounded to 4 dps?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 472 + -453. Let g(z) = z + 3. Let y be g(-3). Let h(t) = -t + 73. What is the remainder when h(y) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.18921 millilitres to litres.\nAnswer: 0.06118921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2359 times -0.1?\nAnswer: 0.02359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6127515 and 33.\nAnswer: 67402665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*a - 13 = 441*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5700722*t + 11*t**2 + 10*t**2 - 5700722*t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:38 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 - 405*w + 405*w.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 344123 at most 344133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20468 and 58480?\nAnswer: 409360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3\/2*m**3 - 35\/2*m**2 - 17\/12*m**4 + 0 - 1\/20*m**5 - 13*m. What is the tens digit of q(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*f**3 + 1359*f**3 - 1548*f**3.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 14 - 5*s + 7*s)*(-1 + 1 - 3*s).\nAnswer: -6*s**2 + 150*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88478933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let u(s) = -6*s - 1. Let l be (-3)\/6 - (-1)\/(-2). Calculate l*u(w) - 4*c(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11026 - -11025.999917424. Round j to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-7) - 13\/(546\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) 0 (c) -0.5 (d) 4 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c0d + -3?\nAnswer: 1c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 610500.\nAnswer: 610500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*((-2*sqrt(441))\/sqrt(9))\/(sqrt(7) - -6*sqrt(21)\/sqrt(3)).\nAnswer: -3 + 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 8*x**3 - 16*x**2 + 8*x + 12 = 0. What is x?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, v: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1310\/171 - -224689\/30096. Calculate the common denominator of c and 59\/10.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/((-12)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**3 + 6*m**2 - 6. Find the second derivative of u(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - t = 8, 2*c + 4*t - 12 = 0. Let v = 9 - 14. Let i = -0.2 + 0. What is the second smallest value in v, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130999.3 times 78?\nAnswer: -10217945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 47. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17063 = 6*s - 75749. Suppose s + 3019 = -8*f. Let m = -633 - f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -2\/13 (c) -17.5 (d) 0.1 (e) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 5) in base 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 94, -0.4, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:39 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 29\/68764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/7 + 1 + (-108)\/(-28). Let c be -1 - ((-11)\/(-55) + (-21)\/n). Suppose -4 = -p - 5*m - 3, c*p = -5*m + 3. Which is smaller: p or 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-80)\/168*45\/(-90)*-63?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/580)\/((-9)\/6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 48.\nAnswer: -37\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 19*i = 3*p + 16, 0 = 3*i - 6*p - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*p**2 + 18*p**2 + 12*p**2 + 4*p**4 - 12*p**3 - 3*p**4 + 115 to the form c*p**4 + g + t*p + m*p**3 + r*p**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12852972 is divided by 8563.\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 - 41*m**2 - 474*m + 47*m**2 + 474*m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 + 2759.5374?\nAnswer: 2757.1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8600 by -2.\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-7 + -10 + (-3 - -22) + -6 - -81)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27501, 55000, 82499, 109998, 137497, 164996?\nAnswer: 192495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -52. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m - 12 + 6*m + 12.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -202020102 (base 3) to base 10\nAnswer: -14753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z - 18 + 135 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -20. Let a = -14 + 7. Let w = o + a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479021680 divided by -80?\nAnswer: -5987771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5798*w**2 - 1365 wrt w.\nAnswer: 11596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -93, 29332, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -78. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -23 + 23 + -20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*k + 44, -55 = -6*d + 2*d + k. Suppose -3*c + x + d = -3*x, 4*c - 2 = 2*x. Is (-15)\/((c + 4)\/(-2)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let y be 152\/(-4) - z*2. Let f = y + 75. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-153 - 2)*(9 + -7). Let w = l - -565. Is 51 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = 3*u - 2*u, -3*j - 2 = 2*u. Which is the biggest value? (a) j (b) -1.3 (c) 5.9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*k - 58*k + 8*k + 135*k to the form m + z*k and give z.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -5. Let p(w) = -w**3 + 8*w**2 + 12*w + 4. Let s = -31 - -40. Calculate the remainder when l is divided by p(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/9)*q*q**(1\/8)*(q**29\/q)\/q**14 assuming q is positive.\nAnswer: q**(1177\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -617*k + 103117. Determine a(167).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 2*r, -3*o + 3*r = -2*o - 4. Let a = 0 - o. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 380*d**2.\nAnswer: -d**2*(d - 380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -321*c**2 + 656*c - 5. Let d(i) = -481*i**2 + 983*i - 7. Let r(z) = -5*d(z) + 7*s(z). Find the second derivative of r(j) wrt j.\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*k**2 + 188*i**4*k + i*k**2 - 64*k**2 wrt i.\nAnswer: -12*i**2*k**2 + 2256*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 49 = 4*x + 5, 0 = 5*x - 3*l - 57 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1. Let g(y) = 11*y + 121. Calculate 242*b(h) - 2*g(h).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16882099 is divided by 81556.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3997 and 0.7.\nAnswer: 2797.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 3*i - 12, 3*i = -2*v + 4. Let u be 1*(-4)\/7*7\/v. Solve -u*z = -6*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 167 + 99. Let c = -27 + w. Calculate the highest common divisor of c and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1011443 + 0?\nAnswer: -1011443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -576752, -4, 195 in ascending order.\nAnswer: -576752, -4, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 12) in base 11?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1385 + -872. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -438?\nAnswer: 43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 125*y**3 - 1095*y**2 + 3915*y - 4860 = 0. What is y?\nAnswer: 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 12*i**2 + 157*i + 2592. Give u(-17).\nAnswer: -1522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23, -2 in descending order.\nAnswer: 1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/5 - 1727544*l**2\/5 + 5182611*l\/5 - 691014 = 0?\nAnswer: 1, 2, 575845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2\/3*n**3 + 0 - 31*n + 1\/5*n**5 + 0*n**2 - 2\/3*n**4. Let h(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84877 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (17 - 3) + (-2 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*i**2*n**2*o**2 - 3273*i**2*n*o*y - 11*i*n*o**2*y + 2*i*o*y + 344*n**2*o*y - 41*n*o*y wrt i.\nAnswer: -86*n**2*o**2 - 6546*n*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-312 + 297)*(-8)\/27 and 2*(-1 + 2\/(-60)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.087 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 2*n + 4. Let i be a(0). Let t(b) = -b**2 + 6*b - 6. Let x be t(i). Let m(v) = v**2 - v. Determine m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 - 186*l + 48. Let p be r(58). Round p to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990290033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -731*y - 35084. Let l(n) = n**3 - n**2 - 5*n + 2. Calculate the remainder when l(3) is divided by r(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 6. Let l be (-732)\/j - 6\/30. Let q be 4\/22 + l\/(-154). Is q at least as big as -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -1831*i + 1817*i. What is the highest common divisor of 25 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -121 + (48 - 95) + 46?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -23*t**4\/6 - 13*t**3\/6 + 2*t + 19. Find the second derivative of v(i) wrt i.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12)*45\/(-12). Which is the smallest value? (a) 2\/7 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 2 + (2 - 4))*10. Solve 9*p = p - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4) - (-487893)\/42?\nAnswer: 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*x*y**2 - 13265*j*x - j*y + 20*j - 4*x*y**2 + 3*x*y + 574*x - 15*y - 1 wrt j.\nAnswer: 2*x*y**2 - 13265*x - y + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 2768406.63813.\nAnswer: -2768406.53813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 9 = -32*a. Let g(t) = 2*t**2 + 3*t - 2. Let o(k) = -2*k**2 - 4*k + 3. Suppose 0 = -5*y + 3*c + 21 - 4, -4*y = 4*c - 20. Give a*o(x) + y*g(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -1. Solve -5 = -5*d - 5*t, -3*d - 4*t + 31 = -z*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, -2 in decreasing order.\nAnswer: 5, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 72?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/((-117)\/59 + 2). Let q = -61 - v. Let t(z) = 2 - z + z - z. Let c(o) = o - 3. What is q*c(y) - 3*t(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(13)*-2*-5 + -4.\nAnswer: -4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndkknkdkkdkkd. What is prob of picking 1 d and 1 n?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/802 and -57\/92.\nAnswer: 36892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/5 (b) 7 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94931209 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105894 = 2*g + 2*f, 27*f - 1105870 = -2*g + 29*f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -173. What is the smallest value in -3\/7, -3, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*r + 12, -d + 2*r = 2 + 2. Let h = -15\/14 + 18\/7. Put h, d, 5 in descending order.\nAnswer: 5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74838 is divided by 14956.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 289266*j**3 - 89750*j**3 + 14*j.\nAnswer: 199516*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -133911093 to the nearest 100000.\nAnswer: -133900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + 5 + sqrt(1700))**2 + sqrt(17) + (1 + sqrt(1088) - sqrt(17)).\nAnswer: 308*sqrt(17) + 15326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -17*b + 5. Let r(t) = 19*t - 6. What is -6*n(x) - 5*r(x)?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -1727.\nAnswer: -1727.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/(12\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -c1?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*j + 0*j = -26, 5*z = 3*j + 24 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 u, and 1 k when four letters picked without replacement from fijijmjukuu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 6*x**2 + x + 4. Let z = -19 - -21. Suppose -z*u + 33 = -5*u. Let w(j) = 6*j**3 + 31*j**2 + 5*j + 20. Let o(y) = u*s(y) + 2*w(y). What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 107*m - 423. What is t(-4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 21*q**2 + 230*q - 20. What is the remainder when l(-29) is divided by 1\/2 + 19\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194748\/13 + -4578179\/182. Let f = 10180 + d. Let q = 7091\/3 + -2376. Find the common denominator of q and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309051?\nAnswer: 3, 23, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.139997234 - 22.14. What is x rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3890, -5662, -8618, -12758, -18082, -24590?\nAnswer: -32282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21547 * -0.007.\nAnswer: -150.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b + 67 - 2*b**2 + b**2 + 4*b - b**3. Is x(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575*h + 59 = -14 + 11098 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -10, -0.2 in descending order.\nAnswer: 0.3, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**23*j)\/j)\/(j**18\/j)*(j**3)**(-7\/3) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -207\/5 at least -2541\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16714 divided by -6\nAnswer: -8357\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8232*r**5 - 3*r**4 + 1009277*r**2 wrt r?\nAnswer: -493920*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8849 is divided by 1749.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2668 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 + 20*v - 17. Suppose 12*j - 14*j = -8. Let m be f(j). Which is the closest to -1\/2? (a) 71 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 1b63b91?\nAnswer: 1b63b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7234.4002 - 5.5002. Let b = 7871 - h. What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/15)\/(4\/10). Let v(y) be the first derivative of -y**3\/3 + 4133. Determine v(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08016 + -0.08016. Let l = -15 + 15.4. Which is the closest to 0? (a) -11 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -1 + (-35 - -39) + -24.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d + 15. Give f(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*48\/(-64))\/(6\/(-52)). Let w(j) = -j**3 - 12*j**2 + 13*j + 1. Calculate w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/217)\/((-6)\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-6 - (27 + -35))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**(3\/11)\/(y\/(y*y**(1\/3)))**31)\/(((y**0*y)\/y)**(-28)*(y**(-2\/5))**33) assuming y is positive.\nAnswer: y**(353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 2*r - r)*(-2 + 1 + 5) + 0 - 2*r + 0)*(3*r - 2*r - 2*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*k - 2 + (-3*k - 2*k + k)*(-3 - 3 + 5) - 156*k + 188*k + 118*k to c*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4519 - -7346. List the prime factors of g.\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/6552*(-104)\/130. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -81*w + 2870. What is v(35)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a20617 (base 11) in base 5?\nAnswer: -2311334113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452582*l - 452582*l - 17626*l**3 + 17835*l**3.\nAnswer: 209*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 14*s - 10*s. Suppose -3*m + o + s = -0, 4*m - o = 17. Find the second derivative of -8*a**3 + 20*a - 10*a**3 - 6*a**3 + 5*a**m wrt a.\nAnswer: -114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -28\/27287?\nAnswer: -28\/27287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2638 - 10611\/4. Let h = 34 - 36. Find the common denominator of (3\/h)\/(21\/47) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2425643 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - w + 1. Let i(t) = t**2 - 1. Let m(n) be the second derivative of -n**3\/6 + 9*n**2\/2 - 3*n. Let p be m(8). Calculate p*i(k) + u(k).\nAnswer: k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 - 102*q - 46. Let c(j) = -3*j**2 - 68*j - 31. Let m(l) = -5*b(l) + 7*c(l). List the prime factors of m(34).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(-6)\/9)\/((-36)\/(-9720)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**3 + 9*r**2 + 4*r - 21. Is c(5) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 3:55 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7584 and 15.2?\nAnswer: -26.72768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 36*u + 496 = 0. Let s(n) be the third derivative of 0*n**5 - u*n**2 + 0*n + 0 + 0*n**4 - 17\/6*n**3 + 11\/120*n**6. Differentiate s(l) wrt l.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 + -383. Let a = m + 154.9999551. Round a to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*l + 463 - 4383. What is the greatest common factor of l and 720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 5460\/(-126)*(5 + (-28)\/5). Let t be 209\/2 - (-3)\/(-6). Calculate the greatest common factor of t and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 27.\nAnswer: 3*(b - 3)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n. Let t = 3 + n. Suppose v + 3*d = 69, -5*v + 358 - 13 = t*d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/72 and 47\/8348593.\nAnswer: 601098696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/9, 0.1, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2*s - 4*r, s + 3 = -3*r. Suppose -20*v + 49 + 51 = s. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/62512 and 107\/22?\nAnswer: 687632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -ca?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*w - 2*w + 84, 0 = 2*q + 3*w - 84. Suppose -3*a + 5 = -79. Calculate the greatest common factor of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202874219.5999841 - -202874236. Let r = 6.2 + -22.6. Let s = r + g. Round s to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 19*n**2 + n - 2. Calculate c(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10670014 is divided by 5334897.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -180 + 0\/(0 - 1). Let b = 91 + m. Let t = -57 - b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22736.082 months in years?\nAnswer: 1894.6735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10\/(-30) - (-55)\/3 and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivq when three letters picked without replacement from {v: 2, q: 2, l: 1, u: 1, i: 1, h: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 x when three letters picked without replacement from {e: 5, x: 1, y: 4, f: 10}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2169*m + 2897 - 660 + 395 + 2618 wrt m?\nAnswer: 2169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 58*k + 143. Give l(-7).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 181*i**6\/10 + 3*i**5\/10 + i**4\/3 + i**3\/6 - 13*i**2 + 284*i - 11. Find the third derivative of g(u) wrt u.\nAnswer: 13032*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4789*v**2 + 17*v - 20. What is the tens digit of f(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9903 + 98911\/10. Find the common denominator of s and ((-21)\/(-1))\/(33\/8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 + o. Let l be f(-1). Let w be 3 + 1 + (-1)\/(l\/6). Suppose 0 = 2*h - n - 377, 263 = w*h + 4*n - 109. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(520)*3 - sqrt(520))\/sqrt(10))\/(sqrt(196)*3)*-5.\nAnswer: -10*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmr when three letters picked without replacement from {t: 1, m: 3, k: 5, r: 1, y: 2, n: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 at least 589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*a**2 + 38*a**4 - 50*a**2 + 170*a**4 - 1 + 32*a**4 wrt a.\nAnswer: 5760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26864 + -15205. What are the prime factors of f?\nAnswer: 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 12*a**2 + 9*a - 12. Calculate the remainder when k(-11) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/18225 in 0, 3, 4, -1\/2, 101\/7, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 10, 4*x + 13 = -0*x - 5*k. Suppose x = -2*q + 11. Solve 0 = -0*t + t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/3 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6, u + 2*m + 9 = -0*u. Let b = 1 - u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000690879 rounded to seven decimal places?\nAnswer: 0.0000691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2701*c**2 + 384*c - 176*c - 208*c - 402 wrt c?\nAnswer: -5402*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 4*x - 13, -3*o + 15 = -3*x. Solve 0 = s - o*u - 2, 6*u = -s + u - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (9 - (-4 + 10))) + 2 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 27*x - 43250 = -32*x, -y + 10817 = 2*x. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose x*o = o + 16. Let r = 62 - o. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 33 = -3. Suppose c - 8 = 5*c, a*v - 19570 = -c. Suppose 0 = -6*g + v + 4282. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 + 110\/44 + 1\/2 and 923?\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174650582 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**4 + 1492*d**3 + 21672*d**2 + 68480*d - 91648 = 0.\nAnswer: -358, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091926221.\nAnswer: 3, 363975407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 463 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6223\/1844 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 2, b: 3}. What is prob of sequence aj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 (base 4) in base 2?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*d**3 - 845*d + 845*d)*(d + 6*d - 12*d) to the form x*d**2 + g + m*d**3 + y*d + o*d**4 and give o.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/16)\/((((x\/(x*x**(-3\/4)))\/x*x)\/x)\/x))**(-3\/35) assuming x is positive.\nAnswer: x**(-57\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-1 + sqrt(76) + -5) - (sqrt(76) - (((-1 + sqrt(76))*-2 - sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76)))) + -4*sqrt(76)*2*-4 + 2)**2*-3.\nAnswer: -192048 - 3480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x - 2. Let o be f(-8). Let g = o + 16. Suppose g*h - 460 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - p + (13*p + 11*p - 33*p - 2)*(-2 - 1 + 5).\nAnswer: -19*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 175*u + 6525. Calculate q(-56).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.48 (b) -5 (c) 0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20002 (base 3) in base 13?\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*d**4 + 578.\nAnswer: -1116*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (129 - 5)\/2 - -5. Let d = q - 61. Let x be 0 - d\/(2\/(-1)). Solve -x - 1 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 4*q**3\/3 + q**2\/2 - q. Let p be w(1). Suppose 3*d - p = -0*d. What is the remainder when 8 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2*h = -8*j, 5*h = j - 4. Put -3, 4, j, -7 in decreasing order.\nAnswer: 4, j, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.1, 708, -8602 in descending order.\nAnswer: 708, -0.1, -1\/7, -8602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32727 + 32811 + 3*b - 2*b to v + y*b and give v.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 + 53915 - (-1 + -3). Suppose h = -21*z - 30*z. Round z to the nearest ten.\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1561, -3122, -4683, -6244?\n\"Answer: -1561*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 7*x + 4. Let b(s) = -2*s**2 + 8*s + 3. What is -4*b(i) + 3*p(i)?\nAnswer: 2*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 17. Let z be d(-5). Suppose z*t - 5*w = -2*t + 3, 5*t + 5*w = -30. Sort 3, 0, t, -1.\nAnswer: t, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, v: 2, s: 1, q: 2, l: 2, b: 1}. Give prob of sequence el.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)\/sqrt(3) - -6*sqrt(2)*-2)**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b1c4 (base 15) to base 6\nAnswer: 445434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-8) + 504\/288. Let t(k) be the second derivative of -3\/2*k**2 + 11*k - k**3 + o - 1\/4*k**4. Determine v, given that t(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187107 is divided by 198.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**7\/210 - 11*w**6\/120 + 23*w**5\/30 + 7*w**4\/3 - 8*w**2 + 20*w. Determine k so that s(k) = 0.\nAnswer: -14, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-1)\/(5\/(-150)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + f - 1. Let s(t) = 13*t**3 + 4*t**2 - 8*t + 6. Calculate 6*k(c) + s(c).\nAnswer: 7*c**3 + 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(8\/(-368)). Solve f = -0*u + 3*u - 7, 4*f - k = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 + 4*t - 2. Let c be k(-5). Suppose -l + c = -0. Suppose -l*m + 53 = 2*m + 4*q, 2*q - 31 = -3*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m**2. Let b(f) = 1789*f. What is b(o(c))?\nAnswer: -41147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18680416*y + 37642244.\nAnswer: 18680416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 rounded to one dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3\/3 + 5*a**2 - 2*a - 1. Let p be o(-7). Let j = -15 - p. What is the lowest common multiple of j and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 n when four letters picked without replacement from {q: 4, n: 10}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - d - 15 = 0, -4*k + 4*d = -16 - 24. Suppose -33 + 8 = -4*l + k*s, s + 5 = 5*l. Solve -3*u + l + 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296278870*v**6 - 3437*v**2 + 89*v - 129?\nAnswer: -35553464400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 9*v + 9. What is the remainder when 217 is divided by q(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222210, -222369, -222642, -223035, -223554, -224205?\nAnswer: -224994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 14*q**2 - 33*q - 17. Let b be l(-14). Suppose 467 = 2*s - b. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -316*r**2 + 89*r**2 - 91*r**2 + (9*r + 4 - 4)*(4*r - 4*r - 2*r).\nAnswer: -336*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - 4*r - 1. Determine f(-3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 390 = 61*g - 31*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 41 + 13 = 0. Suppose -3*y + g + 16 = 0, 2*y - 5*g + b = 22. What is the second derivative of -8*t**5 + t**y + t + 10*t**5 wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1)\/((-2)\/(-4)). Suppose -4*l = 4*m - 12, -5*l + 4*m = -39 - 12. Suppose 4 = 5*y - l*y. Sort 3, g, y in descending order.\nAnswer: 3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -131*v - 745. Is 13 a factor of r(-90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-15))\/((-28)\/42)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2780256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -15, -2613\/55, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2274 in -0.4, -1.5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 6*u + 2. Let l(y) = y**2 + 7*y + 8. Let m be l(-6). Let x(d) = 9*d**3 - 10*d**3 - 1 + 2*d**3 + 3*d**m + 0*d**2 + d. What is x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1468763 divided by -29.\nAnswer: -50647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmk when three letters picked without replacement from {p: 1, k: 3, m: 2, j: 1, o: 1, r: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(561\/(-22))\/(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1471795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 2)*((-1 + 2*o + 1)*(1 + 1 - 5) - 3*o - 3 + 3).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 31. Let a be (-1276)\/(-154) + -1*6\/21. Calculate l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 3) + 32 - (112 + -29).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5 + 32*g**4 + 50*g**3 - 84*g**2 = 0.\nAnswer: -14, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626550390?\nAnswer: 2, 3, 5, 709, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12024 - 213?\nAnswer: -12242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -944*i**2 + 3905*i + 4. Let d be q(14). Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 6*w + 5. Suppose -28 - 2 = 5*m. Determine g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.1 * -42908.\nAnswer: -1248622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -9. Let m = a - -194. Suppose -23 = -5*t + m. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c - 5*c)*(4 + 2*c - 4)*(335 - 335 - 67*c)*(5 - 2 - 1).\nAnswer: 1072*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 8*c**2 - 2*c - 12. Let g be t(-8). Let j(w) = w + 5. Let v be j(0). Suppose 2*f - v*f = -48. Calculate the highest common divisor of f and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223816652.\nAnswer: 2, 3, 33994907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7385 + -7386. Let c(l) = -l. Let h(p) = -6*p + 3. Suppose -4*t + 28 + 3 = 5*y, 2*t = 3*y - 1. What is s*h(a) + t*c(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) 4 (c) -2\/3 (d) 3\/5 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 12*f = -35. Suppose 4*b = f*g - 19, 4*b - 9 = -3*g + 7*b. Let i be 1 + 1251\/7 + 2\/g. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18109897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-545)\/1199*99\/(-1890)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/((-259)\/(-37))*(-63)\/(-49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = 4, 0 = r - 5*p + 10. Suppose z - 1 + 4 = r, 0 = -2*k - 3*z - 1. Suppose 0 = 3*j + 12, k*d + 0*d = -2*j - 8. Is d <= -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9929 divided by 15918\nAnswer: 9929\/15918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 - 178. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1359001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4437715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 389, 585, 781?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1899 - 1348. Let i = 1116 - r. Suppose 0*y - 3*y + i = -4*v, -y + 181 = -5*v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1032 and 228258104.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(4\/17)\/o*o**(-15)*o\/(((o*o**(-12))\/o*o)\/o*o)*o*o\/(o*o*o**(2\/57)) assuming o is positive.\nAnswer: o**(-2713\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2433, 4864, 7295, 9726, 12157?\nAnswer: 14588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -21*s - 101. Let u(n) = -5*n - 25. What is 2*k(r) - 9*u(r)?\nAnswer: 3*r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0514 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 8*c - 10. Let o be m(4). Suppose 4*p = -o + 22. Solve -6 = -p*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(2 + 2\/6). Let b be g\/(-12) - (-2)\/8. Suppose b*q = 2 + 10. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/280*-708)\/((-14)\/(-4) - 2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -83*j + 4. Let b be n(6). Let z = -328 - b. List the prime factors of z.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4292 and 10643716.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w + 43*w - 20 = -3*v, 5*v + 75 = -5*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -573*t + 56*t**2 + 1080*t - 534*t - 21*t**2 as u*t + k + m*t**2 and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 485 - 476. Let x(g) = -5*g + 9. Let y(c) = -14*c + 27. Let a(h) = -11*x(h) + 4*y(h). Let w be a(v). Solve 2*q + w*q - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-480 - 486 + 2316)*(c - 2 + 2).\nAnswer: 1350*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/4 - 3*n. Suppose 3*h - h + 4 = -q, -2*q = -2*h - 10. Let g(t) = 0*t**2 + q*t**2 - t**2. Give g(l(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = -2*m + 198 - 166, -3*y = -2*m - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f + 8. Suppose 4*c = -29 + 5. Let o(v) = 4*v - 7. Let y(t) = -t - 25. Let g be y(-20). Give c*o(b) + g*x(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190816\/(-320))\/(-89) + 8\/10.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/6 + 6269*d**3\/6 + 47117*d**2\/3 + 81692*d\/3 = 0.\nAnswer: -13, -2, 0, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, 383, 81, -4, 5.\nAnswer: -20, -4, 0, 5, 81, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - -24. What is the lowest common multiple of 6 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 163457.53?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 4)\/(30\/(-12)*2). Let y = -5395 + 5396. Let n = 5.6 - 6. Which is the second biggest value? (a) y (b) t (c) -3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167321 is divided by 2368?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -274796283?\nAnswer: -274796283.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-230.\nAnswer: -2760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = -4*j, 0 = i + 7*j - 3*j + 1. Suppose -o - 3*l + 896 = 0, i*o - 4*l = -o + 3664. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Let v = -9 - -11. Solve -v*k = -5*s + 2*s + l, 3*k = -3*s - 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 7*l = -18664. List the prime factors of l.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 383268*g**4 - 6897436*g**3 - 8817252*g**2 + 358660640*g + 1036161984 = 0.\nAnswer: -4, 13, 95799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 21, 8, -3, -5.\nAnswer: -5, -3, 8, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5495 + 1369 = 11*y. Is 52 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -93. Let g = 52.9921 + j. What is g rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172523 = -54*z - 172469. Let p be (-2)\/(-7) + 183\/21. Sort z, p, -3.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*r + 254*r + 40. Let i be 4\/(-10) + (-64)\/(-10). Let s(c) = -3*c**2 + 4*c**2 + 2*c - 2*c**2. Let m(d) = -d**2 + 3*d. Determine i*s(f) + r*m(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 480146904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/10*70\/21. Suppose 2*t = -4*o + 18, -6 + 1 = -t. Solve -4*q = -o*w, -3*w = w + h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1168)\/1752 - (-50)\/(-132)*-2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2581*m**3 - 12685*m**2?\nAnswer: -15486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 3*w - 28 - 3*w - 20.\nAnswer: 2*w**3 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-865)\/(-1395) + (-42)\/651\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 540. Suppose -4*n - 5*p = -n - 91, -4*n - 4*p = -z. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = 2*x. Let c(y) = -3*y - 2*y + x*y. Let a(m) = -6*m**2 + 3*m. Let s(d) = 11*d**2 - 5*d. Let r(b) = 5*a(b) + 3*s(b). Determine c(r(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96028, 96032, 96036, 96040, 96044?\nAnswer: 96048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190572 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 2*k**3 - 5*k**2 - k**3 - 34 + 4*k**2 to the form m*k**3 + v + z*k + j*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4965 is divided by 4830?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 12. Suppose 4 = -b*h + 14. Suppose -2*q = h*z + 2*z - 60, -5*z - 4*q = -72. What is the remainder when 62 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1016 - 1007. What is the remainder when 313 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 > 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282514 is divided by 1378.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.05. Let i = -0.15 + o. Let c = i - -1.0999993. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/8241 and 13\/268.\nAnswer: 32964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/(1\/(-14)). Suppose 2*j + x = 5*h + 3*j, 4*h = -3*j - 1. Suppose h*r + z + 12 = 31, 1 = -z. Calculate the common denominator of -63\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.95 - 4.98. Let r = -1.37 + s. Round r to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -12, 0.5, -152?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b + 1. Let g(q) = -q - 9. Let y be g(-7). Let s(n) = -5*n. Let a(o) = y*m(o) + 5*s(o). What is the tens digit of a(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2116 and -20\/529?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 66 = f. Is 12\/f + (-431)\/(-11) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*l**2*r**3 - 12*l**2*r - 20*l*r**3 + 2*l wrt l.\nAnswer: 148*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526592 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 18\/287?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -4. Let s = -0.1 + w. Let v = 92.11 - 92. What is the smallest value in s, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.267 and 1.7.\nAnswer: 1.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2816 divide 63196949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 166437770 to the nearest one million.\nAnswer: 166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/13, 0, 39\/2, -2\/7, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086424049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63209096.\nAnswer: 2, 29, 272453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**4 + 2\/15*b + 0*b**2 + 2\/15*b**5 - 4\/15*b**3 + 0.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2962 (b) 11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1856287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = f + 74, 0*f + 4*u + 264 = -4*f. Let l = -91 - f. Is l < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12284 (base 11) to base 10\nAnswer: 17637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9343678 and 2?\nAnswer: 9343676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 7044*p**2\/7 + 6152640*p\/7 - 12503296.\nAnswer: 2*(p - 14)*(p + 1768)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**7\/840 - t**6\/72 + t**5\/120 - t**4\/4 + 7*t**3\/3 - 13. Let v(a) be the third derivative of l(a). What is v(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/9 and 44\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 57711.\nAnswer: 288555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*r - 645 + 3296 = -2156 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c + 90500000 = 0. Round c to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895608371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) 58 (c) 0.87027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - 5*s**2 + 265 - 770 + 269.\nAnswer: -5*s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9781.236mm to meters.\nAnswer: 9.781236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -170*w**2 + 2353*w + 1. What is m(13)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 13) to base 10.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 3*n - 1. Let h be l(-1). Suppose h*b + 1939 = 5*g - 52, 5*b = g - 394. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1547 - 22. Suppose c + t = 85. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3551 + -334?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, j: 9}. Give prob of picking 2 j and 2 t.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 2*x + 1. Let s be k(1). Let n = -24 + 36. Let l = -17 + n. What is the closest to s in 2\/3, 2, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 42*o - 195. Solve 0 = 8*v - o*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*w + 4, -5*t = -3*t + 4*w - 16. Let j be 3 + (-11)\/5 - t\/10. Let u = 0.2 - 0. Which is the third smallest value? (a) u (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7172 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(1\/8)*w))\/(w*w\/(w\/(w\/(w**0*w)))*w))\/(w**(-1)\/w*w*w\/((w\/(w\/w**(-1\/5))*w)\/w)))\/((w**0)**(-5)\/(w\/w**(4\/5)*w*w**(-1\/3))) assuming w is positive.\nAnswer: w**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v - 1. Let l(u) = 12*u**2 - 20*u + 10. What is -l(r) - 10*w(r)?\nAnswer: -2*r**2 + 30*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (16 - 3) + (1 - (2 - 7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 77 = 11*q, -52 = -8*q + 7*q - 3*x - 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514405.\nAnswer: 5, 102881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 1201*j**2\/3 - 359999*j\/3 + 361201\/3.\nAnswer: -(j - 1)*(j + 601)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 1:56 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7412*-1554\nAnswer: -11518248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2 + u. Let f(d) = -4*d**3 - 6*d**2 - 6*d - 2. Let p = 3 - 4. Let k(l) = p*f(l) - 3*m(l). Let a be (-12)\/20 - 21\/15. Determine k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -867.\nAnswer: 23409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = m - 5659, 14161 + 8433 = 4*m + 2*b. Suppose m = 14*j - 1255. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925 = -86*g - 102*g + 197*g - 46*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/27)\/(w**33*w)*(((w**(1\/2)*w)\/w)\/w)**3 assuming w is positive.\nAnswer: w**(-1909\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-16) + 39\/8. Suppose 5*c - c = d - 1, c + 5 = k*d. What is the nearest to -3\/4 in -3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i - 558. Let y be t(-51). Suppose -y*l + 5*r = -16, 5*r - 2 = -4*l - 4. Factor 0 - 12\/5*f**l - 4\/5*f - 8\/5*f**3.\nAnswer: -4*f*(f + 1)*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 40382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-18)\/135). Let p(w) = 2*w. Let v be p(3). Suppose -6*m - v - 12 = 0. Which is the smallest value? (a) -1 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3. Let p = -0.8 - s. Let g = p + 35.7. Is -0.1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 69. Let f be l(-32). Solve 3*i = 4*d - 5*d - f, -2*i = 4*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5098 - 5098.00002098. What is r rounded to 7 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30119 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**9\/1008 + f**8\/560 + f**7\/140 + 2*f**3\/3 - 4. Let j(m) be the third derivative of a(m). Factor j(g).\nAnswer: -3*g**3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3692925367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*z**3 - 87*z**3 - 9*z**2 + 38*z**3)*(13*z**2 + 642 - 642).\nAnswer: -13*z**5 - 117*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**3 - x. Let z = -20 - -13. What is the units digit of v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -129*p + 6198. Does 14 divide i(-96)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1412*r**2. Let d(u) = 2491*u**2. Give d(f(h)).\nAnswer: 4966416304*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/2 + 827203*a + 684264803209\/2 = 0. Calculate a.\nAnswer: -827203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8922027\/4 at most as big as 2230507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-364)\/104)\/(1\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -40, -1\/2, -1 in descending order.\nAnswer: -1\/2, -1, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 187*r**2 - 9*r - 32. Calculate the remainder when s(-2) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*u + 26 = 0, 5*h = -0*h - 3*u + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**7\/210 + g**6\/40 - g**5\/30 - g**2 + 6*g - 96. Let m(b) be the second derivative of d(b). Find j such that m(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 53*s - 20952 = 0. What are the prime factors of s?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 0.30326.\nAnswer: -3.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -47090?\nAnswer: 47085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-42))\/(6\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 + 2*g - 2. Let n = -28 - -30. Give m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.62212 + 0.12212. Let o = 23\/33 - 4\/11. Which is the fourth biggest value? (a) -8 (b) o (c) z (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -27*q + 509. Determine f(20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*f - 3*f**4 + 0*f**3 + f**4 - 7*f**3 - 20*f**3 + 31*f**3 - 2*f**2 to j*f + o + a*f**4 + n*f**2 + i*f**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825494516?\nAnswer: 2, 3, 3191, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-15)\/(-6) - 2\/(-28). Let p = -5.21 + 0.21. Put p, c, -3 in decreasing order.\nAnswer: c, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -128. Let o(n) = -57*n**2 + 0*n + 1 + n**y + 50*n**2 - 8 + 4*n. Calculate o(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - l = 377, -5*l + 19 = 24. What is the second derivative of 3*n**2 - r*n - 3*n**2 + 83*n**3 + 11*n - 129*n**3 wrt n?\nAnswer: -276*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -105. Let z = k - -49.1. Sort -2\/5, 7, -4, z.\nAnswer: -4, -2\/5, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/525 and 32\/15225?\nAnswer: 15225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 22. Let g(r) = -r**2 + 8. Let f(t) = -11*g(t) + 4*h(t). Let p(c) = 134*c**2. Give p(f(v)).\nAnswer: 134*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6272 divided by 7.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 2*h + 1, -1 = 3*w + 4*h - 0*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 3\/5 (c) 0 (d) 3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -11. Suppose 3*g + m = 6*g. Suppose -l - 3 = -g. Let w(n) = 2*n**2 + 2*n. What is w(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -26. Let u be 3 - ((s - -6) + -2). Suppose b + 0*b = u. Solve -4*v = b + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-10206107)\/(-6)) + (-2)\/12. Let v be -1 + -1 + s\/(-9). What is v rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1387 + 2939 - 2*f - 1367.\nAnswer: -2*f + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 165344460*g. Let m(k) = -2*k**2. What is i(m(c))?\nAnswer: -330688920*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 + 6. Let w = p - 0.6. Which is the biggest value? (a) 1 (b) 4\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54264?\nAnswer: 2, 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)*-62*-1. Let m = 112 - i. Suppose -c = 4*c - m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-3)\/(-162)). Suppose 0*p - 10 = -2*p. Suppose -u - 23 = -4*y + 2*u, -y + p*u + b = 0. Sort y, -5, 4 in increasing order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, q: 1, u: 4, t: 3, e: 5, w: 1}. Give prob of picking 1 g, 1 w, and 1 u.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1306*l**5 - 3*l**4 - l + 49492 wrt l.\nAnswer: -26120*l**3 - 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:44 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w - 3*w + (5 - 9 - 2)*(-w + 4*w - 4*w))*(w**3 + 0*w**3 - 2*w**3).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - 6. Let a = m + 14. Put a, 2, 22 in increasing order.\nAnswer: a, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/114 and -31\/312.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -26. Let b(d) = -d**2 - 8*d + 4. Calculate the remainder when c is divided by b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 - 7*r - 3. Let v be t(-4). Calculate the greatest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:09 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1555464925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11178264893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.9407 + -0.08?\nAnswer: 271.8607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from skajsahaadkjaakaaa?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -7*v. Let l be v\/(-9)*254 + (-2)\/9. Find the second derivative of 48*i + 3*i**3 - 3*i**3 - l*i**5 - 34*i wrt i.\nAnswer: -560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-3)\/6)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -22. Let q be (2 - 4)\/(4\/d). What is the remainder when 28 is divided by q - -1 - (-19 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 2, 24.5, -4, -2, 0.156?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p**2 - 4*p + 3. Let x be w(2). Suppose -5*o - 51 = -m, 2*m - x = -0*m + o. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*z + 88*z + 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 10*u**2 - 12*u - 1. Let v = -49 + 57. Calculate c(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 minus -0.06728?\nAnswer: -259.93272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 26 = 5*b. Let q = 1941273 + -1317273. Suppose 9*a = b*a + q. What is a rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6859270 and 140426?\nAnswer: 89170510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79872 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -1770362420.\nAnswer: -1770362416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.487 + 0.087. Sort -24, 1\/4, w in increasing order.\nAnswer: -24, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let u(g) = -149005*g + 74511*g + 74502*g + 2. Calculate 6*m(b) + u(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1*w**1)\/((w*w\/(w\/(w\/w**(3\/8))))\/w**4) assuming w is positive.\nAnswer: w**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5573 (base 13) to base 14\nAnswer: 44ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 511, 758, 1001, 1240?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-23))\/3*79. Let i = n + 48. Let o = 3.4 + -3. What is the second biggest value in 1, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-12)*(-12)\/(-1). What is the greatest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7582824 divided by -268.\nAnswer: -1895706\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.43 and 157.\nAnswer: -9644.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -10, 594\/25.\nAnswer: -15, -10, 594\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.644 + 0.144. What is the third smallest value in 0, 6, n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*o**3 + 603*o**2 wrt o?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 25, -28, -129, -284, -499, -780?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(57)\/sqrt(3) + -4) + -3 + ((2*sqrt(171))\/sqrt(9) - 4*sqrt(76)))**2.\nAnswer: -374*sqrt(19) + 2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4138 is divided by 296?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzuqaauqazuuzxuulz. Give prob of picking 1 a and 1 l.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 + 125 - (-1 + 0 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -c + 44 - 29, -4*z = -2*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74821 is divided by 170?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3*z - 5. Let v(m) = -m**2 + 4*m - 6. Let f(b) = -7*u(b) + 6*v(b). Let j(t) = -8*t - 334. Let n be j(-42). Determine f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*v + 9602 + 29778 = -472*v for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 5 + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 9. Determine h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 8\/7 (b) -3460 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glll. What is prob of picking 1 g and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.26 + 1.3. Let r = 0.91 + 0.05. Let f = a + r. What is the nearest to f in -5, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4*y + 17. Let w be l(-6). Suppose 5*z + w*k = -15, k + 9 = 4*z + 1. Solve f = -2 - z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13021 is divided by 383?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 and 63\/132742.\nAnswer: 132742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400324 (base 5) to base 16.\nAnswer: ab3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(525\/5985)*(-45)\/(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/6, -287, 408?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106853, 106851, 106849?\nAnswer: 106847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -30343?\nAnswer: 30343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q + 157. Let s be d(-17). Solve -2*u + s*u = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5496849, 5496851, 5496853, 5496855?\n\"Answer: 2*k + 5496847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11025 divided by 24569\nAnswer: -11025\/24569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10060*s - 174832 - 479068 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) 2 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5710100 and 4833.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -21\/10, -2\/3, 6\/17 in ascending order.\nAnswer: -21\/10, -2\/3, 6\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -17) + 19 + -18.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*j**2 + 2*b*j*t**2 - 2*b*t**2 + 25*b + 2*j**2*t**2 + 11118*j**2*t - 3*j*t**2 + 215*j wrt j?\nAnswer: 2*b + 4*t**2 + 22236*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1161 and 3483.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/15 - -19) + (-1)\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f + 3*f + (0 + 3 - 2)*(3*f - 15*f + 73*f) in the form v*f + d and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 990 + -722. Calculate the lowest common multiple of 16 and n.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 6, -3, 25, -5\/12, 5, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/i**7*(i\/i**1)**(3\/13) assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 5:54 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*v = -83*v - 126. Let a(d) = -d**3 + 8*d**2 + 11*d - 29. Calculate a(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 11*m + 27. What is the remainder when 228 is divided by u(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59137\/12 - 4937. Let j be 20\/(-2)*(-25)\/122. Let p = -7783\/732 + j. What is the common denominator of c and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8108404 is divided by 1864.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*i + 2*i - 42, -3*o + i + 80 = 0. Suppose 544 - 4275 = -41*g. Calculate the highest common factor of o and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897240627 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -974, 3\/7, 0, -0.3, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 232744 times -0.2\nAnswer: -46548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -81, -153, -227?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 6. Let a be (-408)\/52 - 2\/n. Let v = 18 + a. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = -2*p, 2*x - x = 3*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1956 and 792.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/27))\/(m**(-8)*m))**(2\/11)\/((m**2)**(2\/9)*((m*m**(-6)\/m*m)\/m)\/m**0) assuming m is positive.\nAnswer: m**(2078\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-3 - (4 + sqrt(13) + sqrt(13) + -1).\nAnswer: -11*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979707095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 11*c**2 + 2*c - 12. Let b be p(9). Let g = -136 - b. Suppose 2*w = 7*w - 15. Solve w*r + r = -g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - y = 2*q, 3*q = -2*y - 5. Let s = -36 - -29.8. Let u = -6.5 - s. What is the second smallest value in -0.1, q, u, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:06 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/(-5)*(6 - 1). What is the remainder when 4 is divided by w\/(-18) - 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -0.045322 in descending order.\nAnswer: 4, -0.045322, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2 + -4 - 2)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -1fd13?\nAnswer: 1fd41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52969 is divided by 125?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6 = 3*g - 0, g = -3*m + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64004069.\nAnswer: 163, 392663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = 4*m. Suppose 0*n + 21 = m*n. Suppose -8*l - 3 = -51. What is the lowest common multiple of l and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 833912.6 decades?\nAnswer: 8339126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314424117.\nAnswer: 3, 7, 821, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.051 + 1.050094. What is p rounded to five decimal places?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d**2 - 710*d + 678. Give s(-86).\nAnswer: 2570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(-3)*u)\/u*u*u*u**(-1\/2)*u)**(5\/7)\/((u*u*(((u\/(u*u**0))\/u)\/u*u)\/u*u)**(1\/4)\/(u**5\/u**(-1\/12))) assuming u is positive.\nAnswer: u**(214\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 123. Calculate the greatest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093417 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1 + 2*l**2 + 2*l - 5*l**2 + 13*l. Let g be m(5). Does 11 divide (-10*g)\/((-22)\/121)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.48 and -0.071?\nAnswer: 0.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = 4*z. Solve -z*k + 1 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.549 - 3279\nAnswer: -3278.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9619785?\nAnswer: 3, 5, 7, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - (-145 - -148). Let w = -20.83 - 0.17. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 273*y**2 + 170*y**2 - 19*y - 328*y**2.\nAnswer: -431*y**2 - 19*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -30. Suppose -4 = 2*h - 8. Let c be -1 + h\/(4\/p). Solve c*s - 4*z = -8, 0 = 5*s + 5*z - 3*z + 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 4. Let n be l(-4). Let x = -3 + -1. Is (n\/8 + -3)*x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:05 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 168325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1067 + 216?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104 + 55 + 12*j**2 - 1172*j**3 - 24 - 7*j**2 wrt j.\nAnswer: -7032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*b**2 - 40*b**2 - 39*b**2)*(0*b**3 + 4*b**3 - 3*b**3) + (-2*b + 3*b - 2*b)*(-8*b - 3*b**4 + 8*b).\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200000 (base 3) to base 10.\nAnswer: -3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {m: 6, r: 1, h: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126618, -253238, -379858, -506478?\nAnswer: -633098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 18*w**2 - w + 32. Let g be v(6). Let n = g + -671. Solve y - n = -0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 92714846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2\/9 + 1150*p\/9 - 1586 = 0. Calculate p.\nAnswer: 13, 549\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-3838)\/(-67165).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792964*280.\nAnswer: 222029920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 19\/4*q**3 - 7\/4*q**2 - 1\/4*q**5 - 9\/2*q + 7\/4*q**4 + 0 = 0.\nAnswer: -2, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -7. Suppose q = -2*g - 7, -2*g = -q + 3 - k. Let a(p) = p. Calculate a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (1 - -2)) + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6. Suppose 3*n - 14 = -2*x + 2, 4*n + x - 28 = s. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668 - 19*m + 668.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose 2*d + u - 15 = 0. Solve -2*l = 3*a + 10, -2*l - 3*l + 2*a = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 17*v**2 + 34*v + 12. Calculate q(14).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8936, 13134, 17334, 21536, 25740?\nAnswer: 29946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2 - 4 + 2*h - 2*h + 1. Let k(b) = b**2. Calculate z(k(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 452901070 to the nearest 1000000.\nAnswer: 453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397110.\nAnswer: 2, 3, 5, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 + 14*n + 53. Suppose -10 = -5*u - 50. What is the units digit of p(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0 - 1\/2*d**3 - 42*d - 7\/2*d**2. Give o(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (130 - 124) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252997696 and 874416.\nAnswer: 758993088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 72 = -62. Solve o = -h, -3*b - 3 - 2 = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30015370, -30015369, -30015368?\n\"Answer: s - 30015371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16947080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*1 + sqrt(363))*-1*-4)**2.\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*z - 9. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 551*c**4 + c**2 - 548*c**4 + 2 - 2*c**2 as j*c**4 + v*c**2 + t*c**3 + a*c + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55984 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -629789 by 5.\nAnswer: -629789\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 15*a**5\/8 - 136437*a**4\/4 - 3658797*a**3\/8 - 1856877*a**2\/2 - 600765*a\/2 = 0.\nAnswer: -11, -2, -2\/5, 0, 18205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -6.16. Let r = -6 + i. Which is the smallest value? (a) r (b) 6\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2*3\/24*-2. Suppose g = n - 20 + 16. Solve -11 = z - 3*o, -n*o + 14 - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/60 - 3*i**4\/8 + i**3\/3 + 16*i**2. Let l(d) = 4*d + 14. What is the remainder when h(6) is divided by l(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 3*w**4 + w**4)*((3 - 7 - 6)*(-4*w + 2*w - 2*w) + w - w + 2*w + 4*w + 2*w - 5*w).\nAnswer: 43*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - x - 2*x. Let d(o) = -6*o - 15*o - 1 - 8*o + 26*o + 10. Calculate d(q(z)).\nAnswer: 6*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.95 - 18.75. Let d = 29 + -21. What is the second biggest value in o, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 83\/(-3) - 2\/6. Let t = h - -54. Is (-16)\/104 + 1434\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.6 + -41. Let w = i - 171.6. Let q = 172.9999913 + w. Round q to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 116*w**2 + 231*w - 346\/3.\nAnswer: (w - 346)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35854499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6411918401 to the nearest integer?\nAnswer: 80074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 - 21344288*s\/3 + 113894657556736\/3 = 0.\nAnswer: 10672144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x**4 + 5*x**3 - 4*x. Let c(i) = 11*i**4 - 4*i**3 + 4*i. Let v(d) = 5*c(d) + 4*f(d). Find the second derivative of v(k) wrt k.\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31336806.\nAnswer: 2, 3, 5222801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = 44. Let q = 11 - a. Suppose q*g + g = 5*g. Let n(m) = -m**3 - m**2 - 9. What is n(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by 108.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10602 - ((-2)\/(-13) + (-140)\/65). Round j to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 0)*(-7)\/(-3). Let o(d) = -d**3 + 7*d**2 + d - 8. Let y be o(c). Let r be y + 0 - 10\/(-2). Solve -5*f + r*f = 3*w + 9, -4*f - 3 = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 15. Suppose -2*l = 3*i - 5 - 5, -5*l + 2*i + t = 0. Suppose 0 = l*b - 3*b + 6. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let d(l) = l + 9. List the prime factors of d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let v = -1 + 0.8. Which is the nearest to o? (a) v (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -78145*z - 5. Give o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-1)*(21907\/133 + -167)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-4)\/12 - (-6)\/2. Suppose -20 = z*v, 2*c - v - 59 = 2*v. What is the greatest common factor of 121 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/16231?\nAnswer: -2\/16231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8924079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)\/p)**(-17)\/(p**(-2\/5)\/(p\/((p\/(p\/p**7))\/p))) assuming p is positive.\nAnswer: p**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**25\/(c\/c**8*c*c*c**(-5)) assuming c is positive.\nAnswer: c**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/z)\/z**(5\/6))\/((z**(-1\/4)*z)\/z)**(-9\/7) assuming z is positive.\nAnswer: z**(-157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.4. Let y = v + -0.1. What is the nearest to 1 in -2, 3\/7, y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12890?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**3 + 8*t**3 + 6*t**4 + (-t**2 + 3*t**2 - 3*t**2)*(-4*t + 2*t**2 + 4*t + (-3*t + t + 5*t)*(-2*t + 2*t + t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/192 and -75\/1522664.\nAnswer: 36543936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 + -773ac?\nAnswer: -7737a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 1 + 2*p - 8*p. Let z be f(-4). Suppose 0 = h + 5*a - 33, 2*h - h - z*a = 13. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1929*2\nAnswer: -3858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4847 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2. Let f(t) = 501482*t. Calculate s(f(m)).\nAnswer: -3772262944860*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(156) + sqrt(156)))\/(sqrt(20)\/sqrt(80)))\/((sqrt(240)\/sqrt(32))\/((sqrt(160) + sqrt(10))*-1 - sqrt(10))).\nAnswer: -576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 + 0.21. Let h = -0.4114 + 0.7114. Which is the biggest value? (a) h (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406827032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -570519 to the nearest 100.\nAnswer: -570500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2.578742.\nAnswer: 7.578742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -34*r + 193. Let j be t(5). Suppose -j*c - 412 + 2666 = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -5 (c) -1\/5 (d) 2\/7 (e) 870\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 + -471 + -3 + 5 + 3 + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vnnnjnnnynyynvjjj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 330322?\nAnswer: -330312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -181899036*5\nAnswer: -909495180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5 (base 16) in base 7?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756 a factor of 1016853760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -67332 smaller than -67331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235\/188*4 - (0 - 2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 10 - 39*z**3 + 9 + 72*z**3 - 5*z. Let t(k) = -35*k**3 + k**2 + 6*k + 2. Let n(h) = 6*d(h) + 5*t(h). Find the third derivative of n(v) wrt v.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53070 divided by 5.\nAnswer: -10614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 14*o = 56, 5*p + 0*o = -3*o + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531571\/3, 0, -2\/37 in increasing order.\nAnswer: -531571\/3, -2\/37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(45\/(-6)))\/(5\/(-15))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1967 and -451559.\nAnswer: -449592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -49*(-21)\/(-420). Let d(i) be the second derivative of -j*i**5 + 0*i**4 + 32*i + 0 - 8\/3*i**3 + 0*i**2. Find the second derivative of d(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1035167.\nAnswer: -207033.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 216*z**2 - 3*z + 2. What is the remainder when o(1) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)\/u**(1\/11))\/((u*u*u**(-5))\/(u*u**(1\/3))) assuming u is positive.\nAnswer: u**(-91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23782*u**4 + 11963*u**4 + 12265*u**4 + (-19 + 19 + 3*u**3)*(2*u - 5*u + 4*u).\nAnswer: 449*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13108996 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8594239?\nAnswer: 883, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjoukukfmjmm. What is prob of picking 1 o, 1 k, 1 m, and 1 f?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - (-96)\/(-126). Which is the biggest value? (a) f (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + (-11 - (-4 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1908 and 133\/75720.\nAnswer: 12039480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3377\/114075 + 8\/675. Let s = 1919\/3380 + d. Let h = s - 4\/5. Is h <= -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-55 - -65 - 7*1) + -47)\/2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19173*0.4.\nAnswer: 7669.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 18*h**2 + 11*h + 78. What is the hundreds digit of l(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t + 255. Let f = 53 + t. What is the least common multiple of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let w(x) = -3367*x - 3. Calculate b(w(d)).\nAnswer: 6734*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32841917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 30 - 9*o**2 - 16*o**3 + 9*o**3 + o + 6*o**3. Let z be w(-10). Calculate the highest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 2156\/47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553\/8791 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/25174 and 71\/8052.\nAnswer: 101350524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 + 212. Suppose z = -c + 7. Solve -h - 4*h - 15 = z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673 divided by -4538?\nAnswer: -1673\/4538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24124 and 6683.\nAnswer: 989084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s, 59*s + 285 = 5*t + 64*s. What is the greatest common factor of 2077 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/56 and -53\/93416.\nAnswer: 653912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 191 = -y, -2762*y + 2763*y + 6*g = 59 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*18\/12 + 5. Suppose 13 - 29 = -l*x. What is the remainder when 37 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 + -73. What is the remainder when y is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 2. Suppose -2*h = -1 - 5. Let x be y(h). Suppose 3*m + x = 4*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035290 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -83 (b) -5\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56765, -57945, -59125, -60305, -61485?\n\"Answer: -1180*o - 55585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2, -3, 4840, -5.\nAnswer: -5, -3, -2, 0, 4, 4840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(105\/(-30))\/(6\/12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*y**5\/9 - 74*y**4\/9 + 4*y**3\/3 + 116*y**2\/9 - 22*y\/9 - 14\/3 = 0. Calculate y.\nAnswer: -1, -3\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.13 - 0.87. Let l = 46.3 + i. Let o = l - 7.3. Which is smaller: o or -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.021 + -0.299. Are 2 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 3. Let a be d(0). Solve -z + a*z = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266532940 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(1\/6)\/(r**5\/(r\/(r**(-7\/5)*r*r))) assuming r is positive.\nAnswer: r**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -4*i**2 - 2957. Let t(z) = -220*z**2. Determine t(u(d)).\nAnswer: -14080*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 793635 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fssf when four letters picked without replacement from fsssfsfo?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-4*b - 32*b - 23*b).\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 19 + -9 + (1 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(20\/3)*r)\/(r\/(r**(-8)\/r)))**(2\/69) assuming r is positive.\nAnswer: r**(-14\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 668 (b) 2.08 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 46*h - 6. Let t(i) = -9*i + 1. What is 2*m(a) + 11*t(a)?\nAnswer: -7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840 divided by -32?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 691*n**3 + 97*n**3 - 117*n**3 - 23*n**3 + 588*n**3 - n**2 - 11 + 12*n. List the prime factors of q(1).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-66)\/(-36))\/(-11) + 5\/(-15). Suppose 4*o + 11 - 3 = 0. Let z be 2*(o\/(-32) - 0). Which is the nearest to x? (a) -3 (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185044323?\nAnswer: 3, 6211, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + y = 83, a + 0*y - 21 = 2*y. Suppose v = -v + 3*d + 41, v = -2*d + a. Let p be (608\/(-48))\/((-2)\/3). What is the greatest common factor of p and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -i*s = s - 54. Let z = s - 8. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2978*z - 235247. Calculate y(-79).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -101. Which is smaller: q or 115?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 60. What is the remainder when x is divided by (-390)\/(-52)*((-24)\/(-20) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.49 + -3?\nAnswer: 16.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -744 by -4.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**4 - 10478*p**3 + 143986*p**2?\nAnswer: -72*p - 62868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -189, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -113.\nAnswer: -113, -21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6807, -13611, -20401, -27171, -33915, -40627?\nAnswer: -47301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -259?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 3*n + 3*n)*(451 - 451 - 35*n) + (n - n**2 - n)*(3 + 1 - 7) - 4*n**2 + 0*n**2 + 3*n**2 as u + r*n**2 + d*n and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17 or 327500\/9?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 - 4 = 0. Suppose f*t - 3*t - 2 = 0. Differentiate -t + 2 + 0 + 1 - w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11125494?\nAnswer: 2, 3, 618083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23 - 82 + k + k + 102. Calculate j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (925\/(-100) + 12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**2 - 5816*u - 5820 = 0.\nAnswer: -1, 1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*j - 26, 0 = 3*c - j - 10 - 0. Determine r so that -3*r**3 - 6*r**4 + 6*r**4 - r**c + 2*r**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-2059)*(69\/(-322))\/((-3)\/1)*14?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143077323 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16542*g**3 - 7632*g**3 - 7714*g**3.\nAnswer: 1196*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75453*b + 75441*b + 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 + 11 = -2*m + 2*o, 5*m - 790 = o. Let t(y) = -2*y**3 - y - 2. Let d be t(-2). Suppose 13*b + m = d*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b - 2 + 52*b**3 + 18*b - b**2 + 3 + 11*b wrt b.\nAnswer: 312*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 90664932?\nAnswer: -36265972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7087*x - 7087*x + 311*x**5 + (3*x**2 - 3*x**2 - 2*x**2)*(2*x**2 - 2*x**3 - 2*x**2).\nAnswer: 315*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q. Let j(v) = v. Let b(m) = 3*j(m) - x(m). Let i(f) be the third derivative of -f**4\/12 + f**2. Determine b(i(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-12)\/(-14))\/((-2)\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -1\/2, 2, 1\/42, 1443581?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, -0.5, 7\/40, -14 in descending order.\nAnswer: 2, 7\/40, 0, -0.5, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 - 5*w**2\/2 - 5*w + 38. Determine j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)\/(d\/(d\/(d*d**(-7\/3)\/d*d)))*(d**0)**(4\/25) assuming d is positive.\nAnswer: d**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 + -186. Which is smaller: -42\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -9 - -1 - (-7 - -14 - 5 - 36).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -4. Let m be 124\/28 + (-12)\/(-21). Suppose m*h - 221 - 43 = 3*a, 2*a - 4 = 0. Calculate the remainder when h is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38257621 + -5?\nAnswer: -38257626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (-3 - -3)) + -1. Suppose -z = p - 2*j + 1, -p + 5 = j. Suppose i = -p*i + 149. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.46*1.3\nAnswer: 25.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5\/64, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2 + 2*j - 9. Let y(u) = -5*u**2 - u + 5. Let q(z) = 4*i(z) + 7*y(z). Let h(f) = 6*f**2 + 5*f - 5. Determine -6*h(o) + 30*q(o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 - 17*x**2 + 5*x + 7. Calculate l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1.455, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 799\/15181 + (-6085)\/95.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, k: 3, i: 1, a: 1, e: 4}. Give prob of sequence ki.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121112001 + 11?\nAnswer: -3121111330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 4, e: 8}. Give prob of picking 4 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-469)\/(-4599)*-255 - -26).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z + 26. Let f(q) = -7*q + 13. Determine 7*f(o) - 3*x(o).\nAnswer: -o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136392 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.2. Let a = 0.5 - s. Let n = -286 + 289. What is the nearest to -1\/2 in -0.1, n, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.08 (b) 1.4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -5 (c) 34\/11 (d) 221 (e) -7\/2 (f) 1 (g) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 - 14*n + 24. Let m be j(2). Solve -2*c + m*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (0 + 1*sqrt(125)) - (sqrt(125) + (sqrt(125) + 2*sqrt(125) + 0 - sqrt(125))))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*m + 46*m - 407*m)*(0 - 4 + 2) - 6*m - 3*m + 0*m.\nAnswer: 761*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 greater than 22.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k - 20*k + 9*k as m + n*k and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1410987.06s?\nAnswer: 2.33298125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Let j be o(9). Suppose -j = 2*b - 4*b. Let p(f) = -3*f**2 + 8*f + b*f**2 - 3 - 3*f**2. Determine p(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 25 = 0. Suppose -2*w + 29 = c*n, -3*n - 12 = 4*w - 7*n. Find the third derivative of -3*u**4 + 0*u**4 + 3*u**2 - 3*u**w - 3*u**2 wrt u.\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 39*x**3 + 30*x**2 - 8*x**2 - 17*x**2.\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3258072 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose -x = 2*x - 3*s + 3, x = -3*s + 3. Let h = -14 + 14.4. What is the closest to -1 in h, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:42 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1*sqrt(5)*1)*-5.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/92 and 43\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + sqrt(500) + 1)*4)**2.\nAnswer: 640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 3*z + 6. Let q(g) = -3*g**2 + 7*g - 13. Give 7*m(r) + 3*q(r).\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 294 + -294 + 0 + -16 + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hehs when four letters picked without replacement from {e: 5, b: 1, z: 1, q: 5, h: 2, s: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-7)*378\/108. Determine z, given that -2\/7*z**f - 6\/7*z + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30647630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 277297 and 10.\nAnswer: 2772970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-2)*3)\/(sqrt(11)*-1*-1).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwuwwuuwwuw. What is prob of picking 2 u?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n*n**4*n*n*n)\/n*n)\/n*n)*n**(3\/13)*(n*n**6)**22 assuming n is positive.\nAnswer: n**(1914\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(70\/77)\/10)\/(-2).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/55 > -0.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-5 + -1 + 1. Let s = 0 - -2. Suppose -5*r + 8 = -s. Sort r, v, -4 in ascending order.\nAnswer: v, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 4*q - 3. Let k be (1\/(-2))\/(1\/4). Let d = 72 + -78. Let s = d - k. Give b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 52, 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from xxwxwxwwwwwxxx.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = -3*q + 1, 1 = -4*q - 5*f. Let o be (-13)\/(-9) - 3\/(q + 2). Which is the third biggest value? (a) -0.01 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 581, 512, 451, 398?\n\"Answer: 4*d**2 - 81*d + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) + (0 - -3). Let o(r) = 11*r**2 + 3*r + 4. Let w be o(g). Suppose -2*h + 5*h = w. Calculate the remainder when h is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714856?\nAnswer: 2, 11, 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.52454 centuries?\nAnswer: 2452.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 313 + -392. Let a = -80 - l. Sort -1\/4, -0.04, a, 2 in ascending order.\nAnswer: a, -1\/4, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*m - 3 = -m, -5*n + 7 = 3*m. Suppose -5*z + n*z - 5*c + 14 = 0, -4*z = -2*c - 36. Let a(g) = -g**2 - g - 4*g + z*g - 2. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(2*c - 5*c + c)*(-3 - 2*c + 3)*(c**2 + 3*c**2 - 2*c**2).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:49 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwnp when four letters picked without replacement from {p: 3, n: 2, x: 6, w: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 17*k**2 + 18*k + 10. Let a be u(18). Suppose -14*h + a*h = -564. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 + 0 - 4 - 18*g - 4 - 6 + 13 to the form c*g**2 + f + y*g and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*o - 327996 + 1664074 = 0. Which is smaller: -9410 or o?\nAnswer: -9410","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*l*u**2 + 500*u**2 with respect to l.\nAnswer: 419*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 142 - (1 - 1) - (-2)\/(-1). What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61958142 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Suppose 11 + 9 = d*k. Solve k*j - 2*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.4 at most -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqpbqtbqpqqq. Give prob of picking 2 p and 1 b.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -3*a + 76. Which is smaller: a or 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193128707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6492752 and 109\/11368?\nAnswer: 45449264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -7520102 and -45120613\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-27)\/(-180)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d + 37. Let w(k) = -2*k - 1. Let o(h) = -p(h) - 3*w(h). Let b be o(8). Let r = 463\/7 + b. What is the nearest to 1 in -2, 1\/6, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - -2)\/1 - 1. Suppose l + 5*x + 14 = -0*x, -m = -l + 3*x. Let s = -3 - 0. Put -5, l, s in descending order.\nAnswer: l, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*k**2 - 18*k**3 + 2*k**3 - 6*k**3 - 16*k**3 - 2 + 7*k**3 to the form x*k**3 + q*k**2 + n*k + z and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126166?\nAnswer: 2, 199, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 281*n**2 - 2*n + 12. Let s be a(8). Suppose -8*k = -3*k - s. Suppose -d - 4*d - 3575 = -2*l, k = 2*l + 2*d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104011 - 7*y**2 - 104011 + 9*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:42 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23159, -46313, -69467?\n\"Answer: -23154*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**8\/20160 - g**6\/720 + g**5\/12 - 3*g**2. Let p(b) be the third derivative of n(b). What is p(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 45*m - 36. Let k(j) = -5 - 3*j + 2 + j**2 + 0*j. Is k(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -25. Let z(l) = 5 - 8*l - p*l + 13*l. Let t(f) = -f**3 + 3*f**2 + f - 2. Let b be t(2). Let n(a) = a - 2. Calculate b*z(i) + 11*n(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/5 + 94*m\/5 + 92\/5 = 0. Calculate m.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(-12 - (-560)\/40). Let w = 1.7 + 0.3. What is the closest to 1\/4 in -2, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a88c - -1a?\nAnswer: -5a872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/240 + 3*b**5\/40 + 35*b**4\/24 + 21*b**2 - 11*b. Factor q(z).\nAnswer: -z*(z - 14)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**5 - 15*b**4.\nAnswer: -5*b**4*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 721340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694.4 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14350211.\nAnswer: 14350211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2546043485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*j**3 - 24*j**2 - 2*j = 0. What is j?\nAnswer: -1, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2245*w - 503 - 37 = -2227*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-9)\/(-6)) - 5. Let d be (-25)\/(-15) + (-1)\/p. Is 1*d - (-48)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2131634.244 - -11.\nAnswer: 2131645.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-8)*(-4)\/20. Let m be 4 + -2*2\/2. Suppose 6*g - m*g = -4. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((-95)\/(-25) + (-5 - -2)). Let i = c + 43. Let a = 26 - i. What is the smallest common multiple of a and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -384. Let g = p + 185. Let w = -56 - g. What is the greatest common divisor of w and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 26*l - 259. Let m be b(10). Let z(g) = 6*g**2 + 5*g - 4. Let c(d) = d**2 + d - 1. Give m*z(r) - 4*c(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250 or -245?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(6\/5))\/(c**(3\/8)\/c*c*c))\/(c**(-1\/2)*c*c*c*c\/c**(6\/5)) assuming c is positive.\nAnswer: c**(-19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/21359215 and -23\/5?\nAnswer: 21359215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w**2 - 6*w - 5. Suppose -4*c + 5*o - 19 = 0, 0 = 2*o - 0 - 6. Let u be q(c). Let r(h) = -2*h**3 - 6*h**2 + 10*h + 9. Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10))\/(17\/102).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*a**2 + 102*a**2 + 28*a**2 + a**2 + 2*a - 2*a + (0*a + 0*a + a)*(2 - 3*a - 2).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*w - 94908 = -2280*w - 1948*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4 - 12. Solve 0 = y - 2*d + 5 + 3, -y = s*d - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -36. Let n = 19 + -24.5. Let g = n + 5. What is the nearest to j in 2\/9, -1, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32202 and 62156?\nAnswer: 1000773756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*((-16)\/(-6) - 3). Suppose -24 + p = -3*y. What is the smallest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - sqrt(175)*4)\/sqrt(5))\/(4*sqrt(7)*6).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2867 divided by 5\nAnswer: 2867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 42*u**3 + 9*u**2. Let y(p) = 1 - 1 - 4*p**2 - 81*p**3 + 113*p**3 - 53*p**3. Calculate 4*w(i) + 9*y(i).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624644.4 millilitres to litres.\nAnswer: 624.6444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-6)\/(-4))\/1. Let w = 5 + 1. Suppose s - w*s = 15. Sort a, 0.3, s in ascending order.\nAnswer: s, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 + s**2 - s + 1. Let v be d(1). Suppose -2*c + 3*h = -v, c + 4*c = 4*h + 5. List the prime factors of (-1 - c\/9)*-9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 14 = -8 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21212585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55302.57 less than -0.1277?\nAnswer: -55302.6977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1502, 3003, 4504?\nAnswer: 6005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1640 + -184. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prccccpprpcru. Give prob of picking 1 u and 1 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptptptppzpt. What is prob of picking 1 t and 3 p?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (540\/(-55))\/(-54)*(-5)\/2?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((sqrt(2)*1)**2 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 + b**2 - 5*b**2)*(b + b + 0*b)*(-3*b + 6 - 6).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 20.\nAnswer: 3, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -2\/13, 0.36 in ascending order.\nAnswer: -3, -0.2, -2\/13, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23269806?\nAnswer: 2, 3, 7, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 2880*l**3 + 622080*l**2 + 59719680*l + 2149908480.\nAnswer: 5*(l + 144)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79 - (-3)\/(6\/(-4)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231010311 (base 4) in base 16?\nAnswer: 2d135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 110 = -7*m. Suppose -2*j + 3*x + 3277 = 0, -3278 = -m*j + 6*j + 4*x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + 96. What are the prime factors of l?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-245)\/30 + (-3)\/(-18). Let h = f - -8. Solve h = -6*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 11) in base 6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 + 6*d - 6. Let r be h(5). Let v = 3 - r. Suppose -v*p + 105 = -27. Solve -2*q - 24 = -4*w, 3*q - 5*w + p = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 51.02. Let p = -1.1 + -12.9. Let w = 13 + p. Which is the closest to -2\/9? (a) 0 (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6547*j**2*l**2 + 118*j**2*l*m + 61*j*l**2 + 40*j*l + 2*j*m - 73*l**2*m wrt j.\nAnswer: 13094*l**2 + 236*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 458849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = v + 15, -3*y = 2*v + 2*v - 35. Suppose 5*k - 2*f = 9 - 0, 4 = -2*k - 3*f. What are the prime factors of ((-1 - v) + k)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14*t = -40. Solve 0 = t*g - 5*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pipgcglpippgpcpcpeec. Give prob of picking 2 c.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(16\/5)*d**(-2\/27)*d)\/((d**(-5\/4)\/d)\/d**(-3)) assuming d is positive.\nAnswer: d**(1823\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/30 + s**2 - 558. Let n(h) = 45*h. Give g(n(u)).\nAnswer: -4050*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354403061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1829 and -2930.\nAnswer: -5358970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 3\/4 (b) 3\/2 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (0 + 3))*-1. List the prime factors of (s - 7) + 2 + 39.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1609*f - 1556*f - 599059. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 222*h.\nAnswer: -222*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*67444\/7782.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eovzeev. Give prob of picking 1 z and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 198 = -0*j + 25*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 56*c**2 - 455*c + 212. What is m(-46)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 35 = 1. Let i(o) = 2*o**2 - 7*o - 1. Let b be (3 + -4)\/((-3)\/15). Let f(w) = 3*w**2 - 14*w - 2. Let l(d) = b*i(d) - 3*f(d). Determine l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20 + -12)\/((-19)\/(-698)). Let b = x - 294. What is the closest to -3 in 5, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-4 - -5 - 3). Solve 10 = -j + 5*s, 9 = 3*j - n*s + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (92\/(-6))\/((-2)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/22374891 and 79\/72.\nAnswer: 178999128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 40, 59, 78, 97, 116?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10)\/(a*a**(1\/10)))**25\/((a**(2\/5)*a\/a**(1\/4))\/(a**(-5)*a*a**(1\/2))) assuming a is positive.\nAnswer: a**(-693\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007926 to 4 dps.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 310259*i**2\/4.\nAnswer: -i**2*(i + 310259)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3648 and 86412?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= -28333\/5343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hivewehaw. Give prob of picking 1 v and 1 h.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 + 2*w**2 + 4*w. Suppose 4*l + 0*l + 28 = 0. Let p(h) = -2*h**3 - h**2 - 2*h. Determine l*p(y) - 4*j(y).\nAnswer: -2*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/33600 + y**7\/6300 - 5*y**4\/8 - 7*y**2. Let j(z) be the second derivative of p(z). Factor j(m).\nAnswer: m**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(343) + 1 + 1*(sqrt(343) + -1 + sqrt(343)))**2*5 - (-1*sqrt(63)*1 + (sqrt(112)*2*6)**2).\nAnswer: -648 + 633*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 2*c + 3 = 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74961.\nAnswer: 3, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1339*y**3 + 40774 - 40774)*(2*y + y - 5*y) to f*y + n*y**3 + z + s*y**4 + a*y**2 and give s.\nAnswer: -2678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109.4 + 137. Let j = 815.946083 - 843.54608439. Let r = v + j. Round r to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5500 + 1616. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/14 + (-2)\/(-7). Let i be 7\/(-6) - 2\/z. Let f be -2 + 1 + 19\/17. Sort i, -1, f in ascending order.\nAnswer: -1, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669725097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b - 1372. Calculate the lowest common multiple of 28 and l(54).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 16*b**2 + 2 + 12*b**2 + 6*b**2 - 8*b**3 as w*b**3 + u + z*b**2 + i*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + i**3 - i**3 + i**3 - i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -q - 2*q - 2*i + 6, -45*q + 28 = -2*i + 128 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 1\/12*c**4 + 1\/2*c**2 - c - 1\/3*c**6 + 10 + 0*c**3 + 0*c**5 - 1\/6*c**7. What is the third derivative of a(h) wrt h?\nAnswer: -420*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4846639mm?\nAnswer: 0.0004846639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -12\/19?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213274*m**3*o**3 - 740*m**3*o*q - 71*m**2*o**3*q wrt q?\nAnswer: -740*m**3*o - 71*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 12*c - 7. Let n be r(-9). What is the tens digit of 2*((3 - 7) + n\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.33 from -1.52850255518.\nAnswer: -1.85850255518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/3 bigger than -14710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 68862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-18)*-74*(-13)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -442, -7461, -4.\nAnswer: -7461, -442, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1298)\/(-1)*(-1645)\/(-36190).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1076654 less than -1076653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 2*y**2 - 2 + y**3 + 3*y + 0 - 1. Let q be a(-3). Suppose -8 = 4*n - 2*b + q*b, -2*b = 4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.833418 to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 10403. Let o(x) = -3*x + 6934. Let k(n) = 10*o(n) + 7*q(n). Let b(l) = -2*l**2. Calculate b(k(v)).\nAnswer: -8*v**2 - 27848*v - 24234722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a - 7. Let v = -561 - -377. Let c = -181 - v. Sort c, a, -1\/4, 0 in increasing order.\nAnswer: a, -1\/4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 6*o + (0 - 1 + 0)*(-2*o + 3*o + o))*(-68*o**2 + o + 0*o + 11*o**2)*(2*o - 3*o + 2*o).\nAnswer: 57*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 464*w**5 + 2*w**4 - w**3 + 30915*w.\nAnswer: 9280*w**3 + 24*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 + 10*f - 15. Let v(r) = r**3 - 2. Let l be v(2). Let j = l - 2. Calculate the remainder when d(7) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242 (base 8) in base 3?\nAnswer: -1121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 6. Let o = -7 - x. Suppose 1 = -4*g - 3. What is the nearest to g in 3\/4, 1, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0687*0.3\nAnswer: -0.02061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 4, n: 2, s: 2, e: 7, y: 2}. What is prob of sequence bbnt?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 253007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20514 + 1345324?\nAnswer: 1410242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86287 - -776648\/9. Let f = -2098543\/1463 + 10039\/7. Calculate the common denominator of f and y.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2167313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 417, 915, 1637, 2595, 3801, 5267, 7005?\n\"Answer: 2*l**3 + 94*l**2 - 10*l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3365668 by -841417.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 160975560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 189 + 71*a)*(-2*a**2 - 2*a**2 + 5*a**2) - a**3 + 4*a**3 - 7*a**3 + (a - 2*a**3 - a)*(1 - 1 - 1).\nAnswer: 69*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 0\/(-4 + 5). Let r be ((-3)\/q)\/(36\/48). Suppose 59 = r*x - 13. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 q when three letters picked without replacement from qqqvlvlqllqvqqlq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Suppose 2 = -4*o - 5*u + 10, 5*o = -m*u + 10. Suppose -10 = -n + 2*k, 5*k = 2*n - 7*n - 25. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194039183307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 12*m - 121. Let u(o) = -o**2 - 21*o - 35. Let q be u(-18). What is the smallest common multiple of 102 and y(q)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 175 - 123. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 20*v**2 - 97*v + 48. Let r be i(-11). Solve -87*g + 88*g - 5*t = 0, t = -5*g + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + m**2 - m + m**2 - 9 as f*m**2 + x*m + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2036916kg to nanograms.\nAnswer: 203691600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 7, -2\/15, -18\/13 in decreasing order.\nAnswer: 7, 1, -2\/15, -0.5, -18\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.0398.\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -92003 equal to -92001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Suppose 3*c - 6 = 5*y, 4*y + 21 = -0*c - 3*c. Let j be g(y). What is the remainder when 75 is divided by (19\/j)\/((-4)\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*i = 4*i + 20, 2*i + 10 = 0. Solve -k - 3 - 2 = c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29079047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9805717*o**3 + 251063*o**2 - 56 wrt o.\nAnswer: -58834302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 3:23 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 609905 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 62*r - 583. Calculate s(-50).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -895 - 4?\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + b - 79 = 3*b, -4*y + b = 325. Let h be 18\/y + 2\/9. Let k(g) = 4*g + 5. Let m(r) = -3*r - 5. Let x(s) = 2*k(s) + 3*m(s). Give x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 67. Suppose -5 + t = -6*y. Let j(q) = 4*q**2 + q - 2. Let d(i) = 5*i**2 + 2*i - 2. Let p(h) = -5*d(h) + 6*j(h). Determine p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82111 - 0.6068?\nAnswer: -82111.6068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1980610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzsm when four letters picked without replacement from {m: 4, z: 3, t: 1, s: 3, k: 2, b: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 4. Let o be h(-5). Let i be (o - 12\/4)\/2. Let n = i + 2. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 60. Let h(m) = -5*m + 62. Let s(p) = -3*h(p) - 2*o(p). Let c be s(14). Solve -c*x - 7 + 15 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/204523 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:49 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -11?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800132541 to the nearest integer?\nAnswer: 42428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 - 4306*f**3\/7 - 1963302*f**2\/7 - 3913694*f\/7 - 1954696\/7 = 0. Calculate f.\nAnswer: -1499, -652, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 16 + (-4 - 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + o = -18. Let g(i) = i**2 - 5. Let s be g(o). Let u(r) = r - 1. Let t(n) = -7*n + 5. Give s*u(w) + t(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.88 + 2. Let q = 3.93 + p. Let j = -0.05 + q. What is the biggest value in j, 2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.1 - -42.1. Is 3 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41465.582899 - 41465. Let x = 0.582 - d. Round x to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100\/17, 2, 5, -1.\nAnswer: -1, 2, 5, 100\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 + 3*d - 221.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 2*l - 3. Suppose -5*r = -20, 4*o + 29 = 5*r + 1. Let i be y(o). Let w = -2.6 - -2.5. Sort i, w, 3 in increasing order.\nAnswer: i, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -229 + 231. Solve -9 = 3*w, l*b - 7*w = -2*w + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76)\/((sqrt(336)\/sqrt(7))\/sqrt(12)).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20 - 10083*k + 9628*k - 20 - k**2. Let l(o) = 8*o. Determine g(l(w)).\nAnswer: -64*w**2 - 3640*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 27849?\nAnswer: 278490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = -2*x - 8, 3*a = -5*x - 15. Suppose -269*m + 266*m = 39. List the prime factors of 1 - (-3 - -7) - (m + x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 39221*i**2 + 39221*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4, 8, -303 in ascending order.\nAnswer: -303, -4, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1 + (-2 - 1)*4. Does 15 divide 10 + t - -1*79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/144)\/((-3)\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 1\/3, 14, -1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8079758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3797 - 394. Is x a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u**2 + 7*u - 10. Let z be v(4). Solve 0 = 3*g - 9, z*c = 3*c + 3*g - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 707?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let x(t) be the second derivative of 0*t**2 + 4*t + 0 - 11\/3*t**3. Give z(x(b)).\nAnswer: 484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67512.\nAnswer: 2, 3, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let l = m - -4. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4645*q + 4649*q = -d - 8, 4*d - 5*q = -95 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 1316 in decreasing order.\nAnswer: 1316, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 86981175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -178, -884, -2110, -3850, -6098, -8848?\n\"Answer: o**3 - 266*o**2 + 85*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (7 + -15 - -4) + -11 + 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -700456, -700472, -700500, -700540, -700592?\n\"Answer: -6*z**2 + 2*z - 700452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2584 + -2583. Let p(f) = -10*f + 4. Let s(t) = -19*t + 9. Let c(j) = -10*p(j) + 4*s(j). Let b be c(z). Solve 3*u - b = x - 2*x, -2*u + 25 = 3*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 - 10*d**3 + 7*d**3)*(-d - 2*d**2 + d) + (-d**4 - 2*d**4 + 2*d**4)*(-3*d + 3*d - d) + 6*d**5 - d**5 - 3*d**5.\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 49 - 5153. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84381, -86148, -87917, -89688?\n\"Answer: -k**2 - 1764*k - 82616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*b - 5*o, 5*b - 3*o = 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o - 11. Suppose 0 = -2*r - 2*n + 8, 2*n = -5*r + n + 24. Suppose 6*d - d + 3*u + 31 = 0, -5*u + 55 = -r*d. Is p(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 16 = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*u - 18, -6 + 8 = -y + 5*u. Suppose -3*m - 73 = -4*j, 4*m - m + 3*j = -45. Let n = m - -41. Calculate the remainder when n is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -19.2. Let x be 1 - (-3)\/(3 + -2). What is the closest to h in 1\/4, x, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/7026 and 49\/165.\nAnswer: 386430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3912b - 2a?\nAnswer: -39155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -17*f**2 + 2*f + 14. Let j(i) = -11*i**2 + i + 9. Let z(b) = 4*b**2 + 69*b - 46. Let l be z(-18). Give l*j(k) - 5*s(k).\nAnswer: -3*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:30 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3 - (-1 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 + 4656*t - 1584. Determine n(517).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffz when three letters picked without replacement from {z: 2, f: 18}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (1\/3)\/(4\/(-48)). Let y be k*20\/18*2\/(-10). Suppose 0 = -0*n - 4*n - 8. Sort 1\/5, y, n in descending order.\nAnswer: 1\/5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -65, 13, 93, 175?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1172187\/(-27)*(-1)\/(-10). Let q = -4341 - w. Find the common denominator of -44\/35 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1030, 1171, 1660, 2671, 4378, 6955, 10576?\n\"Answer: 29*v**3 - 62*v + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*g = 120*g - 12276. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053261?\nAnswer: 3, 11, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-24)*b)\/(b\/(b*b**(-15)*b))*((b*b**18)\/b*b*b)\/(b\/b**14))**(-28) assuming b is positive.\nAnswer: b**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2088 = 2*x - 0*x, 3*x - 428 = -m. Let h = 417 - m. Let v = 3 + -3. Which is the closest to -2? (a) h (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -126629, -253505, -380357, -507173, -633941, -760649?\n\"Answer: 2*i**3 - 126890*i + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/4 - d**3 + 2*d**2 - 4*d + 4. Determine b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 382 = 25*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and -271?\nAnswer: 20054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o*o\/(o*o**(29\/4))*o*o*o**(1\/31) assuming o is positive.\nAnswer: o**(-275\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -133812968 times -8\nAnswer: 1070503744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031 + 1.031. What is the third biggest value in w, 3.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 + 0*i**4)*(i - 5*i - 9*i).\nAnswer: -13*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 * 0.23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 12*t**2 + 9*t + 140. Give p(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j + 1. Let y(w) = w. Determine d(g) - 5*y(g).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -4*m. Suppose -745 = 2*h - 7*h. Suppose m = 3*c - 94 - h. What is the remainder when c is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:54 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14820 and 109\/1254?\nAnswer: 163020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*i + 2 = b, b - 2*i - 8 = 0. Is 19 a factor of (116 + b + -4)*(-30)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175521 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 36430*y**3 + 36388*y**3 + 4*y.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1144453884*v**2 - 3 + 1144453884*v**2 - 114*v**3.\nAnswer: -114*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k + 7. What is d(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2*w**6\/3 - 23*w**5\/5 + 15*w**4\/2 + 3*w**3 - 3. Factor q(z).\nAnswer: z**2*(z - 3)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50, -105, -244, -509, -942?\n\"Answer: -7*r**3 - 6*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -44. What is the closest to -2\/11 in 4, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 3. Let b be q(-4). Let j(f) = -4*f**3 - f**2. Let y be j(b). Suppose -4\/11*n**y + 0*n + 2\/11*n**4 + 0 + 2\/11*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1\/(4\/(4 - 16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 211 - 184. Find the second derivative of 61*l - 19 - 4*l**4 - 33*l - 29*l + 1 + 3*l**k wrt l.\nAnswer: -48*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -295, -298, -305, -316, -331?\n\"Answer: -2*l**2 + 3*l - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3 + sqrt(612))*5)**2.\nAnswer: -2400*sqrt(17) + 16900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thktpkpkttk. What is prob of picking 2 p and 2 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 48\/5 of a milligram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 10. Suppose i + 2 = -k, -5*k = -3*i - 18 - t. Let v(q) be the second derivative of q**4\/12 + 5*q**3\/6 + q**2 - q. Calculate v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6503005, -6502975, -6502943, -6502909, -6502873?\nAnswer: -6502835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930904926 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26843901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4534, -5043, -5554, -6067, -6582?\nAnswer: -7099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -18. Suppose 0 = z + 3*z - 8. Find the second derivative of p**w - z*p - p + 2*p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + a - 2. Let n be j(-3). Suppose 2*i + 5*m = n, 4*m = 4*i + i - 166. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 42*n + 43.\nAnswer: -(n - 1)*(n + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*q - 50 = -d + 234*q, 4*d - 3*q = -30 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (69\/21 - 5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - s. Let r(x) = 4*x**2 + x. Determine 3*m(g) + 2*r(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**6\/120 - s**5\/10 + 2*s**3\/3 + 23*s**2. Calculate z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (850\/(-104) + (-69)\/(2208\/(-256)))\/(3 + -6)?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 270 (b) 0.3 (c) 109\/6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + t**2 - t**4 - 122*t + 121*t - t**3 + 3 to the form f*t**4 + k*t**2 + o + m*t**3 + p*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 15*w**3 + 14*w**2 - 7. Let v(u) = u**3 + u**2 - u. Let t(f) = 3*i(f) - 21*v(f). Let s(d) = d**3 + d**2 + d - 1. Give -42*s(o) + 2*t(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n + 103*n = -10*u - 55, 4*u = -5*n - 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1258, 1266, 1286, 1324, 1386, 1478, 1606, 1776?\n\"Answer: f**3 + f + 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 - 16*w - 5. Let t be z(-5). Let j(s) = s**3 - 32. Let g be j(0). Let q = t - g. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138388*v**4 - 55082.\nAnswer: 553552*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3244*a**2 + 40333 - a**3 - 40333 as s*a + p*a**3 + w + v*a**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4960330?\nAnswer: 2, 5, 19, 26107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1260 divide 113741460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {b: 1, x: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 - 326. Let t be 62\/6*120\/17. Let j = -73 + t. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3291, 2644, 1981, 1296, 583?\n\"Answer: -u**3 - 2*u**2 - 634*u + 3928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:20 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1788 - 1715) + -55 + 1\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53541868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 100. Let g be 2 - (0 + 0 + 0). Suppose z + 4 = -j + 2, s*j = -5*z + g. Do z and 5\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o**3 - 234*o**2 - 154*o + 76. Let l(z) = -12*z**3 + 466*z**2 + 308*z - 152. Let n(q) = 18*h(q) + 10*l(q). Suppose n(u) = 0. What is u?\nAnswer: -1, 1\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 + 158\/2. Suppose -8*q = -3*q - f. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -3 (b) 0.3 (c) -62 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04315436 and -0.08.\nAnswer: -0.12315436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:17 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11001011100011110?\nAnswer: 11001011100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 27. Suppose 2*z = -1 + y. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 10:56 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(308\/(-1785))*(394 + 2). Round c to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 9730564?\nAnswer: -9730565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w**0*w)\/w))))**(-5)\/((w**(1\/6)*w)\/w*(w**(-5\/3)\/w*w)\/w) assuming w is positive.\nAnswer: w**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 25*x**2 + 32*x - 92. Let l be h(26). Calculate the highest common factor of 576 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 7*g**2 + 718*g + 8. Let h(q) = 2*q**3 - 12*q**2 + 1424*q + 14. Calculate 3*h(x) - 5*j(x).\nAnswer: x**3 - x**2 + 682*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 12 = -a, 2*a = -2*v + 20 - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-471)\/198*1 + ((-3876)\/209)\/(-34)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19773100 and 5060.\nAnswer: 217504100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*t + 6498, 5*d = 3*t - 7427 - 2370. Let u = t - 1210. Is u 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 2646 and 3114?\nAnswer: 457758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 2. Let z = 0 - l. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 12. Let g be h(7). Let u be 1251\/(-278) + 14\/4. Suppose 11*a + 15 = 8*a. Sort u, a, g in descending order.\nAnswer: g, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561907 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.592323 * 1\nAnswer: 0.592323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:30 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 54 + 14. Let b be ((-6)\/(-3))\/(u\/4 - -3). Suppose 5*w - 1 = -b*l, -2*w - 15 = 3*w. Solve 2*k - l = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-530)\/(-371)*(-16)\/24*21\/(-5). Sort -49, -5, m, -2 in increasing order.\nAnswer: -49, -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 29. Suppose c = 4*b - 11 - 17. Let l(o) = 3*o + 4. What is l(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 152327 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*r**2\/7 + 198*r - 96\/7.\nAnswer: 3*(r + 16)*(29*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 4. Let w be 6 + ((-143)\/2)\/((-4)\/56). Let y = w + -989. Calculate the lowest common multiple of m(3) and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 times 2?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 124*c - 1245 = 21*z, c + 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 14. Let c be j(-6). Let f = 8 - c. Solve 0 = 3*o - f*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275267510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110711 (base 8) in base 12?\nAnswer: 19721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -4\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-81))\/((-245)\/1911).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-11 - -3 - 0). Let u = l - -7. Let p be (2 - 1) + u\/5. What is the third smallest value in p, -0.4, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1447373*p**2 - 15 + 15 + 1447381*p**2. Let c(t) = 93*t - 1. Calculate c(j(z)).\nAnswer: 744*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7597631?\nAnswer: 7597631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -809 + 0?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8878828?\nAnswer: 2, 7, 17, 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -0*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j**3)*(-15*j + 27*j - 23*j)*((4 + 0 - 3)*(5*j - 2*j - 2*j) + 2*j + 0*j - j).\nAnswer: -44*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205 + -170. Suppose 0 = -q + i - 13. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 62957032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9452 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, and 1 v when three letters picked without replacement from {v: 2, h: 1, k: 1, j: 1, x: 1, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533118 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 2*y)*(-6 + 11 + 1) + 2 + y - 2)*(-3*y**2 + y**2 + 3*y**2) in the form d*y**2 + i*y**3 + h*y + o and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 6*z**2 + 10*z + z - 16*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356873, 714717, 1072561, 1430405, 1788249, 2146093?\nAnswer: 2503937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48945)\/(-7) + ((-1944)\/84 - -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 - l. Let x(o) = 7*o**3 + 5*o**2 - 6*o - 1. Let m = 15 - 0. Let c be m\/5 - 4\/1. What is c*x(q) + 5*i(q)?\nAnswer: -2*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6233.18 years in decades?\nAnswer: 623.318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -341410, -682819, -1024230, -1365643, -1707058?\n\"Answer: -r**2 - 341406*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-4) - (-1)\/2. Suppose 0 = -2*j + 3 + b. Suppose -n - z + 47 = 0, 0*n = 2*n + j*z - 88. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 28.8. Let o = p - -8. Let t = o - 5.2. Which is the smallest value? (a) 4 (b) t (c) -1\/6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 2*p + 144*p**4 + p + 23 - 142*p**4 + 22 - 56 in the form c + y*p**3 + i*p**2 + l*p**4 + q*p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 390370?\nAnswer: -390367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 52. Let p = -34 - h. Let n be (-3)\/((-99)\/p*-1). Is n at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -393*a**2 + 1138*a + 126. Calculate d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from nuynyypiyuyy?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucqcuququq. What is prob of sequence ccq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**4 + 3*d**3 - 3*d**2 - 7*d. Let k(l) = 6*l**4 - 2*l**3 + 3*l**2 + 6*l. Let x(b) = -6*k(b) - 5*n(b). Determine p, given that x(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22*t**3 - 16*t - 8. Let m(d) = -59*d**3 + 2*d**2 - 45*d - 22. Let c(g) = -8*i(g) + 3*m(g). Suppose 4*x + 5*s = 44, x + 3*s - 10 = 8. What is c(x)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 1144 + 18 = 123*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111843, -112352, -112861, -113370, -113879?\nAnswer: -114388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwwffwwfwffwfwfffw. What is prob of picking 2 w and 1 f?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 2, s: 2, q: 1, y: 1}. Give prob of sequence byo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**4 + 2*u**4 + 3*u**4)*(-2 - 2 + 7) - 5*u + 2*u**4 + 5*u in the form m*u**4 + d*u**3 + t*u + q*u**2 + s and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.2 - -57.3. Let l = 108 - 46. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 18381.1.\nAnswer: 18381.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*p**3 + 42*p - 2*p**2 - 114*p + 74*p + 5*p**4 - 4*p**4 to the form j*p + y*p**2 + o*p**3 + a*p**4 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 36 + 19 + r**2 - 2*r**2 - r in the form h*r + w + p*r**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38717 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, -3, 3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 - 18.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.25*-0.4.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92\/8 + (-9)\/6. Let u = a + 16. What is the remainder when u is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.1, -7, 0.5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = -4*g - y, g - 4*y + 0*y = -92. Is -381\/4 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 8*h = 1950. Let w = -56 + h. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/46659967 and -29\/1031.\nAnswer: 46659967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -3 - -2) + 27 + 7 + -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 95639 (base 11) to base 10\nAnswer: 139192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmhrmffrfmmhffffmf. What is prob of sequence mhh?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 33 = 107. Suppose -2*m = 5*v + 3*m - k, 10 = -2*v + 4*m. Find the third derivative of 2*q**2 - 2*q - q**v + 2*q wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (-416 - -323).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 - -4 - 6) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 72 = -2*i, -r + 4*i - 8 = 2 - 2 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18786, 18785, 18786, 18789, 18794, 18801?\nAnswer: 18810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 12*h + 2. Let v(t) = 2*t**3 + t**2 - t. Let m be v(-2). List the prime factors of y(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 1 + -4 + 4. Let j be 2\/(-6) - (-34)\/f. Suppose 0*r = -r + j. Solve 2*w = r - 1 for w.\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, 79, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/12 + 0)*(-4464)\/3255?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -77?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36432.587 and -68.\nAnswer: 36364.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 4, u: 1, e: 1, t: 3, p: 2}. What is prob of sequence wpy?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381864 and 85344?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221478 is divided by 2996?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 4:27 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 663 - -389. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 + 4*c**3 - 7*c**3 - 3*c**3 - 42 + 2 wrt c?\nAnswer: -8*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n, -10 = g + 5*n + 11. Suppose 0*a + g = 4*a. What are the prime factors of 7\/(-2)*a*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.69 - -5.99. What is the third smallest value in -1\/34, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2290.99 + -2291. Which is the nearest to 3? (a) -2 (b) t (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-8)\/(-26))*(-822)\/3562\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q + 2*q**2 + 8*q)*(-6*q + 3*q - 3*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-10) + 26\/(-130). Solve 2\/5*g**p + 4\/5*g**2 - 2\/5*g - 4\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-972)\/(-3645) - 14112\/270?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -627*v**4 - 842*v**3 - v**2 + 103465606 wrt v.\nAnswer: -2508*v**3 - 2526*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 94268 (base 11) to base 12\nAnswer: 67629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 1741392 - 154608 = 0. What is y rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-2*u + u - u)*(-u**2 - u**2 + u**2) + 0*u**3 + 8*u**3 - u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 216525232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83828033 + 83828033 - 15*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -20. Suppose 3*k + 12 = 0, 5*w + 15 + s = -k. Is w + 482 - -2 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*-1*3*5*1)*6.\nAnswer: -90*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 12:15 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 at least -5645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/220*(-3)\/(-3) + (5 - 40\/(-22))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1812*k**2 + k**3 + 1815*k**2 - 3617*k**2 + 14 - 2*k. Give o(-9).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*z = 434*z - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62185, -123659, -185133?\n\"Answer: -61474*q - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 divided by -11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + (sqrt(2) - sqrt(32)) + sqrt(350)\/(-3*sqrt(7)))*5.\nAnswer: -70*sqrt(2)\/3 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 924 and 1518.\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648 - 42*g**2 - 39*g**2 + 3294 - 1646.\nAnswer: -81*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p + 1076. Let z be h(-97). Solve 4*k = -16*a + 17*a + 15, 4*a + z = -k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**4 + 4*a**3 - 6*a. Let p(i) = 7*i**4 - 5*i**3 + 7*i. Let x(g) = -4*p(g) - 5*y(g). What is the second derivative of x(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 5. Let p = l - 23. Suppose -3*b = 2*b - p. What is the remainder when 42 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3573 + 3577. What is the second biggest value in u, -4, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 212\/7*m - 4\/7*m**2 = 0 for m.\nAnswer: -56, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyjj. What is prob of picking 1 j and 3 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:20 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -54094\/1457 and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -18. Suppose 0 = 5*z + 5*h + 5, r*z + 4*h = -5 + 2. Let k = -8 - -6. Put k, z, 3, 5 in descending order.\nAnswer: 5, 3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 less than 47112\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/5*(-7)\/((-147)\/(-9)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*t + 530, -5*t = -49*y + 53*y - 515. Calculate the greatest common divisor of 4995 and y.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 9.1. Let u be 1\/(21\/133) - 6. Which is the third smallest value? (a) 0.3 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2130\/1917)\/(10\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)\/(-2*sqrt(11)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/342*(-6)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15*(3 + 1)\/4. Suppose 4*a = a + w. Suppose 0 = -5*o - 3*d + 117 + 72, 3*o = a*d + 93. Calculate the remainder when o is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71125899.\nAnswer: 3, 13, 47, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73339993183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -196873679365 less than -2926?\nAnswer: 196873676439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2463, -2894, -11823, -24324, -40397, -60042, -83259?\nAnswer: -110048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1011010001111 (base 2) to base 3\nAnswer: -21220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877211 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022777685 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 4)*(-17)\/4. Let r = o - 12. Let l(d) = d**3 - 4*d**2 - 4*d. What is l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -3\/2 (b) 986 (c) -13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)\/g*g*g*(g*g**14)\/g*g**2*g**2 assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q + 10. Suppose 20 = -5*j, 5*k - 3*j + 8 = -q. Suppose 50*b = 53*b + 6. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913747331?\nAnswer: 7, 17, 439, 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199 or 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3887 and 2704.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968*y**5\/7 - 38280*y**4\/7 + 250674*y**3\/7 - 554224*y**2\/7 + 55008*y - 82944\/7 = 0 for y.\nAnswer: 1\/2, 36\/11, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9715*y**3 + 7110*y**3 - 5529*y**3)*(0*y + y + 0*y).\nAnswer: 11296*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) 0 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27880182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 - 959060*t**2 - 57480061600*t + 862416726000 = 0?\nAnswer: -119890, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven halves of a microgram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1438539267 to the nearest 10000.\nAnswer: -1438540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:06 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 3 (b) 3632 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 - 5*q. Let b be i(8). Suppose 3*a + 0*s = -s - b, 4*a + 43 = -5*s. Which is greater: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 - 8875*z**3 + 80960*z**2 + 1213120*z = 0. What is z?\nAnswer: -1784, -8, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 505*t**2 - 505*t**2 - 6*t**3 + 0*t**3 + (-1 - 6 + 4)*(-20*t - 8*t**3 + 20*t).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 37 + 6 - (3 - -13).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 235027990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l. Let u(t) = t**3 - 11*t**2 + t + 14. Let w be u(11). Let j(p) = w*p - 4*p - 11*p - 12*p. Determine v(j(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13527 in 3, -3, 2\/11, 4\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1, -0.3, -5, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*12\/546*140\/(-980).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(28) - (sqrt(12) + -3)) + ((1*sqrt(192) - sqrt(192)) + -1 + sqrt(192))*-1.\nAnswer: -19*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18524, 19615, 20706, 21797?\nAnswer: 22888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*21\/(-1932) + 3\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2552 divided by 11\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 586231, 1172469, 1758711, 2344957, 2931207, 3517461, 4103719?\n\"Answer: 2*w**2 + 586232*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/4 + q**2 - q - 227. Let h be (-12)\/(-10)*80\/2. Let f be h\/27 + 2\/9. What is p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 3\/12 - ((-291)\/4 - -4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 317*y - 45. Let x be a(18). Let g be ((-4)\/(-16) + x\/12)*-10. Round g to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -344157 - -163?\nAnswer: -343774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 + 2*n - 76*n**2 + 24*n**2 - 2*n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6513376 and 2848?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2. Let g(b) = -2*b + 4*b - b. Let r(s) = -s. Let x = -15 - -16. Let h(c) = x*r(c) + 2*g(c). What is t(h(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, m: 2, c: 2, o: 1}. What is prob of sequence cm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.692648 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -27 (b) -89 (c) 0.5 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23785 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158 + -158 + (-3 - -81) + -25.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2, -0.3, 5, -99?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.278 - 2676091210351?\nAnswer: -2676091210351.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 4, l: 1, z: 2, k: 1, r: 1}. Give prob of sequence rlo.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3961 by -2.\nAnswer: 3961\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 11. Let c be (a\/(-10))\/(3\/(-10)). Suppose -4 = -2*q + 7*q + k, 4*k = -c*q - 16. Solve -2*o + 5*o - 6 = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 8*o**2 - 4*o - 2. Let c = 458 - 467. Let a be 7*(c\/(-27) + (-12)\/9). Calculate q(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 + -10 + 7)*(78\/(-18) - -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296 minus 13?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*s + 21*s + 40*s)*((0 + 1 + 0)*(s - s - 2*s) + 7*s - 6*s - 9*s).\nAnswer: -940*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31445 from 0.1.\nAnswer: -31444.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/3 + 9*y - 58\/3 = 0. What is y?\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*-10290.6\nAnswer: -41162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*z**4 + 8*z**3 - 2*z**3 - 71*z**4 - 1 - z**2 in the form r*z**3 + w*z**2 + s + a*z + m*z**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11651412 and 0.6?\nAnswer: -6990847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-12)*((-5)\/(-1) - (-693)\/(-140)). Let s = -1.92 - -2. What is the third smallest value in -0.4, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 10*j - 6*j + 22, 0 = -4*a + 4*j + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*m - 300*m + 5*c + 55 = 0, 5*m + 57 = -4*c for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 13077*i**2 - 8674170*i + 17400656.\nAnswer: -(i - 2)*(i + 703)*(i + 12376)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.3. Let x = -70.97 - -71. Sort i, 4, x in descending order.\nAnswer: 4, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427922, -427916, -427906, -427892, -427874, -427852?\nAnswer: -427826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9643 - -9645. Sort 120, 1, t in increasing order.\nAnswer: 1, t, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561*w + 825 = -1286*w. Factor 1130\/3*g**w - 1024\/3 - 1408*g - 53*g**4 - 1904\/3*g**2 + 7\/3*g**5.\nAnswer: (g - 8)**3*(g + 1)*(7*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (8 - (-36)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -2.76 in descending order.\nAnswer: 6, -2.76, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -4 - 2) + 39. Let w be (-12)\/(-10)*(-15)\/(-6). Suppose -3*i - w*t + n = i, 3*i - 39 = t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 1 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - ((sqrt(91) - (sqrt(91) - (sqrt(91) - (sqrt(91) - (sqrt(91)*-4 - sqrt(91)))))) + sqrt(91))*3)\/(sqrt(42)\/(sqrt(30)\/sqrt(5))).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/14 and 41\/356542?\nAnswer: 2495794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710524585 to the power of 1\/3, to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/98*(-42)\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -629711547 by -703.\nAnswer: 895749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51824*g**2 + 253297*g wrt g?\nAnswer: -103648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h + 60. Let g = 17 + h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 1418148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3 + -4 + 2). Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.31292 and 6.65?\nAnswer: 8.730918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.018989 - 0.69\nAnswer: 9.328989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/4 - 5*v**3 + 17*v**2\/2 + 3*v + 57. Is h(14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3737664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46638590 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*y - 6 = 0, -4*i + 1 = -y - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w\/w**2)\/(w**(-2\/5)\/(w\/(w**(-5)*w*w))) assuming w is positive.\nAnswer: w**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/7 - -81\/14. What is the nearest to 0.3 in 0.7, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*o**4 + 2*o**3 - 87.\nAnswer: -256*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1318 (b) 3\/5 (c) -36 (d) -1\/6 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -703863189*c**4*x**3 + c**2*x**2 + 4*c*x**3 + 756*c*x**2 - 28*c*x - 15*c wrt c.\nAnswer: -16892716536*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 0*c = -130. Let u(o) = 1 + 8*o - c*o + 4 - 2. Suppose -2*a - 3*x + 15 = 0, 0*x - 2*x + 6 = 0. Let f(j) = 16*j - 10. What is a*f(l) + 10*u(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 4 + (-2 - -1). Let s be (2\/(-4) - w)*0. Which is greater: -4\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -290*p**2 + 130*p**2 + 12 - 293*p**2 - 12. Let i(n) = -26*n**2. Calculate i(g(z)).\nAnswer: -5335434*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -116\/7, -173, -7, -1?\nAnswer: -116\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -37. Let x = t + -12. Solve -4*i - 4*f - 24 = 0, -4*i + x*f + 2*f = 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 10796\nAnswer: -10796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j + 595*j = -912*j - 65982 + 217982 for j.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (243\/12)\/3 - (-14)\/56. Suppose k*d + 285 = 26*d. What is the smallest common multiple of 27 and d?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + h + 0)*(-3*h**3 - 373 + 188 + 190) as r*h**2 + z*h + b*h**4 + m + i*h**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 3*r, 4*x + r + 2*r - 4 = 0. Let d(a) = -a**3 - 3*a**2 - 3*a. Let o be (-3)\/(-1)*(-6)\/9. Let f(z) = -z**2 - z. Calculate o*f(c) + x*d(c).\nAnswer: -c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 279 - 7 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -858.104 and 0.1.\nAnswer: -858.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 20201001001111?\nAnswer: 20201001001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 13, 2, -39, -5 in descending order.\nAnswer: 13, 5, 2, -5, -9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76686 or -76685?\nAnswer: -76686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (-9 + 9 + 7)) + (0 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 5)*(2*m**3 - 6*m**3 + 3*m**3).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -9, -40, -83, -138?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*s - 1. Let g be (-2)\/2*s\/(-3). Let t = -4.8 - 0.2. Which is the nearest to -1\/3? (a) -0.3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by 23322\nAnswer: -185\/7774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -3. Let g be 7\/(-9) - (m + -4). Let f = 167 + -839\/5. Which is the nearest to -1? (a) f (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*b + 3*q - 71, -4*b + 67 = -q. Let h = 14 - b. Let i = -0.146 + 0.346. What is the fourth biggest value in -0.4, i, h, -3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*5)\/sqrt(2).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*d + 2391 + 1599 + 408 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92483 and 10603?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(95)*2)\/sqrt(5) - (sqrt(152) + sqrt(152) + 5*(sqrt(152)*-2 - sqrt(152)))\/(sqrt(88)\/(1*sqrt(11))))*1.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6662?\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 3 + 9*h - 13*h)*(-1 + 4 - 2) as b + d*h and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 63*d**2 + 168*d - 2690. Give k(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 100, -771*b + 784*b - 4*j = -54 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 32 = 0, 129*j + 133*j - 263*j - 2 = -2*t for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5687*r. Let v(h) = -h. Give p(v(m)).\nAnswer: 5687*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 greater than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 2, 4, -1\/5, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 8*l + 7. Let s be y(-8). Suppose 6 = -4*a + s*a. Solve -a*w = w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 2. Suppose 8*v - 7*v = 22. Suppose -v = -5*p + 3*q, p - 4*q = q + 22. Determine w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 697*r + 706*r - 2103*r + 700*r - 17*r**2.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109\/3 - (-6)\/9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 4)*(-2*j + 2*j - j)*(4*j - 6*j + j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*b = -20, 2*l = -3*l - 5*b + 50. Let m be (4 - 0)*(1 - 0). Suppose -l + m = -t. Solve -t = 3*k - 5*r, 0 = 4*k - r - 0 + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:32 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 369799227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0 = 4*p + 17, -1306*q = -p - 1310*q + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10.3. Let c = 4105 + -4109. What is the third smallest value in -33, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2. Let v(s) = 24461*s**2. Give z(v(q)).\nAnswer: 4188383647*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, 149, -44, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(189)\/sqrt(3) + sqrt(63))*2 + -5)*-6.\nAnswer: -432*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10217)\/(-1530) - (-2)\/9 and (-6)\/16*164\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 8:27 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b33292 - 3?\nAnswer: -b33295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/12*105\/1. Let i = 110 - c. Calculate the smallest common multiple of 6 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -306, 0 in ascending order.\nAnswer: -306, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(40\/(-225)) + (-18)\/(-48). Solve -w + t*w + 15 = -5*b, 5*w + 15 = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1060399\/270 - 11782\/3. What is the common denominator of 103\/306 and q?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6. Let j = -150 + 152. Let f(l) = l + 1. Give j*f(d) + r(d).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.6210859706?\nAnswer: 1.6210859706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2172104\nAnswer: 2172106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2577627.\nAnswer: 5\/2577627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 - 4) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 2480*j - 120 + 180)*(2*j + 0 + 0)*(0*j**2 + j**2 + 5*j**2).\nAnswer: -29760*j**4 + 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34155344 (base 6) in base 5?\nAnswer: -231320104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 253 - 43?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233312 (base 4) to base 6.\nAnswer: 155022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 154 = -4. Let z = -17 - g. Suppose -2*y = -y - z. What is the remainder when 24 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*o**2*s**2 - o**2*s - 568*o**2 + 4*o*s + 2*o + 15*s**2 - 43*s + 3 wrt o.\nAnswer: -124*s**2 - 2*s - 1136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 6. Give v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -24*y**3 + 149*y**2 - 26*y - 26. Let q(w) = -11*w**3 + 74*w**2 - 12*w - 12. What is 6*h(m) - 13*q(m)?\nAnswer: -m**3 - 68*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 5 = -25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36600, 36817, 37034, 37251, 37468?\nAnswer: 37685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2159*x + 12211*x - 2273600 = -9548*x for x.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.271 times 5\nAnswer: 1.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921982 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3634 - 19894. Let s = 6260 + k. What is s rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdmzamwzu. Give prob of sequence um.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-3*d + d + d) - 164*d + 190*d - 23*d + 136 in the form r*d + h and give h.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)\/w**(-2\/11) assuming w is positive.\nAnswer: w**(-5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x, 17 = -3*h + x + 4. Let y(z) = -z**2 - 5*z - 3. Let r be y(h). Let k(d) = 5*d + 5*d**2 - 3*d**2 - 3*d**2. What is k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/7 + 4*t\/7 + 2\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + -3 + (-6)\/(-3). Let t be (-6)\/m + (-155)\/(-175). Let f be 0 - (3\/8)\/(-1). Sort -5, t, f in descending order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (1 + 23 - -34)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 4d4 (base 14) in base 6?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v. Let w(c) be the second derivative of 11*c**3\/6 + 65*c. What is q(w(b))?\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66697 - 2?\nAnswer: 66695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8876 and 3804.\nAnswer: 26628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55481 + -55481.2. Let d = 0.5 + 0. Which is the nearest to 14? (a) -12 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 7}. Give prob of picking 2 t and 1 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 6. What is the lowest common multiple of 6 and w(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 3. Let i = w - 6. Suppose 0 = l + 4*s - 20, i*l + 2*s - 6*s + 8 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 95*f + 43*f - 157*f - 2203 for f.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6142 is divided by 6136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 55*r**3 + r**2 - r. Let q(g) = -2*g**3 - g**2 + g. Calculate -q(b) - u(b).\nAnswer: -53*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*p**4 + p**3 - 72*p wrt p.\nAnswer: 264*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 27*q**5 - 3654*q**4 - 30183*q**3 + 83694*q**2 - 67044*q + 17160 = 0.\nAnswer: -10, 2\/3, 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/8 + 3*o**3 + 34*o**2. Let x be q(-5). Solve 6*l = l + 25, -5*l + 19 = x*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 23*q - 6. Let t be u(-6). Let p be 1*3\/(-6)*t. Let y = p - 7. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -666063 + -132?\nAnswer: -666205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -136. Suppose -8*g + 110 = -3*g. Calculate the remainder when h is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - -0.91. Let a = -1.4 + c. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*n - 17 = 3*n, 0 = -y - 4*n + 9. Suppose -y*m + 300 = -3*i, -5*i = -0*i - 25. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q*q*q**(1\/8)*q\/((q*q**2)\/q)*q*(q\/(q**(-9)\/q))\/q)**(-1\/71) assuming q is positive.\nAnswer: q**(31\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7047455 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 8. Let s = 4 - i. What is the smallest common multiple of (-9)\/6 + 1 + 63\/6 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -20.041782?\nAnswer: 19.041782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2 - 5*p - 11*p + 6*p + (2 + 0 + 0)*(8 - 8 + 4*p)).\nAnswer: 4*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 8*q - 81. Let y(h) = -h**2 - 3*h - 27. Let a(g) = 6*m(g) - 17*y(g). Is a(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511911 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpbb when four letters picked without replacement from bffpkfkkbffb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 + 21*j - 1. What is the remainder when 31 is divided by a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1380, -12, 1356?\n\"Answer: 1368*z - 2748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 (base 11) in base 3?\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:52 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -309 - ((-2)\/1 + 3). Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*o = -56, -2*o = -0*f + 3*f + 44. Let z = -58 + 89. Let x = f + z. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*u + 30 + 116*u - 3529*u.\nAnswer: -3837*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170715585 = 2*a + a + 3*z, 2*z = 10. Suppose -a = -4*v + 226826594. Suppose v = 5*b - 6067054. What is b rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f - 99 = 4*w + 77*f + 97 - 64, -2*w - w = -6*f - 72 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299090 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 3 + 3*c - 13*c.\nAnswer: -10*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59 + 4 + (-1)\/(-1) + 4. Let v(o) = 6*o + 172. Let n be v(-23). What is the greatest common divisor of s and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(w - w + w) + ((-25*w + 4*w + 0*w)*(0 + 2 - 3) - 2*w - w + 0*w)*(-1 - 1 + 1) to the form p + s*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-10)*-1 - -1. Let t(s) = s**2 - 4*s + 1. Let d be t(5). Let w = d + -11. What is the nearest to 0.1 in 4, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ympkmkykk. Give prob of picking 1 m and 1 y.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)*-1)\/sqrt(6)*2 + -1 + (-2*sqrt(88))\/sqrt(2) + (sqrt(396)\/(-2*sqrt(9)))**2.\nAnswer: -8*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-18) + (-1715)\/(-63). Suppose 0 = f - 71 - d. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + j + 2*j**4 + 1 + 0*j**4 + 2*j**2 + (-j - j - 3*j)*(4*j**3 - 3*j**3 - 3*j**3) in the form q*j**2 + w + l*j + s*j**4 + v*j**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 72*d**3 + 153*d**2 + 78*d = 0. What is d?\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44032, 44033, 44034, 44035, 44036?\nAnswer: 44037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.794355 - -0.24171.\nAnswer: 1.036065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 24*m**3 - 349*m + 350*m - 51*m**3.\nAnswer: -80*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.1. Suppose 3 = 5*n + 8. Let q be (-22)\/(-5) + -3 + n. What is the nearest to q in -5, -1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1733, -1735, -1747, -1775, -1825, -1903?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (1 - (-11 + 12)) - (0 + 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*x + 153*x - 19 - 276*x to the form u + c*x and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 12*t**2 + 5*t + 4 - 9*t**2. Let f(h) = 6*h**2 + 9*h + 9. Suppose k + 0 + 4 = 0. Give k*f(c) + 9*i(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (5 + 3) - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1070 divide 2004942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -513, 0, -3, -27 in decreasing order.\nAnswer: 0, -3, -27, -32, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 13. Solve 2*c - g*a - 17 = -c, -2*c - 5*a = -3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*k**3 + 9*k**3 + 7*k**3 - 13*k - k**2 in the form h + p*k**3 + c*k**2 + v*k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 0. Suppose 4*b - 8 = -j. Solve 0 = -3*a - b*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466579?\nAnswer: 31, 47309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 135 = 15*x. Suppose -41*c = -x*c + 32. What is the highest common factor of c and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxt when four letters picked without replacement from {t: 17, x: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**3\/6 - 7*j**2\/2 + j. List the prime factors of h(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 71 + 70*q)*(q**2 + 0*q**2 - 2*q**2).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1349 times 0.5\nAnswer: 674.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 4\/3*p**3 + 1\/15*p**5 - 12 - 1\/2*p**4 - 7*p**2 + 0*p. Let j(c) be the second derivative of d(c). Factor j(k).\nAnswer: 4*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d - 65*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m - 2 - 1 + m**2 - 3*m + 6. Calculate the remainder when 54 is divided by y(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266\/1254*(-54)\/(-21)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from reeeerixkrkxer?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 209078 - 1?\nAnswer: 209077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23236 is divided by 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.0021 rounded to 1 decimal place?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, -104, -24\/5 in ascending order.\nAnswer: -104, -24\/5, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/30 + 166*h**2. Let n(d) = 936*d. Determine f(n(i)).\nAnswer: 1752192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 495\/16 + -2827\/80. What is the second biggest value in -0.4, c, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 56*a\/3 - 192.\nAnswer: 2*(a - 8)*(a + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*r - 8, 5*r - 39 = -5*b - 64 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 9 - -20 - (11 - (-6 + -9))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*w**6 - 481*w**5 - w**3 - 3225*w**2 wrt w?\nAnswer: -14400*w**3 - 28860*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 2*w, 7 = 5*q + 4*w + 42. Let z(s) = -s + 1. Let y be z(q). Suppose 4 = 2*c - y. Solve 0 = g + 5*h + 3, -1 = -g + 4*h - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.014?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-60))\/(5\/(165\/(-9))).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -61. Calculate the highest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 36*o. Let i be h(-12). Solve i*t = -5*j - 2*t + 33, 7 = 3*j - 2*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*a**4*t**2 + 3*a**4*z + 5*a**3*t**2 - 12*a**2*t**2 - 2*a**2*z - 13*a*z wrt a?\nAnswer: 1320*a*t**2 + 72*a*z + 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eii when three letters picked without replacement from {i: 2, e: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - (8 + 21)) + -26 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-864)\/(-20))\/((-3)\/10). Which is smaller: s or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216689?\nAnswer: 11, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (24 - 1) - -53?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3831*a**2 + 15546*a**2 - 5303*a**2 + 2 to u + r*a**2 + w*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfafalmv. What is prob of sequence lv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 562*l**3 + l - 565*l**3)*(-3*l - 2 + 2).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 4, -64, -7 in decreasing order.\nAnswer: 4, 3, 2, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 54.50684 hours?\nAnswer: 196224624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 + 299. Suppose 3*o + 2*w = v, 35 = o - 2*w - 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9375*p + 9359*p - 22. Which is greater: p or -62\/83?\nAnswer: -62\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172762\/455 + -1921\/65. Let b be 2\/(-24)*(-29153)\/(-7). Let c = g + b. Find the common denominator of c and 21\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5571 - 39009\/7. What is the third smallest value in 4, d, 0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 5*r = -32. Suppose -2*w + r = 5*p, -p = -2*p. Let i(g) = -g + 10. Let x be i(8). Calculate the greatest common divisor of x and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 657 and 3869.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31062 divided by -5177\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -2, 210 in descending order.\nAnswer: 210, 36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248319*i + 1 - 1 + 247743*i.\nAnswer: -576*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 4*d - 2. Let t be 15*2\/(-1 + -5). Let c be m(t). Let a be (10*c\/(-6))\/(-1). Solve -5*z = -20, a*b - 3*b + 5*z = 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -5, -3, 1, 87\/4 in descending order.\nAnswer: 87\/4, 1, 0.09, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 8410848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**5 - 60*x**4 + 108*x**3 - 48*x**2 = 0. Calculate x.\nAnswer: 0, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/4 + 7*r. Let d(j) = 8*j**2. What is u(d(h))?\nAnswer: -192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m - 16. Determine r(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/45, -3, 13, 7, 0.3, -1\/2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*u - 5*j, -13*u - 10*u = -19*u + 5*j + 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -101, -391, -875, -1553, -2425, -3491, -4751?\n\"Answer: -97*n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-36)*(-6)\/(-4)*1504\/188?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448245333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 294*k - 280*k - 182 = -575*k, -2*k + 4 = p - 27 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6*c + 2*c = 4*c - 2, -24 = 14*w + 3*c + 55 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven quarters of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 28 = 4*p - 66, 18 = p - 4*c. Differentiate 85 - 16 - 8*b + 74*b - p*b wrt b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*s + 5*o, 0 = 2*o - 0*o + 8. Suppose s = q - 2*q + z + 10, 5*z = 0. Solve -3*p = -4*y - 17, 0 = -5*p - 2*y + y - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -7. Let d be (c\/20)\/((-2)\/(-30)). Suppose 6*x - x = -4*k - 5, x - d = 3*k. Sort 5, k, 1 in descending order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-21)\/4)\/(-3). Let v(f) = -f**2 + f + 6. Let j = 0 + -4. Let z(h) = 2*h**2 - 3*h - 12. Let t(a) = j*z(a) + x*v(a). Calculate t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*v + 34, 0*v - 3*a - 21 = -v. Let h(n) = 2 + v*n - 2 - 2 + 3. Give h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252878 + 42326 = -186*q. What is the smallest common multiple of 10 and q?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/((-2)\/20). Let f be (-48)\/54*6\/m. Factor 2\/3*z**3 - f*z**2 + 0 + 2\/3*z.\nAnswer: 2*z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 29*r + 33*r + 21, 0 = 4*k + 62*r + 306 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -8, -3, -4, -0.012?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 177, 460, 975, 1800?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16480469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -8*i - 3*l - 12, i = -3*l - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298706 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 4)*((-2 - 3 + 4)*(-p - p + 0*p) - 2*p + 6*p - 2*p) as q*p + o and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/24 + i**4\/8 + 5*i**3\/6 + 5067*i**2. Let u(l) = -10*l**3 - 7*l - 11. Determine -4*u(b) - 9*w(b).\nAnswer: -5*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10*h + 5*h - 10, 3*h - 34 = 5*n. Suppose 2*d - 3*p = 6971, h*d = -2*p - 3*p + 10504. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-32)\/((a\/(a**(-2)*a))\/(a\/(a\/a**(1\/3)))) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, -79, 12, 0 in increasing order.\nAnswer: -79, -33, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3*sqrt(85))\/sqrt(5) + -3 + -1)**2.\nAnswer: 24*sqrt(17) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 58820*p\/9 + 117616\/3.\nAnswer: 2*(p + 6)*(p + 29404)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 17. Determine f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a48 (base 15) in base 9?\nAnswer: -33855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 388, 583, 778?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2337678 to the nearest 1000.\nAnswer: -2338000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -563, -541, -497, -431, -343, -233?\n\"Answer: 11*q**2 - 11*q - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and (-4)\/3*3780\/(-16).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/145 and (-43)\/420 - ((-2)\/8)\/(2 - 3)?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*m = -97, 502*n + 3*m + 3 = 503*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*n - 35 = 0, -n + 0 = 5. Suppose g - t*g = -116. Let y = g + -1. Is 28 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2*(-2)\/(-8)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-2))\/1 - -28. Suppose -5*p = -2*u - 7, -3*p - 4*u + i = -0*p. Solve 0 = -4*m + p*k + 4 + 1, 5*k = -3*m - 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-308)*(-132)\/(-297)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04211 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*n**5 + 227*n**4 - 16746*n**2 wrt n?\nAnswer: 3300*n**2 + 5448*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 5, a: 8}. Give prob of picking 2 w and 1 q.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*t - 1357 = 181 + 550 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82202 minus 1?\nAnswer: 82201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-12))\/(1\/(-4)). Let b be -2 + (4 + -2 - d). Let n be b\/3 + (-10)\/(-3). Solve -3*q = -n - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 49. What is the lowest common multiple of 6 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/18 + 247592\/(-48). Is ((-35)\/(-14) - 3)*1*j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-2 - 0) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 1. Let z = h + 23. Find the third derivative of 10*s**5 - 7*s**2 + s**2 + 7*s**z wrt s.\nAnswer: 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 27*s + 65 = 3*m, -4*s = -m - 273. Solve 39*n - s*n = -29 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 24 - (5 - (-2 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from ebcbbbbbbeebbcb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.93139 micrograms to grams.\nAnswer: 0.00009593139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose -4*i + 28 = -j*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -293 + o - 313 + 898 - 25*o - 298. What is m(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905858\/5 + 2\/5*c**2 - 2692\/5*c = 0. Calculate c.\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9548255*k**2*z**2 - 3*k*z**2 + 155899*k*z - 3*k wrt k?\nAnswer: -19096510*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8 and (-2)\/(-1 + ((-1248)\/291 - -5)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2 - 3. What is the biggest value in d, -3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/450*-6*11.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -25*j**4\/6 - 37*j**3\/6 + j**2 + 34*j. Find the second derivative of r(m) wrt m.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 6, a: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22447704.\nAnswer: 2, 3, 241, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3 - (-4)\/(-8)*4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + a - 5 = 0, 0 = -5*l - a - 0*a + 11. Let f = -61.27 - -61. Let u = f - -0.37. What is the second biggest value in l, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1208514970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-62)\/(-3) + 4\/(-6). Suppose 0 = 3*x + x + f. Let p = -633 + 632. Sort p, -0.3, x in decreasing order.\nAnswer: -0.3, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 3, -4, 1.83?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 5*d - 5*g + 65 = 0, -3*d + 182*g - 162*g + 39 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*w + 494*w + 2893 - 24774 = -2103 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*i + 3*x - 5*x, -2*i - 4*x = -16. Solve 5 - i = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1151331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2815, -2844, -2873, -2902, -2931?\n\"Answer: -29*g - 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*k + 918*k**4 + 42 - 37*k - 3*k**2 + 1009*k**4 + 444*k**4 wrt k.\nAnswer: 56904*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6743 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.138 - 0.008?\nAnswer: -235.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 61 - 11. What is the remainder when 27 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 + 73 = 29*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332355442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -0.07, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 r, and 1 w when four letters picked without replacement from nmrmmmwmnmmamnnnmnmn?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -25.35 (c) 7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.173986 take away 0.0976077?\nAnswer: -3.2715937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*f**2)*(5*f - 3 + 4 - 2*f - 2*f**2) as u*f**4 + b + n*f**2 + o*f + k*f**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2379\/(-429))\/(6\/66)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/305 or 1?\nAnswer: 3\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24513564?\nAnswer: 2, 3, 2042797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194812 rounded to 3 dps?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(1397\/99 + -14). Suppose -s = -2*g - 1117, 0 = 4*s - 5*g + j*g - 4486. What are the prime factors of s?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3765 and 5940?\nAnswer: 1490940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-2))\/((-4056)\/3549)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let v = 29\/33 + -6\/11. What is the nearest to -1\/3 in g, v, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*v + 66 = -457*v. What is the greatest common factor of v and 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.585294 milliseconds in minutes?\nAnswer: 0.0001097549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 7 + -2)*(3 + 2). Suppose 16*y = w*y - 9. Let v = -19\/2 - y. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5101706ms in hours?\nAnswer: 0.0000020861585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -9. Let k = 13 - m. Suppose a + 569 = k*q, q + 5*a - 301 = -q. Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24083599 + -1.2.\nAnswer: -24083600.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 709 = 729 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18091 - 10322. Let b = 25872 - c. Suppose 3*s + s = -y + 14479, 5*s = 3*y + b. What is s rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/2 - 3427202*h**3 + 5872853347199*h**2 + 11745716976006*h + 11745720403209\/2.\nAnswer: (h - 3427203)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*v**2 - 42388*m**3*v - 3*m**2*v**2 + 23376*m*v**2 + 3*v**2 wrt m.\nAnswer: -6*v**2 - 254328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -196. Calculate the remainder when 102 is divided by 4 + (i - 6)\/(-5) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45225821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2075, 2077, 2077, 2075, 2071, 2065?\n\"Answer: -m**2 + 5*m + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 56 + 46 - 116 - 39 + 53.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:17 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k - 7490*k**3 + 7 + 8*k - 4955*k**3 - 33*k - 48 - 3*k**2 wrt k.\nAnswer: -74670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {n: 2, c: 2, b: 12, y: 2}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 2. Determine w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1182*q + 3\/5*q**2 + 582135 = 0. Calculate q.\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/(-3)*((-14)\/35)\/((-60)\/43425). Calculate the greatest common divisor of 44 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 17636 + 8910 + 8306)*(-3 + 5 + 0).\nAnswer: -2*c - 840","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -413, -23, 2\/5 in ascending order.\nAnswer: -413, -23, -1.9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/7, 2.804, 0?\nAnswer: 2.804","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140799, 281674, 422549, 563424, 704299, 845174?\nAnswer: 986049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 12) to base 7.\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5\/2 + 1196*x**4 + 78241*x**3\/2 - 56423*x**2 - 8321712*x - 3317184 = 0. Calculate x.\nAnswer: -443, -24, -2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 15 = 5*f, -203*f + 5*o - 1 = -206*f. Factor -2\/7*u**f - 4\/7 + 6\/7*u.\nAnswer: -2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2) + (-2478)\/118?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 149, 160?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 4*w - 1. Let b be r(-3). Suppose -4*o + 364 = 4*c, o + b*c = -0*o + 87. Suppose -o = -7*g + 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569.\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-7) - 3406\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16325.41 rounded to the nearest 10?\nAnswer: -16330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 137 = 3*l, 2*k + 562 = 6*k - 5*l. Let o = -132 + k. What is the smallest common multiple of 19 and o?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2047\/(-253) - -12*(-6)\/(-66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 13\/3*h**2 + 5\/3*h**4 - 1\/3*h**5 - 10\/3*h + h**3 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let w be c(-5). Factor -37*p**4 + 2*p**2 + 2 + 30*p**4 - 2 - w*p**3.\nAnswer: -p**2*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from mrsmmmmmm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayayayyayyyayyyayyy. What is prob of picking 1 y and 2 a?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86444447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 11 + 1. What is the smallest common multiple of w and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*t + 94*t + 64*t**4 + (2*t**2 + 0*t**2 - 3*t**2)*(-2*t**2 - 2*t + 2*t).\nAnswer: 66*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5664554 is divided by 207.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -534*h**2*r + 10*h*r**3 + 109*r**3 - 138*r**2 with respect to h.\nAnswer: -1068*h*r + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 16*b + 21*b + 32, -68 = -8*s + 5*b for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3956930\/209 or 18932?\nAnswer: 3956930\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 49 - 3 - 46 + 186*m + 18*m. Let g(y) = -20*y. What is g(v(k))?\nAnswer: -4080*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2686862 greater than or equal to -2686862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/48)\/(175\/140)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-420)\/(-70)*3\/27*3*7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 - 1 = -5*h, 2*h + k - 6 = 0. Solve h*r + 20 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-12)*(-12)\/(-9). Let l be v\/(-9) - 14902\/57. Let o = 262 + l. Put -0.3, o, -1 in increasing order.\nAnswer: -1, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k, 2*r - 8 = k + 3*k. Let w be -2*(1 + 1)*r\/(-8). Let f(j) = -5 + 4*j**3 - 4*j**3 + j**3 + j - 6*j**2. Determine f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -9 + 5 - (1 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20562681409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1556 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -2\/5, -15\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 679 + -29?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 83396072953.\nAnswer: -83396072960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1\/6*m**4 + 0 + 0*m**2 + 5*m + 0*m**3. Factor o(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431649 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1505\/35 + 8\/1. Suppose -g*u = -56*u + 15. What is the remainder when 6 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2 + (-5 - -2)*9\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(1\/3))\/(((a**(-1\/18)\/a)\/a*a)\/a))\/(a*a**3)**9)**(-3))**(13\/6) assuming a is positive.\nAnswer: a**(7787\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 84*n - 57. What are the prime factors of z(7)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30195123643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3017985 and 3?\nAnswer: 3017985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13910 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*t - 209*t = -81 + 141 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3734 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 280, 552, 824?\n\"Answer: 272*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*u = -970, -3*g - u = u - 1000. Suppose -5*c + 20 = 5*p, 2 = c - 0. Suppose -g = -4*h + p*h. List the prime factors of h.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54703 is divided by 99?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*v + 45 - 4, -v + 11 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:37 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {s: 2, q: 2, c: 2, k: 5, r: 8}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 19 = 5. Suppose 7 = -5*j + 5*w - g, -3*j = -w + 7. Let l = 273 - 272. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 + -2221333?\nAnswer: -2220786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 4.8.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14328 - 14327.9999977845. Round k to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.006 and -87920?\nAnswer: 527.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005033 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*i - 312*i + 36 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623103 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3)\/m**(-3\/2))\/((m*m*m**(-9)*m*m)\/(m\/(m*m**(5\/6)))) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**3 - m**2\/2 - 3*m + 1656. Give b(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -1\/5*p**5 + 0*p**3 + 0*p + 1 + 0*p**4 + 0*p**2. Factor s(w).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.3. Let u = w + -1.2. Let b be (-59649)\/(-26550) + 1*39\/(-18). Sort b, -4, 1\/3, u in ascending order.\nAnswer: -4, u, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 16 + 4. Let s(y) = -y**3 + w*y + 0*y**3 - y**2 + 4*y**2 - 3. Calculate s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -413, -400, -381, -356, -325?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:33 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-3\/10)*l**(-2\/35) assuming l is positive.\nAnswer: l**(87\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79950 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 1, p: 1, c: 3}. Give prob of sequence tco.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose 768 = a*o - o. Suppose 192*v**3 + 2*v - 3*v**2 + v**4 - o*v**3 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1932 = -i, -5*i - 3*o = 1018 - 10654. List the prime factors of i.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10*q = -18. Let b(n) = 80*n**2 + 6*n + 4. What is the tens digit of b(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1609*k + 1153*k - 7264*k in the form g + a*k and give a.\nAnswer: -7720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1731483 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229 - 12*h - 229 - 21*h - 24*h + 46*h + (-3 + 5 - 3)*(h - 3*h + h) + h - 4*h + 2*h to the form d + q*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7973 is divided by 725?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 35 = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - -59.61. Let y = -82 + v. Let u = 9 + y. Which is smaller: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**3*m - 3396*b**3 - 2*b**2*m + 684*b*m + 2*m - 39 wrt b.\nAnswer: -48*b*m - 20376*b - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5432 and 2417240.\nAnswer: 2417240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*2 - sqrt(385) - sqrt(385))\/sqrt(7)*5)\/((sqrt(539) - sqrt(539)*2)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-90) - 1*(-4)\/18. Let w(r) = r**2 + 0*r**2 + 16 - r - 5. Is 8 a factor of w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(10\/(-15)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -16. Sort 0.5, 0.1, b in increasing order.\nAnswer: b, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 263*u**2 - 143342*u + 3806. Determine f(545).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:08 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2. Let a(l) = -8882*l. Calculate a(x(g)).\nAnswer: -8882*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 22, 20, 16, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3, 2*n = -0*v - 4*v + 2. Suppose -2*u + n + 5 = 0. Let c(r) = -4*r + 2*r + 0*r - 4 - u. Determine c(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5209 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -100. Let t be (2\/(-5))\/(3\/i). Let h(u) = -2*u**2 - 2*u**2 - t*u + 6*u. Let m(k) = -2*k**2. Give h(m(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u*u*(u\/u**(2\/3))\/u*(u**(-6)\/u*u)\/u*u*u**2)\/(((u*u**(-1)\/u*u)\/(u\/(u**6\/u)))\/(u**4\/u**5)) assuming u is positive.\nAnswer: u**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16036988.\nAnswer: 2, 11, 19, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49440, 46257, 43074, 39891, 36708?\n\"Answer: -3183*o + 52623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 129281.6379 to the nearest 10.\nAnswer: 129280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -26*z - 4. Let j(o) = -26*o - 3. Let a(t) = 3*j(t) - 2*x(t). Is a(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/20 - 5*p**4\/6 + p**3\/6 + 3*p**2 + 3*p. Calculate the lowest common multiple of 18 and h(10).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61008 and 656.\nAnswer: 61008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -419191*h**3*t**2 + 2*h*r - 124*r*t**2 - 1743*r*t + 6*t**2 wrt h.\nAnswer: -1257573*h**2*t**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.443, 1\/2, -3, 3, -29 in increasing order.\nAnswer: -29, -3, -2, 0.443, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-9)\/63*2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 592*k**2 + 1795*k + 333. Calculate the least common multiple of l(-299) and ((-130)\/3 + -2)*-3.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 16*q**2 + 55*q + 7. Let c be y(-11). Solve -3*j + 1 - c = -2*v, 4*j + 3*v = 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.39879 + -0.4. What is b rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -89*b - 840. Calculate u(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*d**2 - 7*d**4 + 55*d**2 - 2*d**5 - 116*d**2 + (d**3 + d**3 - 3*d**3)*(d**2 - d**2 - d**2).\nAnswer: -d**5 - 7*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6820 and 17081.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 3*y**2 + 30*y + y**2.\nAnswer: -2*y**2 + 69*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 6*k**2 + 5*k**2 - 2 + 2 + 10*k**2 in the form l*k**2 + n*k + v and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*-1)\/((12\/(-96))\/((-30)\/(-80))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x + 0 + 18*x**2 - 18*x**4 + 21\/2*x**5 - 33\/2*x**3 = 0.\nAnswer: -1, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.943 - 0.177. What is v rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(3\/(-6)*-1). Let o be c - (111*-115946 - -5). Suppose -89*h + o = -92*h. Round h to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**6\/2 - 34*o**3\/3 + 35. What is the third derivative of a(w) wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8173 and 587713.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*-4.152.\nAnswer: 124.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + k + 1. Suppose -4*w + w - 3*v = 0, 4*v + 2 = -3*w. Let r(o) = 2 + 5*o + w + 0. Let b(n) = -r(n) + 4*u(n). Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70245*r**3*y**2 - 2*r**3*y - 1103*r**3 + r**2 - 84*r*y + 206*y**2 + 5*y + 2 wrt y.\nAnswer: -140490*r**3 + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 344, 561, 784, 1013, 1248?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. What is the lowest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328325646 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 546.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + y - 22 = -6*j, j - 10 = -3*y. Suppose -10 = -2*c - j. Suppose 2*f + 2*g + 15 = c*f, -2*g + 36 = 2*f. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311310103 (base 5) in base 11?\nAnswer: 7a1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -3\/4 (c) 0.7 (d) -3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 23 - 23 - 3*v**2 in the form f + p*v**2 + y*v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 72. Let t be w(-23). Let x be 2 + 3 + (t - (-6)\/(-1)). Suppose -x*c - c + 2 = h, -3*h - 4*c + 11 = 0. Solve 3*l + h = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 1. Let s(l) = 5*l**2 + 4. Give 4*r(o) + s(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/6*r**4 + 0*r**2 + 0 + 0*r**3 - 2*r. Let b(l) = -2*l**2. What is b(o(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006814466 rounded to 6 dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 5. Let x be n(-7). Suppose -x*r - 2*t = -28, 5*r - 29 = 3*r - t. Let s be (-4)\/6*-20*r. What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 2. Let q be d(1). Suppose 0 = -4*a + 5*a + 3. Do a and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 64*c**4 - 1519*c**3 - 15568*c**2 - 52480*c + 69632.\nAnswer: -(c - 1)*(c + 16)**3*(c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -102324879 less than or equal to -102324879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1715 - 1112. Let n = v - 189. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcffddfffdqffqcqfff. What is prob of sequence qc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + (sqrt(121) - (2*sqrt(121) + sqrt(121))) - sqrt(121)) + sqrt(121))*-2 - sqrt(121))\/sqrt(11).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197*g + 191 with respect to g.\nAnswer: -197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34972 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: Simplify (m**(-14\/9)\/m)\/m**(-4)*(m\/(m**0*m))**(8\/5) assuming m is positive.\nAnswer: m**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9236126*g**3 - 96*g**2 - 683*g - 17.\nAnswer: 55416756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (0 - -1))*-1. Let m = -526 - -533. Let l be (m - 7 - 5) + 3. Put l, 2, 4, h in increasing order.\nAnswer: l, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) -6 (c) 2\/15 (d) -2 (e) 2\/7 (f) -1.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*m - 100 - 40. Solve -5*l = -5*n + m, -401*n + 5*l + 20 = -404*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 882.61 and 220.075004?\nAnswer: 662.534996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(931) + sqrt(931) + sqrt(931)*3 - sqrt(931)) - (-5 + sqrt(171)*1)**2.\nAnswer: -196 + 142*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 2. Let q = -22 - -24. Calculate the remainder when 2\/(-16)*-6*60 is divided by n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f + 0 - 8*f + 32 - 89 + 24 + 33.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 3*a - 173. Let h(d) = -d**2 - d. Give -4*h(y) + v(y).\nAnswer: y**2 + y - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 0*1\/(-4). Suppose 1 = k - m. Suppose -5*a - 15 = 5*v, -9 = 4*a - 4*v + 7*v. Solve 4*b - 12 + k = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 5563218*t**3 - 2579233033236*t**2 + 108317974101624*t.\nAnswer: -3*t*(t - 927182)**2*(t - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445408 is divided by 361?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -3?\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 + 8*t**2 + t + 41. What is the thousands digit of u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(171) + sqrt(171) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6 = 4*h - 2, h + 10 = -4*q. Let a = -1 - -1. Suppose 2*r - g - 4 = 0, 2*r = 3*g + 7 + 1. Solve a = b - r - h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56+-44.097\nAnswer: 11.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - 7*r + 7. Suppose -5*w = -16 + 26. Let i(y) = y**2 - y + 1. Give w*q(z) + 14*i(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427.5 - -428. Let t = 10.163 + -0.163. Which is the biggest value? (a) t (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 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: Suppose 2*w - 74 = -0*w + p, 5*w - 192 = -p. Let k be w\/(-57)*54\/(-1). Let n be (-18)\/k - 10\/4. Which is greater: n or -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((63\/28)\/1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1520445614 - -3?\nAnswer: -1520445611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5*6)\/((-3)\/54*-252)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.918 - 0.082. Let i = -90 - w. Which is the second biggest value? (a) 1 (b) 4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005 (base 7) in base 15?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -423 - -454. What is the remainder when x is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -392598*u + 5202. Let i(d) = -302*d + 4. Give -6*f(w) + 7803*i(w).\nAnswer: -918*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-7 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2838\/2003095 or 1?\nAnswer: 2838\/2003095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 514, 1138, 1990, 3058?\nAnswer: 4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 + 25*u**3 + 94*u**2 - 280*u = 0. Calculate u.\nAnswer: -5, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -659334674, -659334676, -659334678, -659334680, -659334682, -659334684?\n\"Answer: -2*w - 659334672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-364)\/112 + 10\/8. Let a(h) = 18*h - 47. Let q(n) = -19*n + 45. Let j(z) = i*a(z) - 3*q(z). What is the derivative of j(f) wrt f?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 1920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 + l + 1. Let g(a) = a**2 - 88. Let x be g(-10). Let h be -9 - (8\/2 - x). What is f(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*g + g**2 - 2 + 3*g**2 + 3340*g - 2*g**2.\nAnswer: 2*g**2 + 3484*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3707 + 19263. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 24 + 30 = 0. Let v(w) be the third derivative of w**5\/30 + w**4\/8 + 2*w**3\/3 + 4*w**2. What is the tens digit of v(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81116 and 5684?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from uuuuuuuzuzuuuuuuuu.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -360*o + 4*o**4 + 101*o**2 + 357*o - 2*o**4 - o**3 in the form y + k*o**4 + f*o**2 + x*o**3 + p*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1\/482 (b) -5\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1632?\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2*3\/6). Let k(f) = f**2 - 2*f + 1. Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - p = -17*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s**3 + 5*s**3)*(5*s - 2*s - 2*s + (-7 + 3 + 3)*(-1 - 3 - 13)*(-s + s + s) - 1 + 1 + 2*s).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 3086 + 5626 = 0. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(60)*5 + sqrt(60))\/sqrt(12))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q - 53. Suppose -65*h + 69*h + 16 = 0. What is the remainder when a(h) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {u: 2, d: 10, m: 2}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let a be m(1). Let b(n) be the second derivative of 0 - 2\/3*n**3 + n**a - 3*n. Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 2*m + 1. Let o be u(-2). Let w(p) = p**3 - 8*p**2 + 6*p + 9. Let t be w(7). Suppose -o*x = -s - 8, -x = t*x. Is s less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 17157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 1, -2 in increasing order.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21157328977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -22. Suppose 0 = -y + 3 - t. Let j = 4 - y. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 30*a**2 - 30*a**2 - 3*a + (-5 + 2 + 1)*(-3*a**3 - 8*a**4 + 3*a**3) to the form u*a**2 + q*a**3 + k*a**4 + z + d*a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*f + 1707*f - 33234 + 8398 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 4, 7, 10, 13, 16?\n\"Answer: 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -2) + 2 - -2. Let a be -2*w\/((-16)\/(-6)). Let i = 5 + a. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*i + 4*v, 5*v + 73 = 5*i - 72. Suppose -2*f + 15 = -i. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.85893 to 2 dps.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.161 - -9947194.\nAnswer: 9947191.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/8)\/(2625\/24000)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 13*x**2 + 10*x + 48. Give g(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 28. Determine o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1 - (0 - 3)). Let d be (m - 2)*(-2 + 1). Let k = 2 + d. Solve -k*t = -14 + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1164 - 2005. Let m = g + 841.479. Let s = m + -0.3888. Round s to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 680 = -44*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 9. Suppose -19 = -5*f + 646. Let t be (f\/(-28))\/((-1)\/8). Let y = t - 46. Calculate p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**5\/120 - 11*r**4\/12 - 121*r**3\/3 - 6*r**2. Determine s so that p(s) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3864 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6 - 6. Let v = 448 - 436. List the prime factors of ((-556)\/w)\/((-4)\/v).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36074 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2977902 and 74796.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 122. What is h(12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 46, -2, 5.\nAnswer: -5, -2, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3*f**2 + 39*f + 49. What is the units digit of u(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58385.\nAnswer: 5, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3165356 (base 7) to base 11\nAnswer: -244067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 76 - 860 + 2)*(6 - j - 6).\nAnswer: 1013*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b0aa33 (base 12) in base 3?\nAnswer: 121102102101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 3*x + 5. Let n be (-3)\/(-18) - 23\/(-6). Let o be r(n). Let s(m) = -3060001*m**3 + 2*m**2 - m. Let c be s(o). Round c to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 3*r + 1. Let l be h(2). Let v(a) = -a + 11. What is the remainder when 5 is divided by v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*w + 17576 = -21483 + 11367 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940856?\nAnswer: 2, 7, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 104 = -6*m. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152, 150, 148, 146, 144, 142?\n\"Answer: -2*m + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdt when three letters picked without replacement from {k: 1, d: 7, t: 6}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32169 is divided by 315?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*q + 25 - 12, -8*q = b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5150346, 10300693, 15451040, 20601387?\nAnswer: 25751734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-5)\/(-10*2)). Suppose 2*c - m*c = w - 15, c = 3*w - 80. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let s(f) be the first derivative of -f**6\/30 - f**3 - 6. Let a(w) be the third derivative of s(w). Calculate u(a(v)).\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.17 plus 1.43?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(5))\/sqrt(4) - (sqrt(13) + sqrt(13) + (sqrt(52) + sqrt(208))\/sqrt(4)))**2 - sqrt(325)*-2*5*-3.\nAnswer: -150*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 340 - 24 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619497 is divided by 123.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67558.39ml?\nAnswer: 67.55839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 23*i**2 + 4*i - 4. Let g(t) = -12*t**2 - 2*t + 2. Let y(w) = 11*g(w) + 6*k(w). What are the prime factors of y(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*2*sqrt(112).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*l + 20, 2*o + 7497*l - 7499*l = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) + 5\/(-10). Let n(j) be the second derivative of -j**4\/12 + 2*j**2 - 10*j. Let r be n(v). Sort r, -4, -2 in increasing order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443431 (base 5) in base 12?\nAnswer: 23071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j - j**2 + 0 + 1\/6*j**3 + 1\/60*j**6. What is the first derivative of h(b) wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 184*d - 42. Let i be m(10). What is the second derivative of -143*n - 130*n**4 - 54*n**4 - 1798 + i wrt n?\nAnswer: -2208*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.08 + 14.0207. Let o = s + 0.059726. What is o rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c**2 - 12*c - 9. Let q(m) = 3*m**2 + 3*m + 2. Calculate 18*q(p) + 4*r(p).\nAnswer: 2*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 11:33 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 12*d**2 - 13*d - 28. Suppose 14*f - 4*f + 120 = 0. List the prime factors of g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1401, 5472, 12257, 21756, 33969, 48896?\n\"Answer: 1357*r**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5*y**3\/3 - 4*y**2 - 4*y + 4303. Let u(k) = k**2 - k - 1. Let s be (-1 - -3)\/2 - 2. Calculate s*l(n) + 6*u(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3897 - -0.0503. Let v = k + -100.44. Which is the third biggest value? (a) -3 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 + 60*z + 98. Let a(m) = -35*m**2 + 353*m + 592. Let k(g) = -4*a(g) + 23*h(g). Let k(u) = 0. Calculate u.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 5791*a - 5. Let w(m) = -m**2 + 44*m + 1. Calculate 5*w(g) + y(g).\nAnswer: -g**2 - 5571*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 + 207*n**2 + 2*n - 4.\nAnswer: 24*n + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*g + 143*g - 6. Solve -g*o = -3*q + 4, q = -3*o + o - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -14. What is the remainder when 66 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/15)\/((-2)\/(-12)). Let b(t) = 16*t. What is the least common multiple of b(1) and (-1)\/((-11)\/(-6) - j)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23615551 rounded to the nearest ten thousand?\nAnswer: 23620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 12 + 3 + u**2 - 15.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2901 = -3*j, b - 3*j - 1061 = 394. Suppose 4*m - 2104 = b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) - 2*sqrt(76))*3 - sqrt(76)) + sqrt(76) + -2*(1*sqrt(76) + sqrt(76)) + sqrt(76))*-5)\/(sqrt(484)*3*-6*-6).\nAnswer: 5*sqrt(19)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72333?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -87, -169.\nAnswer: -169, -87, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -5*q + 402. Let z = q - 1. Suppose 0*t - 4*t + z = 5*v, -2*v = -2*t - 26. What is the smallest common multiple of 16 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 21\/9)\/(-23 - (-1700)\/75).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + q**2 + 5*q - 4. Let v(r) = -4*r**3 + 4*r - 3. Let m(j) = 5*p(j) - 6*v(j). What are the prime factors of m(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 1. Let o(j) = -2*j + 5. Let x be o(t). Suppose 3*v - x + 3 = 0. Solve v*b + 0 + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23043 is divided by 3153?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*v**2 - 27*v**3 + 5 + 21*v**3 + 2*v**3 as a*v**3 + q*v**2 + b + g*v and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -444502224100*d**2 + 18001170*d - 729\/4 = 0. Calculate d.\nAnswer: 27\/1333420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -50, -1, 1, 4\/32073?\nAnswer: 4\/32073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = 3*s, 134 = h + 2*s. Let b = h + -128. Suppose -2*n + i + 7 = -n, 4*i = b*n - 22. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -298*v - 4463. Calculate b(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12997.89 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3884*s + 9. Let r(w) = w**2 - 20*w + 50. Let i be r(17). Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -611990\/21 - -29139. Calculate the common denominator of f and -33\/287.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2 + 0) - (-8)\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.875443us to days.\nAnswer: 0.0000000019430028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*b = 26, 0 = -8*u + 3*u + 5*b + 35. Suppose -m - 2*x - 1 = -10, 5*x - 17 = u*m. Let f(k) = 1 + 0 - m + 3*k. Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12 - 11 - 39*i.\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.3 + 17.3. Put -2, g, 1\/2 in descending order.\nAnswer: 1\/2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 3. Let b = 7 - 5. Suppose -q - 2*g = 2*g - 1, 3*g - 3 = -3*q. Let n(o) = b*o + 0 - q - o. Determine 2*k(w) + 4*n(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**2*p*w**2 - f**2*p*w + 3*f**2 + 11*f*p*w**2 - 4*f*p*w + 2*f*p - 2*f*w**2 - 2*p*w wrt w?\nAnswer: 38*f**2*p + 22*f*p - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16988*v**2 + 16164*v**2 - 35988*v**2 + 561*v wrt v.\nAnswer: -5672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -27*a**3 - 3*a**2 - 5*a - 7. What is the least common multiple of 33 and l(-2)?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3.4002.\nAnswer: 3.4002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3\/5, -3, 3, 16\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -29, -80, -151, -242?\n\"Answer: -10*y**2 - y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 16*m - 9. Let s be p(4). Sort -2, s, 3 in decreasing order.\nAnswer: 3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.22143 and -0.1.\nAnswer: -0.222143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 562622823 by -6363.\nAnswer: -88421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42932.\nAnswer: 2, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:02 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*v + 82*v - 117*v = -3620595. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Suppose -8*n - 14 = -15*n. Let j(u) = 4*u + 1. Let f(s) = 1 + 2 - 3 + 3*s + 1. Let t(i) = 3*f(i) - 2*j(i). What is n*t(k) + 2*l(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 153?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683101, 2732380, 6147843, 10929490, 17077321, 24591336, 33471535?\nAnswer: 43717918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, n: 5}. What is prob of sequence ynn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2171342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119862 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p = -32*p - 3036. Find the common denominator of 12\/(-9)*p\/(-110) and (-2)\/((-3)\/((-6)\/19)).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 0*c**2 + 12*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*a - 1 + 12 = 0. Sort 3, 14, a, -3, -5 in decreasing order.\nAnswer: 14, 3, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86939960 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -658*k**4 + 58*k**3 - 2*k**2 + 461555*k.\nAnswer: -7896*k**2 + 348*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 1.6, 1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f + 17*f + 4 - 8*f - 7 + f**2. Calculate q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 7*m + 3*m**4 + m**3 + 54 + 8*m + m - 20*m to the form x*m**3 + c + q*m**2 + b*m + i*m**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 3*x + 1, -3*k - 5*x = 10 + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -97885626574746 and -5.\nAnswer: -97885626574751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 8260*q**2 - 3460400*q + 40344000.\nAnswer: -5*(q - 820)**2*(q - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -79034 greater than -79034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 4*u - 6, -5*t + 4*u + 15 = 0. Suppose -t*b + 18 = 2*g, -3*g + 21 = b + 1. Solve q = -g*q + 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.75 - -83.75. Let f = 83.07 - u. Which is the closest to 0? (a) f (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2016, -497, -4684, -10545?\n\"Answer: -837*w**2 - 2*w + 2855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 m, and 1 n when four letters picked without replacement from manmfrmammmf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let h(b) = -b. Suppose 4*n + 13 = 5. Let s(r) = n*h(r) + w(r). Let d(i) = -4*i. What is s(d(y))?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331)*-4 + sqrt(1331) + sqrt(1331))**2.\nAnswer: 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*a - 60 = -0*a, 4*t = 4*a - 136. Let f = 51 - 32. What is the remainder when -2 + t\/4*-6 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by 10\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 2\/9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 - 6*j - 6. Let b(q) = -3*q**3 + 5*q + 6. Let o be (-4 - -3)\/(7\/28). Let a(h) = 41*h + 159. Let f be a(o). Determine f*n(s) - 6*b(s).\nAnswer: -2*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 47\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7136.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 14. Let m(z) = -2*z + 7. Let n be 2\/6 - (-10)\/(-3). Let y(q) = n*x(q) - 5*m(q). Calculate the remainder when 8 is divided by y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 43140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 = -q - 6, -4*q = -2*c - 26. Suppose -q*g + g = a - 4, -3*a = -5*g + 30. Find the first derivative of -2*h**4 + 27*h**2 - 27*h**2 + 1 + g wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21\/5)*p*p*p**(-27) assuming p is positive.\nAnswer: p**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.7 hours in milliseconds?\nAnswer: 996120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10535 = -2*v, -4*v = -m + 3292 + 223. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c - 30. Let y(m) = m**2 + 3*m + 6. Let f be y(-3). Suppose -f*w = -5*w + 7. What are the prime factors of d(w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-96) + (-2)\/6. Suppose -18 = -3*w + 3*t + 21, 3*w - 39 = 2*t. Let j be (-23)\/7 + w + -10. Which is the nearest to n? (a) 0.4 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**(-3\/7))\/r)**(17\/5))**(-46))**(41\/4) assuming r is positive.\nAnswer: r**(-16031\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -724 * -5.\nAnswer: 3620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -689\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768891.\nAnswer: 3, 197, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4986?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/26805932 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/30619720 and -31\/16840846?\nAnswer: 336816920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 40*r**2 - 113*r**2 + 57*r**2 to the form g*r + t*r**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/((-315)\/20)*(-203)\/58. Put 0, -30, m, 1 in descending order.\nAnswer: 1, 0, m, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00557 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.725, 64, -1\/29 in decreasing order.\nAnswer: 64, 11.725, -1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3))\/v)**(-8\/5)*v*v*v**(-2\/5)*v*v*v**(-14)\/v assuming v is positive.\nAnswer: v**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 38*t - 42*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 0.01 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p. Let w(z) be the second derivative of 212*z**3\/3 + 32*z - 52. What is w(d(x))?\nAnswer: -2544*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2. Let g(s) be the second derivative of -s**5\/60 - s**3\/2 + 2*s. Let m(l) be the second derivative of g(l). Give m(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19.7 * -2.9\nAnswer: 57.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125830 is divided by 41652.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b + 13 + 18 - 35*b**2 - 33.\nAnswer: -35*b**2 - 60*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -667.8091 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 1. Determine r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(1*sqrt(9)) + sqrt(35) - sqrt(35))\/(sqrt(80)*-2).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -48, 67, -52 in decreasing order.\nAnswer: 67, -2, -48, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -346 (base 14) to base 13\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77219 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y = -75*y + 133*y + 9*p - 637, -166 = -4*y - 2*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69513*s**4 - 34*s**3*z + 1244*s**2*z - 21*s*z - 2*z wrt s?\nAnswer: -1668312*s - 204*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 31625*m + 6 - 31626*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30215 - 11?\nAnswer: -30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (1 + 11 - (-9 + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1881, 12310, 39835, 93006, 180373?\n\"Answer: 1425*r**3 - 2*r**2 + 460*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(112) - sqrt(432)*-2) + (sqrt(6)\/sqrt(2)*-4 - (sqrt(3) + -6*sqrt(15)\/sqrt(5))**2).\nAnswer: -75 + 81*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -3. Let a = 1 + g. Let z be (-1 - -12) + a\/(-4). Calculate the greatest common divisor of z and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 2\/15, 5, -0.045, 0.02?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/5*(-5)\/(-2). Let d(c) = -2*c**2 + 8*c. Let q(i) = i**2 - 5*i. Determine h*q(m) + 5*d(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5294 + -5198. Suppose 6 = 3*m - 0. Suppose 0 = m*u + 4, -5*o = -3*u - g - 295. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39707 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 2*k + 15, -32*n + 14 = -30*n - 4*k. Let c(o) = 3*o**2 - 4*o. Let r(g) = -g**2. Calculate n*c(h) - 4*r(h).\nAnswer: 7*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 + 1128035*v - 6768030 = 0. Calculate v.\nAnswer: 6, 225601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/200*(-5)\/15*15\/2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y + 24*y - 44451. List the prime factors of y.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d8 + -9a?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejej when four letters picked without replacement from eejjjjeejjjjej.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let c(l) = m*l + 2 + 10*l - 2. Let w(v) = -2*v**2. Determine c(w(h)).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*l - 37, -3*m + 2*l + 9 = -0*l. Put -2, -73, m in ascending order.\nAnswer: -73, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 * 7.62.\nAnswer: -23.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*sqrt(605)*-1 + ((sqrt(120) + sqrt(120)*2 + sqrt(120) + sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(3))\/(sqrt(392) - 2*sqrt(392)))**2.\nAnswer: -520*sqrt(5) + 21141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*p - 1164*p = -f + 2, -4*f + 17 = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -67308\/137867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6844903 not equal to -6844902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 7 = 7*m - 32 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.21898169384 and 6.041?\nAnswer: 5.82201830616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2157, -2158, -2159, -2160?\n\"Answer: -d - 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:33 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 + -12 + -3 + -3. Let f(v) be the second derivative of -2\/3*v**3 + 2*v**2 + 3*v + z. What is the first derivative of f(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000627 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-8)*(0 + -18). Calculate the greatest common factor of t and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = 7*m. Suppose b + 4 = m*b. Suppose -14 = -4*g - 3*w, 2*g + 3*w + b*w = 14. Solve 0 = -2*y - 0*t + g*t - 6, -3*y + 2*t - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5894*j*q**2*t**3*z + 7*j*q*t**2 + 2*j*t**3 - 5*j*t*z + 4*q**2*t**3 - 6*q**2*t**2 + 48*q*t**3 - t*z wrt z.\nAnswer: 5894*j*q**2*t**3 - 5*j*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11897.68 to the nearest one hundred.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59746 = 10*n - 5*t - 143134, 0 = 3*n + 5*t - 60838. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4469703 is divided by 282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -318, -317, -314, -309, -302, -293, -282?\n\"Answer: x**2 - 2*x - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u. Let a(n) = -7*n + 6. Let f(d) = 80 - 35 - 15*d - 32. Let l(o) = 13*a(o) - 6*f(o). What is j(l(r))?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g**2 - 50*g - 2. Let w(l) = 4*l**2 - l. What is u(c) + 4*w(c)?\nAnswer: 4*c**2 - 54*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-20)*(18850\/(-78))\/29*6\/(-20)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:04 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296114 divided by 42302.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.67 rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177341.\nAnswer: 37, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2829698.\nAnswer: 2, 1414849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402894?\nAnswer: 2, 701447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*g = 90, -5*a = 2*g - 0*g + 112. Does -24 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 4 (c) -2\/89 (d) -1\/3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**5 - 1785*b**3 - 1244*b**2 + 2 wrt b?\nAnswer: -660*b**2 - 10710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) -9 (d) 0.6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3361818 (base 10) to base 7.\nAnswer: 40401135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*s + 145*s - 26*s to c*s + t and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1738*t**2 - 2*t. Let f be x(-4). Let u = 3894273\/140 - f. Let s = u - 1\/28. What is the nearest to 1\/2 in 0, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/(2\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 3)*(0 - 1). Is o - 1 - 45*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 + -206. Suppose 89 + s = -3*u. Are u and -44 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264715 divided by -5\nAnswer: -52943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(sqrt(7) + -1 + sqrt(7)))**2 + sqrt(28) + (1 + sqrt(252))**2.\nAnswer: -6*sqrt(7) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14940449707.8025 take away 5?\nAnswer: -14940449712.8025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 0.1 (c) -1 (d) 94 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2 + 8*z - 7. Let x be (-6 - -5)\/(1\/(-7)). Give d(x).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 4 + (5 + -18 - -14)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose 16 = 6*u - n*u. Suppose -4*a + 5*g = 4*g - 9605, u*a - 2*g - 9610 = 0. Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-1)\/((-12)\/(-52)). Let k = c + -9. Differentiate 2 + 1 + 3 + k*m - 1 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 3*o**2 + 23*o - 4*o**2 - o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4383 + 4*j - 6*j + 4370. Calculate i(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*w - 3*x, -2*x + 5 = -2*w - 5*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 9\/(-2))*8. Let a = i + -2. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*270\/(-240)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = a + 199. Find the common denominator of 40\/(-30) - a\/12 and -27\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6273 at least -38\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257 + -256. Let n be 1\/((-1)\/4*-2). Solve -c - n = -p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -20. Suppose -49 = -5*y + 181. Calculate the remainder when y is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.438 - -0.2581. What is i rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84.828 - -4.308. Let x = 14.22 + j. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -221. Let x(g) = 11*g**2 - 706*g + 825. Let y be x(63). What is the highest common factor of u and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 26*h - 14*h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {d: 8, f: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -111 in descending order.\nAnswer: 3, -0.4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(8\/5))\/(31\/248). Let 0 - 125\/2*q**4 - 9\/2*q**3 - 50*q**5 + 2*q + v*q**2 = 0. Calculate q.\nAnswer: -1, -2\/5, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -3 + (-5 - -61) + 1 and 234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4212 + 4617. Calculate the least common multiple of 81 and h.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -8. Suppose -p = p - z, 3*r + 27 = 3*p. Let u be 42\/10 + 1\/r. Let b(n) = -5*n + 1. Let y(f) = 6*f - 1. Give u*b(j) + 3*y(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 5, -3, -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilxxgxixxrik. What is prob of picking 1 x, 1 k, 1 r, and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31551224 - -5?\nAnswer: -31551215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/31529232 and 81\/10090?\nAnswer: 157646160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284101 by 3849.\nAnswer: 284101\/3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from cczzdccchm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s - 8*s. Suppose 4 = 4*i - s*i. Find the second derivative of 4 - 4 + 3*v**i - v wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 17583 = 652*y + 19192 - 4533 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 = 2*d, d - 5*r - 18 + 5 = 0. Suppose 23 = -d*n + 116. Suppose -2*i + 19 + n = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. What is the second derivative of 69*o**4 + 3*o**z - 73*o**4 - 3*o**2 + 7*o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-130)\/767) - -3) + -15 + 341\/22\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2299 + -2297. What is the second biggest value in u, 0.82, -1\/7?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 11*v + 2. Let q be s(-11). Calculate the remainder when 70 is divided by (q\/3)\/((-1)\/(-27)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22 = 5*n - 112, 5*n - 3*p - 110 = 0. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 c, and 1 u when four letters picked without replacement from uohcehcohohcoccce.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let y(s) = s**2 - s. Let z be y(-1). Suppose p*j = -z - 0. Which is smaller: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10860887 is divided by 56.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/5679054 and 8\/2493?\nAnswer: 5679054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -865368227*l - 1037708047 wrt l.\nAnswer: -865368227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(32) + 2))**2.\nAnswer: 576*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049493 * -0.5.\nAnswer: 0.0247465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 - 0.35. Let w = -9.5 - -2. Let j = 8 + w. Put j, x, 3 in descending order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 93969.\nAnswer: 52\/93969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1389.0001658 + -1389. What is c rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625667?\nAnswer: 7, 89381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.9 + 12.2. Let w = 8 + -8.3. Sort 1\/3, w, u in ascending order.\nAnswer: w, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = 5, -4*k = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78650784.\nAnswer: 2, 3, 29, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11100?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3419 and 6617?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/2 + 3*z**2\/2 + 10*z. Let k(h) = -h - 1. What is -2*d(f) - 7*k(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*n - 17*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18081583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 811. Let h(w) = 7*w**2 + 804. Calculate 4*h(j) + 5*o(j).\nAnswer: -2*j**2 - 839","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/126756 and -97\/624726.\nAnswer: 8746164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/8 + ((-88)\/33 - 6\/(-144)) + 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 362851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457 is divided by 221.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 3. Let f be c\/6*6*1. Suppose 4*p - 4*h + 5*h + 16 = 0, 3*p - 3*h = f. Sort 3, 5, p in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**3 - 161*x**2 - 182*x + 314. Let g(f) = -15*f**3 + 482*f**2 + 544*f - 943. Let k(q) = 17*b(q) + 6*g(q). Determine r, given that k(r) = 0.\nAnswer: -2, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 2 - 25*-1. Let t = 2871 - 2866. Find the third derivative of h*n**2 + 23*n**t + n**3 + n**3 - 2*n**3 wrt n.\nAnswer: 1380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-40) + 4\/(-10). Let c = -223 - -499. Suppose -t + 337 = 3*g, 2*g + 4*t + 68 - c = f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424365, 1424366, 1424367?\nAnswer: 1424368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(3\/13)*h)\/(h\/(h**(1\/4)\/h)) assuming h is positive.\nAnswer: h**(77\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 - -362. Sort 3\/4, a, -1, 14.\nAnswer: -1, 3\/4, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y*y**(-12)*y)**(-15)\/(y*y*y*y\/(y*y**(-1\/5))*((y\/((y\/y**6)\/y))\/y)\/y*(y*y**0*y)**(-36\/11)) assuming y is positive.\nAnswer: y**(8309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2446*f**2\/7 - 31802*f\/7 - 52\/7 = 0. What is f?\nAnswer: -13, -2\/1223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -0.5 (c) -5 (d) 1595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -100?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -15*l - 12*l + 43*l - 15*l. Let u(n) = -n + 1. Let g(i) be the second derivative of 25*i**2\/2 + 3*i. Let z(v) = -g(v) + 25*u(v). Determine x(z(t)).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let o(l) = 2*l + 2. Let i(r) = -o(r) - t(r). Let y(x) = 5*x - 8. Let v(a) = 2*i(a) - y(a). Differentiate v(b) wrt b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1513\/534 - 1*3)\/(2\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -v - 7, -2*r - 70 = -7*r - 2*v. Let c(y) = -3*y - r*y**2 + 2 + 13*y**2 + 4*y - y**3 + 1. Calculate c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/11 (c) -4\/5 (d) -5 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.13 (b) -0.1 (c) -5\/4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/8*(343\/2205)\/(28\/8).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/(6\/9). Suppose -9 = s*c - i, -2*c + 3*i + 15 = -3*c. Is (-1924)\/c - 5\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1\/6)\/(379\/247866)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31935257.\nAnswer: 19, 1680803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 5*b + 0*b + (-2*b + 1 - 1)*(31 - 9 + 5))*(-7*b + 5*b - 19*b).\nAnswer: 1239*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 11. Suppose 0 = -2*k - 3*k + s. What is the first derivative of 5*u**2 + 0 - 3*u**2 - k wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 2. Let k(z) = -z + 1. Give 3*k(j) - n(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -56\/9, 3\/7, -0.1, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/13 + 60790224*v**2\/13 - 2*v\/13 - 60790224\/13 = 0.\nAnswer: -30395112, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0917355 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 10*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/8*(-8)\/3. Suppose -t = 10*s - 0*s. Is (70 - (1 + s))\/(43 + -42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -2*n - 0, -2*n = -2. Put o, 0.2, -1, 2\/7 in increasing order.\nAnswer: -1, 0.2, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y + 0*y + 6*y. Let c(z) = -3*z**2. What is c(n(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 211*1\/(0 + -1). Let r = u - -108. Let c = -38 - r. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2*f*f*f)\/f)\/(f\/(f\/f**(-2))))**(-15\/4) assuming f is positive.\nAnswer: f**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) - (sqrt(343) + 0))*6)*-3)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-147)*((-95)\/(-342))\/((-10)\/21)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*u - 83*u - 30*u + 36*u.\nAnswer: -520*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -17*c**2 + 130*c - 613. Determine u(4).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-24) - 0\/34\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-23*u - 23*u + 48*u + 25).\nAnswer: -2*u - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4361 and 343.\nAnswer: 30527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1766\/9 + -196. Let d = -3889\/33 - -90\/11. Let v = d - -110. Are n and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(4)*-4 + sqrt(4) - sqrt(4))\/(sqrt(2) - sqrt(242)*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 34*x**2 + 37. Let u(i) = 38 - 2 + 24*i**2 - 18*i**2 + 28*i**2. Let w(m) = 2*b(m) - 3*u(m). Differentiate w(y) wrt y.\nAnswer: -68*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 3250. Round s to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.11. Let k = -0.1095 - r. Round k to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 457 in 7\/6, 54, 0.1, -0.5, 1, -2?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 7*u + 5. Give o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*y**2 - 10 + 105*y + 99*y - y**3.\nAnswer: -y**3 + 2*y**2 + 204*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 2*i**2 + i**5 + (-i - 2 + 2)*(-i**4 - 3*i**4 + 5*i**4) + i**5 - 4*i**5 + i**5.\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20050 - 3?\nAnswer: 20043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -971618*a**5\/9 - 8327756*a**4 - 156974642*a**3 + 139791600*a**2 - 30420000*a = 0?\nAnswer: -39, 0, 300\/697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)\/sqrt(6) + -3 + sqrt(3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -7*o**3 - 33*o**2\/2 - 4*o - 428. Find the second derivative of b(z) wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 (base 6) in base 15?\nAnswer: 16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*y**4 + 194*y**3 - 496*y**2 + 288*y.\nAnswer: -2*y*(y - 4)**2*(11*y - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -18\/5 - 1\/10*n**2 - 6\/5*n = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 13. Let i = 47 - a. Suppose r = -2*r + i. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 33 = -5*w - 3, 2*z + 5*w = 6. Is 6833 - (48\/z - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5509, -6626, -7743, -8860?\nAnswer: -9977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqa when four letters picked without replacement from gbgbqgqaggggbq.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 16, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*s - 22 = 10, 3*v - 3*s - 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*u**3 - 181*u**3 - 122*u**3 - 197*u**3.\nAnswer: -373*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352.7 + 3049?\nAnswer: 4401.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*((-4 + 1 + 4)*(-l + 2*l + l) + 6*l - 4*l + 0*l + 21 - 5*l - 21 + 4*l - 23*l + 13*l + (0 + 0 - l)*(-2 + 0 + 0)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(54)\/sqrt(2) - (-1*sqrt(675) + sqrt(675)))\/(sqrt(45)\/(sqrt(35)\/sqrt(7)) - (sqrt(9) - -3*sqrt(576))) + 2.\nAnswer: -5*sqrt(3)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -48*r - 593 + 3100. What is the remainder when 320 is divided by r?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232.92 + -224. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1187 from 0.\nAnswer: -0.1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221224 - -2?\nAnswer: 221231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282*d = -1286*d + 180. Suppose 5*r - 10*r + d = -4*q, 0 = -r - 2*q - 5. Solve 0 = 2*s - 8, 4 = 3*l - 4*s + r*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -1080, -1621, -2162, -2703?\nAnswer: -3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.14 (b) -3\/5 (c) -4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1576 and -9\/32.\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {t: 1, s: 3, a: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -351.13?\nAnswer: 348.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 131\/227527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(15)\/sqrt(27) - ((1*sqrt(405))**2 + sqrt(405))) + (-2*sqrt(20))\/sqrt(4)*2)*4.\nAnswer: -4860 - 152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6113264 - 0.5.\nAnswer: 6113263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19)\/(-1) - (-6 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30773488, 30773485, 30773482, 30773479, 30773476, 30773473?\nAnswer: 30773470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(450))\/((sqrt(42) - (sqrt(42) + sqrt(210)\/sqrt(5)))\/sqrt(7)).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**23\/((q\/q**1)\/q)**(-2\/27) assuming q is positive.\nAnswer: q**(619\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 22. Let r be -3 + j + (-3)\/(-1). Find the first derivative of 19 + 4*t**4 - 6 - t**4 - 5*t**r wrt t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 28. Is 15 not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-6)\/48*10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - (-208)\/(-56)) + 58\/126 and 16\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-41)*(-38)\/38?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40735353, -40735364, -40735375?\nAnswer: -40735386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/24*((-352)\/30)\/22.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100663645 to the nearest integer?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74282\/15 - 4952. What is the second biggest value in g, -9, 9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -448290.8213 + 448621.9. Let b = s + -0.0787. Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - 49*h + 2. Let g(u) = -6*u**2 - 47*u + 2. What is 6*g(p) - 5*n(p)?\nAnswer: -p**2 - 37*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-5))\/9*(-8)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2570 or -2777?\nAnswer: -2777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0872? (a) 3\/10 (b) -0.5 (c) 0.02 (d) -11 (e) 1 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3158514 and 113\/15714.\nAnswer: 3158514","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -12 - 8) + (-1 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 39*r = 5*y - 39038, -r = 5*y - 39054. Does 71 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -10*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4444, 8654, 12844, 17014, 21164, 25294?\n\"Answer: -10*n**2 + 4240*n + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/31448 and -113\/16463028?\nAnswer: 32926056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 3\/7, -239, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 107, 291, 569, 953, 1455, 2087, 2861?\n\"Answer: 2*s**3 + 29*s**2 + s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.003 (b) -2\/3 (c) 144 (d) -3 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 33*z + 2. Let g be l(0). What is the second derivative of g*o**3 + o**2 + 243*o - 116*o + 59*o wrt o?\nAnswer: 12*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 46 = p + p, 0 = 3*p - 2*j - 64. Suppose 2*o - 2*q = 26, -q - 1 - 2 = 0. What is the least common multiple of -1 + p - (-2 + 5) and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**36\/i**(1\/9)*((i*i\/(i**(-4\/17)*i))\/i)\/i**(3\/5) assuming i is positive.\nAnswer: i**(27176\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -12. Suppose t + 2*t + i = 0. What is the units digit of ((-130)\/5)\/t + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0.1, 48\/5, -2, 0.5 in descending order.\nAnswer: 48\/5, 0.5, 0.1, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -5 - 20\/(-8)*-2. Suppose 5*v + 4*m = 129, m - 3*m = -d*v + 48. Solve -2*r + 4*r = -w + 7, -v = -5*r - 5*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 11. Let h be 7 + -9 + (4 - (-4)\/1). What is the greatest common divisor of h and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Is r\/(-10) - (-807)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 8*v - 11. Let k(x) = -2*x**2 - 7*x - 3. Let w(z) = -z**2 - 7*z - 4. Let h(j) = 2*k(j) - 3*w(j). Let f be h(6). List the prime factors of s(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975568175.\nAnswer: 3, 5, 7, 1254329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2)\/((-66)\/165).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 306, 2601, 8858, 21057, 41178, 71201?\n\"Answer: 330*k**3 + k**2 - 18*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341153279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101122221210212 (base 3) to base 16\nAnswer: -567bfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21292371 and 840411.\nAnswer: 5877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**8\/6720 + i**7\/420 - i**6\/720 - i**4\/4 - 7*i. Let b(q) be the third derivative of d(q). What is the tens digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1432)\/(-716))\/((-3)\/2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + -1 + sqrt(684)*1)*-6)**2.\nAnswer: 432*sqrt(19) + 24657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6244572*w*y**3 - w*y - 45*w + 13*y - 3740 wrt y.\nAnswer: 18733716*w*y**2 - w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -10373\nAnswer: -10373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**2 - 70*v - 53*v - 4*v**3 + 3*v**3 + 13. Let q(y) = -5*y**2 + 61*y - 6. Let x(f) = -6*c(f) - 13*q(f). Find the second derivative of x(j) wrt j.\nAnswer: 36*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -70.47. Let f = d + -0.03. What is the closest to 1 in f, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21 - 4779)\/(4\/9250). Round l to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxjrjgwwwwgwgwjwwx. Give prob of sequence wjr.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:21 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p - 942 - 1183 = -8 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose 4*v - 2 - 6 = 4*k, 0 = -z*v + 2. What is the common denominator of -67\/22 and k + -1 + 207\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) -1\/12 (c) 1.1535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*10\/(-80))\/(((-12)\/32)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 358, 361?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 13078?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*t**3 - 740*t**2\/3 - 620*t\/3 + 160\/3.\nAnswer: -5*(t + 2)**2*(39*t - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111 divided by 3\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.998 and 42.\nAnswer: 797.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13.63124 times 3\nAnswer: 40.89372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 + 196. Let w be z\/12*32\/(-12). Let q(g) = g**3 - 3*g**2 - g + 4. Let n(o) = o**3 - 2*o**2 - o + 3. Give w*q(r) - 6*n(r).\nAnswer: -2*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 236.3.\nAnswer: 708.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-5 - 3) + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669242 is divided by 222615?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 4. Let r = 3 - c. Suppose 4*j + 2*n - 42 = 0, -4*n = r*j - 5*j - 14. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -29. Let s = 15 + l. Solve -o = -s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 72*z + 614. Is 74 a factor of m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 5*n**2 + 4*n + 4. Let m be t(-4). Solve 5*c = -3*l + c - 17, m*l - 2*c + 8 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 429765 - 429707.9934. Let t = c + -57. Round t to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 26*q - 126*q**2 + 9*q + 299*q**2 - 172*q**2 - 63*q**3 in the form o + t*q**3 + j*q**4 + u*q**2 + l*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82524469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3.2\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3962*u**2 + 2*u - 45 - 43 - 3961*u**2. Give z(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110527*p - 1110517*p + 27 = u, -u = -5*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5 = 2*n, -7*n - 2*n + 7*b - 6*b = -14*b + 27 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 4*a + a**2 - 4*a + (-122*a**4 - 31*a**4 + 28*a**4)*(-19*a - 18*a + 6*a).\nAnswer: 3874*a**5 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9886 - -9891. Let s(p) be the third derivative of -1\/60*p**c + 0 + 5\/24*p**4 - 33*p**2 + p**3 + 0*p. Suppose s(w) = 0. Calculate w.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - 66\/(-8). What is the remainder when 101 is divided by 40\/(-2)*(-5 + 26\/c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -7*m**3\/5 - 586*m**2\/5 + 763*m\/5 - 34 = 0.\nAnswer: -85, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7035 or -7034?\nAnswer: -7034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/5)\/(3\/12*-4))\/(36\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 31*a + 27. Let h be y(-11). Suppose -h = 8*x - 29. Solve -2*g - x*n - 3 - 4 = 0, 0 = n + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -0.2, 3, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2. Let n(o) be the third derivative of -8*o**2 + 1\/60*o**5 + 0*o**3 + 0*o**4 + 0*o + 0. Give n(f(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 506?\nAnswer: -4fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 9. Suppose 297 = -x + 12*x. Let z(w) = 19*w + x - 8 - 8*w. Calculate 9*a(y) + 4*z(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 209 or 2?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 73*v - 21. Let f(o) = 73*o - 18. What is 7*f(n) - 6*z(n)?\nAnswer: 73*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1726\/15 - -577\/5. Sort x, 3\/4, -19 in decreasing order.\nAnswer: 3\/4, x, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000123249 rounded to six dps?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631263.3 rounded to the nearest 1000?\nAnswer: -2631000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 924 - 908. Let n(j) = 13*j - 207. Let k be n(p). Let u(l) = l + 1. Let v be u(2). Solve v*c + k = 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79364378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 10*n + 14. Is b(6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152406 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 0*w - 105 = -3*w, -47 + 309 + 183 = -31*d - 4*w for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 810\/60*(-32)\/16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert af8 (base 16) to base 15.\nAnswer: c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 3, 4\/9, -2\/5, 0.46, -0.5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 162, 231, 302, 375, 450, 527?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 5*h + 8. Let i be l(9). Let g = i + -103. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -73.6. Let x = 1361\/910 - -2\/455. Which is the third biggest value? (a) 1 (b) x (c) -2\/207 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 12*n - 1. Suppose t - 4*w + 9 = 0, 2*t + 7 = 4*w - 11. Is d(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1, -0.001, 0?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/15)\/(-4))\/((-2)\/(-3))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65242483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.71 + 3.77. Let i = -0.06 + d. Let t = i - 3.24. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*v + 24, 353*v + 5*r = 360*v - 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-54810)\/(-2745) + 1954\/61?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*f + 222*f + 53*f + 51*f + 38070 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*((d**(6\/5)*d)\/d)\/d)\/(d\/d**(1\/25)*d\/(d**(-1\/28)\/d)) assuming d is positive.\nAnswer: d**(11343\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1853676 and -19\/129.\nAnswer: 79708068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (58 - 162)) + -47.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-15)*z**(3\/5)*z)\/(z**(2\/11)*z**6) assuming z is positive.\nAnswer: z**(-967\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -250, -257, -266, -277?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -273182 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-3)*(-168)\/(-8). Let j be (1 + 0)\/(1\/7). Calculate the highest common factor of j and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 + 480*s - 38400.\nAnswer: -3*(s - 160)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*y = 10, -906*y + 905*y = 3. Put -16, -3, b, -1 in decreasing order.\nAnswer: b, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 5) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, -223, 0.421?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 5*j + 2. Let r be z(-5). Let s(w) = 4*w**3 + 2*w**2 - 3*w + 2. Let l be s(1). Factor 82*d - 80 + 38*d - 28*d**2 + l*d**3 - 17*d**r.\nAnswer: 5*(d - 4)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 10:33 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(2\/3*(-15)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*s + 259*s - 536*s.\nAnswer: 120*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4\/27, 1.99577 in descending order.\nAnswer: 4, 1.99577, 4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-16 + 35 - 89)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 45*o**2 + 4*o - 2. Let k(g) = -2*g**2 - 2*g + 1. Calculate d(y) + 2*k(y).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k - 11262 = -58*k - 9700 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -139*b. Let t(n) = 5700*n. Calculate 165*c(g) + 4*t(g).\nAnswer: -135*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00821 + 0.09179. What is the biggest value in 23, 4, u, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/48)\/(112\/(-48) + 3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1015 + 746. Let i = l + 268.999998847. Round i to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 13, r: 3}. What is prob of sequence wr?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 5, y: 3}. Give prob of picking 2 z.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/3)\/n*n**14)**15 assuming n is positive.\nAnswer: n**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1680 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2 (c) -0.4 (d) 128 (e) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23049)\/(-8077))\/((-4)\/(-28)) - 20.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2638\/11 - -240. Let u = 51 - 51. Suppose 0 = -5*o - 4*m, -3*o - o + 2*m = u. Which is the closest to o? (a) 3 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-358 + 126 + 99 + 37958*j + 133) in the form m + p*j and give p.\nAnswer: -37958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91550081 by 6.\nAnswer: 91550081\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256*o**6 + 27*o**5 + 4*o**4 - 2066*o**2 + 2*o - 7 wrt o.\nAnswer: 30720*o**3 + 1620*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 100\/(-16) - 3\/12. Factor -3*c**2 - 3 - 7 + c - c**3 + 11 + v*c**2.\nAnswer: -(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.34, 0.1, -2\/77?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3\/14*d**4 + 3\/35*d**5 + 1\/14*d**6 + 0*d**2 + 12 + 0*d**3 + 0*d. Find m, given that o(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 78*l + 66*l - 27, -5*l - 25 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*l - 130 - 284 - 158 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 6:43 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 228277200 rounded to the nearest one hundred thousand?\nAnswer: 228300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 860925.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -137, 0.2, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2299) + sqrt(2299) + -1 + sqrt(2299)))**2.\nAnswer: -2376*sqrt(19) + 744912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 26*y - 8. Let h be j(6). Let i = 77 + h. Calculate the remainder when 43 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72812 divided by 436\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 3*u - 9*u + 0*u as d + a*u and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -322565 (base 12) to base 2\nAnswer: -11000001011010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187602 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.06828mg?\nAnswer: 0.00906828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -975, -1950, -2925?\n\"Answer: -975*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.085 (b) 3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-4 - -15) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6267 or 18800\/3?\nAnswer: 18800\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7913568 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjs. Give prob of picking 1 y and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 0.05. Let i = u - -4.06. Let k = -2.964017 + -0.035983. Sort k, i, -0.1, -0.9.\nAnswer: k, -0.9, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 39*i - 119*i + 80*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -308205?\nAnswer: -308167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.6578, 4, 2\/13, -1, 0.014?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -4*a**3\/9 + 26*a**2\/3 - 16*a + 28. Factor j(l).\nAnswer: -4*(l - 12)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -114. Solve 2*f = w - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9008 and 0.224.\nAnswer: -2017.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 30192*m + 680. Let c(o) = -133*o - 3. What is 680*c(x) + 3*h(x)?\nAnswer: 136*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - 2 - 5 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*b*n**2 + b*n + 2*b - 6 wrt n?\nAnswer: -80*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3776.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1507 - 4517\/3. Let y be (1\/(-11))\/(2\/(-4)). Let n = 2\/69 + 65\/138. Which is the smallest value? (a) y (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121 + 325. Calculate the highest common divisor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -1048\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003873 rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 238210283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 444 = 514 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/21)))\/(a\/((a**(-8)\/a)\/a)*a) assuming a is positive.\nAnswer: a**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mskmkmzzkn. What is prob of sequence kn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1013 divide 23419596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2)*(-3*a**2 + 6*a**2 - 2*a**2) + (-a + 3*a - 4*a)*(-3 - a + 3) in the form i*a**2 + o*a + m and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -52. Find the second derivative of w*g - 8*g**4 - 7*g**4 - 23*g wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 0*b - 8*b - 14)*(6 - 2 - 1) to v*b + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10015.\nAnswer: 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 - v**3 + 5*v**2\/2 + 9*v. Let k be y(2). Let q be 123\/6 - k\/(-6). What is the highest common factor of 50 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 26 = -22. Let j be (368\/(-20) + 4)\/((-6)\/20). Calculate the highest common divisor of j and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*g - g. Differentiate 4 + 7*s**3 + 0*s**3 - g*s**3 with respect to s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/63*6*(-14)\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*28\/105*(-72)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -172, -724, -1868, -3802?\nAnswer: -6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(-6\/17))**(-47)*s**(-6)\/((s*s*s**(2\/7))\/s*s)*(s**(-1\/2))**11 assuming s is positive.\nAnswer: s**(-4409\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 1221.\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-5)*(-15)\/(-6). Put q, 5, -4, -9 in descending order.\nAnswer: 5, q, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -21*h**3 + 3*h**2 - 2*h - 2. Let m be c(3). What is the common denominator of ((-444)\/(-32))\/(-3) + 0 and (1\/(-8))\/(3\/m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 5015.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -98. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 1.6. Let a be -2 + (-4)\/(-6) + 1. What is the closest to -1 in a, x, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/12 - (11\/(-76) + 48\/(-456))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(19)*1) + -1 + 5.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*d - 480 = -170*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62226 + -62228. Let z = -0.1 + 0.12. Sort z, -1, q.\nAnswer: q, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1921*v**2 + 3*v + 15. Let c(h) = -5764*h**2 - 8*h - 40. Calculate 3*c(y) + 8*x(y).\nAnswer: -1924*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - (-5*-1*sqrt(1500) - sqrt(1500))) + sqrt(1500) - (sqrt(1500) + -2*sqrt(1500)*5))\/(sqrt(132)\/sqrt(176) + (sqrt(72)*3)\/sqrt(6)).\nAnswer: 140*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24580 is divided by 120?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 - -4.26. Let h = -67.25 + 67. Let l = -5.25 - h. Sort t, -1, l in decreasing order.\nAnswer: t, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 9976.26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7074, -4, 0 in ascending order.\nAnswer: -7074, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t - 117. Let x be u(27). Suppose 42*s - x = 39*s. What is the highest common divisor of s and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 3)*(2 - 0)\/4. Is k\/((-8)\/6)*2274\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 56. Let j(c) = 57*c**3 - 3*c**2 + c + 4. Is 25 a factor of j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:04 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2 + 2*n + 3 - 12 + 1065*n**2 in the form c*n**2 + w + b*n and give c.\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/24 + m**5\/12 - 5*m**4\/24 + m**3\/6 - 55*m**2 + 2*m - 29. Let a(p) = -p**2 + p. Calculate 5*a(q) + j(q).\nAnswer: 5*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -86. Let k = -91 - f. What is the second biggest value in k, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (sqrt(162) - (-3 + sqrt(162)))**2 + -3 - sqrt(162).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445470 and 43896?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.059 + 0.03. Let u = d + 0.029. What is the biggest value in 7, -1\/12, -1, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(7\/8))\/(b*b**(1\/2))*(b*b*b**(-5\/9))\/(b*b\/b**(11\/3)) assuming b is positive.\nAnswer: b**(125\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -17*f**2 + 33146928 - 24*f**2 + 8981*f + 5274*f + 5689*f + 44*f**2 = 0?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 6*o - 5. Let p be w(9). Suppose r + 3*k - 37 = 0, -2*r + 5*r - 4*k - 46 = 0. Calculate the highest common factor of r and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -32. Suppose -7*g = -14*g + l. Suppose 5*i - 2 = 3*i - 5*w, i = -4*w + g. Sort -2, -5, i in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let b be (0 - 0)*2\/6. Let c(i) = -i - 5*i - i + b*i. What is t(c(j))?\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.289 + 4.339. Let s = 0.3 - 0.15. Let w = z - s. Which is smaller: w or 89?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-7)*(-19 + 1). Suppose -n - w = -5*n. Let u be (-4)\/n + (-6)\/(-27). Solve u = y - 1 + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 56001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, 0, -33532, -5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 10*i**2 - 21*i - 12. Give g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0*u - 35 = -5*u, 10 = -2*f + 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 81 = 18. Suppose -11 = -b*y + 61. Let q(z) = -z**2 + 3*z + 6. Let a be q(5). Sort 5, a, y in descending order.\nAnswer: y, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 492 + -247. Factor -70*r**2 - u*r + 5*r**3 + 7*r**3 - 17*r**3.\nAnswer: -5*r*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:16 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 7614856?\nAnswer: 540654776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*(15 - 1 - 17420\/1273)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1791\/(-199)*(-4)\/(-126)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -18*p - 285. Let d = 170 - p. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/(-675) + (-4)\/18. Let u = 4\/27 + l. Let t = -0.03 - 1.97. What is the biggest value in t, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 7997037 = 2229427 - 51612564. What is d rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 20. Calculate the remainder when 33 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174*z - 300*z + 37*z)*(-14*z - 13*z + 5 + 28*z).\nAnswer: -89*z**2 - 445*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5145 rounded to 2 dps?\nAnswer: -3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.02.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 20. Let g be m(0). What are the prime factors of ((-48)\/g)\/((-4)\/50)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*s - 27 = 0, s + 94 = 3*o + 108. Put 4, -30, o in decreasing order.\nAnswer: 4, o, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 2*h + 2*h + 0*h. Let f(w) = -216*w**2. What is b(f(j))?\nAnswer: -864*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 765169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2582 (base 9) to base 12.\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28216 - 18586 = 741*n - 11563 + 1811 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63022368 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18535b (base 12) in base 5?\nAnswer: -102030423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 15, -4*y = -t - 23. Let m be (-12 - (16 - -5))*2\/t. Solve c + 2*i = 0, -3*c - m = -i - 4*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29464504?\nAnswer: 2, 157, 23459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnnn when four letters picked without replacement from {c: 1, g: 1, o: 1, n: 3, s: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*f + 41*f - 37*f + (0 - 2 + 1)*(-f + 2*f + 0*f) + 5*f - f - 5*f - f + 5*f - 3*f)*(f + 0*f + 2*f).\nAnswer: -594*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i + 1. Let x be d(1). Suppose -7*t + 5 = -x*t - 5*u, 2*u = t. Suppose 2*f - 40 = -t*f. Solve -4*r = h - 8, -5*r - 3*h + f = -0*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 - 7*u - 2. Suppose 1 = -12*y + 7*y + 11. Let h(p) = 19 - 8 + 4*p - 10 + 2*p**2. Give y*r(b) + 5*h(b).\nAnswer: 2*b**2 + 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4807 - 12865 = n, 12 = -3*n. List the prime factors of r.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 3 (c) 0.407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 3. Let q(r) be the third derivative of r**4\/24 + 3*r**2. Let c(y) = n(y) + 3*q(y). Differentiate c(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719)*-1)\/(sqrt(3) + (-3*(sqrt(3) - -1*sqrt(3)) - sqrt(3))).\nAnswer: 11*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 10. Let j(i) = i + 2. Let n be j(t). Let a = 4 + n. What is the least common multiple of a and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7288487233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let j = 335.6 + -336. Which is the closest to s? (a) 4 (b) j (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7799358 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8527893 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775512911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 853.034 - 853. Let m = 0.214 - q. Round m to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -755.94 - -756. Which is the nearest to 1\/4? (a) n (b) -2\/19 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -2 - (6 + (-6)\/2). What is the second smallest value in p, 0.2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 2*m**2 + 4*m - 1. Let f be w(3). Suppose -36 - 9 = -3*q - 3*l, f*l - 8 = 0. Let n = q - -44. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16719 + 92698. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 102 = c - 2*c, 4*j - 216 = 5*c. Let x = -3 + 3. Suppose k + 5*f - 32 = x, -f - 7 - j = -5*k. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2610966 by -6.\nAnswer: 435161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 143*x + 55. Let p(c) = -8*c - 3. Let z be 738\/328*(-8)\/(-6). Give z*g(t) + 55*p(t).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -45*x - 335. What are the prime factors of f(-31)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Let u(x) be the third derivative of x**5\/60 + x**4\/24 + x**3\/3 + x**2. List the prime factors of u(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-18)\/(-4)))\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 2. Let j = 0 + 5. Suppose -4*i - 2*d - 3 = -5*i, 6 = 2*i - j*d. Determine g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116.36 + 138.3546. Let n = -51 - -73. Let g = n - j. Round g to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-177)\/(-9))\/((-2)\/(-27)). Let k = p - 191. What is the remainder when k is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1.28 (c) -1\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256.400576714 and 12.29?\nAnswer: 244.110576714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:01 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l*w**4 + 6*l*w**3 + 1011*l*w**2 + 6*l*w + 24*w**4 - 3202*w**3 + 5*w**2 - 12*w wrt w?\nAnswer: -48*l*w + 36*l + 576*w - 19212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-14))\/((-1659)\/(-19355)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13689 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-3*(-2*sqrt(1600))\/(sqrt(605) + (sqrt(605) - (sqrt(605) - (sqrt(605) - sqrt(605)*1)) - sqrt(605)) + sqrt(5)))**2*6.\nAnswer: -207357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191585, 191494, 191401, 191306, 191209, 191110?\nAnswer: 191009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -74*t - 493*t + 575*t + 3 + 3*t**2. Let i(j) = -1 + 6 - 4. Let r(p) = 2*i(p) + y(p). Let o(l) = 2*l**2 + 5*l + 3. Determine -8*o(a) + 5*r(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqqpyq. Give prob of picking 1 p and 1 q.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjssjccssscsjjsj. What is prob of sequence jc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) - 1\/6. Let y = -78 + 232\/3. Suppose u + 8 = 4*g - 13, 4*u = -5*g. Put g, y, i in decreasing order.\nAnswer: g, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98651 and 516341?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 129, 2, -2.\nAnswer: -12, -2, 2, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 5*h - 6 = 0, -5*m = 3*h - 24. Let y = -2 - -12. Let a = y - 8. Sort m, a, 0.\nAnswer: 0, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 10*i + 475. Let b be c(-18). Let y(n) be the third derivative of n**4\/12 + 31*n**3\/6 - n**2. What is the tens digit of y(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495666 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/199 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963775 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -4a63466?\nAnswer: 4a63468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6))**2*-6 + (sqrt(7) + 3)**2 + -4.\nAnswer: -30 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 6, x: 3, r: 4}. Give prob of picking 2 s.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3 - 15*g**2\/2 + g - 7. Let y be u(5). Put -1, 5, y, 0 in decreasing order.\nAnswer: 5, y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531 is divided by 168?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -4.9. Let t = 0.45 - -0.05. Put i, -5, t in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-114\nAnswer: -114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289 or 579\/2?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.942955 centuries?\nAnswer: 294.2955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 992665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1563794731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*t + 75 + 293, -3*q = 0. Let a = -89 + t. Suppose 4*w + i - 148 = -0*w, a*w + 3*i = 111. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6, -5*l + 3*m + 15 = 8*m. What is the greatest common factor of l and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - -1ca588?\nAnswer: 1ca555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*m - 4, m = -p + 3*p - 8. Let z(h) = 2*h + 255 - 124 - 132. Let x be z(4). Solve 0*k = 3*q + k - 5, m = 3*q + 2*k - x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4.282 (b) 1\/10 (c) -0.11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/2*110\/32 and 13 + ((-19230)\/88)\/15?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2226, 2219, 2208, 2193?\n\"Answer: -2*t**2 - t + 2229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 - (-10)\/50. Suppose -2*v = -l*v - 8. Suppose v*i = i + 27. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2 + 3*i - 6. Calculate s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 5.434?\nAnswer: 0.70642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2. Let b(x) be the first derivative of -x**3\/3 + 2. What is d(b(g))?\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -55. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184 (base 12) to base 8\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*o**4 - 1527015*o**3 + 1167435810*o**2 - 2363697700*o + 69860280 = 0 for o.\nAnswer: 3\/100, 2, 1526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.55 - -18. Let v = w - -7.66. Let y = -0.11 + v. Which is the closest to 1? (a) 2\/9 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose 0 = r*w + 3*l - 15, -5*w = 2*l - 6*l - 15. Solve 0*j + 5*j = w*h - 25, 2*j + 5*h - 21 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 16*k**2 + 54*k - 69. Let t be r(12). Let c(i) = i + 4. Let o = 5 + -7. Let n(q) = q + 4. Let z(u) = o*n(u) + 3*c(u). Determine z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x - 3*b = 58, 3*b = -3*x + 54. Let i = -14 + x. Suppose -6 + i = -4*j. Solve 2 - j = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 7*d - 4*d - 10. Suppose 45 = -3*r + 5*w + 46, w + 5 = -r. Let p(l) = -l + 2. Calculate r*t(i) - 16*p(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/8)\/i)\/i**(1\/2))\/(i**(-1\/3)*i)**(1\/36) assuming i is positive.\nAnswer: i**(-355\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/30*35\/21\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v = 154*v - 8052. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + i - 6*i**2)*(2*i**2 + 2*i**2 + 9*i**2).\nAnswer: -78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:26 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 47 - 5*y - 21.\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2 + -1)*-16. Suppose 5*a - n = a. Is 15 a factor of (6 - a)\/(4\/34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 3*v + 3*v + (-v**2 + 9 - 9 + 1 + 9*v)*(-9*v**2 - 39 + 39).\nAnswer: 8*v**4 - 81*v**3 - 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433909037 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/12)\/((-15)\/(-15)*-1)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.201 + 0.2. Let x = o - -0.00099892. What is x rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 5. Let z be d(-6). Let m = z - 13. What is the common denominator of 25\/32 and m\/(-8)*(-246)\/(-21)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*w - 2*w - 55, 0 = -i - 3*w - 9. Let v(n) = -n**2 - 979*n + 8894. Let y be v(9). Solve -5*u = -4*s - 8 - 0, y*s = 3*u - i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -122. Suppose 0 = -84*c + q*c + 780. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 35, 105, 261, 539, 975, 1605?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 - 11*w**2 + 0*w**2 + 11*w**2 - 5 as s*w**3 + u + x*w**2 + p*w and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + 87. Suppose -t - 7*p = -3*p - 38, -4*p + o = 5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u - 6*u + 0*u)*(u + 0*u + 0*u) - 62 + 19 + 9 + 2*u**2 + u to the form f*u**2 + m + s*u and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(108) - sqrt(108))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -23*t**2 + 16*t + 16. Let z(b) = -10*b**2 + 7*b + 7. Let c(d) = -7*m(d) + 16*z(d). Let f(p) = 492*p. Calculate c(f(a)).\nAnswer: 242064*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4854 times 7?\nAnswer: -33978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246176865 and 693?\nAnswer: 1723238055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*f = -73*f - 126 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74004 - 667672\/9. Let p = x + 182. Let y = 3.4 + 0.6. Sort p, -4, y in increasing order.\nAnswer: -4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -812.51 - -818. Let i = -3.51 - z. Which is the third biggest value? (a) -0.2 (b) -6 (c) i (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 151, 314, 607, 1066, 1727, 2626?\nAnswer: 3799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 2.2, 9, 0.3, -4\/5, -1.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73627540?\nAnswer: 2, 5, 7, 367, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*s + 4*t, -3*s + 6*t = 11*t + 16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 6. Let v(o) = o**2 - 4*o + 3. Let r be v(2). Let z be r\/(-13)*(-6)\/n. Is 0 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*z - 9 = -6*p, -p + 261*z - 1689 + 1684 = 264*z for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 289 and 21250?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3318 by -95.\nAnswer: 3318\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-5)\/(-25)*(-5)\/(-3)). Let f be (3 + -4)*11\/(j + 2). Sort 0, f, 3 in ascending order.\nAnswer: 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + t - 1. Let j(g) = 26*g**2 - 3*g + 3. Calculate -12*a(f) - 4*j(f).\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391 - 390. Suppose 0 = -3*r + 9, x - 4*r + s = -r. Let n(m) = -m**3 + 9*m**2 - 7*m + 7. Calculate n(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 10 - 14517*x + 7256*x + 7262*x. Give k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 927. Let w(m) = -4*m + 931. What is 6*t(q) + 5*w(q)?\nAnswer: -2*q - 907","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252 - -435. Let l be y\/27 - (-1 - 28\/(-36)). Solve 2*r + 12 = -2*a, 2*r + 2*a = r - l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/130 - 17\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -3*t - t**2 + 0 + 1\/20*t**5 - 1\/6*t**3 - 1\/12*t**4. Suppose 23 = 4*i - 3*h, i + 4*h + 16 = -i. Give w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - 28*z - 14. Calculate h(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302030 is divided by 771.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -420 - -1?\nAnswer: -41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311022021 (base 4) to base 5.\nAnswer: 23431422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25736778*g**3 + 5475*g**2 - 133*g - 5 wrt g.\nAnswer: -154420668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 19. Let j be n(-6). Let k be (j\/(-14))\/(3\/(-18)). What is the second biggest value in k, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - w**2 + 1. Let c be d(-1). Let n be 1 + (-2 - -4505) + -4. Suppose f - n = -c*f. What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 857, 1276, 1709, 2162, 2641, 3152, 3701?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1 (c) -12 (d) -301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2013*u**2\/5 + 1014543*u\/5 - 4536\/5 = 0 for u.\nAnswer: -504, 3\/671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + sqrt(112))*5 + (-1 + -2 + sqrt(112) - sqrt(112)) + -4)**2.\nAnswer: -10720*sqrt(7) + 49289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1744266 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**2 - 9*w + 9. Suppose -16 = -3*r + r. Suppose 0*p = -3*p + 9. Let n(m) = -p + 0 - 11 - 14*m**2 + 18*m - 4*m. Calculate r*c(j) + 5*n(j).\nAnswer: 2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 7*d + 85 = 0, 0 = -697*d + 701*d - 44 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99091113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 - 8*u**2\/5 - 2*u\/5 + 8\/5.\nAnswer: 2*(u - 4)*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -10*l. Suppose l = 3*j - 3*n - n - 5, 2*j = -2*n + 8. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 127*o**2 - 71*o - 223. Is 2 a factor of l(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.08 - -155.92. Let m = -156.999998755 + j. What is m rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -39008*r**2 + 368. Let s(n) = 743*n**2 - 7. Let k(j) = -368*s(j) - 7*w(j). Let f(g) = g**2. Calculate f(k(m)).\nAnswer: 135424*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.3 + 6.3000008. What is a rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 - 4*v**2 - 2*v + 7. Let b be l(-3). Suppose -3*y + r = -4*r - b, -163 = -4*y - 5*r. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -4*v + 16*v - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 112*r + 10038. Let n be g(-88). Solve -10*k + 36*k = -n for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (63\/7)\/(2\/6). Let a = p + -22. Solve -a*l = -2*m - 7, -2*m + 14 = 3*m - 2*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -26. Suppose -165 = -4*l + 5*s + 330, -g*l - 2*s + 234 = 0. What is the first derivative of 4 + 10*t**4 + l*t**3 - 120*t**3 wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19979644 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = 19*w + 3*i - 1, 0 = -4*w + 8*i + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 62*c**2 + 40*c - 315. Let u be s(7). Is u less than or equal to 3004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 327 and ((3\/12)\/((-8)\/96))\/(5\/(-490)).\nAnswer: 32046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(4 + 45\/(-10)). Suppose 4*i - 238 - 486 = l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15202 = k, k - 2*q + 4*q = 15181. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 158407341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106303*f**2*m + f*m + 238*f - 2*m + 519 wrt f.\nAnswer: 212606*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.783 + -0.37. Let l = j - 0.089. Let r = -0.024 + l. Which is the third biggest value? (a) 1 (b) r (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1412056423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + 2 + 2*g - 5 + 2. Let k(b) = 3*b + 1. Suppose 3*z + 54 = 3*j + 6*z, -5*z = -5*j + 130. Let p = 19 - j. What is p*k(l) - 4*r(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 77 + 0*b + b - 77.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 741236, 741103, 740970, 740837?\n\"Answer: -133*g + 741369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234942077?\nAnswer: 17, 131467181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-1)\/(-29)*2). Let o = j + 28. Is o greater than 9\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8, x - 4*o + 9 = -1. Let m be ((-4)\/x - 1)*-3. Factor 6*i**3 + i**m + i - 4*i + 0*i**5 - 4*i**5.\nAnswer: -3*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 + d - 1. Let q be k(1). Suppose -q*y + 5*x = -178, 0 = -4*y + 4*x + 249 - 25. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 982.7094nm?\nAnswer: 0.00009827094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 24. Let j(b) = -3*b - 7. What is the units digit of j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) - (sqrt(112) - (-3*sqrt(112)*3)**2) - -1*(sqrt(112) - sqrt(112)*-3)**2 - 4*2*(sqrt(112) + -2)*-6.\nAnswer: 192*sqrt(7) + 10768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and -18.55.\nAnswer: -34.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 9) to base 15\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r. Suppose -b - 21 = -3*d - r*b, -b = d - 3. Suppose d*x = 4*x. Put x, 4, 5 in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**3 - 7850*k**2 + 21020*k - 10520.\nAnswer: -5*(k - 2)*(k + 526)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532422675?\nAnswer: 5, 7, 19, 641, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = p - 3*j - 1, 0 = 4*j. Let g be (-2 + p)\/(2\/1). Let u = 61 + -62. Sort u, -5, g in ascending order.\nAnswer: -5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3567 divided by 3.\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -61?\nAnswer: 5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 1. Let g be (4 - 5) + -16 + -1. Let r = -17 - g. Give b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155.80451 hours in weeks?\nAnswer: 6.87978875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 7522.\nAnswer: 7521.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7)*i\/i**(-1))\/(i**(3\/7)\/i**(-3)) assuming i is positive.\nAnswer: i**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-3 + 0)) + 1 + -16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 2b5?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 13*l - 11. Let g be p(14). Let j(z) = z**2 - z. Let t(b) = 2*b**2 + 3*b - 4. Let a(k) = -3*j(k) + t(k). Give a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - 8*u - 27. Let v be t(-3). What is the third derivative of 211*i + v*i**4 + 28*i**2 - 211*i - 2*i**2 wrt i?\nAnswer: 576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 times 3?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*(-133)\/420 + -5. Let y = -49\/6 - i. Which is greater: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95182 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 2}. What is prob of picking 1 g and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f. Suppose 4*w + f*w - 34 = -3*o, 2*w - 4*o = 6. What is the units digit of (1 + (-15)\/21)*w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = 3*y - 7*y, 20 = y - 4*o. Let d(r) = -r**2 + 5. Let q be d(y). Sort 1, q, -5.\nAnswer: -5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9758 divided by 5.\nAnswer: -9758\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 8*y - 10*y + 15, -3*n - 20 = -y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 4*w**3 - 4*w**3 - 4*w**3 - 2*w**3 + 3*w**3 + (-2*w**3 + 2*w**3 - w**3)*(4 - 2 - 1) + (0 + 0 + w**2)*(12*w - 18 + 18).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 8*j + 3. Suppose -159 = -120*z - 879. Give b(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2219 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012382323 rounded to six dps?\nAnswer: 0.001238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11164, 11166, 11168, 11170?\nAnswer: 11172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.42 times 1\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r - 9. Let i be k(6). What is the common denominator of ((-198)\/(-8))\/(i\/6) and -17\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.05 (c) -2\/11 (d) 0 (e) 0.2 (f) 3\/23 (g) -36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3954 - 3954.0009453. What is c rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*n - 11, 0 = c - 2*n + 7 - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7)\/p)**41*p\/p**(1\/10)*p**(2\/3)*(p\/(p*p**0))**25\/((p\/(p\/(p\/(p\/((p\/(p*p**(1\/3)*p*p))\/p))*p)*p))\/p)**(-23\/3) assuming p is positive.\nAnswer: p**(-27323\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388374 minus 0.23?\nAnswer: 2388373.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -696?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*h + 55. Let c be ((-4)\/(-10))\/(3\/30). Suppose 2*s = c*s - h. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15.8 (b) -0.3 (c) 1 (d) 133\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4744 - 34164. Round r to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1262*d*j**5*r + 2*d*j**3 - d*j**2 - 25*d*j*r - 6*d*j wrt j?\nAnswer: -75720*d*j**2*r + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-11 - (-387)\/43).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + f - 1. Suppose -55*q + 1 = -56*q. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 251711435?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066173?\nAnswer: 3, 277, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 - 219. What are the prime factors of (r - -4)*2 + 540?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36677783 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2501811.43\nAnswer: -7505434.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148015 by 5.\nAnswer: 29603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/(-12))\/((-10)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -135448, -270431, -405414, -540397, -675380?\n\"Answer: -134983*i - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2971450 and 41875?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -12589 and -12765 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 41*v - 4*v**2 + 41*v - 1.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*j**3 + 1457*j**3 + 71*j**3 - 768*j**3.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5199?\nAnswer: 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 21418 - 17393 + 53*b - 593*b.\nAnswer: -5*(b - 7)*(b + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 4*w**2 + w - 1. Let z = -124 + 120. Give o(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 20. What is h(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5897615555 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - x, 5*z - 20 = 3*x + 2*x. Let t = 12 + -25. Let r = 29 + t. Solve -r + z = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 10) in base 3?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*h**3 + 48*h**2 + 4*h**2 + 372*h**3 - 744*h**3.\nAnswer: -4*h**3 + 52*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 575558696*x\/5 - 41408476567652552\/5.\nAnswer: -2*(x - 143889674)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164 - (109 + -11 + -52)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r + 11*r + 284 = 39. Let w(a) = a**3 + 5*a**2 + 4*a - 8. Give w(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/(sqrt(9) + 2*sqrt(9)) - sqrt(21))*-5 - sqrt(168)\/(sqrt(648)*-2 - sqrt(648)))\/((sqrt(385)\/(-3*sqrt(11)))\/((sqrt(55)*-2)\/sqrt(11))).\nAnswer: 182*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28176876 and 85540.\nAnswer: 140884380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + g - 6*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1589 + 1858 - 28*g + 26*g - 18 - g**2 to l*g**2 + s*g + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400176 = 89*k + 74076. List the prime factors of k.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14003 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 15. Let p be d(7). Let q = 36 - p. Suppose -289 = -7*z + 201. Calculate the greatest common factor of q and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.069 and -0.2.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:19 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11509?\nAnswer: 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1 + 30. Let w = s + -11. Let z be (3 + (-44)\/w)\/(-2). What is the nearest to -1 in -1, -5, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n + 0*n)*(-1 + 0 + 4)*((-3 + 3 - n)*(-3 - 3*n + 3) + 0*n - 2*n**2 + 0*n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/79 greater than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0795 rounded to 3 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 203, 836, 1899, 3392, 5315, 7668?\n\"Answer: 215*j**2 - 12*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/(3\/6). Suppose -y*o + 8 + 8 = 0. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 7 = -67. What is the lowest common multiple of r and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -z + 11, -2*p - 2*z - 1 = -11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/((-6)\/48))\/((-2)\/11). Is t greater than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.178 - 583.178. Sort -1, r, 1\/7, 2 in descending order.\nAnswer: 2, 1\/7, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oogaaagaohgnall. What is prob of picking 1 h, 1 n, 1 l, and 1 g?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*q + 157, 3*n - 339 - 99 = 2*q. Let f(g) = -75 - 73 - 6*g + n. Let t(z) = -4*z**2. What is f(t(m))?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v - 31. Let d be w(13). Suppose -m = b - 97 + 9, m + d = b. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 times -6\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + ((sqrt(192)*1 + -3)**2 - 2*(-1 + sqrt(192) + sqrt(192))) + 3 + -4.\nAnswer: -80*sqrt(3) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {y: 1, g: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 527388 times 2.78?\nAnswer: 1466138.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 50 + 5. Let h(o) = o**3 + 4*o**2 + 2*o + 2. Let v be h(-3). Let p = v + -7. Sort 1, n, p in descending order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.69842598 - -0.1.\nAnswer: -0.59842598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 12, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 72*w + 2451. Let q be c(-34). What is the fourth smallest value in q, 2, 0, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 2*d**2 + 3*d**2 + (-2*d - 1 + 1)*(d - 4*d + 2*d))*(d - 4 + 4)*(d + 4*d - 20*d).\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 166, 357, 634, 1003, 1470, 2041?\n\"Answer: a**3 + 34*a**2 + 2*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - -233262?\nAnswer: 233346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14645.78187927 plus -3?\nAnswer: -14648.78187927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*t + 106*t - 10*t - 3*t**2 in the form m*t + v*t**2 + w and give m.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/5, 113, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9386.2 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/57318 and 71\/6620229.\nAnswer: 13240458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkuujyuryyrajuyyj. Give prob of picking 2 j.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**7\/210 - s**6\/360 + s**3\/3 - 2. Let b(u) be the third derivative of a(u). What is the third derivative of b(d) wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - 4*b + 5*b + (3 - 6 + 5)*(11*b - 15*b + 25*b).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 82748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869057 is divided by 668?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1978, 4007, 6036, 8065, 10094?\nAnswer: 12123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 16 in increasing order.\nAnswer: 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5 - 20, -3*i = -3*f + 33. What is the greatest common factor of f and 7252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 56 = -6. Suppose -o*x + 206 = -39. Let n be (-1)\/3 + x\/3. Solve q = t, 2*t = 5*t + 5*q - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285*j**2\/8 - 291*j\/8 + 3\/4.\nAnswer: 3*(j - 1)*(95*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 135 = -30*s. Let z(n) = n**2 + n. What is the remainder when 97 is divided by z(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, 275, 573, 875, 1181, 1491?\n\"Answer: 2*s**2 + 288*s - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -297530433 divided by -909879?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*l + 36. Let p be (8\/5)\/(2*(-3)\/l). Solve -28 = p*j + 4*c, 4*j - c = 3 - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(60\/(-57) - -1). Let b = n + 28. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/1735 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18585.008359 - 18585. Round x to four dps.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z + 1. Let i be f(-1). Let l be -3 - (-6)\/(i\/(-3)). What are the prime factors of (l - 2)\/(360\/182 + -2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/44 + -2 - 7\/(-14).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/100*5 - (-3)\/(-12). Which is the third smallest value? (a) r (b) 3 (c) 0 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2723\/5 - (-51)\/(-85). Suppose -b = -2*j + 272. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let u(f) = 1606142*f. Determine w(u(s)).\nAnswer: 4818426*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -716\/27?\nAnswer: -716\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9. Let u(w) = -w**2 - 1. Let j(t) = 6*t**2 + 5. Let k(q) = l*j(q) + 5*u(q). Let o(n) = -4*n. Determine k(o(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16359135841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303069957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(-3)\/21?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.777177 litres to millilitres.\nAnswer: 3777.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 3*o**2 - 3*o - 3. Let s(p) = p**2 - 11*p - 1 + 10*p + 0. Suppose 0*l + l - 3 = 0. Determine l*s(v) - u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + -11100100011000100010110?\nAnswer: -11100100011000011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4 - 4)\/(-2). Suppose -l*g - g = 5*p - 2, -5*g = -4*p + 18. Factor 40 - 5*q**3 + 30*q**p - 6*q**3 - 60*q + 6*q**3.\nAnswer: -5*(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 9*r + 1. Let p(m) = -m**3 - 4*m**2 - 4*m - 3. What is the remainder when x(4) is divided by p(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (2 + (4 - -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 24436 - 24436.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1. Let o(y) = 0*y + 0*y - y + 3. Suppose -4*i + 1 = -3*i. Let b(m) = i*o(m) - 4*u(m). Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from {w: 1, a: 1, h: 1, b: 8, q: 7, f: 2}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -9.34 (c) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-35)\/3) - (-110)\/(-175).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 5)*(-1764*x**4 - 4564*x**4 + 3103*x**4) as s*x**3 + k + u*x**2 + l*x + p*x**4 and give p.\nAnswer: -3225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 4*y)*(-2*y + 0*y + y) + (0 + 4 + 4)*(-3*y**2 + 4*y**2 - 6*y**2).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -778, -807, -836?\n\"Answer: -29*y - 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 4, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 38. Let v be (2\/(-3))\/(9\/((-54)\/b)). Find g, given that -v*g**3 - 2\/3*g + 0 + g**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062948.\nAnswer: 2, 3, 283, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m + 5. Let w = 185 - 126. Let d = w - 63. Let q be 3\/(-5) - (258\/(-30) - d). What is z(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 77. Let f(a) be the third derivative of 1\/12*a**4 + 14*a**2 + 0*a**3 + 0 + 0*a. Determine x(f(i)).\nAnswer: 8*i**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -154*k**2 + 122*k**2 + 56 - 56. Let i(t) = -63*t. Calculate i(p(w)).\nAnswer: 2016*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102839309*-0.09.\nAnswer: -9255537.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1381.2 + 1553. Let a = 102 - q. What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5980\/16 + (-3)\/(-12). Suppose -149*w + l = -147*w. Suppose -490 = -5*f - 5*c, 2*f - 2*c = -c + w. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313.5 * -11338.\nAnswer: -3554463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540 = -22*h - 38*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75139679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = 5*w - 12, w = 5*k - 15. Let b be (34\/(-3))\/((-8)\/12). Find the second derivative of w*s + 0*s**5 + 2*s**5 + b*s wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t - 3*t)*(0*t - 2*t + t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000277502 rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j**2 - 6*j + 8. Suppose 518 = 15*t - 772. What is the remainder when t is divided by l(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/11)*b**(-7\/6))\/(b*b**(-2\/9))**(-31) assuming b is positive.\nAnswer: b**(4561\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 203.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 838375062 divided by 6.\nAnswer: 139729177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-4)\/2 + 4. Let h be 90 - (w + (0 - 1)). Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 10*u + 23. Let i be w(-7). Factor -67*j + 20*j**4 - 220*j**i - 69*j + 181*j + 155*j**3.\nAnswer: 5*j*(j - 1)*(j + 9)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 + 8*y + 40. Give m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from drurddfdddrddrdddud.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 + 10*n - 14. Calculate d(9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 14*m**2 + 17*m - 7. Determine k(13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4302 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*d**3 - 70 - 102*d**3 + 190*d**3 + 70.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19440*x**5 - x**3 + 4407*x**2 + 96493760*x?\nAnswer: 388800*x**3 - 6*x + 8814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2195, 2194, 2193, 2192, 2191?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.8 (b) 0.02 (c) -5 (d) 1\/24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288833 is divided by 144407?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 20, -2*q - 4*r - r - 157 = 0. What is the units digit of 1\/((-201)\/q + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = 3*o - 47, 4*p + 42 = -2*o. Let u be -3 + 6 + (3 - p). Solve x + 5 = -n, n + 2*n = -4*x - u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 27*k + 1. Let r be u(14). Solve -91*o = -96*o + r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 + 1)*(-2)\/(-7). Let g be 1\/(-3 - -2 - i). Let s = 14 + -10. Which is the third smallest value? (a) g (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125286995.\nAnswer: 5, 37, 677227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -10*r + 112. Suppose 8*j - r = 4*j. What is the least common multiple of j and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 58*z**2 - 4*z**2 + 13*z**2.\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54766 divided by 5\nAnswer: -54766\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 10 = -10. Let s = 7 + w. Is ((-1)\/s)\/((-1)\/633) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -33, -21, 17, 93, 219, 407, 669?\n\"Answer: 2*n**3 - 5*n**2 - n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11. Let d = 3662 - 40314\/11. Let t = 394\/143 + d. Does c = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/9, -1, -17, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*(-2023272)\/58140.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + i + 2. Let v be f(2). Suppose 5*a - 1994 + 234 = 0. Suppose 21 + 43 = k - 4*j, a = 5*k - 4*j. What is the highest common factor of k and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1155\/38 in -2, 5, 14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.288, 0.5, 4\/11, 4\/5?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/4*1600\/(-1800)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -700?\nAnswer: 23\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -207791 (base 10) in base 9?\nAnswer: -346028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*g**2 - 104\/3*g + 0.\nAnswer: 2*g*(g - 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:00 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -53, 13 in ascending order.\nAnswer: -53, 1, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 24*g - 12. What is the hundreds digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 0*t - 1 + 192*t**3 - 189*t**3 as j*t**3 + a + w*t**2 + m*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/8 > 1.5194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r - 126. Let u be l(-16). Solve 0 = u*y - 4*d + 8, 6 = -2*d + 4*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 2*d**2 - 2. Suppose -5*t - 3*f = 2*f - 5, -5*t - 2*f + 5 = 0. Let p be 1\/t*(0 - 0). Suppose r - 2*r + 2 = p. Determine o(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/73645 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541357 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 15*j + 184*j**3 - 6*j**2 + 27*j - 74*j**3 - 14*j to the form r*j**2 + u + x*j**4 + z*j**3 + i*j and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = 12, -4*r + 458 = -2*s. What are the prime factors of r + -10 - 4*1?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1788448 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41366*u**4 - 2408*u**3 + 220621819*u**2 wrt u.\nAnswer: 992784*u - 14448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*f + 5. Let s(v) be the second derivative of -v**5\/20 + v**3\/6 + v**2\/2 - v. What is the remainder when s(-3) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -n, -3*y + 5 = 3*n + 2. Let z be (n + -5 - -4) + 0. Is 2\/13 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 52. Give d(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 396 = -4*v, -465 = 5*v - 0*z - 5*z. Let p = v + 95. What is the closest to p in -1\/41, 5\/4, 2?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-24))**(-1) assuming c is positive.\nAnswer: c**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 22. Let k = 23 - j. Let r = k + 27. Solve 4*c - 5*p - 7 = 0, r*c = -2*p - 0 + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 11*f**2 - f + 3. Let q(c) = -6188*c**3 + 99*c**2 + 9*c - 5287. Let p(h) = 9*l(h) + q(h). Differentiate p(r) with respect to r.\nAnswer: -18510*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55 + 1081*n - 1942 + 1344*n - 993 + 174*n with respect to n.\nAnswer: 2599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - -3.8. Let i = x - 5.4. What is the closest to -1\/3 in 1\/3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*d - 100. Let p = d + -20. Sort 1, p, -3 in descending order.\nAnswer: 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -12203266?\nAnswer: -12203259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 503 and 503 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*a - 1249 - 1421 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14945\/42)\/(-35) + 15\/(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-10)*(-24)\/(-18))\/(2\/((-160)\/(-12)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 3. Let g be r(-5). Suppose -2*x - 55 = -g*w, -3*w - 2*x = 3*x - 20. Let z = 6 + w. What is the highest common factor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 82*b**2 - 386*b + 1148. Give p(3).\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2455 or -2409?\nAnswer: -2409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1321.5878 + 1320. Let s = 8 - 6.4. Let v = s + m. Round v to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 5*o - 2. Let p(y) = -y**3 + 16*y**2 - 13*y + 11. Calculate the remainder when p(15) is divided by k(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 10. Calculate the remainder when 28 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ininiiiiniii?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -135 (c) -75 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 549533701?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593937674.\nAnswer: 2, 11, 26997167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/6 + q**3\/6 - q**2 + 117*q - 230. Let d(h) be the first derivative of l(h). Determine d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14)\/i)\/(i**(-5\/2)\/i) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*p - 6, 4 + 0 = 3*p - 2*b. Suppose p = -3*z + 2 + 43. What is the greatest common factor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 5*w + 9*w - 131*w**3 + 249*w**3 - 4*w - 124*w**3.\nAnswer: -6*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3\/2 - 5313*d**2\/2 + 361539*d - 12819384 = 0.\nAnswer: 72, 73, 1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.59 and 130775662268.\nAnswer: 130775662265.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - y**2)*(0*y**2 + 9*y**2 + 4*y**2) + 155*y + 2*y**3 - 155*y + 2*y**2 + 9*y**4.\nAnswer: -4*y**4 + 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 7*m - 7. Suppose 2*p + 0*p + 2*f + 44 = 0, -2*p = -f + 32. Let s be -2 - (-5)\/((-35)\/(-56)). Let x be (-40)\/s - p\/27. Determine r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - (-9)\/(-2). Let z = r - -3. Let p = z + 2. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 1117316\nAnswer: 17877056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109937514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713777089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 254?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c + 16*c + 21. Suppose -6 = 4*t + 2*z, -t = 4*z - 8*z + 6. Sort t, c, 14.\nAnswer: t, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 1 (c) 15 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -2*(-3)\/(-2). Let d(a) = 3 + 29*a - 27*a - n. Let z be d(0). Solve 3*h - h = z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52534 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: Which is smaller: 16136 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2168130 and 16044162.\nAnswer: 80220810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-15)*-3 + -5*5. Calculate the lowest common multiple of 20 and (-3)\/(r\/2) + 144\/81.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 - (4 + (-4 - (23 + -8)) - -12)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 2418 + 9201. Let -6*v + 36*v + 0*v**2 + y - 997 - 2*v**2 = 0. Calculate v.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2675*f + 12042 wrt f.\nAnswer: -2675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -0.1, -0.5 in ascending order.\nAnswer: -1, -0.5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 28, 3\/2, -2\/221, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 183369, 160, 3 in decreasing order.\nAnswer: 183369, 160, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 267*d - 7845. Does 50 divide t(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2543\/11 - -230. Find the common denominator of v and 36\/44*(-1 - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 10 + 53. Suppose 7*q - 2*q = 0. Let o be 0 + 0 + 5 - q. Solve 5*j + o = -4*r + 2*r, -3*j = 2*r + v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/9360 and -7\/3120.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*p = -99, 0 = -5*z + p + 2*p + 165. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2. Let q(m) be the second derivative of 0*m**3 + 24*m + 83\/6*m**4 + 0 + 0*m**2. Calculate q(n(d)).\nAnswer: 664*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -832609 (base 14) to base 10\nAnswer: -4424513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.4, -0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333790?\nAnswer: 2, 5, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:14 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 31. Let l(v) = v**2 - 10*v + 3. Let k be l(13). Calculate the remainder when p is divided by 600\/k + 1 + (-18)\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2666, 2681, 2708, 2753, 2822?\nAnswer: 2921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -16, -5, 28, 89, 184, 319?\n\"Answer: f**3 + 2*f**2 - 18*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0865 - -0.4865. What is the closest to 13 in 1, 3, k, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*n + 193*n + 4. Solve 3 = 4*d - n*c + 11, -5*c = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-24)*(-3305424)\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1688, 1625, 1520, 1373, 1184, 953?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 + i**5\/12 - 7*i**4\/24 + i**3 - 38*i**2 + i. Calculate q(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 65 + 77 + 103 - 13*j - 374 + 56.\nAnswer: -13*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 356\/3 and -0.24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24749685.\nAnswer: 3, 5, 19, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -997, -2069, -3153, -4255, -5381, -6537?\nAnswer: -7729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529045213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13212)\/8*6\/(-9).\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/(-6) - 0 - 799*-4.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-12)\/(-9))\/(-1*(-18)\/1242)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 144, 215, 284, 351?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, 105, 132, 159, 186, 213?\n\"Answer: 27*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590 times -73?\nAnswer: 189070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-2 - 14 - 56\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 - 442 + 442 - 35 + 5*r**2 + 35 + 2*r**2 + 4*r**2 - 5*r**2 + (-r**2 + 5*r**2 - 2*r**2)*(3 + 0 - 2) + 2*r**2 + 0*r**2 + 0*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from rlcllrllllwlll?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51771644189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/105*(-3)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 9 - 17)*(-5*r - 2*r + 17*r) - 4 + 4 + r)*(-2 + 0 + 42)*(-1 + 0 + 2).\nAnswer: -360*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 14 + 2 - 2 + 2 + 2 + (2 - 4 + 1)*(0 + 1 + 1))*(-3*f + 3*f + f) as r + y*f and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 c, and 1 h when four letters picked without replacement from {b: 2, h: 6, c: 10}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 2*s - 47*s**2 - 3*s + 1.\nAnswer: -47*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*q - 14 - 1, 0 = -5*n - 5*q - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 292 = -8*f, 9484*f - 9483*f - 36 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**4\/v)\/v)\/(v\/(v*v**0)))**(-6\/7)*(v**(-1\/3)\/((v**(1\/10)\/v)\/v))\/((v*v**5*v)\/v**5) assuming v is positive.\nAnswer: v**(-811\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + (0 - (-9 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from {h: 6, l: 4, s: 2, v: 1, t: 2, j: 2}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28654 (base 9) to base 2\nAnswer: 100110000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994.779ug in milligrams?\nAnswer: 2.994779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/((w*w\/(w\/w**(-2\/5)*w)*w)\/w))\/w)*w**(5\/3))\/(w**5*w*((w**8*w)\/w*w)\/w))\/((w*w*w**(-1\/4)\/w*w*w**0)\/(w**(1\/4)\/w)**19) assuming w is positive.\nAnswer: w**(-431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5717287 or 0?\nAnswer: 2\/5717287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1 - q + 0 + 2*q. Let p(r) = -r**3 - 6*r**2 - 5*r + 1. Let i be p(-5). Let c be o(i). Solve -4*v + 2*v - 2 = c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)*x)**(-3\/11)*(x\/(x**(-4\/3)\/x))\/x*x*(x\/(x*x**(-5)))\/x)\/((x**8\/(x*x**4\/x*x))\/(((x\/(x\/x**(2\/3)))\/x)\/(x*x**(5\/2)))) assuming x is positive.\nAnswer: x**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 34*q**2 + 33*q + 70. Let f be c(35). Solve f = 164*g - 159*g + 35 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31047.55um in millimeters?\nAnswer: 31.04755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 - 41*q + 93. Calculate x(10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/154 and 55\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2493? (a) 1 (b) -1\/6 (c) -2 (d) -0.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s - 2. Suppose b - 5*w = -18, -2*b - 5*w + 6 = b. Let d be g(b). Let j = d + -18. Solve j = m - 2*f, -m + 4*f = -6*m - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.1 - -42. Let i = 7 - 22. Let j = 12 + i. What is the closest to a in 2, j, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/4646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7284230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 14 + 5)*(z + 2*z - 2*z + (-1 + 3 - 1)*(-45 + 45 - 23*z) - z + 0*z + 0*z).\nAnswer: 414*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401881257 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11469 + -11457. What is the least common multiple of j and 925?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*k + 3 = 6, -2*a + 4*k - 18 = 0. Let g(r) = -r**2 - 9*r - 8. Let b be g(-8). Suppose b = 7*t - 6*t + 9. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u - 1. Let r(y) = -162*y**3 + 4*y + 197. Let o(t) = 3*q(t) + r(t). What is the second derivative of o(x) wrt x?\nAnswer: -990*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 528 = -5*c. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3260, -4, 0, -5, 4 in descending order.\nAnswer: 3260, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 1 + -3 + (20 - (-12 + 31))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 855*m**3 + 11*m**2 + 11*m + 1269. Let o(j) = 171*j**3 + 2*j**2 + 2*j + 254. Let f(v) = 11*o(v) - 2*w(v). What is the first derivative of f(t) wrt t?\nAnswer: 513*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-3)*45\/(-6). Let k = 20 - d. Find the third derivative of -h**k - h**5 - 12*h**5 + 16*h**2 - 12*h**2 wrt h.\nAnswer: -840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.719 + -1.148. Let b = h - -0.129. What is the biggest value in 2\/23, 10, b, 0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6360*i. Let r(g) = 179*g. Give c(r(o)).\nAnswer: 1138440*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 21 + 13)*(p**3 + 0*p**3 - 4*p**3).\nAnswer: -75*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005038593 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:37 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1362)\/171*-3 - ((-4257)\/(-171) + -25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roqzlllloqll. Give prob of sequence qql.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**20)**(2\/83) assuming a is positive.\nAnswer: a**(40\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*4*3.\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(0\/(-2) + 2). Suppose -5*g - 2*w + 6 + 0 = 0, -3*g + 5*w = 15. Let i(m) = -m + g*m + 0 - f. Calculate i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.3282 nanograms in milligrams?\nAnswer: 0.0008953282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 26*p**2 - 266*p + 8. Let n(h) = 17*h**2 - 177*h + 5. What is -5*k(l) + 8*n(l)?\nAnswer: 6*l**2 - 86*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n + 2*j, 8 - 24 = -5*n + j. Solve -o - 2*y = 3*o - 28, -12 = -n*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*t - 3, 2*q = 3*t + 3 - 0. Suppose q*m = -2*m + 8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/21 - (-6)\/(-21). Solve -5*v + v - o = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 375 + -186. Let p = u - 188.6. Which is the closest to p? (a) 1\/3 (b) 3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 8*s + 3. Let v be w(-6). Suppose q - 3*q = 0. Suppose 0 = -3*n + v - q. Solve -n + 2 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154504*p - 154507*p - 3*q = 39, 3*q + 198 = -56*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 2*t**2 - 5864*t + 5867. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166563938 is divided by 1335?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + -3aa?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -0.06. Let m = -2055\/2 - -1081. Let a = -52 + m. What is the second biggest value in a, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8172247 (base 9) in base 4?\nAnswer: -100220000113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 0.1 (c) -7\/15 (d) 0 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 66010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1053 - 0?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44515, 44510, 44503, 44494, 44483, 44470, 44455?\nAnswer: 44438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*n**2 - 129*n**2 + 184*n - 126*n**2 - 129*n**2 + 514*n**2.\nAnswer: -2*n**2 + 184*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -10910*(-3)\/102 + 6\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20355, 81415, 183181, 325653, 508831, 732715, 997305?\nAnswer: 1302601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 14839?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -214, -193, -172, -151?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 9*w + 2 + 30)*(0 - 6 + 5).\nAnswer: 2*w - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3)*-1 - (sqrt(13) - (0 + sqrt(1872))) - (sqrt(91)\/(2*sqrt(7)) + 2).\nAnswer: -2 + 19*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -487\/6. Which is the nearest to 1? (a) s (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4 + 6 = 0, -2*d + 10 = -5*m. Let f(a) = a + 1. Let j be f(3). Suppose 0 = 4*n + 4*k - 12, -n + 2*k - 6 = j*n. Solve n = -4*u - d*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 48460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.08, 31316, -0.02?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11698 is divided by 3115.\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(99) + sqrt(11)))\/(sqrt(45) + sqrt(180)\/sqrt(4)) + (sqrt(44)\/sqrt(2)*2)\/(sqrt(32)*-2).\nAnswer: -5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38176707?\nAnswer: 3, 677, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-1)\/(41315\/5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23295360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.374411?\nAnswer: -0.1123233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2184 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96898427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 2*y**4 + 2*y**4 - y**4 - y**4 + y**4 + (5*y - 3*y - 3*y)*(-2*y**3 + y**3 - 2*y**3) - 12*y + 12*y + 3*y**4.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bmmffmmffffbmffmmfb.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmommmccm. Give prob of sequence cmc.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 399*w**3 + 384*w - 24602897 wrt w?\nAnswer: 1197*w**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -48*4\/6*-1. Let u(g) = g**3 + 9*g**2 + 8*g + 8. Let w be u(-8). Calculate the greatest common divisor of p and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.9 - -12. Let u be 36\/(-24) - (-19)\/10. What is the second smallest value in u, -0.04, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*l - 168. Calculate the remainder when (1 + 5\/4)*8 is divided by (222\/(-42) - (-8)\/l) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655 = -5*t - 5*y - 1630, 4*t = -y + 32 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.89 + 12. Let v = n - 0.01. Which is the nearest to v? (a) -4 (b) 0.3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 14) to base 5.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18)\/(-8)*9984\/234 and 60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/11 (c) 0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4636302 and 0.2?\nAnswer: 927260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 - t**5\/15 + 7*t**4\/24 + t**3 + 2*t**2 + 67*t. Calculate d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 24)*155\/(-62)*2\/10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 - 3*j**2 + 2*j - 2. Let g be z(2). Let n be ((-3)\/(-6))\/((-5)\/g). Let b = -65\/108 + -4\/27. Sort -0.3, n, b in ascending order.\nAnswer: b, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7732 is divided by 3858?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, 55, 4 in descending order.\nAnswer: 55, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 - -73. Suppose -3*l = -2*w + h*w - 15184, -l = -2*w + 7582. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -13*z**4\/24 + 11*z**3\/6 + 2*z**2. Let f(x) = 125 + 6*x - 32 - 29 - 34 - 35. Calculate 3*d(r) + 7*f(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76) - (sqrt(76) + sqrt(76) + 0 + 4)).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**3 - 632*f**2 + 48*f - 3791. Calculate r(79).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehnngjnrreghhgg. Give prob of picking 1 g, 1 n, and 1 e.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**5 - 5*l**4 - 15*l**3 + 24*l**2 - 10*l. Let d(n) = n**5 - n**2. Let r(p) = d(p) - o(p). Factor r(y).\nAnswer: -5*y*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -12. Let d = 9 + -2. What is the remainder when f is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7738312 divided by 1934578?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 20 - 29 + 42 - 5*k to i + n*k and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*g + t + 23, -2*t = -4*g + 28. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.39 - 58. Let z = -0.11 - o. Let p = 1 + -0.5. Put -3, p, z in decreasing order.\nAnswer: p, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.4993 + -1.7.\nAnswer: 29.7993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2 - t. Let d be a(-2). Let h = d + 38. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 3.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5888 = -24*k + 448. Let o = k + -518. Is -255 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861134 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465560245 is divided by 8728?\nAnswer: 8725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 2637656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -3.78\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - d - 16 = 77, p = 4*d + 11. Suppose 0 = 22*x - p*x - 468. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142582?\nAnswer: 2, 11, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 50, 111, 206, 341, 522, 755?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 15*c. Let b(z) = -145*z. What is b(a(s))?\nAnswer: -2175*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4542 (base 7) to base 13.\nAnswer: -999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -49*m**5\/10 - 135*m**2\/2 - 26*m - 4. What is the first derivative of u(n) wrt n?\nAnswer: -294*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 23*d**2 - 4*d - 25 + 17*d**2 to g*d**2 + f*d + u and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9055?\nAnswer: 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/19)\/(t**(-19)\/t) assuming t is positive.\nAnswer: t**(383\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635913, -1271734, -1907433, -2542950, -3178225, -3813198?\nAnswer: -4447809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 14*q + 11. Let l(u) = u**2 + u. What is the remainder when b(-6) is divided by l(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o**2 - 4*o - 2. Let s(j) = 32*j**2 + 17*j + 9. Let g = 939 + -930. Give g*u(k) + 2*s(k).\nAnswer: -8*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7397, -7624, -7829, -8012, -8173?\nAnswer: -8312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - 1. Let m(i) = 63*i**2 - 18*i - 3. Calculate m(n) - 2*r(n).\nAnswer: 49*n**2 - 18*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -1565, -2858, -4765, -7490, -11237, -16210, -22613?\nAnswer: -30650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -560165.791 rounded to the nearest 100?\nAnswer: -560200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = y - 20, -4*z - z + y = -20. Let m be 2\/((-45)\/(-12) + -4). What is the remainder when 17 is divided by m\/(-1) - (z + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 8. Let i = 1.43 - 0.73. What is the third biggest value in -0.3, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -462.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -4.6294.\nAnswer: 0.92588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416309 is divided by 1973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x + 2. List the prime factors of c(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 71*y**4\/3 - 541*y**3\/6 + 184*y**2. What is the first derivative of z(w) wrt w?\nAnswer: 568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u + 23. Let a(p) be the third derivative of p**3\/6 - 11*p**2. Let f(t) = -2*a(t) + o(t). Differentiate f(v) with respect to v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smsswws. What is prob of sequence wsws?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4748518 and 8246?\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 113*x - 874 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 - 3*h - 2. Let y be x(4). Solve 1 = y*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q + 49. Let f(r) = -7*r - 25. Let o(w) = -11*f(w) - 6*s(w). Let h be o(-13). Let j = -2 - h. Solve j*v = -v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 3797.\nAnswer: -19\/3797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/11? (a) -21.1 (b) -2\/3 (c) 5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.26 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 6:30 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.145 and -2.\nAnswer: -2.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 51105114?\nAnswer: -51105105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 229, 9, 0 in decreasing order.\nAnswer: 229, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*k**2 - 303*k**2 + 73*k**2 + 76*k**2.\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*m = -1, -82*i = -75*i + 9*m - 1 - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfvvfmxqx. What is prob of sequence qvxf?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 163*g + 1560 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**2 + 5*r**2 - 5*r**2)*(-6*r - 48*r + 8*r) + 0*r**3 + r**3 - 3*r**3 + (-3 + 3 + r**3)*(1 - 2 - 1) + r**3 + 2*r**3 - 5*r**3.\nAnswer: 454*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -53. Let w be (7 - 6) + (-38)\/(-16) + t. What is the fourth biggest value in -2\/7, -3\/4, w, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 4094101?\nAnswer: 4094101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*j + 25 = -4*k + 158*j, 5*k + 3*j = -59 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.4, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 28 = 3*g. Solve -16 = g*j - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -101. Suppose 3*j + 0*j = -5*b + 71, -2*j = 4*b - n. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112203130 + -11?\nAnswer: 1112203113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541179 and 969318?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.351 + -3.649. Let u = 0.1 + -0.5. Let w = u + 0.5. Which is the nearest to w? (a) y (b) 5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjjpjjjpj. Give prob of sequence jjp.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 16 = 0. Suppose -2*u + 83 + 57 = 0. Suppose 4*j - 3*p - 40 = 0, -4*j + 4*p = -u + 26. Calculate the remainder when j is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddjdjdb. What is prob of sequence jdj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/6*(8 + 21 + 7) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/10*(-20)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*t - o, 3*t + 2*o = 17. Solve -9 + 0 = -t*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42230 (base 5) to base 8\nAnswer: -5377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/2*(-1 + -10). Suppose -3*p = 2*i + 41, -3*i = -5*p - 2*i - s. Let y = p + 19. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*o + 155, o - 45 = -5*r + 122. Suppose 48*f - 74*f = -546. Suppose -f = 4*b - r. Solve 7 = q + 2*j, -b*q - j = -5*j - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -836, -2407, -5024, -8687, -13396, -19151, -25952?\n\"Answer: -523*h**2 - 2*h - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10, -1, -5, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(8\/544). Suppose -5*s + m = -n, -3*m - 36 = -3*s - 0*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/57 and -39\/991667.\nAnswer: 2975001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/26 + (-29)\/(13572\/(-384)). Which is bigger: z or -0.02?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -23. Suppose 3*b = h + 1. Suppose -4*k = -2*x - 2, k - 4*x - x - b = 0. Solve -3*m + k = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -18*z**3 - z + 1. Suppose -9 = -4*v + 5*j, 5*v - 1 = 49*j - 53*j. Calculate p(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = 2*q. Let x = q + -4. Is 7 a factor of (-20)\/(-3) + x\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 26*y**2 - 44*y + 4. Determine n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 24 + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -383\/8 - -48. Let d(z) be the first derivative of 1\/4*z + c*z**4 + 1\/6*z**3 - 3\/8*z**2 - 3\/20*z**5 + 2 + 1\/24*z**6. Determine k, given that d(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586510 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 3*z - 2 + 5 - 8 - z**2. Let m be w(5). Suppose m = 7*i - 745 - 263. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 54 = -0*z. Suppose s - z = -4. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*d = -5875 - 1209 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n + 5. Let r be f(4). Let j = r + 9. What is the units digit of 32\/(-6)*j\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260 - -96. Let f = y - -287. List the prime factors of f.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -597357685 by 5.\nAnswer: -119471537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**2 - 17*b + 28. Let i(c) = 8*c**2 + 9*c - 15. Let j(r) = 9*i(r) + 4*x(r). Determine j(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -21*b + 619416. Suppose 10*r - 16008 = b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4. Let k be g(0). Suppose b + 175 = -k*b. Let p = -22 - b. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*t + 378, 0 = 2*q - 5*t - 531 + 151. Calculate the remainder when 1664 is divided by q.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161\/132 - 5\/44. Let h = -20 - -20. Suppose -12 = 2*y - 5*a + 5, -2*a = -5*y - 11. Sort y, 4, b, h in decreasing order.\nAnswer: 4, h, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*o - 0 - 5, 3*j + 5*o = -5. Suppose -2*m = 5*s + 245, -2*s + 6*s + 4 = j. Is (-229)\/(m\/39 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -10) + -1)\/(5 - -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033440941 to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*b**3*c**3 + 61*b**3*c**2 - 25357*b**3 + 3*b*c + 4 wrt c.\nAnswer: 3192*b**3*c + 122*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 + g - 6. Let r be i(5). Suppose 0 = -w + 2*w - 4. Let h be (-16)\/140 - w\/(-10). Which is the nearest to r? (a) -0.3 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 67?\nAnswer: 61\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/39)\/(51\/4284*-70).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1430235*y - 4290716. Calculate c(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from {m: 1, r: 7, n: 2, z: 3, e: 1, y: 4}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3651775.5 to the nearest one thousand.\nAnswer: 3652000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**6\/30 - 3511*a**5\/20 - 1571*a**3\/3 + 8*a - 25. What is the second derivative of r(z) wrt z?\nAnswer: 12*z**2 - 21066*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/6 - 9*i**2\/2 - 481*i - 3. Calculate q(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 - 9*x**2\/2 - 5*x - 1. Let m = -2828 - -2832. Calculate the remainder when m is divided by s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2329413088 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c + 52*c = 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826747102 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: (5 - 3) + 1 + 1 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -159, -157?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 10*t - 56. Suppose -3*w + 201 + 135 = 0. Let k = -74 + w. Calculate the remainder when k is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 2356220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*l + 2*l**3 - 114*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2 - -6) + -22 + 19. Solve -10 = -l*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-eight thirds of a year?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 28. Calculate the highest common divisor of d and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - y**2 + 3*y + 3. Let p be u(-4). Let d = p + 234. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 39 = 4*b, 0 = s - 3. Let q be (b\/(-6))\/3*-1. Let r = -1026 - -1021. What is the nearest to r in 0.5, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 3\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27866 - 1?\nAnswer: 27865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 4*m**2 + 4*m - 7. Let o be r(4). Solve 7*x = 10*x - o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75793484119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than 46.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278 by -2.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9978252 rounded to one decimal place?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5053*q**6 - 3092*q**2?\nAnswer: 606360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50572 (base 12) to base 10\nAnswer: -104486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.5 - 108.4. Which is the closest to g? (a) -3\/2 (b) -0.1 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/36 and -157\/95844.\nAnswer: 287532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 164.260698 hours?\nAnswer: 0.97774225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415942 divided by 80623?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 5*u**2 - 3*u + 2. Give j(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 4012?\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(10*(-5)\/50*4\/212)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 2. Let x be c(-4). Suppose -3*o = 2*w + 16, -23 = 6*o - x*o + w. Let i(h) = h**2 + 2*h + 1. Determine i(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = 5224*u - 5204*u - 156 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*d - 29, -4*d = -0*d - 2*g - 34. Suppose d*j = 2*j + 8, 5*j - 115 = -5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.59345+5\nAnswer: -21.59345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620 at least 1633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 16}. What is prob of sequence wwgw?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3638 + -4.154. Let d = g - -62.7852. Let x = d + -61. What is x rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2)*0)\/2. Suppose -5*z + 4 + 6 = 0. Suppose 3*s - 16 = -z*w - v*s, 2*w = 2*s + 26. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3 - 2))\/(9 + (5 - 12)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*o**3 + 82*c*o*z**3 - 11*c*o*z + 7*o**3*z**3 + 30*o**2*z**2 wrt z?\nAnswer: 492*c*o + 42*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0656 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5707054 and 39262.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 25 - 42 - 34?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1454, -3250, -5050, -6854, -8662?\nAnswer: -10474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4212\/270)\/((1458\/144)\/(60\/16))?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/13, 0.5, 0.1 in decreasing order.\nAnswer: 0.5, 2\/13, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 - 172320*n**2 - n - 3520153.\nAnswer: 24*n - 344640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 975.8557 centimeters?\nAnswer: 0.009758557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 29*i - 3224. What is u(114)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 19*m**2 + 4*m + 76. Let n be j(-19). Put 3, -4, 1, n, 2 in descending order.\nAnswer: 3, 2, 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1448973 + -2?\nAnswer: 1448971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544138 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/540 and -83\/6300?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 20.4. Let l = -1.4 - g. Let a(o) = o**2 + 6*o + 4. Let f be a(-4). What is the second biggest value in f, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/7)*x*x)\/((x*x**(8\/9))\/x)*x*x**(3\/7)*x*x**(-6) assuming x is positive.\nAnswer: x**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2 + 7*n + 37. Is c(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 - -251. Let x(l) = -3*l**c + 0 - 2 - 2396*l + 0 + 2400*l. Let d(m) = -m**2 + m. What is 4*d(o) - x(o)?\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10 - (-17344)\/(-160))\/(-3*8\/12).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 687 + -609. Let s = 1055 - 749. Calculate the remainder when s is divided by x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 59, 66, 53, 14?\n\"Answer: -x**3 - x**2 + 31*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29774096635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 195. Solve -12*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*g - 11 = 13 - 1, -5*g + 100 = -55*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.03, -1\/5 in increasing order.\nAnswer: -2, -1\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 3471198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/48*((-18)\/(-24))\/((-72)\/128)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 385 = -37*n. Let b(d) = d**3 - 6*d**2 - 11*d + 8. What is b(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85189, -170137, -255077, -340003, -424909, -509789?\n\"Answer: r**3 - 2*r**2 - 84949*r - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5824284*p. Let t(q) = 2*q**2. What is s(t(h))?\nAnswer: 11648568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 5*g**2 + 4*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**7\/14 + t**6\/10 + 3*t**5\/20 - t**4\/4 + 23*t. Factor m(a).\nAnswer: -3*a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 5 + (-6 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 2, g: 1, e: 2, l: 1}. What is prob of sequence gzl?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*j + 18, 0 = -412*j + 408*j + 16*t - 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 723294 and 54608697.\nAnswer: 109217394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1394*h - 2779. Give j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12441.\nAnswer: 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10912 divided by 10912?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + w = 6*w - 12, -10 = -2*m - 3*w. Suppose 38 = 2*o - m*p - 16, -5*o - 4*p = -126. Suppose 39 = 3*x - 5*l, -l = 2*x + 4*l - o. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 5196295?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (5 - (15 + -3 + 12))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 1333 = -4*x + 217 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416555 is divided by 267?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g*g*g*g)\/(g\/(g*g**(-2\/7)))*(g**(1\/6))**(-42) assuming g is positive.\nAnswer: g**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8950534 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-f - 1 + 1)*(10 - 2 - 1)*(-32*f**3 + 8*f**2 + 59*f**3 - 25*f**3).\nAnswer: 28*f**4 + 112*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.4 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (23\/36 + 1544\/(-1737))\/((-1)\/6)*28\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.1. Let p = 0.1 - 0.1. Let o = p - 0.5. What is the closest to 0 in o, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = g - 3*b + 90, 2*g + 3*b = 484. What is the remainder when 674 is divided by g?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + (1 - 1) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 23, -3, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -18, -36, -84, -174?\n\"Answer: -2*g**3 + 3*g**2 + 5*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11\/g*g\/g**(7\/5))\/(((g\/(g\/g**0))\/g)\/(((g*g**(-16)\/g)\/g)\/g)))**(-19) assuming g is positive.\nAnswer: g**(703\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-q - 3*q + 0*q) + 0*q + 3*q - q + q - 1 + 1.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7230 is divided by 226?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -605817*c**4 - 11908 + 2*c**6 - 67*c**3 - 2*c**2 + 302929*c**4 + 302927*c**4 wrt c?\nAnswer: 240*c**3 + 936*c - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1350 (b) -0.5 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 - m**5\/60 + m**4\/24 - m**3\/3 + 2*m**2. Let l be h(-2). Let z = -8 - l. Put -1, 3, z in descending order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 3 + 29 = 5*n + 2 - 79, 17*s + n = 36 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*n + 21*n**3 - 22*n**3 + 2122*n - 706*n - 708*n.\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a + 2*b = -26, 5*b = 3*a - 20. Suppose 30*n - 25*n - a = 0. What is the third derivative of -9*r**n + 2*r**3 + 15*r**2 - 16*r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191921647 to the nearest integer?\nAnswer: 13854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53489658793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3031519000 to the nearest 1000000.\nAnswer: -3032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:50 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -93*o. Let q(z) = 55*z**2 - 40*z. Determine c(q(f)).\nAnswer: -5115*f**2 + 3720*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/29876 and -125\/563376.\nAnswer: 3943632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*h - 3751, 0*h - h = -2*u + 1496. Let f = u - 354. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/1295 - 80\/4218.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(1573)*-1 - (sqrt(208) + -2))**2.\nAnswer: -60*sqrt(13) + 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4.63538, -6 in ascending order.\nAnswer: -6, 0, 4.63538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21306277*k + 55136365.\nAnswer: 21306277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -49989865 + -174838\nAnswer: -50164703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (0 - (-5 + -2)). Let g be 1\/(-6) + t\/(-6). Suppose -2*z + g = 7. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3 + 6\/(-3). Which is greater: 3\/11 or m?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7*z - 3. Which is bigger: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-12)\/80*(-28)\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -1\/10, 1, 723, 12 in increasing order.\nAnswer: -5\/4, -1\/10, 1, 12, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0*d**2 - 12*d + 5\/6*d**3 + 0 + 1\/6*d**4. What is f(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8026*-0.28\nAnswer: -0.784728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*s**2 - 252*s**2 - 264*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-3\/7)*o))**(-15))**47 assuming o is positive.\nAnswer: o**(2820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - t + 2*t)*(-1 - 2 + 1) + t + 2 - 2 + (0 + 4 - 3)*(36 - 2*t - 36) to the form l + i*t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30421, 54340, 78261, 102184, 126109, 150036, 173965?\nAnswer: 197896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from tiwcyctitcwctt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60533 + 60358 = 35*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -29. Let w be (100\/p - -1)*63. What is the common denominator of 139\/12 and (-761)\/w + 3\/7?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))*-1 + (-2 + sqrt(833) - sqrt(17)))**2*-5 + (-4 + (sqrt(272)*1)**2 - (0 + sqrt(272))*6).\nAnswer: -1902 + 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 28*g**2. Let m(c) = 64*c**2 - c + 1. Let h(p) = -15096*p**2 + 238*p - 238. Let q(o) = -4*h(o) - 952*m(o). Calculate q(n(z)).\nAnswer: -426496*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1126, -3 in increasing order.\nAnswer: -5, -3, 2, 1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, 1 j, and 1 v when four letters picked without replacement from vapvcjt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 - 3*c + 7. Let p(o) = 8*o**2 + 16*o + 6. Let l(u) = 4*u**2 + 7*u + 3. Let g(t) = 9*l(t) - 4*p(t). Give -7*g(z) + 3*m(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 1249534?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 13740.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + 14*l**4 + 81*l**4)*(-2 + 2 - 2*l) - 7*l**5 - l**5 + 3*l**5.\nAnswer: -197*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1100000010011111 (base 2) to base 5\nAnswer: 3034221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 4*t**3 + 6*t**3 - 2*t**3 + (t**3 - 3*t**3 + 0*t**3)*(2 - 1 + 1).\nAnswer: 4*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**3 + 10*j**2 - 5*j**2 - 77*j - 5*j**2.\nAnswer: -31*j**3 - 77*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**3*w*w\/(w\/w**(4\/9)) assuming w is positive.\nAnswer: w**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + sqrt(300))*-1.\nAnswer: -20*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(76)*1 + (6*sqrt(76)*-2 - sqrt(76))))\/(-2*(sqrt(256) + 1*sqrt(256)) + sqrt(256)*-2*-5)*2*-2)**2.\nAnswer: 4275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18051b5 (base 12) to base 6\nAnswer: -254505145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 divided by 5?\nAnswer: 504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 (base 10) in base 14?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-1 - -33 - (-1516 - -1676))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 35*q - 1. Let k(g) be the first derivative of -g**2\/2 + 14*g - 1. Let o be k(12). Let c(n) = -2*n + 2*n**o + n + n. Calculate r(c(m)).\nAnswer: 70*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 1034?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 947 - 70. Suppose -p = -5*s - 212. Suppose 96 = 4*i - 4*f, f + 78 = 4*i - 3. What is the highest common divisor of i and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((68530\/476)\/11 + -13).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 13. Suppose -3*x - 2*m = -44, y*x = -5*x - 3*m + 73. Suppose -w + x = -53. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1266454995 divided by -5.\nAnswer: -253290999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810*u**2 + 1655*u**2 - 843*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/((n**(-2\/11)\/n*n*n)\/n)*n)\/n*n)\/n))\/n*n*n**(-2\/19)\/n*(n\/n**1)**(11\/2) assuming n is positive.\nAnswer: n**(-269\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:43 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let g(m) be the third derivative of 0*m**4 + 0*m + 7\/60*m**5 - 16*m**2 + 0*m**3 + 0. Give u(g(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 15. Let i(d) = -c*d - 5 - 5 + 23. Is 19 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 - 2536 = -7*d. List the prime factors of d.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, -0.03, -1, -9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -8 - (-10 + (-34 - -63)) - -54\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:43 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 2856*m - 5277841 = 0.\nAnswer: -4133, 1277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -30*x + 171. Give n(-9).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 31*k + 172. Give c(-7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4399*n - 4399*n + 114*n**3 + (-2*n + 2*n + n**2 + (n**2 + 2*n - 2*n)*(-2 + 5 + 1))*(0*n - 3*n + n).\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 2*i**2 + i - 1. Let a be n(-2). Let r be (a\/(-2))\/(3\/(-12)). Is ((-2)\/r)\/((-1)\/(-201)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 15 = 4*t, -5*t - 15 = -1480*s + 1475*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139104 - 84695. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 11:11 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 7:33 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922788 is divided by 961383?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7456, -7391, -7316, -7225, -7112?\nAnswer: -6971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(4\/(-18)). Let d be 9*((-3 - -3) + -3 - -4). Suppose 4*l - d = 3. Solve -l*s + 9 = -p*o, -3*s + 6 = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 226. Suppose -5*b + 4*y = f - 446, -3*b - y + 176 = 0. Let o = 107 - b. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-126) + -2 + 40161\/2043. Let q = o + 2\/227. Calculate the common denominator of -64\/507 and q.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + -3.93. Let v(b) = -2*b**2 + 6*b + 12. Let f be v(-5). Let t be 110\/f - 20\/(-170). Sort u, -2, t in increasing order.\nAnswer: u, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y)*(-10*y + 9*y + 6*y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2268) + sqrt(2268) + 6*3*sqrt(2268)))**2 + ((4 + 2*sqrt(567) - sqrt(567))*-3)**2.\nAnswer: 648*sqrt(7) + 22685247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndjbbdnbndjdj. Give prob of sequence nd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2035229778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*l - 19, 3*l - 2*s + 4 = 8. Let t = l - -1. Let c be t\/(-2)*(-16)\/(-36). What is the nearest to 2 in 0.2, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4707 - 72?\nAnswer: -5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4845.53915 - -6003.40904. Let q = y + -10849. What is q rounded to three decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(-3) + -2. Let i be (a\/4)\/(2\/(-4)). Suppose -10 = -4*c + 2*p, -c = -2*c + 4*p - i. Is c > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 35*r + 675 = -47*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6685 + 5*(-10 - -6 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -312.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320442210 (base 5) in base 10?\nAnswer: -3296555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2024*j**3*o**2 - 2*j**3 + 2*j**2*o**2 + 585*j**2 + j with respect to o.\nAnswer: -4048*j**3*o + 4*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*m + 164 - 268 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)**(1\/12)\/(g**(-1\/9)*g*g*g)**(-4\/13) assuming g is positive.\nAnswer: g**(23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008) - sqrt(1008) - -3*-1*sqrt(7))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95\/48 - 4441\/48. Let f = s + 94. Which is the biggest value? (a) f (b) 0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158849 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h - 631 = 12044. Let r = 518 + h. What is the third smallest value in r, 2\/9, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 71?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(20)\/sqrt(4)*4.\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 228, 748, 1756, 3414, 5884?\n\"Answer: 27*q**3 + q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/1298)\/((-2)\/(-13)). Let j = 2\/6717082627 + 216404250973291\/69750185998768. Let t = j + f. Find the common denominator of t and -23\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 22. Suppose 3*o = 4*i, -12 + 5 = 2*o - v*i. Solve 3*w - 6 = 0, 3*s - o*w + w = -21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - -53646314?\nAnswer: 53646250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -30*u + 2055. Calculate the greatest common factor of 481 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 25*s - 43. Let w(n) = -6*n**3 - 7*n**2 - n + 1. Let m be w(-2). Let a be c(m). Solve 24 = -a*l - 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwsogys. Give prob of picking 1 f and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -35*j**3 - j**2 - j. Let l be o(-1). Let b = -18 + l. Suppose 4*k - 5*u - b = -1, -20 = -5*u. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/420 - 4\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38682 divided by -98?\nAnswer: -2763\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 286, 165, -36, -317?\n\"Answer: -40*c**2 - c + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/140 + s**4\/12 - 18*s**2\/7 + 13*s - 9. Factor n(x).\nAnswer: (x - 2)*(x + 3)*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1183761 and 185688.\nAnswer: 9470088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/20 + o**4\/2 + 2*o. Let m be i(-6). Let j be (-4)\/8*m\/2. Solve j = d + 5 - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208)*1 + (4 + 1*sqrt(13))**2 + -2).\nAnswer: -36*sqrt(13) - 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7909 + 7911. Solve -4*n = -3*s - 20, 33*s - q*n = 29*s - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/1*240\/(-10). Let l = g + 150. Is -273\/2 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14440932?\nAnswer: 2, 3, 11, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -22*w**3\/5 - 114*w**2\/5 - 4*w = 0.\nAnswer: -5, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 153*l**2 + 167*l + 635. Calculate t(-152).\nAnswer: -1645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279*y - 46*y**3 + 279*y)*(-27 + 25 - 52) - 2*y**3 - 4 + 4 to z*y**2 + m*y**3 + s + f*y and give m.\nAnswer: 2482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5586, 22659, 51108, 90927, 142110, 204651, 278544?\nAnswer: 363783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 33*s**2 + 282*s - 408.\nAnswer: -3*(s - 4)*(s - 2)*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -320121 (base 4) to base 15\nAnswer: -1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*i + 834*i - 4154*i + 828*i + 831*i + 830*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 56*q - 54*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15556949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18107882, -18107886, -18107890, -18107894, -18107898, -18107902?\nAnswer: -18107906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667*p**2 - 840*p**2 - 824*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i**3\/21 + 2734*i**2\/21 + 12956*i\/21 - 2224 = 0. Calculate i.\nAnswer: -7, 12\/5, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3598921249?\nAnswer: 7, 11, 43, 61, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2215\/6 - -135103\/366. Which is the nearest to -1? (a) -1 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:26 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)\/(((b**(-1\/7)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 2*n + 420 = -14*d - 2*n, 0 = 3*d + 5*n + 90 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 f when four letters picked without replacement from {m: 2, e: 1, b: 2, f: 5, i: 2, j: 1}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1173622.\nAnswer: -352086.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*l - 32, -4*l + 21 - 5 = 2*b. Suppose -l*k = -4*k - 8. Find the second derivative of 7*t**5 - 5*t + 16*t + 4*t**5 - k*t**5 wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 2, v: 1, k: 1, f: 2, g: 1}. What is prob of picking 1 v, 1 k, and 1 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 - 5*l - 3. Suppose 0 = 5*k - 0 - 15. Calculate the least common multiple of k and p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 45. Let i = 4 - 4. Let d be g(i). Suppose 0 = -7*o + 2*o + d. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 8)*(-4*m**5 + m**5 - m**5) + 2*m**5 + 2*m**3 - 2*m**3.\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7983\/10 + -1597\/2. Which is the nearest to -0.2? (a) r (b) 6 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14938884 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9886333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-36))\/(-1)*13. Let m = z - 2\/9. Factor 0*k + 1\/2 + m*k**4 + 0*k**3 - k**2.\nAnswer: (k - 1)**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9539 divided by -1\nAnswer: 9539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 26 = 5*b, -3*j + 5 = -3*b - 13. Let g be 3704\/3 - j\/(-3). Suppose 0 = -4*n + g + 113. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1 - 50*f + 94*f - 43*f - f**3. Let g(r) = 7*r**3 - 11*r**2 + 3*r + 19. Let s(h) = g(h) + 6*z(h). Let q be s(10). Are 11\/4 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/639)\/(1\/15) + 28\/(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/7)\/(5\/(-3 - -38)). Put -9, -7, c in ascending order.\nAnswer: -9, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141720041 is divided by 419.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/483 and -119\/6348.\nAnswer: 44436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) 1 (c) -1\/74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 5)*(-2*p + 3*p - 3*p)*(-3 + p + 3) - 2*p**2 - 12*p**2 + 16*p**2 + 8 + (2*p - 3 + 3)*(2*p + 3*p - 4*p).\nAnswer: 14*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + w)*(-6*w**2 + 7*w**2 + 16*w**2 + 1).\nAnswer: -17*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326418*a**2 + 115418*a?\nAnswer: -652836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33902 by -2.\nAnswer: -16951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 290*c + 6. Let m(t) = 579*t + 11. Determine -5*b(x) + 3*m(x).\nAnswer: 287*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.1. Suppose 5*x = -3*s + 43, -3*s - 4*x = -4*s - 14. Suppose -s = 3*q + 3. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 695 - 4456 + 56.\nAnswer: -w**2 - 3705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 18 = -3*n, -3 = -4*p + 2*n + 17. Let h(j) = -12 - 17*j**2 - 27*j - 7 + 2*j**3 + p - j**3. List the prime factors of h(19).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37187 and 2624.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -4*(-28)\/8. Suppose -4*y + 27 - 39 = 0. Sort s, y, -1 in increasing order.\nAnswer: s, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 - -162.999996016. What is o rounded to seven decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1182025+-10912.9341\nAnswer: -1192937.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5748?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 128551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 90*l - 4*l**2 - 90*l.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.179 - 33.179. What is the smallest value in -213, f, -1\/5, -5?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 + -101. Let b(f) = 10 + 591*f**3 + s*f**2 - 590*f**3 - 1 + 4*f + 6*f. What is b(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-14)*84\/(-2 + -1). Suppose -p*m - 7 = -63. Let y = -1 + 1. Solve y = -z - 4*r - 17, m*r + 12 = -3*z + 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 9, 1.\nAnswer: -1, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(19\/(1444\/16)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 - 2*j - 8. Let r be i(-6). Let q(z) = 11*z - 2. What is the remainder when q(5) is divided by (-55)\/(-4) - r\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*v + 2*v. Factor 3\/2*r**3 + 0*r + 0 - v*r**2.\nAnswer: 3*r**2*(r - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89039 and 19906.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2954 = -135*p + 7000 - 2561 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 0*o - 6 + o + o**3 + 6*o**2. Let n(c) = c**3 + 2*c**2 + 3*c. Let g be n(-2). Determine t(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/8, 7, -204, -0.3, 84?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078*z + 454*z + 8 + 625*z.\nAnswer: z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 34*y = 39*y - 65, -3*y - 27 = -3*r. Let k(s) = s**3 - 10*s**2 - 8*s - 14. What is k(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104 + 101 - (2 - -2)) + -4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -18*n - 3. Give s(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*k**5 - 29\/4*k**4 + 1\/2*k + 33\/4*k**3 - 15\/4*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 43. Let u be 24\/84 + g\/(-14). Suppose u*y = 143 + 149. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 3*c + 4. Let m(j) = j + 1. Let t be (4\/10)\/(12\/30). Calculate t*n(u) - 5*m(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*o**3 - 16075719*o**2 + 16075719*o**2.\nAnswer: 58*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5285385 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/3 + 14*r**3\/3 + r**2\/2 - 8*r + 15. What is the second derivative of z(u) wrt u?\nAnswer: -40*u**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 30 = -3*g. Let c be (-4 + (-23 - 17))*4\/8. Let b = g - c. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 130098\/14) + 4\/(-14). Let p = x + -13573. Let v = p + 8067. Round v to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4988)\/(36 + 7) - -138.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2210864*c**2 - c + 11376735.\nAnswer: 4421728*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-15)\/6))\/(48\/120).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 18*b - 6. Let h be r(-9). Let o = h - 72. Suppose 5*g - g - o*q = 297, 2*g = -q + 141. Calculate the greatest common factor of g and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108526.28583 take away 4?\nAnswer: -108530.28583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (768\/(-27))\/8 + 4\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176.52042 + 176.67. What is w rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8573?\nAnswer: 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 159 = -3*y. Let k = 98 - 71. What is the remainder when y is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(684) + sqrt(684))*4)**2 + 5.\nAnswer: 384*sqrt(19) + 43797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 267 (b) 3 (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqbqqbbqbiiqqqqbqb. What is prob of sequence bq?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*o**4 + 32*o**3*r - 2*o*r - 944*r with respect to o.\nAnswer: 76*o**3 + 96*o**2*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 785\/2 - 392. Let o be 58\/170 + 4\/(-10). Is g smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29295 (base 13) in base 2?\nAnswer: -10010111000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 2, 4, 8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/543 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 11*v + 120. What is the smallest common multiple of 2 and n(13)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3, -3*y + 0*y + 2*b - 32 = 0. Let z = y + 14. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -845276, -3381274, -7607940, -13525274, -21133276, -30431946, -41421284?\nAnswer: -54101290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:14 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o + 13. Let p be i(2). Solve -5*l - 3*w + p + 4 = 0, 5*w = 4*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 3*v + 20 = 19*q, 4*q + 2*v - 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8521565 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/((-9)\/1) - -7. Let i(t) = -5*t + 47. Let o be i(k). Suppose -6\/7*x**3 + 0 + 8\/7*x + 0*x**o + 2\/7*x**4 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let j = 630.7 - 601. Let a = 29.2 - j. Sort q, 11, a in decreasing order.\nAnswer: 11, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3564 rounded to two dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001022210 + 12201?\nAnswer: 1001112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2321 != -2335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h = 14*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 4396.\nAnswer: -1318.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100922 is divided by 50374.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17471861 divided by 523.\nAnswer: 33407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2254 and 461426?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -865075, -1730172, -2595269, -3460366, -4325463, -5190560?\nAnswer: -6055657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.964 + -0.036. Which is the nearest to v? (a) 2 (b) -6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 122. Let g = c + -27. What is the remainder when g is divided by 1 + 21 - (2 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*h**3 - 19*a*h**2 - 12*a*h + 24599*h**3 wrt a?\nAnswer: -h**3 - 19*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9927 and -0.5.\nAnswer: -4963.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 356550360239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3 + 3 - y + (1 + 4 - 3)*(-3*y + 5*y - y) - 6*y + 3*y + 5*y.\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345146*k**2 - 258*k**3 + 345146*k**2.\nAnswer: -258*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 653669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q + 2136 = 4*s, 4*q = 0. What is the remainder when s is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(12)\/sqrt(2)) + -4 + sqrt(5) + 1 - (-2 + -4*sqrt(80)))**2.\nAnswer: -36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1100100?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 5*q**2\/2 + 34*q + 17. Let z be u(-6). Suppose -z*n - 10*n = -2254. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 - ((30 - 3) + -16) and 3476?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 3*v**3 - v**2\/2 + 3*v - 140. Calculate the remainder when 122 is divided by t(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*r + 3662 = -1022 - 1608. Suppose 0 = -5*k - 1 - 24. Let m(y) = y**2 - 3*y - 7. Let t be m(k). What is the highest common factor of t and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-22)\/4)\/(11\/(-22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 15. Suppose 11 + 3 = -2*n. Let h = -7 - n. What are the prime factors of b(h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6890.7*-1\nAnswer: -6890.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-84)*(-38)\/(380\/45).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128650646?\nAnswer: 2, 131, 317, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-32))\/(1\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -610, -4, 1, -3, -1, -4465 in decreasing order.\nAnswer: 1, -1, -3, -4, -610, -4465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {o: 2, e: 7, h: 1, z: 4, u: 4}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -8. Let j be (1*10)\/(22\/33). Suppose -3*y - j = 5*a - 5*y, -4*y - 40 = 4*a. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*sqrt(52).\nAnswer: -8*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.3 and 2.07?\nAnswer: -17.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:32 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 2*m**7\/35 - 2*m**6\/15 - 4*m**5\/15 - 59*m**2. Factor o(f).\nAnswer: 4*f**2*(f - 2)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k + k. Let l be (-2)\/(-5)*10\/k. Solve -2*c + 5 = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - -127. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**4 + 19*t**4 + t**4 + 2*t**3 + 3*t - 16*t**4 - 36 as i + w*t**2 + k*t**4 + f*t**3 + v*t and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96.3 - -105.3. Put t, 0.4, -4\/5, 4\/9 in descending order.\nAnswer: t, 4\/9, 0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 - 2*c + 14. Let b be n(-5). Let v = b + 6\/7. What is the second smallest value in v, 2, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-7)\/(1050\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 6 + 2304*h - 649*h + 16 as q + s*h and give s.\nAnswer: 1655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 3*b + 21, 21*o + 18 = -4*b + 23*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108, 0.4, -2\/11, 2\/7?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82383, -82368, -82349, -82326, -82299, -82268, -82233?\nAnswer: -82194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.773103 to two decimal places.\nAnswer: -23.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783967812.\nAnswer: 2, 199, 3497447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -1.26. Which is the biggest value? (a) -3\/7 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -23*n + r - 2, 141282*n - 4*r + 210 = 141277*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11230285207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-9)\/r)\/r*r*((r*r**(-23))\/r)\/r assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3030)\/(-30) + 3*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 13*v - 10. Suppose 0 = -n + 4*j + 10 + 12, -v*n - j + 5 = 0. Factor 0*o**n + 3\/2*o**3 + 0 - 3\/2*o.\nAnswer: 3*o*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -22. Suppose 0 = b - c*b - 2*y + 38, 4*y - 12 = -2*b. Calculate the remainder when 30 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*m - 27*m + 13*m to the form s + h*m and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*u**3 + 0 + u**3)*(u + 3*u - 2*u) + 3*u**4 + u**4 - 2*u**4.\nAnswer: 4*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 200349 equal to -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 225887*m**2*y - 2*m**2 - 2*m*y + 4287296*m - y wrt y.\nAnswer: 225887*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -370, -1959, -5504, -11737, -21390, -35195, -53884, -78189?\n\"Answer: -122*o**3 - 246*o**2 + 3*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 2*f - 5*f. What is the highest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrfdfvb. What is prob of picking 1 f and 3 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 14 - 32. Let j = a - 4. Suppose g = -3*q - q + 33, j*q - 30 = 4*g. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1365 (base 10) to base 11.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*o = -t + 30157, 22617 = 3*t + 3*o. Suppose 5*v - t + 1088 = 0. Let -1284*d**3 + 8*d**2 - 8*d + v*d**3 + 2 - 2 = 0. Calculate d.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 23. What is the third biggest value in 0, 1\/5, -1\/7, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*i - 4 + (-3*i + 2*i + 3*i)*(2 + 1 - 2) + 0*i + 0*i - i - 2452958 + 250*i + 2452958.\nAnswer: 253*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 4. Let f(z) be the second derivative of 2*z**3\/3 + 11*z**2\/2 - 163*z + 2. Determine -6*f(t) + 17*l(t).\nAnswer: -7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -97*d**2 + 6*d - 5. Calculate a(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 105 + 395 = 0. Let j be (21\/14)\/((-3)\/248). Let o = l - j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000552606273 to seven decimal places.\nAnswer: -0.0005526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2. Let q(n) = 363*n**2 + 4*n - 4. Let y(b) = 2*b**2 + 2*b - 2. Let u(x) = -q(x) + 2*y(x). Calculate u(v(a)).\nAnswer: -359*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -9)*(-5 - -5). Suppose x*o = -14*o + 840. Calculate the highest common factor of o and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 17*d**2 + 39*d - 7. Is 5 a factor of g(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3814*i - 15628. Determine v(-4).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -491 - -625. Calculate the smallest common multiple of 4 and c.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 3 - (2 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -848\/5. Let p be 2 + 2\/(-4)*-4. Suppose 9*x - p*x = 0. Are x and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*j + 66 = -n, -2*n = -5*j - 159. Suppose -n - 42 = -3*x. Calculate the remainder when x is divided by (26\/8)\/((-1)\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2634 + 4830 = 6*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001177 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((408 - 390) + (-1 - 13) - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 7. Let x be (-4)\/f + 504\/(-10). What are the prime factors of ((-12)\/(-5))\/((-15)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -1\/2*u**2 + 2*u - 154. What is i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1523794000 to the nearest 1000000.\nAnswer: -1524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6815 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.03. Let n = 0.029999 + l. Round n to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) 7\/3 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = -4*i - 0*i, 2*i + 5*q - 8 = 0. Let j be 1*i*(-1 - 2). Let o(l) = -l + 3. Let x be o(0). Calculate the highest common divisor of j and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*((-15)\/(-6))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17308 = -3*r, 0*r - 4*l = -r - 5786. Let h be (2\/(-1) + 1)\/(62\/r). Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z + 860. Let j(a) = -2*a - 148. Let x(y) = 34*j(y) + 6*r(y). Let n(b) = -3*b. What is x(n(h))?\nAnswer: 6*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 16 = 0, -5*x = -25*m + 21*m - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 34428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143, 554, 1185, 1988, 2915?\n\"Answer: -8*d**3 + 158*d**2 - 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 1) + -1 - (-60 - 1). Let w = -60 + j. Let h(a) = a - 1. Let r be h(3). Solve r*y + 15 = -w*u, -2*u - 3*u + 3*y - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -0.1.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let l(y) = 4*y**2 + 2*y + y - 3*y**2 - 2*y. Let a be l(-1). Solve -v + t - 2 = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7 + 25. Suppose -b + h = 2*a - 0*a, -5*b - 4 = -a. Suppose 39 = 3*i - 0*s - a*s, 0 = 4*i + 3*s - 52. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5*p = -89, -7*l + 57*p - 41*p - 141 = 21*p for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/3, 4943, 5, -96?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 2*t + 2. Let s(w) = -1739*w**2 - 6*w + 6. Give 3*h(r) - s(r).\nAnswer: 1727*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577 (base 10) to base 9.\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = -20. Let w = 10 - v. Suppose -w*r = x - 14, 2*r + 0*r + x - 11 = 0. Solve -r*b = 2*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4393, -8904, -13415, -17926, -22437?\nAnswer: -26948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/2204 in 0.2, 5, -16\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115534*n - 117912*n + 187862 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from tttzzttmtztzmzmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 = -3*d, -2*d + b - 29 = 2*d. Let s = 7 + d. Let w(p) = 2 + p - 2. What is w(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15*y**2. Let z = 71 - 58. Let q(p) = 19*p**3 + p**2 - p. Let j be q(1). Let w = j - z. Let x(u) = -8*u**2. What is w*c(o) + 11*x(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*v**3 + 19*v**3 - 36*v**3 - 12*v**3.\nAnswer: -90*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18545983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 520.5.\nAnswer: 3643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/4, -1\/12, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4 - 4*r**3\/3 - r - 6. Determine c(-3).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -82*d + 96*d - x, 0 = -4*d + 5*x - 31 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2908 = 3*s - 3771, -3*p + 2*s = -20081. Is p >= 6689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 173\/4. Let l(f) = -f**2 + 8. Let d be l(0). Let p be d\/(-10) - 2 - -3. What is the closest to 1 in 1, p, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + h, 0*t - t = 4*h - 15. Suppose -k = -4*k + 15. Sort t, 2, k in descending order.\nAnswer: k, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122201 (base 4) in base 10?\nAnswer: -5793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**6\/60 - 17*b**4\/6 + 21*b**2. What is the second derivative of v(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121808 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 3*h. Let n(b) = b**3 - 3*b**2 - 8*b + 5. Is 5 a factor of n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (2 + sqrt(180) + -2)) + -2 + sqrt(180) + 0 + -6*(1*sqrt(180) + sqrt(180) - sqrt(180) - sqrt(180))*3)**2.\nAnswer: -24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1201008 and 2882.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4\/7*g**3 - 12\/7 + 18\/7*g**2 + 2*g = 0.\nAnswer: -3, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*p + 3590, d + 4*d = 3*p + 4494. Suppose 6*t = -4*t + d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(33\/(-11)) + (-37)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 6*f = 2*f, -5*l + 2*f = 2*l - 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*d - 678, -d - 8 = -2*m + 272. Calculate the remainder when m is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336 = -535*n - 20795 - 7434 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 13*o**2 - 13*o - 2. Calculate r(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 84 - 14 = -450. Let f(y) = 15*y. Let q be f(12). Suppose 0 = -5*b + 3*a + a + q, 0 = -2*a + 10. What is the greatest common divisor of b and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:51 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33.71519mm?\nAnswer: 0.03371519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 230. Let p(k) = -3*k + 346. What is 7*h(u) - 5*p(u)?\nAnswer: u - 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31535 and 2199545.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 29*a - 39*a)*(2*a**2 + a**2 - 6*a**2).\nAnswer: 63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204.2 + -0.2. Let j = -0.002377 + -203.067623. Let y = f + j. What is y rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a + 0 + 2 + a**2 - 13*a. Let c be j(2). Suppose -5*v + 67 - 2 = n, -2*n = -c*v - 94. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 4*w - 3*w)*(-2*w + 2 + w + 1).\nAnswer: -4*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/35*-1*(-30)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -42, -66, -106, -168, -258, -382?\n\"Answer: -f**3 + f**2 - 10*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 858 and 990.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 4*i - 22. Let w(y) = -y**2 + 2*y - 11. Let s(a) = a**3 - 6*a**2 - 32*a + 34. Let h be s(1). Give h*x(q) + 5*w(q).\nAnswer: q**2 - 2*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-12565)\/89320 - (-10 + (-434)\/(-44))).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and 188.\nAnswer: -12408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 185, 19, 0.03?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 11. Let j be l(4). Let c = 0 - j. Differentiate 22*f**2 + 0 - 11*f**2 + c wrt f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 2 (b) 4\/9 (c) -26570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13567982\/5 or -2713597?\nAnswer: -13567982\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17963617.\nAnswer: 7, 41, 62591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1240)\/(-930) + (-48)\/(-27)*3\/(-4). Suppose -b - 9 = -3*b + w, 2*b - 2*w = 10. Solve b*z + 5*q = -k + 2, 5*z - q = 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3296, 3569, 3906, 4337, 4892, 5601, 6494, 7601?\n\"Answer: 5*t**3 + 2*t**2 + 232*t + 3057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 11) + -8 + 19 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 42728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (5 - 13) + (11 - (7 + -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 2 - 2)*(-32 + 57*l + 54 - 26)*(l - l + l)*(0 + 0 - 1).\nAnswer: 228*l**4 - 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 94*c + 216. What is h(-6)?\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3\/2 - 1135*o**2\/2 + 1521325*o\/2 + 470174055\/2.\nAnswer: -5*(o - 579)*(o + 403)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 - -3 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, 1, 2, 2\/440275, 1\/2, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8 - 18\/4. Let m = -3 - s. Let f(t) = -13*t + 79. Let z be f(6). What is the highest common factor of z and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 9*j**2 - 567*j - 2499.\nAnswer: 3*(j - 17)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001381575 rounded to five dps?\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*m**5 - 101*m**2?\nAnswer: -10920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 550 + -125652?\nAnswer: -125102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = -7. Suppose -v*g + g = -14. Solve -g*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8883*c**3*w**3 + 22*c**2*w**3 + 8*c**2*w**2 - 4*c*w**2 - w**3 wrt c.\nAnswer: 53298*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -x - r, -x - 6*r = -r + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2264\/(-101031)*-119*(-1)\/10.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3412663.4 times 0.5\nAnswer: 1706331.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005797 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410 (base 8) to base 11.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 3*s**4 - 2*s**4 + (-3*s + 4*s - 3*s)*((-4*s**2 - 2*s + 2*s)*(-s + 2*s - 2*s) - 4*s**3 + s**3 + 2*s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - q - 6*q**2 + 7*q**2 + q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -10. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8909\/19 - 469. Suppose 5 = -5*h - 0*h. Which is greater: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 14, 29, 50, 77, 110, 149?\n\"Answer: 3*q**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*i + 169, i - 102 + 15 = 3*m. Let w = 27 - i. Let x = w - -77. Calculate the greatest common factor of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 36. Suppose u = 6*u - c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/3)*a**(-2\/5)\/a)\/(a**(-1\/4)*a*a*a**20))**(-15\/2) assuming a is positive.\nAnswer: a**(1289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -251, -0.05, -1\/4?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8568\/(-1071) - (-16 - -1). Let d(n) = 4*n + 20. Let u(f) = -3*f - 13. Let l(w) = 5*d(w) + 7*u(w). Determine l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 925276 and 4114?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -16, 1\/3, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6264647 + 6264647 - 18*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15*u**3 + 3563*u**2 - 3*u + 8. Let y(x) = -11*x**3 + 3564*x**2 - 2*x + 6. Give -3*p(g) + 4*y(g).\nAnswer: g**3 + 3567*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 8*a + 3. Let p be v(-7). Suppose 0*z = -5*z + p. Suppose 2*o + z = 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -188\/3. Which is the biggest value? (a) -4 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 82658815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469330 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1*3 + sqrt(1539) + (sqrt(1539)*1 - sqrt(1539)) + 2 - (sqrt(1539)*2*4 - 5*(1 + sqrt(1539))))**2.\nAnswer: -630*sqrt(19) + 38524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.88 - -0.12. Let i = -7 + w. Let j = -3 + 2.8. What is the second biggest value in i, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**3 + x + 1. Let q be s(-1). Let i be 135996\/(-10) + q\/25. Let y be (-6*5)\/(6\/i). What is y rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 11*z**4\/24 + 5*z**3\/6 - 10*z**2 + 11*z. Let s(l) = -8*l + 7*l - 3 - 4*l. Give -3*f(a) - 5*s(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 46 + 50)*(1 - 1 - 4)*(13 + 34 + 25)*(2*f + 3 - 3) as c*f + g and give c.\nAnswer: -39744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -416*l**3 + 28*l**2 + 34*l - 60. What is i(1)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113304?\nAnswer: 2, 3, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 10. Find the common denominator of -46\/3 and 2\/v - (-98)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335 + 335 - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54900 less than 54899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1582, -3159, -4734, -6307, -7878, -9447?\n\"Answer: y**2 - 1580*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 16*k - 11. Suppose -13 = 4*t + 23. Let a be m(t). Let x = 8.9 - 9. Put x, a, 2\/3, 0.2 in descending order.\nAnswer: a, 2\/3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 231661?\nAnswer: -5\/231661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-423)\/396 - (-2)\/(-11). Let u be 0 + 4\/(-14) - 0. Sort u, 0, t in descending order.\nAnswer: 0, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 940 divided by -235\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/180 - 4*j**5\/45 - 20*j**4\/3 + 256*j**3 - 5274*j**2. What is t in i(t) = 0?\nAnswer: -16, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217648000 to the nearest 100000.\nAnswer: 217600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 441, 5, 2, -4, -2, 0 in descending order.\nAnswer: 441, 5, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5029 and -757?\nAnswer: -3806953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2692*a + 117 = 2696*a - 3*m, 7*m + 69 = 13*a - 8*a - 61 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - (-6 + 32 - 26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3029, 3036, 3047, 3062, 3081, 3104?\nAnswer: 3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10613362*r**3 + 2*r**2 + 1283347*r?\nAnswer: -63680172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*d - b, -2*d - b + 19 - 7 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101111100001 - -11100111?\nAnswer: 10011110011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdp when three letters picked without replacement from kppbkkpkkpkbdkkppk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29701*o**2 + 60*o - 125 wrt o?\nAnswer: 59402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -218, -270, -356, -476, -630, -818, -1040?\n\"Answer: -17*v**2 - v - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 41, 1, 5 in increasing order.\nAnswer: 1, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201002 - 1022001?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 26*z - 30*z - 32 + 18.\nAnswer: -44*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(3\/4)))**(-31)\/(u*(u*((u\/u**(-5))\/u)\/u)\/u)**(-2\/35))**(-32) assuming u is positive.\nAnswer: u**(-5272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose -2 - 10 = -v*b. Solve -y - 3*y - b = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlppyppzpypyp. What is prob of picking 1 y and 1 p?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 9)\/(6\/(-15)). Solve -4*n + 3 = f*q, -3*n + 11 = -5*q - 0*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 15. Let g = 40424.00056 + -40416. Let o = g + q. Round o to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 663 and 0.4.\nAnswer: 265.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 6*t - 1. Let r be u(6). Let x = 15 - r. Suppose 2*m - 16 = x. What is the highest common factor of m and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2227\/4 - 565. Which is the third smallest value? (a) g (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158467 is divided by 4951.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 9, f: 2, k: 1, e: 1}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2618*v**3 + 1356*v**3 - 5*v + 1260*v**3 + 5*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9895 is divided by 341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*v**3 - 68*v**2 - 5*v wrt v?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8608055 divided by 1\nAnswer: -8608055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5513154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 254*p + 2031*p + 60*p.\nAnswer: 1837*p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42a0 + -13?\nAnswer: -42b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107574.\nAnswer: 2, 3, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*z**3 + 693*z - 691*z + 1584*z**3.\nAnswer: -3*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156440447 to the nearest integer?\nAnswer: 12508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92917043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s**(-6)))*s*s\/(s\/(s\/s**7)))\/((s\/(s*s**(-2\/11))*s)\/(s\/s**(-6)))*(s**(-6\/11)*s*s\/(s*(s*s*s**(-2\/9)\/s*s)\/s))**(6\/5) assuming s is positive.\nAnswer: s**(-589\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 > 17408\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 24*q - 60. Let i be c(21). Suppose 0 = v - 2*t + 2, -i*v + t = -3 - 11. Suppose 7*b - 2*b - 10 = 0. Solve -b*r + v = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(500) - -4*sqrt(500))**2 + -4)*-6.\nAnswer: -74971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 76*f**2 + 256*f - 240 = 0. What is f?\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7099792 > -7099794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20369*y**5 + 25970*y + 1.\nAnswer: 407380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -20.1. Let t = 5.9 - p. Let r = 47\/3 + -16. What is the closest to 3 in t, r, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h + 2. Let k be n(-1). Let i be (2\/(-1) + 2)*k. Let f be 12 + i\/3 + -1. Which is smaller: f or 14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -67\/54, -0.5, 2, -22\/375, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:52 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.276 + 0.054. Let v = k - 0.03. Which is the second smallest value? (a) v (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*f = -227*f - 6, g - 2*f + 7 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (4 - 1) - -2. Suppose 2*n = k*v + 100, -5*n + n = -2*v - 202. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-15) - 2) + (-306)\/(-85). Suppose 0 = -5*d + 5*g - 15, 2*d - 4*g = -4 - 12. Solve -d*m - x = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 2*s)*(5*s**2 - 3*s**2 + 4*s**2) + 0*s**2 + 0*s**2 - s**3 + (4*s + s**2 - 4*s)*(2*s + 1 - 1) - 3*s**3 + s**3 + 3*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/2, -1.84, 11, -0.4, 27, -6?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d - 12. Calculate the remainder when 66 - 1 - (3 + d) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14427 + -314?\nAnswer: 14113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -607969 and -0.4.\nAnswer: 243187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -207, -365, -513, -645, -755, -837?\n\"Answer: y**3 - y**2 - 162*y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 312 and -2?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 + 6 - 10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**2 - 2*m**2 + 176*m**5 - 168*m**5 wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/1036 and -89\/568?\nAnswer: 147112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, r: 7, g: 5}. Give prob of picking 4 y.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 13 - (1 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129797379 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010011010 (base 2) in base 9?\nAnswer: -25344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1180.\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462954944?\nAnswer: 2, 41, 176431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31610 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -8.286646\nAnswer: 8.386646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -t, 0*t - 2*b = -4*t + 18. Suppose -t*h = 2*l - 6, -h = 3*l + 4*h - 9. Let v(c) = c**2 - 3*c - 4. Let w be v(4). Solve w = l*q - 8*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 77076.68 years?\nAnswer: 7707.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 782769 and 1482.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h**3 + 3*h)*(5*h + 7 - 7 + 2*h + 0*h - h + (0*h + 5*h - 4*h)*(87 - 11 - 28)).\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-580)*(-15)\/9*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.33 - -0.33. Let m = i - -10. Let p = 4 + m. What is the nearest to -2\/3 in 0.3, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2687, -7487, -15489, -26693, -41099, -58707, -79517?\nAnswer: -103529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**(-7\/3))**(2\/7) assuming l is positive.\nAnswer: l**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1612)\/34658)\/(26\/(-1677)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -19*z**3\/2 - 4*z**2 - 6*z. Let n be v(-5). Suppose 4*f + n = 4*w - w, 0 = -5*f + 10. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -153, -227, -301, -375?\n\"Answer: -74*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.57, 2\/161, -1\/12, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**5 - 2*j - 6*j**2 + 2*j + 0*j**5 wrt j.\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*2*-5 - (sqrt(1700) - (-2 + 1*sqrt(1700))**2) - ((2*sqrt(1700)*-4)**2 + sqrt(1700))*5.\nAnswer: -542296 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 + 210*l - 205. Give n(64).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/27 + -51*(-4)\/18. Let l(t) = -225*t + i - t**2 - 225*t + 453*t. Let c be l(3). Solve 5*g + c = 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.350421m to micrometers.\nAnswer: 5350421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -184*k**2 - k**3 + 370*k**2 - 185*k**2 + 1 - k. Let p(u) = -4*u**3 + 5*u**2 - 5*u + 4. Give 5*d(g) - p(g).\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1330742, -1330750, -1330768, -1330802, -1330858, -1330942?\n\"Answer: -i**3 + i**2 - 4*i - 1330738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78*23.\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h. Let k(f) = -263*f**2 + 21*f + 7. Let j(n) = -87*n**2 + 6*n + 2. Let i(l) = 7*j(l) - 2*k(l). Calculate t(i(g)).\nAnswer: -830*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)*2 + sqrt(6655)*2)\/((sqrt(270) - (sqrt(270) + -3*sqrt(270)))\/sqrt(6) - sqrt(45))*-2.\nAnswer: -34*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -4\/13, 5 in decreasing order.\nAnswer: 5, 1.9, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 = 2662*x - 2638*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:31 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 307 and 156616?\nAnswer: 48081112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0550165891 - 54349.\nAnswer: -54348.9449834109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52.475 + -52. Let q = -0.1 + -0.2. Let b = n + q. What is b rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16168 and 119\/48504.\nAnswer: 48504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o\/o**(1\/5)))\/o*o)\/(o**(-3\/2)*o))**(-8\/9))**(-13) assuming o is positive.\nAnswer: o**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c90b (base 16) to base 14.\nAnswer: -308d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 4 - (1 + -1). Let h = 16577 - 16572. Solve -3 = -g*w + h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 72823491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34164 divided by 6.\nAnswer: 5694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 314 - -91?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*s**2*y**2 - 5*c**3*s**2*y - c**3*s**2 + 11*c**3 + c*s**2 - 5*c - 468*s**2*y**2 wrt y?\nAnswer: -4*c**3*s**2 - 936*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 228*u - 3. Let g be j(-3). Let b = g - -1241. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 7. Let k be o(5). Let x be k\/(-4)*(19 + -1). Is (-53)\/(-3) + 6\/x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1678*c**5 - 14*c**4 + 2*c**3 - 64052*c**2.\nAnswer: 100680*c**2 - 336*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1)*12\/(-24). Suppose -2*f + 2 + 2 = c. Solve 2*y + 4 + f = 0, 5*s - y = 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/112 and -33\/1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1404 and 153738?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -4*d**2 + 18*d + 2. Let h be v(8). Let s = -16 - h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2748*b + 2748*b - 252*b**2 + 1397*b**3.\nAnswer: 1397*b**3 - 252*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873162 + -0.2.\nAnswer: 873161.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 77. Give r(32).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -2*a, -5*a - 11 = -2*d - 3. Let q = 10 + d. Suppose q*n = -2*i + 24, i - 40 = -3*n + 5*i. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*o + 152, -z + 5*o - 31 = 27. Let a = z + 168\/5. Sort a, -1, 0.3 in descending order.\nAnswer: a, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153293.5963 * 3.\nAnswer: 459880.7889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24780.1 and -0.2.\nAnswer: 4956.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 416 - 167 = 0. Let z = -39 - h. Let m = z - 25. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 - -130.7. Let h = 245 - 251. What is the nearest to i in -2\/3, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-15)\/(-6)*36\/45. What is the remainder when 172\/6*((-8)\/l + -1) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-208)*16*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) + -1*sqrt(378) - sqrt(42))\/(4*sqrt(7)*-1))\/(-4*sqrt(432) - -3*(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: -sqrt(2)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-9) + 1092\/108. Calculate the highest common divisor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**5*s*s*s*s*s*s*s\/(s\/(s\/s**(2\/3)*s*s)*s*s)*(s*s**3\/s)\/(s\/s**(-1\/3)) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (14 - (6 + -18)) - 16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38285057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*18\/(-216)*-8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 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 17890361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7*p - 49. Let w be t(11). Let i be (9\/(-6) + -1)*6. Let q be (-20)\/(-12)*(-2)\/i. Which is the third biggest value? (a) -4\/13 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -416.7 + 393. Let v = i + 25. Let x = -1.5 + v. What is the second smallest value in -0.4, x, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1173*f - 1353*f - 294*f**2 + 761*f**2 - 749*f + 934*f**2 wrt f?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20485*z**2 - 24437 wrt z?\nAnswer: -40970*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3164 (base 8) to base 13\nAnswer: 9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*f*j**5 + 25*f*j**4 + 10*f*j + 81*j**3 - 341*j**2 + 180*j - 1 wrt j.\nAnswer: 16380*f*j**2 + 600*f*j + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -812*d + 17056. What is k(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 14*a - 27. What is k(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2b8 + -2?\nAnswer: -b2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36*u**2 - 9*u + 8. Let i be b(6). Let t = i + 2961. Let d = 3313\/2 - t. Find the common denominator of 55\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) + -4*1*sqrt(33) + (sqrt(33)*-1 - sqrt(33))*5)*-3)\/(1*-1*sqrt(99)*-1))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 91*l + 11*l + 35 - 35 - 19*l. Let v(k) = 13*k. What is s(v(o))?\nAnswer: 1079*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/((-14637)\/34)*(-8)\/(-120)*-7.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**3 + 561*a - 561*a - 12*a**2 wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((-1085)\/620)*(-1148)\/(-12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186772138 rounded to six dps?\nAnswer: -0.018677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25040651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2*6\/(-5). Let s = 2\/30147 + -30167\/301470. What is the closest to 1\/7 in s, 5, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - h**5 + 3*h**5 + (0*h**2 + 2*h**2 - 6*h**2)*(0*h**3 + h**3 - 2*h**3).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -10\/7 (b) 1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 - 23 = -27*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from {l: 7, f: 1, e: 5}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 11bc?\nAnswer: 11c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 891701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -26. Let l = 26 + m. What is the remainder when l is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-13)*g*g*g))\/(g\/g**(1\/10))*g**(-26)*g*g*g**(-15\/2))**(-37) assuming g is positive.\nAnswer: g**(4144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/((-15)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195457025 by -39091405.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0853 decades in months?\nAnswer: 250.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2786141703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-30)*r*r\/(r\/(r\/r**(2\/23))*r))**(-2\/55))**(-4\/7) assuming r is positive.\nAnswer: r**(-5352\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**2 + 7*y + 15. Suppose 0 = s + 5*x - 11, -2*s - 17 = 5*x - 34. Let j(n) = 9*n**2 - 4*n - 8. Give s*p(t) + 11*j(t).\nAnswer: -3*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -0*h - 5*h, h - 11 = -y. Suppose y = -8*z + 12*z. Let t(g) = 20*g - 7. Calculate the remainder when t(z) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 18814.59.\nAnswer: 18814.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(-15)*j*j**6\/j*j\/j**(-6))\/((j**(2\/7))**(-1\/45)\/(j**(2\/19)*j**(2\/15))) assuming j is positive.\nAnswer: j**(43361\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046436068 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1) + 0)*-19. What is the common denominator of (-1 - w\/(-40))*-78 and ((-4)\/(-5))\/(3\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88.2 + -725.2. Let f = n - -651. Is -6 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - 2*q**3\/3 - q**2 + 4*q. Let z be m(5). Let d be 9\/(-2 + z - 0). Solve 7*b + d = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/3 (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/84*(-12)\/(-10). What is the closest to -1\/4 in 1\/3, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/67, 4, -21?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 53?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + 18*l**2 + 4*l - 17. Calculate f(-7).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 36. Sort c, -3, -12.\nAnswer: -12, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 157c2?\nAnswer: -157c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + c + 21 = -p, 0 = -p + 4*c + 8. Sort -5, 1, p in descending order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + 4*f**3)*(-163*f + 167*f - 105*f).\nAnswer: -404*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) -2\/5 (b) 0.2 (c) -4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -2\/9 (c) 0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = 3. Suppose -4*n + 0*r = -h*r - 88, -n = 2*r - 17. Let y(t) = 8*t - 1. Let q be y(1). Calculate the highest common factor of n and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1366672164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, g: 2, u: 1, q: 2, r: 1}. What is prob of sequence qv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376 + 389. Suppose -83 - 125 = -j*v. Solve 5*d + c - 2*c - v = 0, d = -c + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (82\/(-8))\/((-1)\/4) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*w - 7 - 69, 4*t + 3*w - 116 = 0. Suppose -2*u = 2*u - t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/20 + y**4\/4 - 5*y**3\/6 + y**2\/2 + 13*y + 2. Determine q(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96175.6 millilitres to litres.\nAnswer: 96.1756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1380\/551 or 2?\nAnswer: 1380\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:50 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -282 + 2?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 179484131 less than 36?\nAnswer: -179484095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*38\/(-57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*r - 26, 9*r = 10*r + 4*s + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 165\/(-40) - (-6)\/48. Let d(r) = 13*r**2 + 4*r + 1. Let p(g) = 38*g**2 + 11*g + 3. Let m(c) = t*p(c) + 11*d(c). Determine m(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 788, 1779, 3174, 4979, 7200, 9843?\nAnswer: 12914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 9) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.5027759 to two dps.\nAnswer: -54.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10550 + 10546. Let c(t) = -4*t**3 + 4*t**2 + 7*t - 1. Let o(l) = -2*l**3 + 2*l**2 + 4*l - 1. Calculate n*c(u) + 7*o(u).\nAnswer: 2*u**3 - 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -5, 31, 107, 235, 427, 695, 1051?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -611795 and -40.7388?\nAnswer: 611754.2612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*x + y - 224, 5*x = 5*y + 305. Suppose 3 + x = 5*u. Let a = -11 + u. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8584 and 2085616.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45106*b**3 - 11*b**2 - 3*b - 212.\nAnswer: 270636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y**3 - 463 + 36 - y - 282 + 121 + 12*y**3 to n + g*y**3 + w*y + m*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 2*o**3 - 2*o**5 + 5*o**5 + 0*o**3 + 0*o**3 - o**5 + (2*o + 0*o + 7*o)*(-2*o**4 + 2*o**3 - 2*o**3) - 7*o**5 - 17*o + 17*o.\nAnswer: -25*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25137866747638 - -0.02.\nAnswer: -25137866747637.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -270593*i - 5411847. Determine p(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37083 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6208574 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 68*v**2 + 1030*v - 109. Determine h(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9\/5))\/(m**(-13)*m) assuming m is positive.\nAnswer: m**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f**2 - 5*f + 10. Let q(u) = 50*u**2 - 12*u + 24. Let w(t) = 12*n(t) - 5*q(t). Let l(j) = 28*j**2. Calculate w(l(m)).\nAnswer: -7840*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7738193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 0*w + w + (0 + 3 - 5)*(-4 + w + 4) - 2*w - 2*w + 2*w - w - 2*w + w + 28 - 28 + 84*w in the form l + n*w and give n.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 808*b**2 - 4*b + 185. Let t(y) = 809*y**2 - 5*y + 184. Let k(j) = 3*t(j) - 4*z(j). What is the second derivative of k(o) wrt o?\nAnswer: -1610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/81? (a) 31 (b) -1\/3 (c) 1\/10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.35015 litres in millilitres?\nAnswer: 9350.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 + 4. Let u = 1693.066 + -1695. Let v = 0.066 - u. Put 1, x, v in increasing order.\nAnswer: x, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -107*z**3 - 3*z**2 + 2*z + 29. What is the hundreds digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/3 (b) -1873\/3 (c) -0.049 (d) 1\/3 (e) -2\/9 (f) 5 (g) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b3 + -14?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3104434003 + -24?\nAnswer: 3104433535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/120 - 2*u**5\/15 + u**4\/8 + 4*u**3\/3 + 200*u**2 - 7*u. Suppose 32 = 4*p - 2*g, 2*g + g - 8 = -2*p. What is a(p)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -632*o**3 + 2*o**2 - 735. Let a(u) = -1274*u**3 + 5*u**2 - 1471. Let r(q) = 2*a(q) - 5*c(q). Differentiate r(v) wrt v.\nAnswer: 1836*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -8 + (14 - (12 + -12) - 23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -220293 and 0.06.\nAnswer: -13217.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 3*d - 4*d + 13*d to j + x*d and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/r*r*r**7\/r*r)**(-17)\/(((r\/(r*r\/((r\/(r\/r**(2\/3)*r))\/r)*r*r))\/r)**42)**(-22\/3) assuming r is positive.\nAnswer: r**(-26578\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -133, -194, -233, -244, -221, -158?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 7 = -o, -1739*o - 5*g = -1736*o + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-24)\/117)*99\/(-54). Let d = -35 - y. Factor 5\/4*o**2 - 1\/4*o**3 + d - 7\/4*o.\nAnswer: -(o - 3)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:56 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 36*u - 385. Determine w(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5*33)\/(2 - 3). Suppose -2*a + 5*v + 38 = 0, -2*a - 2*a = -2*v - 44. Suppose -3*c - j = -a. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220.4 + -220. What is the third smallest value in 2, s, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1217 + 4067. What is the greatest common factor of 450 and o?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425188624 divided by 171724?\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 18. Let a be h(8). Let x be (2 + (a - -1))*(4 - -1). Solve 2*q - x = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93024 = -1202*y - 1720*y + 35277 - 26031 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/((-56)\/(-13608)*24\/(-6))?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143)*-2 + sqrt(143) - sqrt(143)) + sqrt(143))\/(-2*sqrt(1331)).\nAnswer: -5*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -23270?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285*h**3 + 5*h**2 + 6209*h?\nAnswer: 1710*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -7108637.\nAnswer: -3554318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 11 = 5. Let m be 0\/v - -2*1. Find y such that -1\/2*y - 1 + 1\/2*y**m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2 - 7. Let t(j) = -6*j**2 + 5. Let v(u) = -5*c(u) - 7*t(u). Let s(o) = -o**2 + 13*o + 23. Let y be s(16). Let i = -24 - y. Determine v(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 2, o: 5, k: 1, h: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*k - 6875 = -214*k + 282*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = -45. Let p = c + 39. What is the highest common factor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5592 + -5576. Calculate the remainder when 5470 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 5*m**3\/6 - 121*m**2\/2 + 131*m. Let j be l(26). Let g(d) = -d**2 + 8*d - 9. Give g(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 111*w - 49. Let j be (5 - 3)\/((-48)\/(-22) - 2). List the prime factors of m(j).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t**4 + 6173462*t**3 - 11943825?\nAnswer: 8*t**3 + 18520386*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 22 - 38 = 5*l + 52, -23043*l + 2*g = -23031*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzlv when four letters picked without replacement from lvzv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 76*w + 97*w - 28*w in the form g*w**2 + j + u*w and give u.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*r + 162*r = 2*q + 21, 3*q = 4*r - 23 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*z**2 + 1 + 68*z + 2 - 11*z**2 to t + v*z**2 + s*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3432, 1.1, 0.342, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - t + 6)*(2*t**3 + 2 - 2) - 1208*t**4 + 42*t**2 - 22*t**2 - 20*t**2.\nAnswer: -1210*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*x - 72*x - 890 = -48*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 980 - ((-2)\/12*0)\/(-1). Suppose 0 = -3*x - c + s, -2*c = 2*c + 4. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13033783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831*g - 76 = 793*g. Solve 6*l + g*l = 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3. Let d be (-1)\/((-4)\/(-192)*2). Let i(l) = -l + 24. Calculate d*j(u) + 3*i(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796926030?\nAnswer: 2, 5, 179692603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-98780)\/(-74760) - (-1 - (-14)\/6) and -111\/10.\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -550*j*m*w + 12*j*m*y + 75*j*m + j*w**2*y + 102*j - 87*w**2 + 6*w wrt w?\nAnswer: -550*j*m + 2*j*w*y - 174*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 13 = -2. Suppose x - 5*v = 1605, t*x - 7997 = -0*v - 3*v. Let h be (33\/(-4))\/(2\/x). Round h to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24644327*s**2 - 34793430*s?\nAnswer: 49288654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269 or 20?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 + (180277\/(-12628) - ((-84)\/88 + 1)) and (-165 - 1)*(-1)\/(-24)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55476 and 40?\nAnswer: 554760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.4968 - 13.4. What is a rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 17. Let b be o(14). Solve -3*m + 4*d - b*d = 12, -4*d - 27 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(12\/(-30))*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-2 + sqrt(112) + 1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t - 17. Let p be g(4). What is the greatest common factor of p and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.93 + -40.93001168. What is w rounded to 7 dps?\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1850006 = -232*d + 1013106. Is 187 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:13 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2.559, 0.2, 5, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(4 + -1 + (sqrt(475) - 3*sqrt(475)) + 0 + 5)**2.\nAnswer: -800*sqrt(19) + 9820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5287066, -21148228, -47583482, -84592822, -132176242?\nAnswer: -190333736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -31 + 27 + -3*(-3)\/1. Suppose 0 = -i + b + 3129995, j*b + 0*b = -4*i + 12520025. What is i rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 33 + 4 = -5*s, 27 = 5*s + 3*w. Let k(n) = -6 + s + 7*n - 11*n + 5*n**2. Let v(x) = 2*x. What is v(k(c))?\nAnswer: 10*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 11*s**4\/12 - s**3\/6 + 3*s**2. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4440001*j**2 - 28*j + 27. Let f be g(1). What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.196657 millennia in decades?\nAnswer: 419.6657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-76)\/(-133) - (-32)\/(-7))\/1. Let q be 1\/(-6) - (-100)\/24. Put k, q, -3 in ascending order.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 9:07 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856.5 to the nearest 10.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-9 - 2 - 18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.509 - 3.509. What is the biggest value in -1, -1\/6, -3\/314, d?\nAnswer: -3\/314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 17420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + 5 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 6*g**3 + 2*g**3)*(-4*g**2 + 3 - 3)*(-2 + 1 - 1).\nAnswer: -64*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 - 130*o + 540. What is f(5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**7)\/(l\/(l**(-5\/2)\/l)))**(-4\/5)*(((l*((l*l\/l**(-1\/4))\/l*l)\/l)\/l)\/(l\/((l**(-1\/5)\/l)\/l*l)))\/(l**(-2\/23)*l*((l*l**(-1))\/l)\/l) assuming l is positive.\nAnswer: l**(-245\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 11*p - 109. Let g be k(-4). Which is smaller: g or -10\/241?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (4 + -7 + (-30)\/42). Let j be (1 - 2)\/((-11)\/2). Which is the second biggest value? (a) 0.2 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 130 (c) -4\/597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2421 is divided by 106?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 5. Let j(m) = 11*m**2 - m + 1. Let d(b) = 9*b**2 - b. Let l(f) = -5*d(f) + 4*j(f). Determine 4*l(a) + 3*q(a).\nAnswer: 2*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -468, -1048, -1860, -2904, -4180?\nAnswer: -5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/2 + 2085\/90)\/(11640\/55872)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 k, and 2 b when four letters picked without replacement from cbkcbcccgrttbckkbck.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 7. Let k(q) = 6 + 6*q - 2 - 5*q. Give 3*h(m) + 5*k(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268837645 to the power of 1\/2, to the nearest integer?\nAnswer: 35621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1989)\/(-52)*3\/(-9))\/(123\/164)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -3*q**5\/80 + 3*q**4\/8 + 37*q**3\/8 - 315*q**2\/4 + 29*q - 64. Solve g(l) = 0.\nAnswer: -6, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.5 and -0.028850255664?\nAnswer: 2.471149744336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0)**(-6\/7))**(-6\/7))**(1\/35) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1070*i**6 - 10*i**5 + i**4 - 2*i**2 - 33769*i + 1 wrt i?\nAnswer: 128400*i**3 - 600*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2821)\/(-651) + 2\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m**3 - 1. Suppose 4*u = -8 + 16. Calculate the remainder when z(u) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2. Let h(z) = 2*z. Let r(q) = -2*q**2 + 3. Let u be r(2). Let m(c) = c. Let p(v) = u*h(v) + 6*m(v). Give d(p(k)).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 33960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/223044 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from kxwxxko?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5 - 18\/(-6)). Solve 5*x - 2*k - 12 = -6*k, 3*x + z = 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(0\/1 - -1). Let x = c - -7. Solve -t - x*t = -d + 9, t = 4*d + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3399 = 98*i + 516 - 975 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 526*l - 3576. Give f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.35. Let u = o - -0.2500017. Round u to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 87889153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 680338?\nAnswer: -3\/680338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 45*n - 187. Let l be c(8). Is -419 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*v + 5 - 20, 2*f - 2*v = -8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111 + -12?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.904331 months in years?\nAnswer: 0.15869425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499340 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkitaktqakikiga. Give prob of picking 1 k and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26441 is divided by 215.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - 279. Suppose 7*u - 8*u = 3*v - 2871, d*v = -4*u + 3828. 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 = 3545 + -3545.0000012954. Round z to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - 258?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 761410 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*v - 997*d**2*v - d*v - d + 326*v - 2 wrt d.\nAnswer: 3*d**2*v - 1994*d*v - v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 20*g - 88. Calculate the remainder when 155 is divided by z(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 22, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-242)\/(-55)))\/((-1)\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**2*v**2 - 3*s**2*v - 71*s**2 + 237*s*v**2 + 102*v**2 wrt s?\nAnswer: 6*v**2 - 6*v - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 9*t + 4. Let q be 2272\/384 + -6 - 61\/(-12). Let o(b) = -3*b**2 + 8*b + 3. Determine q*f(w) - 6*o(w).\nAnswer: 3*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11750 - -11742. Which is bigger: g or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**3 + g**2\/2 + 1. Let q(a) = a**3 + 19*a**2 + 34*a - 1. Let i = 358 - 375. Let j be q(i). Give u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -106?\nAnswer: -4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 874\/3 or 0?\nAnswer: 874\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 29, 194, 529, 1088?\nAnswer: 1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 11 - (-3 - (0 + -2)) - 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 22. Give j(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/3081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 170 = 5*b. Let s be 8\/(-4)*b\/(-4). Suppose 4*l - 56 = -4*u, 6*l - 3*l - s = 2*u. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 5*p - 8 - 11 + 26 to m + l*p and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/22? (a) -0.2 (b) 2 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719651*v**3 + 176*v**2 + 111*v.\nAnswer: -4317906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - p = -35, 5*s + 5*p = s + 7. Suppose s*u = 4*u + 120. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 243 and -13.39?\nAnswer: -3253.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13550690, 13550640, 13550590?\n\"Answer: -50*s + 13550740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*x = 26, 3*l + 4*x + 9298 = 9331 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = -0*g. Calculate the remainder when 35 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:49 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**6\/160 + 17*b**5\/240 - 11*b**4\/48 + b**3\/3 + 12*b**2 - 7*b + 1. Factor y(o).\nAnswer: -(o - 4)*(o - 1)*(3*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 51. Let q(i) = 6*i. Calculate q(t(x)).\nAnswer: 6*x - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/2 + 38*c**3 - 43677*c**2\/2 - 21950*c + 43750 = 0.\nAnswer: -250, -2, 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 59*h**4 - 57*h**4 - 2*h + 3*h**2 - 2 - h**3 as k*h + r*h**4 + q + c*h**2 + x*h**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 147480.\nAnswer: 737400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/355 and -67\/30.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4366*f + 5258.\nAnswer: 4366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.9987 + -0.0013. Sort 3\/2, 0, x, 5 in increasing order.\nAnswer: x, 0, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -2\/3, 17, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*a - 17725 = -59269 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 84067635.\nAnswer: 924743985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56447522 + -147597522. Round i to the nearest one million.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85981 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1368, -13, 2, -5, 1, 0 in ascending order.\nAnswer: -1368, -13, -12, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40452897957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 112, 274, 512, 832?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/8 - 5571039*v**2\/8 + 2586370176105*v\/8 + 2586375747147\/8 = 0.\nAnswer: -1, 928507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22 = 5*y + 8, 0 = -2*y - 4. Let f = -85 - -84. Sort f, i, -3 in decreasing order.\nAnswer: f, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742064 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18555400.\nAnswer: 2, 5, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1019 * -9.8\nAnswer: 9986.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) -6\/11 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.059 + 0.941. What is the smallest value in 5, -4, -2\/7, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5513 - 5285.204. Let q = c + -228. What is q rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 3*i**2 + 3*i**2)*(-1 - 2*i + 1) - 100*i**3 + 408*i**2 + 5*i - 817*i**2 - 1 + 410*i**2 to the form y*i**2 + b + q*i + t*i**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + sqrt(3)*5 + sqrt(3) - (4 + sqrt(3)*-5 + sqrt(3)) - (sqrt(24) - 3*sqrt(120)\/sqrt(5))\/(-2*sqrt(512) + sqrt(512)).\nAnswer: -4 + 43*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:33 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1164583773 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 6*g + 400 = 0. Solve 64*t - 44*t - g = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*4)\/sqrt(12)*-3.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3 - 247881*r**2 - 4213266*r - 12887160 = 0.\nAnswer: -82610, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -9*(-5)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376231543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 5*u**2 + u + 4. Suppose 0*f + 15 = f. Suppose 16*j + f = 13*j. Calculate y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 42 = 3*o - 20, -2*t - 80 = -5*o. What is the highest common factor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6994268957 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 531335191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4123*t - 11618 = -7697*t + 3888*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/11 (b) -11 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 3 + 5 + 0 + 3*n**2 + 7*n**3 - 3*n**3 - 4*n. Determine s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 40*n**2 - 48*n + 288.\nAnswer: -4*(n - 2)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.21 rounded to the nearest integer?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 1. Let t(k) = -13*k + 1. Let l(y) = -15*r(y) + 6*t(y). Let x be l(3). Let a = 33 - x. Solve 3*j - a = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 4*m + 13. Suppose 5*r = 2*g + 1, -5*r = -g - 2*r - 3. Is p(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 30*k - 1. Let o(v) = -15*v. Determine 4*d(r) + 7*o(r).\nAnswer: 15*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 2*l - 3*l)*(0*l - 35*l + 7*l) as a*l + z + h*l**2 and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 14796 + 14796.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4144\nAnswer: 5\/4144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 0.0091 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5055 - 3606. Let x(y) = -3*y**2 - z - 3*y + 726 + 720. Calculate x(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 4*m - 12, -3*u = -2*m - 9 + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 792.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13696 - -1875. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 2}. What is prob of sequence ldl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6423ng in micrograms?\nAnswer: 0.0066423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-762)\/4*(-48)\/(-252)*-7 is divided by 124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b - 1a270?\nAnswer: -1a203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w - 3\/2*w**5 + 0 - 18*w**2 - 9*w**4 - 39\/2*w**3.\nAnswer: -3*w*(w + 1)**2*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-704)\/(-6))\/((-2)\/37158). Let l = p + -4220064. Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/585988 and 29\/10738.\nAnswer: 4101916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 408 = 5*h. Solve -4*p + 2*j = -h, p - 4*j - 8 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbooobb. What is prob of picking 1 h, 2 b, and 1 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 5 + 1 - 7)*(-7 + 2 + 3) as i*v + k and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 0.07 (c) -4 (d) -37 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - 11\/(-22). Suppose 0 = p*y - 4*o + 16, -y - 3*y - 3*o = -12. Solve -3*h = -y*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 2. Let u(w) = w**2 - 3*w + 3. Let y(n) = 2*u(n) + 3*v(n). Let d(b) = -7*b. Determine d(y(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:59 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -38, -39, -42, -47?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/36 - 1 - 0. Are -0.06 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 872 - 817. Calculate the highest common factor of j and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -90. Calculate the lowest common multiple of -2 + 4 + 12\/(-4) + q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.025 + -2.975. Let b = -27.16 + 26.96. What is the nearest to -0.2 in b, -1, s, 5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 2*l + 1. Let d be u(-2). Calculate the highest common divisor of d and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57046806 + 57046806 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14994, 14993, 14990, 14985, 14978, 14969?\nAnswer: 14958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-10) + (-47)\/(-2). Suppose 0 = -4*j - v + 96. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 12. Let n be q(11). Let z be (-2 + 3)\/1*n. Let j be z - ((0 - 0) + -12). Calculate the greatest common divisor of j and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 1230?\nAnswer: 36900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 3184 + 3184 - 6*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(0 + 2\/(-4)). Let b be (1\/(-2))\/(l\/(-2)). Suppose 3*q = 14 - 11. Put 5, q, b in descending order.\nAnswer: 5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 944 + -939. Let b(k) = 8*k**2 - 1. Let j(q) = 16*q**2 - 2. Calculate w*b(y) - 3*j(y).\nAnswer: -8*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/65)\/((5000\/400)\/((-10)\/(-6))) and 62\/585.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312520 is divided by 44459?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {h: 15, w: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48434581?\nAnswer: 13, 17, 47, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 982450\/(-196)*(-16)\/10 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 - -3) + 6)*-122*(-111)\/30. Calculate the highest common divisor of 148 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**2 - 4*k**2 + 7*k**2)*(5*k + k - 4*k) + (-12*k**3 - 36*k**3 + 31*k**3)*(3 - 1 - 3).\nAnswer: 39*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51179407 to three dps.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:58 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 90\/4 - (-11)\/22. Suppose -10*n = 117 + a. Does -16 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -343*s + 302 wrt s.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*m - 2*m + 1356*m**2 - 10*m - 2479*m**2 - 2639*m**2 - 1 wrt m.\nAnswer: -7524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/135)\/((-3)\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v**2 - v + 1. Let x be r(1). Suppose -x = -3*t + 2. Suppose i + 7*m - 3*m = 9, t*i - 77 = -4*m. Calculate the remainder when 66 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 46*c + 233. Is l(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 3 - -57) + 0. Suppose -4*w = w - 30. Suppose 0 = 5*y, -b - r = -w*b - 3*y. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/3 - 96770116*z\/3 - 96770114\/3 = 0.\nAnswer: -48385057, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/6 + 9*h**2\/2 + 6*h. Suppose -4*k = -3*z + 4*z + 3, -2*k - 6 = 0. Let a be i(z). Solve a = 2*s - 5*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1034 + -594. Suppose 2*d - 3*w = p, -924 = -13*d + 9*d - 5*w. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a + 199555 - 200999 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 4573751747 and 1.29.\nAnswer: 4573751748.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -6, 2\/271, -78?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13223\/9 - -1469. Let a = 25 - 24. What is the closest to a in -2\/11, g, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723458 (base 12) to base 3.\nAnswer: 10100220012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 2, h: 2, k: 6}. What is prob of picking 1 k, 1 h, and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 117. Let b = -4 + 9. Sort 0, t, b, 20.\nAnswer: 0, t, b, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683745696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026285185 rounded to five dps?\nAnswer: 0.02629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36 (b) 1 (c) 1\/18338\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -113, -2, -5, -17369, 1 in decreasing order.\nAnswer: 3, 1, -2, -5, -113, -17369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f - 0*f. Suppose 0 = -3*h - 2*y + y + 8, -2*y + f = h. Suppose c - 2 = 4*p - 63, -49 = -h*p + 4*c. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 44\/7. Let q(h) be the second derivative of -h**3\/2 - 7*h**2\/2 - h - 1. Give q(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*c - 15, 30 = 8*h - 3*h + 5*c. Suppose -4*u - 2*d = -2*u - 14, 0 = -u + h*d - 13. Suppose 77 = u*p + 7. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 27 = -3*w, -c - 7*w - 2 = -6*w. Suppose 204 = 15*v - c*v. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 5 - (-10 + (-1 - 0) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2*sqrt(304) - sqrt(304)) + 0)**2*-6 + -2 + (-1 + sqrt(304)*-1)**2 + -1)*-1.\nAnswer: 280*sqrt(19) + 16138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 1 d when three letters picked without replacement from {d: 1, b: 5, a: 7, w: 6}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3 + 453*f - 2888.\nAnswer: 6*f**2 + 453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 63 * -0.852986\nAnswer: -53.738118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28931 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**3 + 11 - 11)*(-2 - 3 + 4)*(-4*d + 2*d + d)*(0 - 4 - 1).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 + q**2 + 2*q**2 + 228 - 72 + q**3 - 64 to the form r + k*q**3 + o*q**2 + g*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 17*r**2 + 18*r - 38. Calculate k(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r**2 + 0*r**2 + r**2 + 5*r + 16. Let h be z(-17). Suppose h = 6*c - 410. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + 0 + sqrt(720) + sqrt(720)) - 2*(sqrt(605) + (sqrt(605)*-2 + 0 - sqrt(605))))**2.\nAnswer: 48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/90)\/(48\/72)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - -3) - (-18 - 1) - (608 + -601)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 61. Which is the smallest value? (a) -8 (b) -0.4 (c) w (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 204259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -354, -585, -834, -1107?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.114*-7.76\nAnswer: -16.40464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 108. Factor -10*c**4 + 10*c**2 + 27*c - 6*c - 5*c**5 - 4*c - q*c.\nAnswer: -5*c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1922.741 and -2.\nAnswer: -1924.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-207)\/(-27)))\/(90\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + y**3\/4 + 3*y**2\/4 - 5*y\/4 + 1\/2.\nAnswer: -(y - 1)**3*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -5 (b) 0.9 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -65*p**3 + 9*p**2 - 10*p + 5. Let c(y) = -97*y**3 + 14*y**2 - 14*y + 7. Calculate 5*c(s) - 7*g(s).\nAnswer: -30*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482950801.\nAnswer: 6197, 77933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*x - 1 + 10*x - 4*x**2 in the form r*x + h + s*x**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/19 in -0.01, -5\/7, -22?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30115051 - -9198.\nAnswer: 30124249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**3 + 7*r**2 - 7*r - 7. Let q(v) = 7*v**3 - 5*v**2 + 5*v + 5. Suppose 0 = 10*t - 79 - 41. Suppose 10 = 10*d - t*d. What is d*g(j) - 7*q(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191*f**2 + 15 wrt f.\nAnswer: 382*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Is (326\/j)\/(1\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-574))\/((-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1484 + (-2 - -1)*6. Let q = y + -908. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**4*t))\/(t**(1\/6)\/t)*(t*t**(-4\/3))\/t**(-5) assuming t is positive.\nAnswer: t**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 1.9, 2, -0.21?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x + 76 + 295 = 21 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Let l = j + 0. Let d be l*-3*4\/(-18). Which is bigger: d or 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10150?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let g be u(-5). Let q(i) = -i**3 + 13*i**2 - 13*i + 17. Let x be q(12). Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + l - 9, 6 = 2*n - l - 2*l. Suppose 0*x + n*x = 231. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 21*q + 7. Calculate j(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/8)*s*s**(-2\/3)*s*(s\/(s*s**(1\/3)\/s*s))**11)\/((s**(-1\/3))**(-3\/11)\/(((s*s*s**4)\/s*s)\/(s*s**6))) assuming s is positive.\nAnswer: s**(-937\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15886277 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let n = f + 6.04. Let t = n - -3.96. Which is the nearest to 1? (a) t (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -14*p + 13. Suppose -3*z - 5*i = 6, -p*z - 5*i = 2*z. What is the third derivative of 4*k**2 + 15*k**2 + 4*k**z + 12*k**2 wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5)*g**(-2\/21))\/(g**(-6)*g*g**(-5)))\/(g\/g**(1\/4)*g**(-1\/2)\/g)**24 assuming g is positive.\nAnswer: g**(2951\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412 and 134978719?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10061 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = -1. Let x = -6515 - -6473. Sort x, m, -3\/2.\nAnswer: x, -3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from {x: 8, o: 5, i: 1, w: 4}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + (20 - (5 - -4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -0.145. Let r = -0.125057 + c. Round r to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 19. Let s be w(-22). Suppose -s*d + 275 = 38. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256007747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + -83. Suppose -2*z = -2*v + 88, -11*v - 5*z - 111 = -467. What is the remainder when g is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499668.12 times -2?\nAnswer: -2999336.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-8 - (-58 + 24)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -723*g - 55 - 674*g + 35*g + 130*g wrt g.\nAnswer: -1232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29815937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24334.63677 and 4.\nAnswer: 24338.63677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/10*372*(-156800)\/1680.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -631*h**2 - 35*h*t**3 + 636693*t**3 with respect to h.\nAnswer: -1262*h - 35*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -126*((-14)\/4 + (-9)\/(-3)). Let c be (-262)\/(-6) + 21\/x. Let q = 6 + c. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198449245 to the power of 1\/2, to the nearest integer?\nAnswer: 46888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1 + 0*a + 2*a**2 + 4*a - a. Let h be (-68)\/22 + 2 + 26\/286. Let j(k) = -k**2 - k + 1. What is h*f(s) - 4*j(s)?\nAnswer: 2*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1276*l**2 + 24*l - 3 wrt l?\nAnswer: 2552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 1111*m**3 + 25*m.\nAnswer: 1111*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359853 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12274419487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.088451809 times 2\nAnswer: -0.176903618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.1 times -395?\nAnswer: 12679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12.6, 5, -1, 4\/5.\nAnswer: -5, -1, 4\/5, 5, 12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 558, -9037, 0.15 in descending order.\nAnswer: 558, 0.15, -9037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 33. Suppose -4*v = -w*f - 398, -2*v + 197 = 3*f - 6*f. Calculate the lowest common multiple of (-5 + (-44)\/(-8))*v and 22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(((o**5*o)\/o)\/o)))\/o*o*o**(-11)*o)**(1\/5)*((o*(o**2\/o)\/o)\/o)**(-27)*o**(-2\/15)\/(o*o*o*o\/(o*o*o*o**(-7))*o) assuming o is positive.\nAnswer: o**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*z**3 + 158448*z**2 + 622756*z - 19824 = 0 for z.\nAnswer: -413, -4, 3\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c + c + 0*c)*(-26*c**2 + 5*c**4 + 32*c**2 - 2*c**4).\nAnswer: 39*c**5 + 78*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -663. Let c = 946 - 636. Let q = v - c. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + (-7)\/1. What is the tens digit of 330\/21 - p\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 510\/23, 101, -1\/11?\nAnswer: 510\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*s + 29, -3 = -601*x + 598*x - 5*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 3\/4 (c) 1\/2 (d) -3\/29 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*y - 270*y = -504 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/3 - 46\/10. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94, 151, 196, 223, 226, 199, 136, 31?\n\"Answer: -h**3 + 64*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480000 rounded to the nearest ten thousand?\nAnswer: -3480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 36*q. Let r be o(-5). Let u(s) = -48*s**3 - 202*s**2 - 13*s - 74. Let p be u(-4). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -33\/8*w + 15\/2*w**3 - 27\/8*w**5 - 15\/4*w**2 - 3\/4 + 9\/2*w**4 = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77.7 + -2.7. Let t = 74.7 - j. What is the third smallest value in -0.4, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 29. Suppose 3*g + 28 = v*g. Let i be (-54)\/36 + g\/2. Let m(o) = -o**2 + 3*o + 2. What is m(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 34. Let d be k(-21). Let z(v) = v**2 + 3*v - 8. What is the units digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2385 - 2386.997. Let w = -2 - v. Round w to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 1230380253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/6*(-27)\/(-12). Let m be (n - -4)*40\/28. Solve 8*a = 6*a - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (6 + 10731\/2)\/(1 - (-25)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 2:04 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -6*f. Let c(m) = 5 - 4 + 0*m**f - 6*m - 3*m**2 + 4*m**2. Suppose -3*y = 3*q - 6, 0 = 4*y + 3*q - 1 - 11. What is c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 9. Let d = 3 - g. Solve -2 = -3*i + d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*q + 22867*o**2 - 78*o*q - 23*q wrt q.\nAnswer: 2*o**2 - 78*o - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.8 and 8621.\nAnswer: 75864.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41809, 83622, 125437, 167254?\n\"Answer: c**2 + 41810*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -762\nAnswer: -22\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4338720 and 368.\nAnswer: 4338720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpcphppkhphchhp. Give prob of sequence hpvk.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 - s + 1. Let f(x) = -3*x**3 - x + 91*x**2 - 3 - 94*x**2 + 4*x**3. Let r(d) = -f(d) - 3*n(d). Factor r(i).\nAnswer: -4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine sixths of a week?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (sqrt(1377) + -2))*-3)**2 + -3 + sqrt(1377) + 1.\nAnswer: 34 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwawwawawwwwwawwwaw. What is prob of sequence ww?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36407 = -5*q + 4*i, 11*i - 10 = 6*i. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 348479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2*a\/(a**(-17)\/a) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 53. Suppose -5 = 5*i + 2*s, 3*i - 7*i - 4 = 3*s. Sort -4, i, c in ascending order.\nAnswer: -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6. Is 8 a factor of (32\/6 - q)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Suppose -n*q = -3*o - 0*q + 1344, -o - 4*q + 423 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -971.42283 and -94.42.\nAnswer: -1065.84283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + 10*x**3\/3 + 3*x**2 - 18*x + 164. Let p = 6 + 4. Calculate the smallest common multiple of 12 and z(p).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 43804*j - 43805. Calculate i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/263, -5 in ascending order.\nAnswer: -5, 2\/263, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.5, 3.05, 5, 2.5, 2\/13 in decreasing order.\nAnswer: 5, 3.05, 2.5, 0.5, 2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 11*x - 87. Let c be a(10). Let l(f) be the first derivative of 3\/8*f + 1\/24*f**c - 8 - 1\/4*f**2. Suppose l(s) = 0. What is s?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(4)\/sqrt(2))**2 - sqrt(2) - 3*2*sqrt(2).\nAnswer: -3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 22374*r - 816*r + 1 + 4398*r in the form y + d*r and give d.\nAnswer: -18792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.967 - 0.033. Let t = -5.7 - -6. What is the closest to y in 1\/6, 2, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392904 divided by -3638.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a - 5*w - 20, 24 = 4*a - 4*w. Is a\/(2 - (-153)\/(-77)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -741415 or -741414?\nAnswer: -741414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n + 3. Let q(p) = 7*p + 7. Determine 4*q(j) - 9*r(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -877 + 1239. Suppose 9*b + v = 398. Factor q**2 - 1\/2*q**3 + 1\/2*q**5 + 0 - q**b + 0*q.\nAnswer: q**2*(q - 2)*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 70. 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: Calculate the remainder when 11499 is divided by 759.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 680 + -387. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 30. Suppose -p = -m*p. Let x = 11 - p. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-6)\/8). Suppose 0 = v - 3*v - 20. Let n be (4\/(-10))\/(y\/v). Let l(z) = z + 1. Give l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-45500))\/(3\/21).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3210727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 26) + (-66 - -47) + (38 - (1 + -3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:18 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 19*t + 224 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5766\/(-4805))\/((-603)\/(-15))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393717 + j - 393711 - 393712 + 1181140.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-33))\/(24172\/7378503).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18505729 to the power of 1\/2, to the nearest integer?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*r + 7322 - 5867 + 12669 = -15126 for r.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 669. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608 (base 9) in base 11?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Suppose z + 2 + l = 0. Let w(t) = t**2 + 8*t + 9. What is w(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46124208 a multiple of 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yyytv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 24645.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3549*l**6 - 2*l**4 - 75*l**2 - 10*l - 1 wrt l.\nAnswer: 425880*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10134277 divided by -19\nAnswer: 533383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 + 0.052394?\nAnswer: 142.052394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -6, -11, -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 + -46. Suppose 5*c - 101 - 66 = -2*u, 4*u = -5*c + d. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 13690*p**2 + 109760*p - 219680.\nAnswer: -5*(p - 4)**2*(p + 2746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1304 * 7.\nAnswer: -9128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o)\/(o*o**(-2\/11)))**(-6)\/(((o*o**0)\/o)**(1\/38)*o**(-5)*o**6) assuming o is positive.\nAnswer: o**(373\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 800 or 0?\nAnswer: 800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83 - 3 - 1*(-8 + 4). Suppose 244 - j = 8*i. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -363389*d + 363387*d + 1 - 1. Let t(s) = 201*s + 1. Give q(t(n)).\nAnswer: -402*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3)*z)**32*z**(-9)\/z**(-1\/18) assuming z is positive.\nAnswer: z**(-737\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 3:27 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 30 = 0. Calculate the least common multiple of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10*f - 384. Let z be ((-11)\/4)\/((-8)\/f). Solve 3*l - 5 = -3*n - 2, -3*n = l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -954*p**3 - p**2 - p - 55785.\nAnswer: -2862*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29591953 + 8978300. Let i = 20613651.9000017 + a. Let r = i - -1.1. Round r to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-6)*108945\/(-21520)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 4*i - 11. Let z be a(6). Suppose 5 = 3*q - z. Solve -5*k + 8 = -q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7421 is divided by 225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7065 (base 13) in base 16?\nAnswer: -57732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 21 = -8*m, 134*i - 135*i + 14 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 29022?\nAnswer: 2901a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((22 - ((95 - -6) + 24)) + (6 - -2)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 2*x. Let r be c(-2). Let p be (-12)\/10*r\/(-6). Calculate the remainder when 8 is divided by (6\/p)\/((-4)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 * 214.\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1160629 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(50)*-2)\/sqrt(10) - -4*-2*sqrt(5)) + sqrt(60)\/(sqrt(300)*2) + 4.\nAnswer: -49*sqrt(5)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5*t = -x - 13, 4*t + 6 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - g**3 - 29 + (-3 + 4 - 5)*(3*g - 3*g + g**3).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25053 + -75160\/3. What is the closest to z in 0.2, -0.44, -5?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p + 164*p - 1128 = -232 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2640404 + 3?\nAnswer: -2640401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**8\/420 - 2*o**7\/175 - o**6\/75 + 2*o**5\/75 + o**4\/10 + 2*o**3\/15 + o**2. Suppose w(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4812 + 4948. Calculate the least common multiple of 48 and g.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1815*a + 23 + 1835*a + 19*a**3 - 3648*a to the form p + k*a + u*a**2 + v*a**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83610)\/(-13006))\/(39\/91).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-6)*(-28)\/21*3. What is the remainder when 53 is divided by (2 - (3 - p)) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265813 at most -2265807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -6654?\nAnswer: -6654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -479828741, -959657482, -1439486223, -1919314964?\n\"Answer: -479828741*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (22 + -7 - 8)) + 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(6*(-1 + sqrt(847)) - (4*4*sqrt(847) - sqrt(847)))*-3)**2.\nAnswer: 42768*sqrt(7) + 2471148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 26879 = -l, -4*l - 21154 = 3*r - 971. Let n be ((-70)\/25)\/((9\/3)\/5010). Let j = n - r. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 350. Calculate the lowest common multiple of d(-20) and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*z = -5 - 12, -f + 14 = 4*z. Let l = -725\/42 - -27\/2. Calculate the common denominator of (105\/48 - f)\/((-1)\/10) and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-18 + -33 - -8) + 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.3, 26062, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2717 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**3 + 5*t**2. Let a(r) = -16*r**3 + 4*r**2 + r + 1. Let m(d) = -3*a(d) + 2*s(d). Find the second derivative of m(u) wrt u.\nAnswer: 96*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -161.5. Let v = 82 - o. Let n = v + 6.5. What is the smallest value in n, -2\/13, 3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 351.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 780*r**3 + 31190*r**2 + 60060*r + 29645 = 0 for r.\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - -39969*(-5)\/75. Let q be b\/(-123)*6\/10. Solve 3*l + 3*f = 7*f - 17, f = -5*l - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7307607 is divided by 5678?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (-6 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/12*6*(-14)\/1400*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 18. Let x be d(-14). Suppose -2*n + 31 - 9 = 0. Suppose -n*c = -x*c. Solve -h = 3*q + 4*h + 20, 5*q - 5*h + 20 = c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.58849294 rounded to two decimal places?\nAnswer: 228.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 8*g**2 - 2*g - 7. Let p be w(-8). Solve -2*x - 188*a + 191*a - p = 0, -x - 12 = -4*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let z(o) = 6*o - 4. Give 5*w(r) - z(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -275 + 2?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 22*b**2 + 0*b**4 + 0*b**5 + 0*b + 11\/120*b**6 + 0 - 4\/3*b**3. Differentiate n(x) with respect to x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1) - (-5 - (-279)\/36)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 44861.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = 57. Suppose -8*z + 3*n = -11*z + p, -3*z = 5*n - 34. Solve -z = s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 2090\nAnswer: 39\/2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214 - -240. Calculate the remainder when a is divided by (-7 - -4)*(-6)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 77*j**2 - 6*j - 1. Let c be 45\/36*2*22. Let x(h) = -c*h**2 + 1 + 27*h - 61*h**2 - 18*h. Let p(u) = 8*t(u) + 5*x(u). Let p(s) = 0. What is s?\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 - f**5 - 3*f**5 + (7*f**2 - 8*f + 8*f)*(-2*f**3 - 3*f**2 + 3*f**2).\nAnswer: -13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.045 - 0.044798. Round z to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 - 9*a**2 + a + a + 3*a**3 + 3*a**3 = 0 for a.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.79 to the nearest integer.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and -6.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734580?\nAnswer: 2, 3, 5, 107, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-18)*33\/(-2). Let n be 8\/y - (-41802)\/11. What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/4 - -2*1. Let s(b) = 4*b**2 - 3 + 8*b - 2*b**2 - 4*b. What are the prime factors of s(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(735))\/(1*sqrt(5)*6) + 3.\nAnswer: -7*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23104683 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993665.\nAnswer: 5, 13, 61441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.837 - -0.8. Round y to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = 3*g, 9*h - 4*h + 5*g = 10. Let o be (h\/(-3) - -5)\/(-1). Let j be 33\/6 + 2\/o. Solve 2*i + z - 2 = -z, -32 = 4*i - j*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 6*d + 0*d + 0*d**2)*(2*d**2 - 1 + 1)*(0 + 2 + 5).\nAnswer: 28*d**4 + 84*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 10*t - 1. Let q be c(3). Solve -w = -q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -42, 3, -3, 79 in descending order.\nAnswer: 79, 15, 3, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:20 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*d = -4*b + 35, 3*d - 3*b = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1414 and 327698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s - 8 = 4*h, s - 2 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -23*z - 48. Calculate the lowest common multiple of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) -2 (c) -0.5 (d) 0.061 (e) -0.086 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 21. Let g = q + 89. Let u = 12 - g. Solve u = z + z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57970, -116095, -174354, -232741, -291250, -349875, -408610, -467449?\n\"Answer: n**3 - 73*n**2 - 57913*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37405 - -16312. Is j a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/(-88) - (-5)\/4. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0*j**3 - 5 - 3*j**2 - 7*j + 8 - j**3 - 25. Let h = 17 - 22. Does 21 divide b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 8. Let p be t(5). Let r(u) = u**2 + 3*u. Let w be r(-7). Suppose 4*j = -w + 68. Solve -p*v + 4 = -4*v, j = -3*z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13686840 by 60.\nAnswer: -228114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 2885*h - 2818*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5852 and 56484568.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4070\/15466)\/(55\/(-33))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*a = -3*u + 218, -5*u = -a + 66. Let d = -38 + a. Suppose 3*g - d = 4, -3*f + g + 2225 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -11 - -3) + -1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -18)*(-44)\/121.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - -12) - (17 + -6 + 2 + -13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -114*t**2 - 13. Let o(h) = -342*h**2 - 42. Calculate -2*o(p) + 7*r(p).\nAnswer: -114*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -403, 0.2, 0.1 in increasing order.\nAnswer: -403, -0.14, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1079\/18, -5, 0, -5.297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20 + 0 + 73*w**5 + 46944*w**2 - 46947*w**2 wrt w?\nAnswer: 4380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-28) + 4\/(-180) + (-604504)\/(-1313865).\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6185352 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-51)\/(-918)*-27 - (-2 - (-71)\/(-6)) and (-382)\/72 - 1\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -185. Suppose -4*d + 0*d = 8. Let z be (d + g)\/(10\/(-25)). Solve 0 = -5*t - u - z, -5*t - u = u + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 336*c**2 + 4230*c - 9993. Calculate g(323).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 + 0 = 0. Let j = 388 + -1563\/4. Let a = 21\/8 + j. Is a bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-4 - 5) + 18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -1756\nAnswer: 13\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(-3*h**2 + 4*h**2 + h**2) + (-2*h**2 - h**2 + 4*h**2)*(-3 + 3 - h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.30727 years in months?\nAnswer: 1119.68724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-6) - -2)*9. Let w be (-2 - -3)\/((-1)\/(-5)). Solve r*s + f - 11 = -s, w*f = 3*s - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 229. Which is bigger: v or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*n = -24, 0 = 3*s - 4*s - 3*n + 30. Suppose o + 5*m = -2, -2*m = -0*m. Let j = o + 12. Calculate the remainder when s is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 287344 + 119237 = 112379. What are the prime factors of y?\nAnswer: 2, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q - 32. Let l(a) = -7*a - 128. Let g be l(-25). List the prime factors of u(g).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258366259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2959 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36048389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34467 = -1553*s - 4030 - 22070 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 12*c. Let h be i(-8). Suppose -12 = 4*b + h. What is b rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Suppose 21529 - 21541 = -12*v. What is the nearest to 0 in v, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 342 or 341?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/5 + (10\/25)\/1. What is the tens digit of 1\/4 + y\/80*1004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 5*x + 5. Let c(w) = -w**3 + 3*w - 3. Suppose l + 4 = 0, -4*k - 2*l = 11 + 9. Determine k*y(r) - 5*c(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 17*h + 10. Let b be y(17). Suppose -4 - 6 = -4*a + 2*o, -4*a = 2*o + 10. Suppose b = 2*c - a. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 10, 8, -1\/3, 3, 0.7, -5\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h - 2. Let s(t) = -7*t. Let j be s(h). Let c be (-5)\/(-1)*18\/15. Solve -j - c = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - z - 129, 0 = 6*q - 3*q - 5*z - 73. Suppose 2*x - 4*v = q, 3*x - 1 - 30 = 4*v. Find the first derivative of -2*f**2 - x + 3 + 1 wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-3*-1*sqrt(6)) + sqrt(25)\/sqrt(320).\nAnswer: 11*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15722000 rounded to the nearest one hundred thousand?\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*-1*-2)\/sqrt(9)*5 + (sqrt(99)\/(sqrt(81)*-1 + sqrt(9))*-3)**2.\nAnswer: 99\/4 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - g = 8, -3*l = -2*l + 4*g + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27610 + 18770. Round u to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314285536 rounded to the nearest one hundred thousand?\nAnswer: 314300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42358257*b*g**3 + 64*b*g**2 + b*g - 152*b - 2*g**3 - 126*g**2 - 1 wrt g?\nAnswer: -254149542*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s + 4*q + 11, 0 = -2*s - q - 2. Let f be (-2)\/(0 - -2) + 2. Let u be (-3 - (-2)\/f)*-23. Solve 5*k - o = u, -12 + s = -2*k + o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 430*y**2 + 172 + 176 - 348 in the form j*y**2 + r*y + n and give j.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - (-11620)\/33124. Let j = 15335\/676 + m. Calculate the common denominator of j and (-10)\/23*(-4)\/(-8).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/600 - b**4\/120 - 6*b**2. Suppose a(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.0324 millimeters in nanometers?\nAnswer: 858032400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*s + 3)*(2*s - 4*s + 4*s) + 2*s**2 - 3*s**2 + 0*s**2 + (0*s - 3*s + 2*s)*(765 - 765 - 94*s).\nAnswer: 89*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from ebkvzebbbbvbzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17543409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57\/200 + 4\/25. Let r = 3.2 - 34.2. What is the second biggest value in o, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.0201 microseconds to milliseconds.\nAnswer: 0.0220201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -29647*p + 5*p**2 + 15325*p + 15027*p = 0.\nAnswer: -141, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122000220202 (base 3) in base 12?\nAnswer: -14203b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 467730 - 467730.2217717. Let z = -0.23177171 - q. Let l = z + 0.01. What is l rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(8\/3)*r*r**(-3\/4) assuming r is positive.\nAnswer: r**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, w: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(((-2)\/4)\/(3 + -5)). Suppose 4*g + 104 = o*g + 4*d, 38 = 3*g - 5*d. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149315885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, 199.7 in increasing order.\nAnswer: 0, 1\/4, 199.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Suppose -39 = -y*m + 9. Let q(g) = 3*g**2 - 40*g + 29. What is the remainder when q(14) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 91*g**3 - 10 - 146*g**3 + 93*g**3 + 3*g**4 + 7*g**2 wrt g?\nAnswer: 48*g + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -20.7. Let f = t + 0.2. What is the nearest to 3 in 5, 0.1, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 16183439 to the nearest ten thousand.\nAnswer: 16180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 2*s + 16. Let c be a(5). Let u be 120\/(-136) - 10\/85. Sort 5, u, c in decreasing order.\nAnswer: 5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x**4 + 0*x + 32*x**2 + 106 - 64\/3*x**3 + 16\/5*x**5 - 2\/3*x**6. What is s in v(s) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1042*y - 5207. Let i be j(-5). Let s(u) be the third derivative of 0 + 2\/3*u**i + 0*u - 1\/24*u**4 - 26*u**2. Calculate s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808 and 6580640?\nAnswer: 664644640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1019*w + 697*w**4 - 1957*w**4 - 1093*w**4 wrt w.\nAnswer: -28236*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/24 + 2*l**3\/3 + l**2 - 3*l - 6. Let y(z) be the second derivative of d(z). Determine y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/7 + 380*i**3\/7 + 18426*i**2\/7 + 35720*i\/7 + 17672\/7.\nAnswer: 2*(i + 1)**2*(i + 94)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -78*b**7\/7 - 352*b**6\/5 - 241*b**5\/5 - 2*b**4\/3 + 16*b**3\/3 - 3*b + 34. Suppose f(a) = 0. What is a?\nAnswer: -4, -1\/3, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/2 and 55\/338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.42 and -0.05 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -892 + o - o**2 - 8*o**4 + 2*o**3 + 0*o**2 - o**4 + 923 as z*o**2 + w + n*o**4 + m*o + q*o**3 and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*q = 478*q - r - 6, -3*r = -39*q + 306 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1289 + -1235. Calculate the remainder when p is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/411955566 and 61\/54?\nAnswer: 3707600094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.6 - 5.3. Let g = h + 14. Let f = 4.1 + g. What is the second biggest value in 4\/3, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*((sqrt(68) - -3*sqrt(68)) + sqrt(68) - sqrt(68)) + 4*sqrt(68)*2)\/((6*sqrt(60)\/sqrt(3))\/(sqrt(5) - sqrt(80)*2)).\nAnswer: -28*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1516 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i. Let c be u(-1). Suppose 30 = 2*g - b + 3*b, -c*b = g - 11. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(256) + sqrt(4)) + -3.\nAnswer: -3 + sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27427339 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-2039 + 2039 - 120*x**2 + (x - 3*x + 3*x)*(-5*x + 0*x + x)).\nAnswer: 248*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639 and 1404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(4\/16 + -1). Let h be 40000\/3*l\/1. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(5\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 46*t**3 + 6*t**2 + 5*t + 117. Let k(v) = 55*v**3 + 8*v**2 + 6*v + 119. What is 5*k(i) - 6*z(i)?\nAnswer: -i**3 + 4*i**2 - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2 - 2 + 2*r. Let j(p) = 813 - 16*p - 813. Calculate f(j(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2522714 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, -11\/8, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/160 - s**5\/80 - s**4\/16 + 3*s**2. Factor b(l).\nAnswer: 3*l*(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -39. Put -2\/5, -4, r in descending order.\nAnswer: r, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*f + 98 = 0, 5*f + 12 = -8. Calculate the common denominator of (-450)\/(-176) + 10\/v and (-1 + (-58)\/9)\/3.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/4473 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 + 6*p - 6. Let k(g) = -g**3 - 9*g**2 - 8*g - 5. Let i be k(-8). Does 14 divide h(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200594257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 601.6 - 602. Sort -1, -0.22, y, 0.3.\nAnswer: -1, y, -0.22, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) 56 (c) -4\/3 (d) -1\/6 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -152, -220, -282, -338, -388, -432?\n\"Answer: 3*j**2 - 83*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -6.93. Let k = -47 + 54. Let j = m + k. Sort j, -2, -2\/3 in ascending order.\nAnswer: -2, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5177169, 5177128, 5177085, 5177040, 5176993?\n\"Answer: -h**2 - 38*h + 5177208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -5*f**2 + 38*f + 156. What is the remainder when 36 is divided by z(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 6*m - 4*m**2 + 5*m + m + 2*m**2.\nAnswer: m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1168.5 + 1169. Let q = 0.4 - -1.6. Let u be (-11)\/(-3) + (-2)\/3. What is the closest to q in -1, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, t: 1, e: 4}. Give prob of picking 2 q.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h + 1. Let v be d(-1). Suppose 8*j = 4*j - 8. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*z**3 - 522*z**3 + 315*z**3.\nAnswer: 82*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 1332*f**2 + 59290*f + 683376 = 0.\nAnswer: -619, -24, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52481444*l**5*p**2 - l**3 + 1401*l**2*p**2 - 44525*l**2 - p**2 wrt l.\nAnswer: 3148886640*l**2*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfff when four letters picked without replacement from fczzfzfzz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from fwiwfeifceeecwcii?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 4*c + 2*k, 3 = k + 5. Solve -14*f - 15 = c for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is the smallest common multiple of 18 and 255666?\nAnswer: 766998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Let z be 12 + 0 + (-3 - -3). Suppose 4*t + 0*t = 0. Solve t*h - 5*f - 7 = 4*h, 3*f - z = p*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6\/10 + 8 + 654\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 8. Let m be l(0). Suppose s - m = -0. Let o = 10 - s. Solve -o = -c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 2*y. Let i = y - -1. What is the third derivative of -3*o**5 - 6*o**i + 4*o**2 + 3*o**2 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742, -833, -934, -1051, -1190, -1357, -1558?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -x + 2. Suppose -x = -0*p - 4*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5*f**3\/3 - f**2 + 3*f - 20. Let b = 6 - 2. Let w(r) = -11*r**2 + 4*r - 7. Calculate b*w(i) + 9*t(i).\nAnswer: i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*q + 3*u, q + 0*u = 3*u + 26. Let d(g) = g**3 - 23*g**2 + 8*g - 28. Calculate the remainder when d(23) is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-4*1\/(-5))\/(9828\/189).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90 - (1 + 1))\/((-2)\/5). Let m = y + 1103. Suppose 5*r + 278 = m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 423 = 33*s. Let r = -137 - s. Solve 3*i = -r*x + 22, -5*i + 15 = 3*x - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6*d + 96. Let c be -5*(-1 + (-2)\/((-40)\/d)). Suppose 0 = -c*q + 11 + 3. Calculate the greatest common divisor of 49 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5484, 10967, 16450?\n\"Answer: 5483*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let p be ((-6)\/(-3))\/(2\/(-3)). Let r be l(p). Suppose 4*i + 3*w + 5 = -0*i, -4*w = -2*i + 14. Solve -3*a + i = 7, -r*q = 4*a - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*t + 3*t - 59, -2*t + 76 = -3*b. Let v = b - -166. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2414*f - 289686. Determine q(-120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 234746.\nAnswer: 52113612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, v: 5}. What is prob of sequence sv?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s - 6*s. Suppose -2*a - 2*d + 54 = s, 2*d - 63 = -3*a + 14. What is the remainder when 206 is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -347200?\nAnswer: -1\/347200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/(-1464)*8\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*b + 103*b - 778*b + 39508 = 195*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/24*83\/(34528\/192).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - (-8 - 3)) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -9\/4, -3, 1\/5, 5\/3, -59359?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238467, 476969, 715481, 954003, 1192535, 1431077?\n\"Answer: 5*i**2 + 238487*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -199*g**2 - 5*g + 5. Let q(r) = 23183*r**2 + 582*r - 582. What is -582*k(s) - 5*q(s)?\nAnswer: -97*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1032212886*g**3 - g**2 - 3*g + 148618592.\nAnswer: 6193277316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 1 - 4 + 3 - 3. Let a be d(-4). Let i be a - (78\/22)\/(-3). What is the second smallest value in 1\/4, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n - 11. Let u be h(9). Let i(r) = r**2 - 8*r + 7. Let t be i(u). Solve 4*c - 8 = -t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = -5*v + 35, 0 = -5*v + m + 10. Let t(s) = -5 - v*s - s + 3*s + s**3 + s**2. Let g(d) = d + 9. Let b be g(-9). What is t(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27871 divided by -147.\nAnswer: 27871\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnneineiingng. Give prob of picking 3 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/((-2)\/(-1)))\/((-65919)\/(-511)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 - 32*s + 3. Determine a(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663100.\nAnswer: 2, 3, 5, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*u + 17381, 2*u - 28967 = -7*v + 2*v. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 137*q**2 - 2808*q - 206. Calculate x(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2\/4 + 885*j\/2 - 5265\/4 = 0. Calculate j.\nAnswer: 3, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.41 + -3.59. Let v(r) = r**3 + 5*r**2 + 4*r - 4. Let y be v(-2). Which is the closest to s? (a) -0.5 (b) 1 (c) 5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 41*h**2 + 1510*h + 10490. What is b(-7)?\nAnswer: 1929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25544156189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = -12. Suppose 676 = 7*j - u*j. Let a = j + -111. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -132, -199, -266, -333, -400?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*(-2550)\/(-42840)*6\/10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 103506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - o = 27, 3*s + 0*s = o + 38. Solve s*q - 5*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*a**2 + 647254*a + 337704.\nAnswer: -(a - 28142)*(23*a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-3 + 1)\/2). Let q = -14 - -14. Suppose 4*m - 12 = -4*j, q*j - 4*j + 26 = -3*m. Solve -20 = -j*d - c, 3*d - s*d - 5*c = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 14. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1467753790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (19 - 7)\/(2 + 0). Let m be -823*x\/66 + 2 + 2. Let g = m - -71. Which is the biggest value? (a) g (b) 4\/5 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Suppose -t*x + 6 = -2*y, 5*x - y - 7 - 4 = 0. Suppose x*p - 1 = 3. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/3968664 and 115\/1133904?\nAnswer: 7937328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 35138586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41 and -7.41.\nAnswer: 33.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724758 is divided by 2561.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158640 divided by -80.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/6*18\/4. Factor -l - 11*l**2 - x + 9*l**2 + 3*l**2.\nAnswer: (l - 3)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 36481*t**5 + 127397*t**4 - 781846*t**3 - 2030870*t**2 + 4761381*t + 5919489 = 0.\nAnswer: -811\/191, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 3*n - 5. Suppose -l = 0, -3*k + 2*l + 24 = -2*l. Let v be p(k). Suppose 24 = -5*c + v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2016 and 118243776?\nAnswer: 354731328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -437715825 divided by -87543165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*s. Let p(b) be the third derivative of 1\/40*b**6 + 0*b + b**2 + 0*b**3 + s + 1\/60*b**5 + 0*b**4. Factor p(w).\nAnswer: w**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(3) + sqrt(44)\/sqrt(4)*-3 + ((sqrt(1584) + -1)**2 - (2 + (sqrt(33)\/sqrt(3))**2)).\nAnswer: -26*sqrt(11) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(12\/(-5) - -3). Solve 19*n = u*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + s + 0 - s**3 + 3 - 3*s**2 + 7*s**2. Calculate i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/49060 and -59\/9504.\nAnswer: 10596960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3606.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*f - 63 = 548*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 0*d - 4*d, 2*t = 3*d + 4. Let y be (((-18)\/(-10))\/3)\/((-7896)\/(-1880)). What is the second biggest value in y, t, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/3 - -1) + (2 - -106). Let z = j + -740\/7. Which is the fourth biggest value? (a) 11 (b) -2\/3 (c) z (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 69126?\nAnswer: -2\/34563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533\/18 - 154\/9. Determine r, given that -5 + 15*r**2 - 25*r**4 + t*r - 55\/2*r**3 = 0.\nAnswer: -1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 - (20064\/(-72))\/38. Let c = -25 - -25.9. What is the fourth smallest value in -1\/2, v, 3, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + 30450?\nAnswer: 30463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280.1 - -285. Let s = 4.90000156 - o. Round s to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/8 + 649*o**2 + 22565*o\/8 - 8675\/4 = 0.\nAnswer: -5, 2\/3, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (38 - (6 + (-3 - -6 - 2)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*c - 9 = u, 5*u + 29 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3303\/14 - -236. Which is the third biggest value? (a) -2\/3 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075*-0.08.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 352002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 4*u + 2. Give b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from {u: 1, r: 1, m: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17171, 17175, 17181, 17189, 17199, 17211?\nAnswer: 17225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0 = 13. Let f = 18 + l. Let u = 6 - -7. What is the remainder when u is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (52\/8)\/((-27)\/(-25758)).\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -349700? (a) 0.5 (b) 3 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027372 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37722, 37412, 36882, 36138, 35186, 34032, 32682?\nAnswer: 31142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.5689 to 1 dp.\nAnswer: 198.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhhhfdxh. What is prob of sequence hh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8)*n)\/n*n*n**30)\/(n**(-21\/8)*n*n**(-4\/21)*n) assuming n is positive.\nAnswer: n**(4001\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 68*h - 141*h + 96*h)*(1 - 2 - 1).\nAnswer: -46*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-3)\/((-15)\/(-10)). Sort 3, z, -3.\nAnswer: -3, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {q: 1, m: 1, g: 5, l: 3, i: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/((-5)\/(-12)))\/((-1)\/215)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(5\/(-80)*6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(1*-2*1))\/((-1683)\/(-13464))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*n**2 + 2*b**2 - 105534*b*n**2 - 3316676*b - 7*n**2 + 2 wrt n?\nAnswer: -2*b**2*n - 211068*b*n - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 5:06 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u. Let b(f) = -25697*f. Calculate b(l(x)).\nAnswer: 102788*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 3. Let y(i) = -148*i - 9. Give -2*s(g) - y(g).\nAnswer: 152*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 360 = 3*z. Let r = 13 - 10. Suppose n + r*s - 13 = 17, 5*n - 182 = s. What is the highest common divisor of z and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 80*x = 0. Solve x = -2*i + 2*h + 2, 0 = i - 5*h + 9 - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.6 + -33. Let i = 0.6 + -1.6. Sort w, -2.1, i in ascending order.\nAnswer: -2.1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-66) + (-10)\/6. Let j be 9200 + y\/(-5)*0. What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 10 + 9*o - 15*o + 4*o + 36 - 9.\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaaaavvvaa. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 2419820 = -122001. What are the prime factors of f?\nAnswer: 87649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2))**(-3\/2)\/(t\/t**(2\/5)*t*(t\/((t\/t**11*t)\/t)*t)\/t))**35 assuming t is positive.\nAnswer: t**(-1449\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117315 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44659, 44653, 44643, 44629, 44611, 44589, 44563?\nAnswer: 44533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*b - 32717, 11*r - 4 = 7*r. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 88 = 6*g. Let x(p) = -5*p**3 - 6*p**2 + 7*p. Let b(r) = 9*r**3 + 11*r**2 - 13*r. Determine g*x(v) + 6*b(v).\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (sqrt(700)*2 + sqrt(700))**2 + (sqrt(7) + (sqrt(7) + sqrt(1008) + -1)**2 - (sqrt(7) + sqrt(14)\/(sqrt(2)*-1))) + -4.\nAnswer: -25*sqrt(7) + 7473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - 46*n**3 - 3*n - 4*n**2 - 3 - 2*n. Is b(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 1. Calculate the least common multiple of z(-6) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 16021.\nAnswer: 176231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -116 * -0.0836\nAnswer: 9.6976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 3\/8, 4\/11, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 208849 + 240558. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/8 + (-137 - -137)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 3 - 5 - 7*q**2 - 17 to u + t*q**2 + i*q and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 730 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66059056.\nAnswer: 2, 7, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0161776 kilometers?\nAnswer: 16177600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.202 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 220\/(-25) - (-1)\/((-30)\/(-24)). Find the common denominator of (-27*3\/1416)\/(4\/w) and -121\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 - 186*c**4 - 4648*c**3 - 31488*c**2 - 23616*c + 213408 = 0.\nAnswer: -57, -26, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14762 (base 8) in base 4?\nAnswer: 1213302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11243143?\nAnswer: -11243144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 93*h + 90*h = -35, 7 = h. Solve 0 = 18*w - q*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487 - -9\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1240*a**2 - 5098*a + 14051. Calculate g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 - -150. Solve 4*z - 4*c = -7*c - 11, 5*z - l*c = -37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1650*v**2 + 2*v**5 - 5*v - 1651*v**2 - 5*v)*(33 + 8 - 4).\nAnswer: 74*v**5 - 37*v**2 - 370*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 16*p - 12. Let x be t(-25). Let z = x + 491. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 51. Suppose 10*w - 7*w + 3 = i. Calculate the common denominator of 19\/40 and (63\/48 + w)*20\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*u = 308 + 73, 0 = -3*f + 4*u + 1139. What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*s**3 - 275*s**3 - 9*s**3 + 499 + 43*s**3 - 2*s**4 wrt s?\nAnswer: -8*s**3 - 555*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 4\/7*f**2 - 56 = 0.\nAnswer: -14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 6*b**2\/7 + 92*b\/7 - 48\/7.\nAnswer: -2*(b - 2)*(b + 3)*(7*b - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1293.602mg?\nAnswer: 1.293602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5880\/(-196))\/((63\/70)\/(15\/(-10)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 9:00 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -257, -390, -525, -662, -801?\n\"Answer: -v**2 - 128*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03952 + 0.96048. Which is the closest to -0.1? (a) w (b) 1\/9 (c) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48552 + -137?\nAnswer: 48414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 1182 - 4192. Let y = 939 + u. What are the prime factors of y?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 0 + 5, -7*v = -2*w + 31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -107, -196, -285, -374?\n\"Answer: -89*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f + 328. Let u be t(-25). Let a(n) = 11*n + u - 1 + n**2 - 7*n + n - 9*n. Calculate a(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248.81 + 250.01. Put 3, -1\/6, 12, d in ascending order.\nAnswer: -1\/6, d, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-4)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (-69)\/(-6) + (-18)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 28, 76, 162, 298, 496, 768?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (-12 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + (-133)\/38)\/(-2 + (-7)\/(-2)). Solve -2*g - 18 = -2*y, 40 = t*y - 2*y - 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 574*i**2 - 89*i - 90. What is p(-1)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1152 times -27.92\nAnswer: -32163.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 + g - 3. What is n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + u - 1. Let o(k) = 16*k**3 - 3*k**2 + 3*k - 7. Determine o(z) - 3*t(z).\nAnswer: 19*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**13))*x\/((x**(-14)*x*x)\/x))**(-7\/11)\/((x**2)**(1\/77)*x**(-1\/9)\/x**(2\/7)) assuming x is positive.\nAnswer: x**(-12091\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271957 is divided by 57816.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 180917392, 180917389, 180917386, 180917383, 180917380?\n\"Answer: -3*a + 180917395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/14 - (-11)\/1155*-15. Let v(j) be the second derivative of 5\/12*j**4 - 5\/3*j**3 + 0*j**2 + p + 1\/4*j**5 - 12*j. Factor v(i).\nAnswer: 5*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-14))\/((-972)\/1134)*(-2)\/(-35).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3321 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2858107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 36 + 9 = 0. Which is smaller: k or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3317 = 158*c - 80*c - 178583. What is the greatest common factor of c and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*(-15)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.64 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 13*y**2 - 9*y + 9. Let g be s(-12). Let m be 2\/(-9) + (-114)\/g. Let q = 0.3 - -0.7. Put q, 0.3, m in decreasing order.\nAnswer: m, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5.91. Let x = -0.22 + k. Let y = x - 0.09. What is the nearest to 0 in -0.5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.3 (c) -0.2 (d) 0.862\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*(-434)\/217.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 6*r + 6. Let c be (-4)\/3*(-18)\/4. Give z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1252145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21810 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1301763520 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1406 times 15434\nAnswer: -21700204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11308*l - 2510343. What is m(222)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053386 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*y, -2*y - 5*w = -0*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7709 + 7713.6982. Let y = -72 - -76.7. Let i = y - d. What is i rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10870.\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**3 - 22*f**3 - 12*f**3 + 14*f**2.\nAnswer: -2*f**3 + 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 28. Let h be 2*(2 - 60\/k). Suppose -2*l - 2*x + 10 = 0, -6*l + h = -l + 3*x. Solve 3*t + l = -3*r - 1, -t - 11 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**4\/12 + j**3\/2 + 5*j**2 - 13*j. Let t be f(-6). Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) 1.7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675 = 5*k + 120. Let d be (-2 - k\/3)\/(-1). Let q be (9\/3)\/(6\/52). What is the greatest common factor of d and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-60)*112\/(-14))\/14?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4, 3, -9, -82, 1 in descending order.\nAnswer: 4, 3, 1, -9, -29, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11001100101110?\nAnswer: 11001100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-3)\/6 - (-90)\/4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1812436*y**4 - 3315211*y wrt y.\nAnswer: 21749232*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**3 - 3*w**2 - w + 9. Suppose 0 = 5*g - 20, -6 = 3*d - 5*g + 26. Let k be 1 - 206\/30 - d\/(-30). Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f + 8. Let b = -0.2 + 0.3. Sort 3\/2, b, f.\nAnswer: f, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, -1.5, -4002, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -k - p, 32*k + 3*p - 1192 = 28*k. Is 302 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.74*12\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -710, 0.1, -19\/7, 0.3, 1.\nAnswer: -710, -19\/7, -2\/9, 0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 3. Suppose 10 = -j + 4*g - 2, -5*g = -5*j - 15. Let y be x(j). Suppose -3 - y = 2*p. Which is the nearest to -1? (a) -5\/4 (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, 4, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1413, -2233, -3051, -3867, -4681, -5493?\nAnswer: -6303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6717 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20884, 41745, 62596, 83443, 104292, 125149?\n\"Answer: j**3 - 11*j**2 + 20887*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10) + 3\/(-2). Let s be m\/(-1)*(-1 + 3). Solve -s*t = -t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21469 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 834978*d**3 - 5009940*d**2 - 10019928*d - 6679968.\nAnswer: 3*(d - 278332)*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58 and 0.208421?\nAnswer: 57.791579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -926\/11, 2\/13, 0.3, -5?\nAnswer: -926\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*a + 185*a = -7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220054.33 rounded to the nearest 1000?\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -86. Let k = 2 - 2.4. What is the closest to 2 in -1\/5, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169620 and 24.\nAnswer: 339240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 3346 = 2*t, 2*z - 1658 = -2*t. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 5, -5.\nAnswer: -5, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(147) + sqrt(3))**2 + 2)*-4 + (4 + (sqrt(3) + -1)**2)*-6*-2.\nAnswer: -716 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:17 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -77*x - 6. Let g be n(-7). Find the third derivative of 10*v**2 + 533 + 10*v**6 - g wrt v.\nAnswer: 1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239386 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1)\/((-3)\/12). Suppose 6*d - 4 = 32. Solve -k*x = -d*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4818 and 34602?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x - 4*t = -43*x - 2364, -x + 8*x = 8*x + t + 36 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8059*n - 728 = 7968*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1*3\/(-3). Let b be (o - 0) + -1*47. Calculate the common denominator of 59\/2 and 1\/2*b\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228974798 and 598.\nAnswer: 228974798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 10*v**2 - 2*v - 6*v**2 to q*v**2 + x*v + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (-1 - (-7 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5341109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 20*o - 74*o. Let q(t) be the second derivative of 0*t**2 + 0 + 1\/2*t**3 + o*t**4 - 3*t + 1\/4*t**5. What is the second derivative of q(j) wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 2, l: 1, n: 2, k: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/6 - 14*i. Let t be (-3)\/4 - 124\/(-16). Let c(d) = -4*d + t - 7 - d. Calculate c(u(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(242)*6 - ((sqrt(16) + sqrt(144))*5)\/sqrt(8)*3.\nAnswer: -126*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 + 5*j + 6. Let l be g(6). Suppose -2*a = 3*a. Factor 0 + a*v - 2\/9*v**4 + l*v**2 + 2\/9*v**3.\nAnswer: -2*v**3*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 5. Let w be j(-10). Let x be 6\/w + 13\/5. Solve -3*s + x*l = 0, -l + 5*l = -2*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*l, 3*o - 2*l + l = 14. What is the lowest common multiple of -6 + -9 + 20 + -3 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 45 = 3*d. Suppose -13*t + 195 = -0*t. Is t less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 4*b**2 - 3*b**2 - 3*b**2 as r + o*b**2 + q*b and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -5, -17\/6, -6, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from craaavc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 15, k: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s + 8*s - 4 + 5*s - s**2. Let k be t(5). What is the third derivative of x**2 + 38*x**5 - 38*x**5 + 4*x**6 - k*x**2 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w + 71. Let k = 42 + w. Solve 3*f + 3*s = -2*f + k, -3*f - 3*s = -12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o**5 + 0*o**4 + 0*o**6 + 0*o - o**3 + 3 - 5\/7*o**7 + 0*o**2. What is the third derivative of u(p) wrt p?\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 11*h + 5. Let s be m(11). Let f = -299 + 301. Sort -3, -2, f, s in descending order.\nAnswer: s, f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/6*-5*6\/30\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:54 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143021334 + 1420?\nAnswer: 143023304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from ctwdtheew?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -10, 2*a - 28*m - 2 = -33*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 13) in base 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, h: 2, v: 2}. Give prob of picking 1 e, 2 h, and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -18*2\/(-3). Let u = 16 - z. Suppose 0 = -u*g + 3*g + 62. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 8. Let f(j) = 14 + 3*j + 13*j - 5 - 12*j. Let v(s) = 6*c(s) - 5*f(s). Let t(q) = -q**3 - 12*q**2 - 10*q + 16. Let d be t(-11). Calculate v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/3 - 2642312*x + 1309089882252.\nAnswer: 4*(x - 990867)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/((-34)\/153)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76.9 + -235.1. Let p = 313.49 + z. Let i = p + -1.5. Round i to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15461*n**3 + 3*n + 8560*n**3 - 24018*n**3 - 3*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -z + 3*v, -5*z + 490 = 3*v + 2*v. Suppose 3*d = -z - 36. Let q = -13 - d. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r**(-2\/5)*r*r*r))*r))**(-1))**(1\/11))**9 assuming r is positive.\nAnswer: r**(117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -26*x**2 + 59*x - 19. Let d(i) = 57*i**2 - 116*i + 39. Let b(q) = 4*d(q) + 9*y(q). Determine b(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 152*s - 82*s - 77*s + 2. Let m(g) = 14*g**2. Let h be m(1). Suppose h = 3*q + 2. Let k(t) = 3*t - 1. What is q*n(f) + 9*k(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16 (b) 1.2 (c) -2\/5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11956884659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 44*g**2 - 350*g + 418. Give f(-33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28096387 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7 - 1. Let j = 327 - 285. Let d = -61 + j. Sort d, 3, w in increasing order.\nAnswer: d, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1968 - -1973. What is the nearest to 11 in 2, 0.4, 6\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1316, -3602, -6854, -11066, -16232, -22346, -29402, -37394?\nAnswer: -46316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 2*i = 18, 1103*s - 1104*s + i + 9 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7733 by 37.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38822006 or -4?\nAnswer: -38822006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34285\/4 or -3\/44?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9*g = 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -486199, -972368, -1458533, -1944694, -2430851, -2917004, -3403153?\n\"Answer: 2*j**2 - 486175*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*d - 13 = 0, 4*y - 5*d = -6*d + 11. Suppose 1488 = 3*b + r, y*b + 6*r - 2*r - 1976 = 0. What are the prime factors of b?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 1. Let f(y) = -51*y - 17. Give -2*f(m) - 34*r(m).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 5\/4*a**4 - 10\/3*a**3 - 24*a + 0*a**2 + 0. Find the second derivative of g(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26155, 104576, 235267, 418228, 653459, 940960?\nAnswer: 1280731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 8:38 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 1 + 1)*(-663*v - 84*v + 1855*v).\nAnswer: -4432*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0)*(-14 - -13). Let g(r) be the second derivative of 3*r**q + 0 - 1\/2*r**3 - 1\/4*r**4 + 7*r. Factor g(z).\nAnswer: -3*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.5, -0.005, -3 in ascending order.\nAnswer: -3, -4\/7, -0.5, -0.005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -418, -397, -356, -289, -190?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1638*i**2 - 1105*i**5 - 630*i**2 - 754*i**5 + 199*i**5 wrt i?\nAnswer: -99600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13203984 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/8 + 58671\/65928. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 7*h + 4*h)*(-106 - 210 - 73 - 160 + 391).\nAnswer: -948*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 + 121*n\/4 - 5.\nAnswer: -(n - 20)*(6*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -26*u**3\/5 + 592*u**2 + 6488*u\/5 + 928\/5 = 0.\nAnswer: -2, -2\/13, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b - 4*b**3 - 8*b**2 - 20*b + 32*b + 1 - 5 - 23*b as j + h*b + w*b**2 + u*b**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 369000\/211068 + 72\/44\nAnswer: 44\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 11 = 3*w - 4*w, -5*w - 75 = -5*h. Let y be (-21)\/28*1*8. Let c = y - w. Calculate the lowest common multiple of c and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 4. Let b be t(-3). Suppose 498 = b*w - h, 0 = 7*w - 3*w - h - 399. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + a**2 - 13*a**2 - 1 + 7*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9714662 is divided by 253?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 9. Let d be o(7). Put d, -3, 1 in increasing order.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260885 minus 50?\nAnswer: -260935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00625898 rounded to five dps?\nAnswer: -0.00626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -187, -215, -265, -343?\n\"Answer: -r**3 - 2*r**2 + r - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z. Let a(x) = 6985*x. Calculate f(a(s)).\nAnswer: -48895*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(891) - (sqrt(891) + sqrt(891) + 4)) - ((-3*sqrt(704))**2 + sqrt(704)).\nAnswer: -6340 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 21. Let h be m(10). Let v(x) = -h + x + 1. Let f(d) = -2*d**2. Determine f(v(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -c + 4*t - 7, 8 = -3*c - t. Is 89\/(-3*1\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose 3*f = 3*p + 36, -x*f + 54 = -0*f - 2*p. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 5*q**2 + 5*q + 2. Let u(o) = o**3 + 4*o**2 - 4*o - 1. Let d(a) = 3*r(a) + 4*u(a). Let k be d(0). Suppose -k*v = -5*v + 159. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 10, 16, 22, 28, 34?\n\"Answer: 6*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 8 = -4*n + 4*r, 2*n - 3*r = -14. Let m(b) = b - 3. What is m(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t**4 - 17*t**3 + t**2 - 231*t - 4898705?\nAnswer: 20*t**3 - 51*t**2 + 2*t - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1250032 and 1484.\nAnswer: 66251696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - h + 69 - 23 - 28 + 6.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -62, -94, -126, -158?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 62*h - 418 = -63*p, 0*p - 2*h = -4*p + 154 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 * -0.005.\nAnswer: 0.000235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*x**3 + 25*x**3 + 28*x**3 + 17*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 20 + 22 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159858545 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 836 = 276. Let b be 4\/(-5)*300\/u. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*(3 + sqrt(847)))**2 + -4*(3 + sqrt(847)) + sqrt(847))*-3.\nAnswer: -10239 - 693*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14516 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 - -315. List the prime factors of u.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 + -2 + (-20 - -16). Put 4, u, -6 in descending order.\nAnswer: 4, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7480, 27753, 61542, 108847?\n\"Answer: 6758*i**2 - i + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6 - s**2 - 2*s**2 - 7*s + 3*s**2 - s**2. Suppose 0 = -4*d - 10 - 10. Give x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*-4*9\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 1086*u - 1091*u, -68804 = -3*x + 5*u. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441731858 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -368 divided by -16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -99. Suppose j*y - 60 = -39. Suppose -v + 30 = 2*v. Calculate the remainder when v is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3112 - -3210. What is the greatest common divisor of 581 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/8)\/(s*s**(-5)) assuming s is positive.\nAnswer: s**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 40.9\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.081 (c) 0.2 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m)\/(m\/m**(-1)*m)*m**(-7)*m\/(m**1*m)*m*(m\/(m\/m**(-1\/2))*m)**(-26)\/(m*(m*m**(-4))\/m*m\/(m**(5\/3)\/m)*m*m) assuming m is positive.\nAnswer: m**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(6)) + sqrt(6) + sqrt(42)\/(sqrt(21)\/sqrt(3)))\/((sqrt(18) - -1*sqrt(648))\/(sqrt(216)*-2)) + 3.\nAnswer: 3 + 204*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 79 + s + 88 + s**2 - 171. Suppose 5*f + 3*i - i + 15 = 0, f = -3*i - 3. Calculate v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10114442*-0.4.\nAnswer: -4045776.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 169284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + -4994*101\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101)\/(276437\/(-230)))\/((-10)\/(-84)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 666.05 + -666. Let g = z + 0.05. What is the nearest to g in 4, 16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12695241*z**3 + 4*z**4 - 12695241*z**3 + 64*z - 2*z**2 + 5*z**2 in the form l*z**4 + x*z + r + i*z**3 + s*z**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6266*h**2 - 3136*h**2 - 3137*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/565? (a) 0.1 (b) -6 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7342437816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-12)*-190*45\/(-2250)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 + 3*l - 15. Let k be x(6). Let h be (24\/(-15))\/(k\/(-15)). Find the third derivative of -h*c**2 + 4*c - 6*c**5 - 15*c + 11*c wrt c.\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*b + 3*k + 17 - 43, 17*b = -9*k + 123 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 41*t - 12. Let k(j) = -50*j + 13. Let v(b) = 5*k(b) + 6*l(b). Let d(w) = 3*w + 6. Determine 5*d(s) + 4*v(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14920)\/(-160) - 93) + (-45)\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/13, -0.05, 0.2?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 210427, 420879, 631331, 841783?\n\"Answer: 210452*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 21, 60, 123, 216, 345, 516, 735?\n\"Answer: n**3 + 3*n**2 + 5*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 23*t - 151. What is h(18)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4173 and -28\/12305.\nAnswer: 479895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 greater than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0275 + -0.0675. Is -7 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoooooao. Give prob of picking 3 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c - 41. Let j be t(-3). Put 7, j, 11 in descending order.\nAnswer: 11, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 2, e: 3, h: 2, y: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 169 - 64 = 0. Let m be ((-3)\/2)\/(o\/140). Let g be (0 - -1) + (m - 11). Solve -2 = -j - g*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 < -14809456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8767, 17533, 26299, 35065?\nAnswer: 43831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.91 - -0.09. Let w = 6 - v. Which is the nearest to w? (a) -0.4 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85.1 + 85. Let v = 301.8 - 378. Let m = 76 + v. Which is the smallest value? (a) 3 (b) u (c) m (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -34. Let z = o + 28.0098. Round z to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 1\/2, 0.4, -25, -2 in ascending order.\nAnswer: -25, -2, 0.4, 1\/2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - d**3 + 1370 + 1376 + 1325 + 1394 - 6840 + 1375.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 146 = -2*i. Suppose 0 = -3*q + s + 239 + 363, -3*q + 3*s + 606 = 0. Let j = q + i. What are the prime factors of j?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22563, -90618, -204157, -363174, -567663?\nAnswer: -817618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -199\/3. Is u less than -2.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 2*k**5\/15 + 11*k**4\/6 + 10*k**3 - 35*k**2. Factor o(f).\nAnswer: 4*(f + 3)*(2*f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313 + (-168 - 162) + (1 - 1 - 61)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(-3)\/(15\/((-15)\/3)). What is the second derivative of 6*m - a*m**3 + 4 + 2*m**2 + 18*m**3 - m - 5 wrt m?\nAnswer: 12*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 2\/13, 0.1, 9, -4 in descending order.\nAnswer: 9, 5\/2, 2\/13, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.601 - 0.601. Which is the third biggest value? (a) -4 (b) -1\/6 (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -535 - -1404. Let z be -60*2\/6*-242. Suppose -4*l = -2*p - z, -5*l - a = -4*p - 10534. What is p rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 3. Let h be b(5). Suppose -2*i = -h*g - 3 + 5, -2*g + 5*i = 7. Suppose -5*z - 2 = g*t, -2*t - 12 = 2*t. Solve 4 - 2 = -z*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 16*h**2 + h**2 + 16*h**2.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -48*x - 2 + 1\/12*x**4 - 1\/6*x**3 + 11\/2*x**2. Find the first derivative of t(s) wrt s.\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o = -24*o - 12. Suppose -5*j + 5*w = -1415, 4*w = o*j - j - 574. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2866 and -17.9.\nAnswer: -51301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 76. Suppose -4*f + g - 1 = 0, -5*f + 0*f = g - o. Solve f*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145\/693 + 1\/77. What is the closest to f in -4\/7, 4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*r**2 - 97*r**2 + 185*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8, -5.5, 1\/6, 0.09?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i**2 + 10*i - 20. Let s(p) = p**2 + 7*p - 7. Let o(u) = 2*u**2 + 15*u - 15. Let y(b) = -6*o(b) + 13*s(b). Let t(m) = -k(m) + 20*y(m). Factor t(q).\nAnswer: 5*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33041720 divided by 61645.\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l - 397. What is n(34)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1159*(-50)\/16625)\/(7*15\/735)?\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*o**2 + 18*o + 19*o - 39*o + 102*o**2 - 1 - 2.\nAnswer: 277*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dtttttdtt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13603.727311537 + 142451.497312307. Let d = -128847.7 + u. Let s = d - 0.07. What is s rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 30. Let c(q) = 3*q + 0 + 2 - 1. Determine c(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1119 divided by -373.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - i**2 + 2*i**2 - 6 - 54.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193543667*c**2 - 2*c - 54411536 wrt c.\nAnswer: -387087334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -22\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705 is divided by 346?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21464, 21692, 22314, 23528, 25532, 28524, 32702?\nAnswer: 38264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*c + 17, 0 = -4*c - 5*b + 1. Let n = -3.2 + -0.8. Sort 0, c, n.\nAnswer: n, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1 - 92\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 - 3587001*a**2 + 28695864*a - 57391632 = 0. What is a?\nAnswer: 4, 1195659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304986 divided by 152493?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 + 1603?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 1, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7308 is divided by 57?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -256*c**2 - 212*c**2 + 1 - 1 as d*c**2 + r + n*c and give d.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 6:52 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -26, -108, -266, -524?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86.934 - 86.66. Is -4 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose -q - 7 = -k, -4*k = -24 + 4. Let d be q\/2 + (-275)\/(-225). Which is the closest to -0.1? (a) 1 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -985703*g + 298505.\nAnswer: -985703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1711 + 0.1711. Put 0, j, -1\/4, -2\/49 in increasing order.\nAnswer: j, -1\/4, -2\/49, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4 times 1.920776?\nAnswer: 25.7383984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1977115.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160 - 3190 - (1 + (16 - -2))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (1 + -1)) + 18. Let c = 12 - -132. What is the highest common divisor of g and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3704.7, -2, 3\/304?\nAnswer: 3\/304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 6*g + 7. Let d be q(5). Suppose -t + 33 = -p - 3*p, 0 = d*p - 2*t + 12. What is the units digit of (-3)\/p + (-11)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5903838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 203. Calculate the highest common factor of 38 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1 - -18) + -2. Let d = 3 + b. Let c be 1 + 3 - 2\/1. Calculate the highest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16279363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8*o = 7*o + 62, -3*o - 6 = 0. Let p(g) = -62*g. Calculate the remainder when p(-2) is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-408)\/170 - 116\/(-40). Factor p*o**4 + 25\/2 - 4*o**3 + 20*o + 3*o**2.\nAnswer: (o - 5)**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 8*g - 9. What is a(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + 80\/(-36). Let l(h) = h**3 - 3*h + 2. Let v(w) = -4*w**3 + 13*w - 8. Let m(u) = 9*l(u) + 2*v(u). Determine m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*j + 3*j. Suppose 5*m + 0*m - d - 271 = 0, 3*m = -j*d + 173. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 216553365?\nAnswer: -216553360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2086, -4175, -6264, -8353, -10442?\n\"Answer: -2089*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1171.9 + -1172. What is the nearest to m in -2\/13, -155, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h = -61*h - 3*q - 19, 0 = 5*h - 5*q - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 8 - -1 - -5 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-7) + 116\/203. What is the common denominator of (14\/(-12) - g) + 1719\/756 and 37\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + sqrt(11) + (sqrt(176) + 3)**2).\nAnswer: -185 - 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -885 + 898. What is the third derivative of 133*h**2 + 128*h**2 - 55*h**3 - p*h**5 + 32*h**2 + 65*h**3 wrt h?\nAnswer: -780*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 + 28 = 3*g, -g + 3*p - 5 = 0. Suppose -f - g*u - 46 - 784 = 0, -5*f + 3*u - 4150 = 0. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-27 + 10) - 1 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 1.2. Let m = -9 - -11. Let x = m + d. What is the smallest value in 4, x, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(31*p - 11*p + p) + 1 - 1 - 2*p + 2*p - p + 0*p in the form g*p + i and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1504534143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 101 - 104 = 0. Suppose -p + 0*p = d*g - 3, -2*p + 6 = 3*g. Suppose -p = 4*r + 4*v - 43, -3*v - 26 = -r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*l, -g - l = 2*g + 38. Let q = 8 + g. Let r(t) = -3*t + t + 7 + 3*t. What is r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -24, 0, 19 in increasing order.\nAnswer: -24, 0, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 3*o - o + (46 - 46 - 6*o)*(2 - 2 - 1) + 23*o - 419 + 419 to the form b*o + h and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**4\/(b**7\/b*b))**(-34))**(-48\/5))**37 assuming b is positive.\nAnswer: b**(-181152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -1893525949.7.\nAnswer: -1893525950.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -7*z**3\/3 - 16*z**2\/3 + 17*z\/3 + 2 = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/(-30) - 1) + 9\/5. Sort o, -3, 5, -7 in decreasing order.\nAnswer: 5, o, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 = f - z, -2*f = -2*z. Let x = 2 - -4. What is the third smallest value in x, f, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372*y + 10860 + 18228 = -52*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 1. Let d = n - -1. Suppose v - j - 31 = 0, 0*v + 4*v - 148 = -d*j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010 + -10?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 22 = 54. Let j = 26 - u. Let f(o) = -48*o - 271. Let y be f(-6). What is the highest common divisor of j and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 26, 36, 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 17*l**3\/6 + 65*l**2 - 44*l. Does 7 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/120*10\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from {u: 4, s: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 6, w: 3, a: 1, u: 1, g: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.75? (a) 220 (b) -1\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.34 and -437.975.\nAnswer: 586.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -5)**2*3.\nAnswer: -300*sqrt(11) + 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 25749.\nAnswer: 2574.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 25, -4*c = -2*x - 7*c - 17. Let b = 14\/3 + -5. Are x and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -12. Let f be w\/44 + 30\/(-44). Let s = 71\/3 + -346\/15. Sort s, f, -2 in descending order.\nAnswer: s, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -4*c + 12*c. Solve -5*h - c = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(2 + 3 + sqrt(405) + 2*sqrt(405))*-6 + -3)*4)**2.\nAnswer: 3810240*sqrt(5) + 52833744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/33234 and -79\/93612.\nAnswer: 17879892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 0*j - 0*j. Suppose -3*k = -0*k. Suppose -4*c = -5*p - 981, -2*c + j*p = -k*p - 498. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 25*s**2 + 19*s**4 - 32*s**4 - 39*s**4 + 34*s**2 wrt s.\nAnswer: -1248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -305 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 + -173. Let s = o + -38.1. Let j = -0.13 + 0.43. Sort s, -2, 0.4, j.\nAnswer: -2, s, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5149*x**3 - 2330*x**3 - 2439*x**3 - 23275 + 10350*x**2 + 5*x**4 + 449120 + 116380*x = 0. Calculate x.\nAnswer: -23, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45496*c - 45491*c - d = -15, -7 = -4*c - 3*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 22*v + 30. Let r be (-8)\/(-20) - (-6)\/v. Let a = -0.3 + 2.3. Sort r, -2, a in decreasing order.\nAnswer: a, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 - 24*z**2 + 24. Let d = 2 + 1. Let j(g) = -3 + 11*g**2 + 2 - 8*g**2 - 11*g**2 + 9*g**2. Determine d*i(o) + 72*j(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*z + 2*z = -6, 2*z + 52 = 4*u. Let h = 22 - u. Suppose 3*r = 0, -h - 15 = 5*m + 4*r. Sort m, -4, -3.\nAnswer: m, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.24406 take away 25?\nAnswer: -35.24406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -613.000004173 - -613. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41112137 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-17)*1128\/3948?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61527440 + -6897440. Suppose 0 = -9*n - 0*n + z. What is n rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -531 + -4?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 2. Let j(o) = -o - 1. Let f(x) = b(x) + 2*j(x). Let i(g) be the third derivative of -g**5\/60 - 12*g**2. Determine f(i(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 1, s: 1, q: 2, j: 3}. Give prob of picking 1 j, 1 s, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -1\/93 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 43?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(1089) - sqrt(1089)*-5)*2)\/((sqrt(72)*-6 - sqrt(72) - sqrt(8)) + (1*sqrt(72))\/sqrt(9)).\nAnswer: -sqrt(3)\/693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let q(k) = 8*k + 32. Determine b(q(c)).\nAnswer: -64*c**2 - 512*c - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44757319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 - 9\/(-15). Let p be (1006\/21 + 0)*3. Let g = 144 - p. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -110. Suppose 5*x - 79 = 11. Calculate the remainder when c is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 64*n + 3)*(-5*n + n + 2*n)*(-5*n + 32*n - n) in the form c*n**2 + g*n + a*n**3 + u and give a.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**3\/3 - 3*p**2\/2 + 4*p + 3. What is the units digit of z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 - 76. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 7. Let v be h(-9). Suppose -2*x + r + 35 = -2, 32 = 2*x - 2*r. Let o = x - 13. Sort v, -3, o.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.056 + -178.056. Let z = 179.50422 + -1.50144. Let h = b + z. Round h to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/420*-3*(-10800)\/(-4320)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxnccnccczzkcczcekxc. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvdvdvvvvv. Give prob of sequence dvd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-2)\/(-24))\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/7 - 3714*x**3\/7 + 86480*x**2\/7 = 0. Calculate x.\nAnswer: -1880, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -58.3. Let k = -28 + j. Let n = k - 7. Sort n, 2, -5 in descending order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -120 + 42 - -34 - -49. Let x = -2 + 1. What is the closest to x in -1.5, -0.11, v?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14961 divided by -122?\nAnswer: 14961\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-2\/43)*i*i))**(-23))**25 assuming i is positive.\nAnswer: i**(50600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 118?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - b = 9, 3*b = 5*b - 6. Suppose 90 = -5*c - d*c. List the prime factors of ((-13)\/2 + 1)*(0 + c).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + 33*g**2 - 3*g**4 - 4*g**4 + 36*g**3 + 10*g - 29*g**2 + 6*g**4 in the form c*g + p*g**3 + t + w*g**4 + x*g**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25.58 * -0.144918\nAnswer: 3.70700244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 - s - 10. Let n be j(-2). Suppose -62 = -3*p + n. Calculate the remainder when 1\/(-2) + 406\/4 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021.3414 rounded to the nearest 10?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4284 = -0*t - 51*t. Let c(h) = 7*h**2 - 4*h + 9. What is the remainder when t is divided by c(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 397, 435, 471, 505?\n\"Answer: -l**2 + 41*l + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4563 is divided by 785.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -491515122 and 0.\nAnswer: -491515122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8512587 days in seconds?\nAnswer: 73548.75168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 4*g + 22, m - 3*g - 15 = 0. Suppose -4*i + 91 = m*i. Let d = -51 + 55. Solve h = d*h + 2*z - i, 3*h - 4*z - 19 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 1 in descending order.\nAnswer: 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.89 and -3.45664.\nAnswer: -3.0764096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 21*q - 107. What is g(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -47 + 10 + 1 + 0. Let g = 38 + a. Put 6, 3, 10, g in decreasing order.\nAnswer: 10, 6, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2486, -2464, -2430, -2378, -2302?\n\"Answer: k**3 + 15*k - 2502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 255. Let b(a) = 41. Determine 2*b(u) + h(u).\nAnswer: -5*u - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlreeyr. What is prob of sequence er?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 7, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d + 3*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1868947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - t**4 + 2*t**4 + (-2*t - 3 + 3)*(2*t**3 + 3*t**3 - 3*t**3) + (-3*t + 3*t + t**3)*(3*t + 3*t - 5*t).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 + 3)*(17*b**3 - 455*b**4 - 3*b**3 - 771*b**4 - 14*b**3) to the form r*b**2 + q + m*b**3 + p*b**4 + w*b and give p.\nAnswer: -12260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132.64 + -132.64. Which is the closest to -2\/5? (a) 1\/3 (b) x (c) 14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5082 + 5422. What is the greatest common factor of 480 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32751 - 21002?\nAnswer: -53753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 - 13*h**2 + 4*h - 7. What is the remainder when o(-5) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46242*p**5 + 54*p**3 - 25171848*p**2?\nAnswer: -2774520*p**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -180*y - 6. What is the thousands digit of q(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 219 + 79. What is the highest common factor of 126 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7026206 is divided by 367?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -170, -217, -238, -233, -202?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -1503*l**5\/10 + 4567*l**4\/24 - 15265*l**2. Find the second derivative of u(f) wrt f.\nAnswer: -18036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**8\/84 + f**5\/60 + f**2\/2 + 4. Let y(s) be the second derivative of g(s). Find the third derivative of y(h) wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -62*v**3\/3 - 184*v**2\/3 + 2*v = 0.\nAnswer: -3, 0, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1143a8 (base 12) to base 16\nAnswer: 43a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 50\/6. Suppose -5*d = -5*m + 40, 0*d - 4*d = 4*m - 16. Suppose -m*x = -a*x. Solve x = 3*i + 3*l - 6 - 0, -2*i = -5*l + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 100 = -2*z, 5*u + 5*z - 4*z - 250 = 0. Calculate the highest common divisor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 - 118*w**4 - 5120*w**3 + 21832*w**2 - 22272*w = 0 for w.\nAnswer: -32, 0, 2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.5004ml in litres?\nAnswer: 0.0555004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 18*o - 19*o. Let k(f) = -2*f**2 + 0*f**2 + 0*f**2 + 7 + f**2. Let r(p) = -2. Let j(l) = 4*k(l) + 14*r(l). What is j(y(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68868 and 1708309?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - d = -36, -10 = 3*g + d + 54. Let z = -25 - g. Suppose -3*r = 4*w + 25, 0 = -0*w + 2*w + r + 11. Do z and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 22 = t - 7*z, z = 21 - 20 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.1. Let i = x - 1.2. Let o be (2 + (1152\/42)\/(-12))\/((-912)\/(-56) + -14). Which is the smallest value? (a) i (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -3\/11, 27, -0.3, -2, -4, -14?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkhk when four letters picked without replacement from {h: 17, k: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/7 - 45*m**3\/7 + 102*m**2\/7.\nAnswer: -3*m**2*(m - 2)*(m + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrgg when four letters picked without replacement from {x: 1, r: 1, c: 3, q: 1, f: 3, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(108)\/sqrt(3))\/(sqrt(432) - ((sqrt(432)*2 - sqrt(432)) + sqrt(432))) + (sqrt(9)\/sqrt(3) + -4)**2 + sqrt(3)*3 + -1.\nAnswer: -29*sqrt(3)\/6 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-960)\/20) + (-1135)\/752. Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4154 in -1, 1\/5, 2\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 2. Let f be x(-2). Suppose 2 = -5*a - 8. Is a\/3 - (-208)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 7?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 - 564*r**4 - 36768*r**3 - 915840*r**2 - 5702400*r - 10368000.\nAnswer: -3*(r + 4)**2*(r + 60)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1215*t**4 + t**3 + t**2 - 4299 wrt t.\nAnswer: 4860*t**3 + 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x + 3*w + 34, x + 33 = -4*w. Let q(c) = 32*c**2 - 99*c + 6. Calculate q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8109a - -8?\nAnswer: 810a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -55715 <= -947180\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -3*f + 12, 6*f + 22*q + 20*q - 47*q = 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*f - 9222 = 586*f for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9. Let c = 2 - 2. Let j be s(c). Solve 0 = 5*u - 5*z - 10, -2*u - 29 = 4*z - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*d - 201*d + 36180 = -320*d for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 0.03, 1\/4, -4, 30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(468)*-1)**2 + 0.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2481, 2330, 2169, 1992, 1793, 1566, 1305?\n\"Answer: -y**3 + y**2 - 147*y + 2628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:55 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/(-15) + 1\/(-3) - 2. Let v = -469\/45 - -51\/5. What is the third smallest value in a, v, -2, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*l - 9 - 7, 3*p + 18*l - 92 + 221 = 0 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*w**3 - 5*w**3 + 3*w**3)*(-7 - w + 7) to the form d + u*w**3 + x*w + i*w**2 + h*w**4 and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*w**4 - 1339*w**3 + 6836 wrt w?\nAnswer: -52*w**3 - 4017*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 13, -1\/5, -25\/2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3682, 7830, 11978, 16126, 20274?\n\"Answer: 4148*y - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 8*f - 5. Let s be q(-7). Let r = 13 - 7. Suppose -r*o + o = -25. Solve s*v - 16 = -4*n, 0 = o*n - 5*v + 4*v - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.85 + -0.15. Let y = -0.69999959 + o. What is y rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**3 - 5588*g**2 - 2780*g + 8376 = 0. What is g?\nAnswer: -698, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, 682, 2 in increasing order.\nAnswer: 1, 2, 11, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1.1, -0.3, 0 in decreasing order.\nAnswer: 0.5, 0, -0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 369*p**3 - 2152*p - 38 + 2152*p + 24.\nAnswer: 369*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 5487 = 31668. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/6 - 94*k + 558 = 0. What is k?\nAnswer: 6, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2975\/8 - -9079\/24. Let g = 263\/6 - 595\/12. Find the common denominator of d and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h + 27. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-23 - (6 + -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2792c3 (base 15) to base 4\nAnswer: 13100320011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (19\/10)\/(131\/(-786)))*-3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 7*s**4\/24 + 11*s**3\/3 + 5*s**2 - 19*s. Give f(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 13*k - 7. Let c be a(6). Suppose -5*g - 3*q = -3*g - 19, -4*g = 5*q - c. Solve -g*f + 0*f - 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 40 + 47)*(2 - 5 - 1)*(-3*w**2 + 10*w**2 + w**2) + 1 - 1 + w**2 + (-2*w - w + w)*(4*w - 3*w - 3*w).\nAnswer: 2213*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 18. Let x = 106 + u. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*d**3*l**2 + d**3 + 3*d**2*l**2 - 98*d*l - 93*l**2 + 21*l wrt l.\nAnswer: -98*d**3 + 6*d**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**2 - 40*n - 39. Let c(l) = -l**2 - 8*l - 8. Let j(x) = -11*c(x) + 2*d(x). Let u be 4 - (-5 + 4 + -4). What is the units digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 9*x**2 - x + 13. Calculate b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 45*d**2 + 53*d + 355. What is v(-46)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1488)\/(-12))\/(-31)*520\/(-160).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 22051332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 5*i)*(1 + 3 - 2) + 4*i - i - 2*i + (-1 - 1 + 1)*(-i + 0*i + 0*i) + (2 - 2 + i)*(147 - 33 - 73).\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:02 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**4 - 8*o**3 - o**2 - 5*o + 5. Let b = -50 - -57. Let u(n) = -13*n**4 + 12*n**3 + n**2 + 7*n - 7. Let d(l) = b*z(l) + 5*u(l). Factor d(y).\nAnswer: -2*y**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -66 (b) -0.114 (c) -3\/644 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(((sqrt(363) - (sqrt(363) + 0))*-3)**2 - (sqrt(363) - (sqrt(363) + 5*(1 + sqrt(363) + sqrt(363))))**2)*-5 + 2.\nAnswer: -544872 - 16500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m**2 + 2*m**3 - 3*m**2 + 3*m**2)*(35*m - 4*m - 6*m) as q*m**4 + z*m**3 + t*m**2 + l + f*m and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, 0.111, 14\/3, 0.\nAnswer: -2\/5, 0, 0.1, 0.111, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1074.835 and 3274411?\nAnswer: 3273336.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.247447 grams?\nAnswer: 2247447000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 730 and 146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 - 2*x - 6. Let g be o(-4). Let w be 88\/g - (-2)\/7. Let z = w - -10. Solve -k = -z*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 536 (base 10) to base 13\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5 + 6. Which is the closest to 0.1? (a) 5 (b) 1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 2565 = -10*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*q = -4, 5*n - 3*q = 2*n - 6. Suppose 143*f - 117*f - 5590 = 0. Suppose 3*o + h = -h + f, -o - 4*h + 55 = n. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = -g + 18, -2*g - z + 9 = 0. Let b = 14 - 2. Let r = 9 - b. What is the closest to r in g, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {h: 1, s: 1, f: 1, a: 1, o: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 - 104. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6952*f**3 + 5772 wrt f?\nAnswer: -20856*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 45 + 27 - 12 - 71)*(43 + 33 - 130 - i).\nAnswer: 126*i + 6804","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (4 + 3 + (-25 - -25)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2808*h**3 + 3044*h**2 - 1413*h**2 - 1631*h**2.\nAnswer: -2808*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = 8*n - 14*n. Let x = -69 - n. Calculate the remainder when x is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*j = 7232 - 27562 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*2\/(44\/33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21761551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 28*n**2 - 1079620*n - 154232 = 0.\nAnswer: -1\/7, 38558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9078 + 0.0922. Which is the closest to 0? (a) 0.08 (b) k (c) -2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 7*z. Let d = 0.3 - 0.2. Let h = -0.2 + d. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + 76. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91.83893 - -91.8. Round l to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125648880?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141\/2 - -71. Find p, given that 1\/2*p**3 + 0*p - 1\/2*p**4 + 1\/2*p**2 + 0 - t*p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 18}. Give prob of picking 2 f.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/72)\/((-6)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 67. Let c = 530.8 - 576. Let j = c - y. What is the closest to j in -1, 2\/17, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/2 + m**4\/8 + m**3\/3 + 477*m**2. Calculate c(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6458425 and 340?\nAnswer: 439172900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1542 and 24.\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (92\/(-20))\/((-14)\/70).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 - 81*g**2 - 701*g - 13622. What is t(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 98. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -191, -373, -527, -641, -703, -701?\n\"Answer: 2*d**3 + 2*d**2 - 202*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 179.4642 micrograms?\nAnswer: 0.1794642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-912)*((-7)\/1)\/(-7).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49912551.\nAnswer: 3, 13, 43, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7278143 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-24 - -31) - 36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 299544 and 7280.\nAnswer: 38940720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 32\/6429 (b) -2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0547466365 - -3.1452529935. Let w = 3.2 - s. What is w rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528 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: Express 7*w - 2*w**3 + w**2 + 0*w - 4*w as z*w + q*w**2 + o + g*w**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15455, -30912, -46369?\n\"Answer: -15457*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 - -2245278?\nAnswer: 2245481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36515, 73034, 109555, 146078, 182603, 219130, 255659?\nAnswer: 292190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 18. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35943, -71918, -107893, -143868, -179843?\nAnswer: -215818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 1, o: 1, p: 5, n: 6}. Give prob of picking 3 p and 1 u.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5 - 10653*h**4 - 9365889*h**3 + 162711561*h**2 + 353478192*h + 181411392 = 0.\nAnswer: -1784, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Let i be 3 + 1 - (s + 1). Differentiate 3*a + 0*a - 6 + i*a wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-64)*8)\/((-3)\/(-1) + 0). Let d = 13 - 14. What is the closest to d in -4, b, 6\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14178 = -10*p + 14008 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 6. Let z be k(0). Suppose 5*l = -5*n + 60, 0 = 4*n + z*l - l - 46. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9465, 0.2, -0.4, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89863 is divided by 1473?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -3) + (-7)\/(28\/(-40)). Solve 0*p - n*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10053, 9826, 9599, 9372, 9145, 8918?\n\"Answer: -227*z + 10280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - i**4 - 2*i**4 + (0*i + i + 4*i)*(2323*i + 117*i**3 - 2323*i).\nAnswer: 583*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*y - 5*i - 10, 0 = 2*y - 4*i + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.829 and 0.3.\nAnswer: 1.4487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkgksgsksr. Give prob of picking 1 g, 1 s, and 1 k.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 23212499 and 23212500 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -a + 6*a - 147, 93 = 3*a + 3*h. Suppose 0 = -5*k + 223 - 58. What is the smallest common multiple of k and a?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x + 4 - 2 + 2*x. Let i be a(-3). Suppose -v = -i*v + 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/5 and 29\/285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-10)\/(-16)) - -2. Suppose f + 18 = -2*q, 0 = -5*q + 5*f - 46 + 16. Let j be (-27)\/(-12) + 2\/q. Solve -j*a = -4*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a - 5. What is the units digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4911167 - 4911167 + 8*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55169718101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 6. Let v be m(-4). Suppose -8*r + v*r = -7698. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1234354 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s**(2\/17)*s))\/s*s)\/s)\/(s*s**3\/s))\/((s*s\/s**(-1\/4)*s)\/(s*(s**(-5\/4)*s)\/s)))**(2\/7) assuming s is positive.\nAnswer: s**(-37\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.0817.\nAnswer: -0.1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by -5.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(1 + (-1 - 1)). Let w = -93 + 133. Suppose -w*m + 37*m = 0. Solve v = -2*s - r*v + 12, m = -s + 4*v - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let b(s) = 3957*s**2 + 9220*s**2 - 775*s**2 + 1964*s**2. Calculate b(t(z)).\nAnswer: 57464*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -13. Let q(c) = -6*c**2 - 18*c - 1. Let t(z) = -2*z**2 - 6*z. Let v(g) = w*t(g) + 4*q(g). Factor v(r).\nAnswer: -2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 27. Let w(i) = -4*i + 3*i - 1 + f*i**2 - 6*i**2. What is w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-419*n + 218*n + 804*n)*((n**2 + n**3 - n**2)*(3 + 1 - 2) + 0*n**3 + 3*n**3 + 0*n**3 + n**3 + 3*n**3 - 3*n**3).\nAnswer: 3618*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9751325+-67630.5\nAnswer: 9683694.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:25 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5636.921 kilograms to micrograms.\nAnswer: 5636921000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**10\/604800 + k**9\/241920 - k**5\/20 + 2*k**2. Let x(o) be the third derivative of j(o). Determine s, given that x(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-624)\/(-36) + (-1)\/3. Suppose -l*c + 56 = -29. Solve -2*v - v = -4*d + 26, -2*v - c*d + 21 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**4 + 0 + j + 0 + (-2*j**3 + 2 - 2)*(-3 + j + 3) to g*j**2 + u + i*j**4 + l*j + t*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svpvuuuupuu. Give prob of sequence vsv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19318190*i**3 - 320*i**2 - i + 32031?\nAnswer: 115909140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 23980*z - 167664.\nAnswer: -4*(z - 5988)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - -4) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)*r)**(-3)*r**(-3\/11)\/((r**23*r)\/r*r))**(-1\/40) assuming r is positive.\nAnswer: r**(267\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11320 and 8?\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*10\/1380*(-58 - -302)\/61\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j)\/j)**(-36)\/(j**(-1)*j*j*j)**(2\/21) assuming j is positive.\nAnswer: j**(6800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012800785 to six decimal places.\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.00863\nAnswer: 0.001726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaqz when four letters picked without replacement from aqzzzaazzaa?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 13*x + x**2 + x**3 + 8 - 37 as p*x**2 + a*x + s*x**3 + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 268532 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-1 + sqrt(539) - 5*1*sqrt(11))**2).\nAnswer: -16*sqrt(11) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43080101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-6)\/4 + 1). Let x = q - 0. Find the second derivative of 3*t**5 + x*t + 3*t - t**5 wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184074*y - 10 + 2 - 1 + 6.\nAnswer: 184074*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 4 = 0. Suppose 0 = -h + 7 - c. Solve 2*l + 10 = -2*q, -4*q - q + h*l = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170.088 and 143765609.\nAnswer: 143765779.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 12:38 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 236*s**2 - 1173*s + 42292. Give y(-111).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/81356067 and 9\/8507824.\nAnswer: 1301697072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080851.\nAnswer: 29, 109, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 751380 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6, y: 7, a: 6, q: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1664)\/512*49312\/1196.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*f - 15*f**3 + 10*f**3 - 47*f**3 wrt f.\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 13. Calculate the smallest common multiple of 7 and o(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 220 = -4*w, 2*p + 160 = -w + 4*w. Suppose 5*b - 2*n - 75 = 3*n, 2*n - w = -5*b. Let x = -5 + b. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*u**6 - 645*u**2?\nAnswer: 13440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -3)*-1*-7. Suppose 5*v - 3 = x. Suppose -f - v*g = -22, 0 = 2*f - 3*f - g + 18. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -931, -1359, -2079, -3097, -4419, -6051, -7999, -10269?\nAnswer: -12867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(1\/(-10))*(-49056)\/(-10220)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 325 = 229 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*s - 37, -3 = -2*x + 3*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -84*z**3 - 4*z - 4. Let q(o) = 83*o**3 + 5*o + 5. Give 5*a(m) + 4*q(m).\nAnswer: -88*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1266 and 1571528?\nAnswer: 4714584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*i - 3*i + 114, 3*i = -3*k - 114. Let c = -11 + k. Let f = 83 + c. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from iiaiggiig.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 13 - 536*x - 2.\nAnswer: -536*x - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 460020?\nAnswer: -460020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -25*l**3 + 2792540*l**2 - 1675515*l = 0.\nAnswer: 0, 3\/5, 111701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-59)\/21 + 1. Let a = -2\/3 - c. Suppose 3*p + 0 + 15 = 0. What is the closest to -1\/3 in -0.1, a, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)*1 + 2. Let z(q) = -13*q**3 - 3*q**2 + 15*q - 17. Let x(b) = -7*b**3 - 2*b**2 + 8*b - 9. Let m(c) = 11*x(c) - 6*z(c). Give m(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:18 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nsswuswun.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 212969 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 31, 56, 89, 130?\n\"Answer: 4*m**2 + 5*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 + 3*x - 3. Let v be u(-3). Let p = 69725\/56067 + -2\/1699. Find the common denominator of 1 - -1 - 97\/v and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - b. Let j be h(1). Let q be 2\/(j + 6\/(-2)). Let f be 9*q*2\/21. Are f and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4668.8381 - -4668. Round t to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 508 + -505. Is 12\/(-18) + (k - 298\/(-6)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-15) - (-2)\/(-6). Suppose 2*o = p - 2, -71*o - p = -76*o + 1. Which is the smallest value? (a) n (b) 3\/5 (c) o (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78118 and 7587.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * 0.216.\nAnswer: -0.6912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50.4 - -50. Let v = -0.11 + 0.01. Which is the nearest to v? (a) -5 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 8*n + 32404. Determine i(184).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18313015 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 22 + 14 - 60*z**3 in the form b + v*z**3 + o*z + q*z**2 and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*x = 198*x - 1624. Calculate the greatest common factor of x and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/3 + 34*g**3\/3 + 64*g**2 + 424*g\/3 + 320\/3 = 0. What is g?\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-6)*(-1 - 1 - -5). What is the remainder when 91 is divided by ((-15)\/5)\/(o\/64)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*o**2 + 54*o**4 + 38*o**4 - 201*o**2 - 3*o + 97*o**2 + 2*o as n + b*o**4 + a*o + r*o**2 + v*o**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 635510159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 132382.\nAnswer: -132381.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(200)*1 + sqrt(200))*-5 - (sqrt(200) + -3 + 1*sqrt(200))) + (0 + sqrt(200) + 3 - (2*sqrt(200) + -3))))**2.\nAnswer: -58500*sqrt(2) + 847025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1294836 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*u - 2 - 8*u - 3*u**3 - 9*u + 3 to the form m + x*u**3 + v*u + j*u**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 - 4*o. Let y be g(-4). Suppose 4*n = -16, 2*x - 3*n - 16 = -y*x. What is the units digit of (-1 - x) + 4 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 147\/28*(2 + 2). What is the highest common factor of 84 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22818044 + 311.48902\nAnswer: 22818355.48902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152553 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 25*r + 11. Calculate j(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 3. Let r(s) = 4*s - 9. Let n(v) = 7*m(v) + 2*r(v). Let i = 301 + -301. Give n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -57. Suppose 5*n = 20, 7182 = -2*z + y*z - n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*m + 38*m + 216. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3367, 3376, 3387, 3400, 3415, 3432?\nAnswer: 3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1 - 1\/3*x**3 + 0*x**2 + 0*x. Let q(a) = -3*a**2. Calculate r(q(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 61\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2672, -1784, -32, 3016, 7792, 14728, 24256, 36808?\n\"Answer: 72*x**3 + 384*x - 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 + 6 = 3*c, -4*a - 21 = -c. Let n(u) = 12*u**2 - 10. Does 16 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 + 494*w**2 + 2*w - 456?\nAnswer: 6*w + 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let i be o(-3). Let a = -25 - 33. Let y = a + 102. What is the greatest common factor of i and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*5*1*-41. Let h be c\/(-12) - 1\/(-4). What is the remainder when (1\/3)\/(-1)*h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, d: 3}. Give prob of sequence xd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five halves of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i - 2*i)*(3*i - 2*i + 0*i) + (2 - 2 - i)*(-107 + 107 - 127*i) in the form w*i + o + h*i**2 and give h.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33028425?\nAnswer: 3, 5, 167, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/17668 and 71\/843016.\nAnswer: 5901112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*9*(-2)\/(-1). Let b = k - -128. Let u = b - 25. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p, 3*q = 4*p - 3 + 14. Let x(c) = 58*c - 56. Let o(z) = 7*z - 1. Let w(l) = -20*o(l) + 2*x(l). Let b be w(-4). Solve q - 1 = -b*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - ((-6)\/(-16))\/((-114)\/2318) and 4\/18 - (-1470)\/2376.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4)*(-4928)\/4224\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183021480 rounded to the nearest 100000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4 + 583*o**3 + 1171*o**2 - 583*o - 1170 = 0.\nAnswer: -2, -1, 1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 4*b + 9*b**3 + 9*b - 8*b**3 - 3*b in the form c*b**2 + r*b**3 + w + a*b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 0.8. Let q = 3 - c. Let o = 27 - 29. What is the closest to -0.1 in 0, q, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + -1*sqrt(672))\/(sqrt(18)*-6))\/((sqrt(75) - sqrt(3))*-4 + sqrt(576)\/sqrt(3)).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g. Let t = 46 - 42. Let a = -4.5 - -5. What is the nearest to t in g, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 89. Let t(u) = 2*u**3 - 5*u**2 - 83*u + 298. Let n be t(4). What is the greatest common factor of h and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 11}. What is prob of sequence gg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*c + c + 24 = 0, 0 = -2*d - c - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110660231 (base 7) to base 15\nAnswer: 8c6442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-21) + 2 + 16\/(-4). Put w, 28, -5 in descending order.\nAnswer: 28, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3912399081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5168 and 13168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqlqqllq. Give prob of sequence llqq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 15 = 61*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/6)*l)**24 assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 11*l. Let j be s(-9). Suppose -j = -4*i - 2*i. Suppose 5*v + 2*b = -b + 6, -3*v - i*b = 0. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2411 is divided by 141.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6517, 6448, 6369, 6274, 6157, 6012, 5833?\n\"Answer: -o**3 + o**2 - 65*o + 6582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 2*k + 15*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*u - 180 = 38*u + 23*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 18424*t\/9 - 42430472\/9.\nAnswer: -2*(t + 4606)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + 5 + -3. Let g(h) = -h**3 + 4*h**2 - 3*h. Determine g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 22*w - 290. Which is smaller: w or 62?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020 - -200?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(-14*(-12)\/4704)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 3*i**3 + 72*i**2 + 0*i**3 + 4*i**3 - 71*i**2. Let g(k) = 12*k**3 + 6*k**2 + 6*k. Determine g(p) - 6*r(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -17, 0.8, -0.0673 in ascending order.\nAnswer: -17, -0.0673, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 115. Let w = b + 42. Suppose 4*c = -w*c + 70. Solve c = -p + 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 927*x + 105 with respect to x.\nAnswer: 927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986037254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 540483\/27 + 21\/28. Let y = h - 20017. Calculate the common denominator of y and 79\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:02 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 19*o**2 - o + 20. Let a be u(19). Is 6.5 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 61*y**2 - 3*y + 4. Let b(i) = i + 1. Let c(v) = 4*b(v) - n(v). What is the second derivative of c(f) wrt f?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2 + 16986*w + 29750.\nAnswer: -2*(w - 2125)*(4*w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7\/6)\/d**(-32) assuming d is positive.\nAnswer: d**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -14*h. Which is greater: -1\/20 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -41*c + 89 + 94. Sort c, 2, -41, 4, -4 in ascending order.\nAnswer: -41, -4, 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 3*v + 13 = 0, 8 = j + 4*v. Sort j, -2, -5 in increasing order.\nAnswer: -5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -818*b - 11986 - 6010 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*q - 87 + 0 = 0, 6*u - 22*u + 10*u - 274 = 4*q for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13325, -2\/27, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 96?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.075 + -0.175. Put 7, y, 0, -1\/4 in descending order.\nAnswer: 7, 0, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 368 = 1097. Let v = t - -1370. List the prime factors of v.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/6 and (215\/20*-6)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 1233734?\nAnswer: -21\/616867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586670.9 milligrams to nanograms.\nAnswer: 586670900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = 5*j, 2*j = 5*i + 13 - 49. Calculate the greatest common factor of i and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -4*w - 8, 0 = -5*d + 5*w + 10. Solve n = -d + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 1, i: 3}. Give prob of picking 2 t and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = c - 12 + 16, 0 = -2*c - 5*y + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d + 3. Let t be m(-7). Let c = t - -23. Suppose 3*h = c*h - 110. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536 and 167763712?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 13*n**2. Let o(d) = 722*d**4 - 6*d**3 + 81*d**2 + 141*d. Let a(p) = -o(p) + 6*x(p). What is the third derivative of a(u) wrt u?\nAnswer: -17328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, -5, -6, 24 in descending order.\nAnswer: 24, -1, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - 0 - -10. Suppose x + 4*p - 19 = 0, 2*p - 5 = -x + 6. Suppose 0*r - x*r = -3. Solve 5*g = v + r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 447, 6, -145, 0.4, -5 in increasing order.\nAnswer: -145, -5, 0.4, 6, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**4\/7 + 158*m**3\/7 + 170*m**2\/7 + 24*m\/7 = 0.\nAnswer: -12, -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 945 and 30?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 163 (c) 5\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2\/19 (b) -625 (c) 3\/4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 52202223?\nAnswer: -52202223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (sqrt(2299) - (sqrt(2299) - 1*sqrt(2299) - sqrt(2299))) + 1)**2.\nAnswer: 66*sqrt(19) + 20692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 14072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5522 and 59738.\nAnswer: 657118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235 + 354. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141320653 to the power of 1\/2, to the nearest integer?\nAnswer: 11888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21098\/33 + -1*4\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -186. Let b = t - 24. Let s = b + -84. Let z(n) = -n + 1. Calculate z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 16*h - 5 + 14 + 17 + 38.\nAnswer: -16*h + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2772249?\nAnswer: 3, 924083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4348387 is divided by 407.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/15)\/(6\/30). Let o(x) = x**2 + 8*x - 4. What is the units digit of o(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)\/q**(2\/3)*((q*q**(1\/5))\/q)**(-2\/79))**42 assuming q is positive.\nAnswer: q**(-8774\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*(-5)\/(-2)*(-21 - -25) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/15 + 8146*n**4\/5 - 341708*n**3\/15 - 130196*n**2\/5 + 68342*n\/3 + 24410 = 0. What is n?\nAnswer: -1, 1, 15, 12205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -2.3. Let h = -84 - -84.1. Let y = -1.7 - 0.3. Which is the nearest to y? (a) -1 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, u: 4, l: 2}. What is prob of sequence uull?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011001001110 - 1?\nAnswer: -11000011001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4778 - -4821. Solve -13*n = -14*n + v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2538 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -3 (c) 0.5 (d) -1\/8 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 728. Give m(-91).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + m + 0 + 25 + 4 = 0, 47*s + 4*m = -202 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-8)*8\/18*(-912)\/304?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379 is divided by 573.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276290 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 8. Let p = 22 - k. Let h = p - 14.68. What is h rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978578?\nAnswer: 2, 3, 7, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162576181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 595448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-115)\/(-25) + -3)\/2. Let l = 2 + -5. What is the third smallest value in 2\/5, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 10*q**2 - 9*q**2 - 3*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 56, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51491679 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/6)\/((-30)\/24). Let s = 12 - 11.98. Let j = s + -0.02. What is the closest to j in y, -2\/3, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Let z = k + 4. Suppose -5 = 5*w - 3*f, -3*w + f = -2*f + 9. Solve 2*c = 4*y, w = 3*y - z*y - c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 5. Let c be k(8). Suppose -3*i + o + 57 = 4*o, c = i - 5*o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.4, -5, -0.5, -0.02 in descending order.\nAnswer: 0.4, -0.02, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/29 (b) 2\/9 (c) -2\/17 (d) -0.247 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -16, -21, -26, -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.4 from 0.162456.\nAnswer: -16.237544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-12 + 4*u + 12).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 30 - 37 + 139 - 47808*p + 47809*p - 36.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 18.\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, s: 5, q: 1, h: 3, b: 1, i: 5}. What is prob of sequence ssj?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1*(-138)\/276.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/921359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifrr. Give prob of picking 2 i and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 51 times -0.058\nAnswer: -2.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (15 - (-2 + 11 + -12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137510 + 137515. Solve 0 + 15\/4*l**4 + 5*l - s*l**2 - 25\/4*l**3 = 0 for l.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 40 - 71 - 260*z - 33 - 16*z**2 = 0?\nAnswer: -16, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 72, 1, 13, -266, 0, 4 in decreasing order.\nAnswer: 72, 13, 4, 2, 1, 0, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -25. Let o(f) = f**3 + 6*f**2 + 3*f - 5. Let p be o(u). Solve 4*b = 3*y + p, -5*y - b - 2 = -0*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738438?\nAnswer: 2, 13, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 - 106*d + 555 = 0. Calculate d.\nAnswer: -111, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**4 - 3974898*i**3 - 608*i**2 - 10843*i?\nAnswer: 168*i - 23849388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10191765 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 13.\nAnswer: 32\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6059476 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66709 is divided by 628?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f = 0. Let x = -49 + 52. Suppose f*h = x*h - 45. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (164*k + 5 - 277*k + 175*k)*(-k + 0 + 0) to the form b + n*k**2 + j*k and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.778, 0.3, 0.5, 12.9, -2\/15, -1, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 281\/1786684 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 17 - 3 = 0. Suppose -3*j + 5*u = -j - 14, -5*j + 5*u = -20. Solve j*k + i = 4*c, c - 2*c - 5 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -55. Which is the smallest value? (a) l (b) -1\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1273 and 6?\nAnswer: 7638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o - 5*l + 5 = 0, -2*l = o - 2. Suppose -5 = 5*t + 5*u + 5, 3*t + 2*u + 1 = o. Solve 2*r + t*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 377*g + 320. Is n(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r*r*r\/(r*r*r*r**(-8)\/r)*r)**(2\/17) assuming r is positive.\nAnswer: r**(144\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(260\/(-117)*3 + (-5)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*l**3 - 347*l**3 - 53 + 22 + 11 + 23 in the form c*l + j*l**2 + n*l**3 + x and give n.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:19 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m. Suppose 4*s + 2*b - 8 = 5*b, -19 = 3*s + 4*b. Let d(x) = -2*x**3 + x**2 + 6*x. Calculate s*d(c) - 4*l(c).\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 46 + 104. Suppose 10 = 5*l + i. Let n = 4 + l. Solve -p - 1 + n = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-31))**(-35) assuming m is positive.\nAnswer: m**(-1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.95 - 3.05. Let z = 21\/2 - 11. Let y = 11 - 7. What is the second biggest value in v, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561097 is divided by 1526.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 2*n - 27. What is g(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 8*t**7\/105 + 2*t**6 + 15*t**5 + 5*t**2 - 3*t. Factor k(z).\nAnswer: 4*z**2*(2*z + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u**5 + 2114*u**4 + 27734*u**3 - 124634*u**2 + 52224*u + 42552 = 0.\nAnswer: -197, -18, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -51. Which is the closest to 1? (a) -0.5 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 45 - 15. Let t = -1088 - -1118. What is the greatest common divisor of t and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2743 + 6510. Is p\/15 - 8\/60 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 2:18 AM and 10:01 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfoopqpppmpoxx. Give prob of picking 1 x, 1 m, and 1 p.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Let s = 5046 - 5045.8. Which is the third biggest value? (a) m (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19404735 and 712827.\nAnswer: 174642615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35744047 divided by -113\nAnswer: -316319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2712 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -190, -315, -440?\n\"Answer: -125*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/2 + 784\/16. Calculate the highest common divisor of t and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11814459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amaa. What is prob of sequence aam?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1414 - 975. Suppose -2*f = -2*o - 72 - 210, -3*f + u = o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*5*-4)\/(sqrt(864) - (sqrt(864) - sqrt(864)*-5)))**2*-3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226728 - 113363 + 21353*y - 113365)*(4 - 4 - 2*y).\nAnswer: -42706*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3024.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1194 (c) -1\/4 (d) -1\/7 (e) 0.5 (f) 0.1 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -1001010101?\nAnswer: -1001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(21*39\/(-910))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -535, -1, -94, -3 in increasing order.\nAnswer: -535, -94, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1215) - sqrt(15))\/(sqrt(245) + sqrt(245)*2)*-2*-4)**2.\nAnswer: 18496\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1965*r - 1508. Calculate s(1).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456599 is divided by 689?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47298*r + 28128*r + 36102*r.\nAnswer: 111528*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-8))\/(-25)*-9*1\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - (0 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5071548822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2 - 2)*(-1 + 1 + 2*x) + 0*x**2 - 4*x**2 + 5*x**2 - x**2 - 2*x**2 + 4*x**2 - 120*x**2 + 60*x**2 + 15*x - 1 + 62*x**2.\nAnswer: 10*x**2 + 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-1 - (-7 + 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 78.3. Let i = -32\/161 - 2\/23. Let y = 1.8 + -2.8. What is the second smallest value in g, y, 6, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38380.23917 to the nearest integer.\nAnswer: 38380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -401, -595, -785, -971?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1496 divide 241348184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*q + 24915 = -36727. Solve -35*r = 84 - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 - 10*t**3)*((-2*t + 7*t - t)*(4*t + 4*t - 6*t) - 3*t**2 + t**2 + t**2 - 7 + 7 - 7*t**2 + (0*t + t - 2*t)*(t + 1 - 1)).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/20)\/(19\/(-5) + 4). Suppose 2573 = 4*t + 5*f, 4*t = n*t + 5*f + 1249. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/13)*j)\/j)\/(j**(-1\/6)\/j)*j*j**(-1\/11)*j*j**(-6)*j)\/((j*j*j**(-1\/8)*j)\/j*j**4)**(13\/3) assuming j is positive.\nAnswer: j**(-91073\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.91 + -0.09. Let w = -3 - t. Let r = w + -6. Which is the second smallest value? (a) -6\/7 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-5) - 4 - 4. Let f = 6.5 - 6. What is the second biggest value in f, -12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) + (-18)\/(-10). Let w(t) = 3*t**2 - 2. Determine w(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27826*m*u**2 + 10*m*u - 2537*m + 2020 wrt u.\nAnswer: 55652*m*u + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 4*t**3 - 5*t**3 + (-2*t**2 - 2*t + 2*t)*(2*t + 3*t - 3*t) - t**3 + 2*t**3 - 6*t**3 in the form y + p*t**3 + f*t**2 + x*t and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -329*r**2. Let h(a) = 5*a - 3. Let m(d) = 2*d - 1. Let l(w) = 9*w + 179. Let p be l(-20). Let i(f) = p*h(f) + 3*m(f). What is i(u(g))?\nAnswer: -329*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 596*l - 127 - 1330 + 27564 + 10249 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21040206331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most as big as 10.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/((-730355)\/(-7396))\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 43*h**2 - 173*h - 1. What is z(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63362595*a*c**3 - 785*a + 15795*c**2 wrt c?\nAnswer: -380175570*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2107, 2260, 2413, 2566, 2719, 2872?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192057 + -2892057. What is u rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*j - 57. Solve j*g = 27*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 36 = -30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2 - p**2 + 1 - 2*p + p. Let z be w(0). What is the second derivative of -6*h - 2*h**z + h**3 + 5*h - 2*h**3 wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 120 = -3*f - s, 3*f + s = 120. Suppose 4*r = -4*y - r + f, 5*y = r + 21. Calculate the remainder when 14 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 + 877*j**4 - 1835*j**3 + 11*j**2 - 59619*j + 4 wrt j?\nAnswer: -60*j**2 + 21048*j - 11010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from {i: 3, q: 1, e: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 11*l**3 + 5*l + 8*l**3 - 29*l**3 + 9*l**3 + l**2 to d*l + u*l**3 + v + c*l**2 + h*l**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 323 + -25168?\nAnswer: -24745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9374*m + 1497*m + 331*m.\nAnswer: -7546*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5150 - -5149.9989564. Round g to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*c - 5*a, -a = 4*c + 9 - 23. Let o(q) = 0 + 2*q - 1 - c*q. Let z be o(-6). Solve -4*j - 10 = z*x + 4, -5*j = -2*x + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31682 - -520173647.\nAnswer: 520205329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4474.23 to the nearest integer.\nAnswer: 4474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + (-33)\/(-6). Let h(c) be the second derivative of c**5\/20 - c**4\/3 - 5*c**3\/6 + 3*c**2\/2 - 3*c. Is h(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4255554 - 1254?\nAnswer: -4260141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -754*d + 757*d - 99. Solve -3*g - 18 = -d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4\/5 + 54352*r**3\/5 + 189305672*r**2\/5 + 39307486192*r - 196726790988\/5 = 0.\nAnswer: -8883, -2353, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*v + 4 - 0, 4*x = -4*v - 8. Let h = 1.68 + -0.08. Let f = -1.6 + h. Which is the biggest value? (a) 1\/3 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(13) - sqrt(13)) + 1.\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 761 - 382 - 379.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 - (9 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 - 15*h**4\/2 + 69*h**3\/2 - 65*h**2\/2 - 75*h.\nAnswer: h*(h - 6)*(h - 5)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33152 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23*x**2. Let f be (-5 - -9)*(1 - 0). Let q(g) = -f*g**2 + g**2 + 5*g**2. Give b(q(p)).\nAnswer: 92*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1099 in increasing order.\nAnswer: -1099, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -663259 times -11.6?\nAnswer: 7693804.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 9. Let k be 0\/(-4) + (-20)\/12. What is the closest to s in -1\/2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + m)*(5 + 2*m - 5)*(2*m + m - m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*l - 10 - 12 = 0, g - 17 = 4*l. Suppose 2 = m - g. What is the third smallest value in m, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 113. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -2*i + 2, 0 = -3*y + 12. Let u = -4 + 9. Suppose -j + i = -u. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1. Let t(q) = q + 1. Let c(y) = -d(y) + 2*t(y). What is the units digit of c(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689224 is divided by 2688?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -131*p + 704. Solve -2*k = 10, -43 = 5*y + p*k - 33 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 97, 141, 171, 181?\n\"Answer: -v**3 + 2*v**2 + 53*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u**(-8)*u*u)*(u*(u**(-1)\/u)\/u)**(-1\/26))\/(u\/(u**0*u)*u**(2\/17)*u)**(-41) assuming u is positive.\nAnswer: u**(11912\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*x**3 + (0*x + 0*x + x**2)*(x - x - x) + 6*x**3 - 2*x**3 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 275\/(-176) + 4 - 6\/9*3. What is the biggest value in p, -12, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 4*j + 14. Let t be n(6). Suppose 4*x = -3*q + t*x + 17, 5*q - 22 = 3*x. Suppose -q = g - 5*o, 2*o + 20 = 7*o. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.4. Let d(j) = j**3 - 6*j**2 - 8*j + 9. Let h be d(7). Is c at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7492625.\nAnswer: 5, 7, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 15, k: 3}. Give prob of sequence mm.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/7)*(z*z*z**(2\/65)*z*z)\/z*(z\/(z*((z\/(z*z\/z**(-9)*z))\/z)\/z))**(-34) assuming z is positive.\nAnswer: z**(-199861\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-125)\/6600*9\/(-15)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 69. Suppose n = s - 3. Suppose 0 = -4*i + 3*i + n. What is the remainder when i is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let t = 572 + -575. Let o(j) = j**2 - j + 1. What is t*l(k) - 2*o(k)?\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 40588075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.04, 0.15, 1, -1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-836)\/6*((-38)\/4 - -2). Suppose -s = g - 12*g. Calculate the remainder when g is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23520067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/18 - 114\/(-54). Let i be -1*(2 + j - 15). Which is the second biggest value? (a) i (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -481 and -0.8.\nAnswer: 384.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2536 and -111\/100.\nAnswer: 63400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-568)\/(-40))*25\/(-4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -4.5. Let r = 2 - u. Let a = 43\/2 - 21. Sort r, 2\/5, a in increasing order.\nAnswer: r, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29443769 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: Suppose 0 = -4*o - 4 - 4. Let u be -1*5*o\/(-35). Let p = 33.01 - 33.51. Sort p, u, -0.4 in descending order.\nAnswer: u, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 12)*(83883 - 83883 - 342*m).\nAnswer: -6840*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (425 + 43*w - 425 + w + 3*w - 2*w + (0 + 2 - 1)*(6*w + 0*w - 5*w) + 0*w + 2*w - w)*(-39 + 56 + 13) to q*w + m and give q.\nAnswer: 1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1568 divided by 4.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 796789037 and 23.56?\nAnswer: 796789013.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8\/3 (b) 5 (c) -1 (d) 0 (e) 0.1 (f) -12939\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/(((-40)\/45)\/(-8)) - (-87129)\/(-108796).\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18223?\nAnswer: 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -20*y - 40. Let i(s) = 20*s + 48. Let v(a) = -6*g(a) - 5*i(a). Let c(p) = 3*p**2 - 5*p. Determine c(v(o)).\nAnswer: 1200*o**2 - 100*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 - 221. Let l be 4 + -1*1\/1. Suppose -l*w - k = -5*w. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17767719 is divided by 1972.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -191aa (base 14) in base 13?\nAnswer: -22b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -2\/27, -0.8, -5, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/220 - 12\/44.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 63673228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-2)\/5*-3*315\/2. Calculate the highest common factor of 363 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 161337 and -73.\nAnswer: 161264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*v - 720*v = -5*n - 70, 2 = -2*v for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(1*sqrt(288) + -3)**2.\nAnswer: -2160*sqrt(2) + 8910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 4*l = -12*b + 12, -75*b = -77*b - l + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, -0.04, -9, -5, 140, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 0*q**3 - 50*q + 10*q**4 - 5988 + 5989 as a*q**2 + b*q**4 + l*q**3 + k*q + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 6*l**3 + 2*l**3 + (l**2 - 2*l**2 + 3*l**2)*(-21*l - 21*l - 87*l) + 6*l**3 + 4*l**3 - 35*l**3.\nAnswer: -284*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -2414230?\nAnswer: -2414303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 9:47 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 18. Suppose -5*c + 8 = -2*y, -24*c + 28*c - 16 = 4*y. Determine g(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*f = -19674, 0*k - 4*f = -3*k + 29511. Let n = k + -98459\/10. Calculate the common denominator of -42\/5 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 851 - 94463\/111. Let y be (4 - 504\/90)\/((84\/(-105))\/(2\/5)). Put w, -1\/4, y in descending order.\nAnswer: y, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from gqrjp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55742, -222361, -500058, -888833, -1388686?\nAnswer: -1999617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -91*y**2 - 1912*y + 91. Give f(-21).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugdutgguuugutq. What is prob of picking 3 g?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 + 4*k**2 - 8*k**2 + (k - 3*k + 3*k)*(1 + 2*k - 1))*(-8*k + 22*k + 22*k).\nAnswer: -324*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Suppose -4*f = 5*q - 373, -345 = -3*f + r*q - 42. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 5) in base 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1606 = -1603 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w**5 + 708*w**4 - 2780*w**3 + 1500*w**2 + 3520*w - 1488 = 0 for w.\nAnswer: -1, 2\/5, 2, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i - 2*n, -4*i = i - 2*n - 32. Suppose b + 0 - i = 0. What is the smallest common multiple of (-1 + -5 + 2)*-2 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -337919, -675745, -1013571, -1351397, -1689223, -2027049?\n\"Answer: -337826*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2 - 1\/5*b**4 + 28\/15*b**3 - 22\/25*b**5 + 17 - 6\/5*b - 1\/5*b**6. Determine j so that n(j) = 0.\nAnswer: -3, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 165*o + 10*o + 2*o**4 + 2*o**3 + 0 + 17 - 10 + 4*o**2 to q + g*o**4 + f*o**2 + l*o**3 + n*o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -349a4 (base 11) to base 13.\nAnswer: -19c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110001111?\nAnswer: 110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + q + 1. Let f(k) = k**3 + k**2 - 1. Let c(a) = 11*a**3 + 6*a**2 - 2*a - 6. Let z(p) = -c(p) + 6*f(p). Determine 2*b(r) - z(r).\nAnswer: 3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 1, k: 2}. Give prob of sequence kmmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 222?\nAnswer: 17\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 460 + -487. Let r = -60 - -33. Is r less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76)\/sqrt(4))**2 + sqrt(19)*3*-1 + (-4*sqrt(228)*-2)\/(sqrt(108)*-2).\nAnswer: -7*sqrt(19)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44502833.5 rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047297 rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*d + 77 = 0, d + 155 - 164 = 0. Solve -f*p + 31 = -99 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2) - (sqrt(6)\/sqrt(3) + 5 - sqrt(2))**2) + (sqrt(2) - 6*2*sqrt(2)) + -3)*-6.\nAnswer: 60*sqrt(2) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5301)\/310 - ((-34)\/140 + 3\/21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -188767780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*b - 42, 0 = 2*m - 2*b - b + 38. Let r = m + 17. Let f = 1 + -6. What is the nearest to r in f, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 233*i**2\/2 + 11*i + 7. Let w be d(-7). Round w to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0436 times 10.85?\nAnswer: -0.47306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 27 = s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*w - 62, -w = -5*w - 4. Calculate the greatest common factor of x and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001905 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3858709.\nAnswer: 109, 35401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 6. Let y be r(10). Suppose y*j - 8*j - 20 = 0. What is the common denominator of -57\/7 and (-18)\/j*45\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556186367?\nAnswer: 11, 50562397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -591?\nAnswer: -3\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - 1.8. Let d = -0.1 + n. Let a = -0.4 + 0.6. What is the third biggest value in -0.1, a, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476601 + 1376*y - 1392*y - 476601.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/9, 2, 2\/21, -1\/121?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7468*j - 221173 = -34473 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 10*d**2 - 10*d + 21. Let a be z(-8). Sort -2, a, -7 in increasing order.\nAnswer: a, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 5571275357332.4?\nAnswer: 5571275357332.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -0. Suppose -q*p - 2 = -2. Let o(c) = -c**2 - c + 14. What is o(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10, -b + 5 - 4 = -2*s. Suppose 0 = p, -4*x - b*p = -9*x - 105. Let k = x + 41. What is the highest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m + 156884 = 10*m. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlvaqwvlq. What is prob of picking 1 a and 1 l?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c. Let l(t) = -62098*t. Give l(d(a)).\nAnswer: -186294*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11581*b**5*q + 193*b**4*q + 431*b*q + 3*b + 121*q wrt b.\nAnswer: -231620*b**3*q + 2316*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 442 = -1146*d - 1735 - 9727 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23222 + 4?\nAnswer: 23230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2 - 1 + 3 - 2*m**2. Let n(f) = -5*f. Let o(d) = d. Let z(t) = 2*n(t) + 11*o(t). Calculate y(z(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215097300 divided by 11.\nAnswer: -19554300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*i**2\/5 - 6868797*i\/5 - 1144797.\nAnswer: -3*(i + 381599)*(6*i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Suppose 3*z = 2*z + b*c + 19, z - 2*c = 11. What is the remainder when 13 is divided by 6 + 0 + (2 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 51 + 6)*(64 + 166 - 30)*(3 - 3 + 2*y) in the form p*y + v and give p.\nAnswer: -19600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*i**2 - 38025\/7 - 390\/7*i.\nAnswer: -(i + 195)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9736779817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from {f: 2, n: 2, z: 6, t: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 - 2*k - 1. Let a be u(-1). Let o be 602\/(-49) + a\/14. Is -14 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-280))\/((-3)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829130261?\nAnswer: 71, 11677891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482.3133 - 0.23?\nAnswer: -1482.5433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13332218?\nAnswer: 2, 1021, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**2 - 2 - 3839*t + 3834*t - 3*t**3 + 6. Give y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 0.0686 (c) -226 (d) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/68083265 - 13984643048108\/17769732165. Let f = -787 - w. Let x = f - 3122\/1305. Which is greater: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6 and -55\/1204?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 8 + 3*k + k + 3*k. What is i(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -605*t**3 - 2425*t**2 - 2440*t - 20.\nAnswer: -5*(t + 2)**2*(121*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10180 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315\/209 - 39\/19. Sort -4, -2, p.\nAnswer: -4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14992000 and -29\/74960?\nAnswer: 14992000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 13) to base 10\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21807 + -21805. Put 1, -1.053, -5, z in decreasing order.\nAnswer: z, 1, -1.053, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.06 + -17.103. Which is the nearest to 1? (a) -2\/7 (b) 0.2 (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3275)\/(-524) + (-236958)\/(-8)?\nAnswer: 2, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16. Is 53 a factor of (-159)\/(1 - (2 - t))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.956937 kilometers?\nAnswer: 9956937000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -67*s**2 + 241*s + 17. Let i(o) = -23*o**2 + 77*o + 6. What is 17*i(t) - 6*k(t)?\nAnswer: 11*t**2 - 137*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -14.8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:44 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3471 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.900503cm to millimeters.\nAnswer: 99.00503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 8037712.\nAnswer: 8037712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 14*t + 22. Let d be z(11). What is the hundreds digit of 2\/(2\/197) - (11 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g + 5\/24*g**4 + 0 + 56*g**2 + 0*g**3. Let a(r) = 18*r. Determine a(z(f)).\nAnswer: 90*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58311701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -5 (b) 2 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -484, -2, 184.\nAnswer: -484, -5, -2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12411 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2175*o**3*p + 3*o**3 - 230*o**2*p - o**2 + 11*o*p + 244*o + 4*p - 103 wrt o?\nAnswer: 13050*o*p + 18*o - 460*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f. Suppose 6 = -17*o + 19*o. Solve -3*x - 2*i - 23 = -6*x, 5*x + o*i - 13 = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4839564 divided by 1613188.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + (4*(sqrt(2299) + 0))**2)*2*1)*4.\nAnswer: 294240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 51?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -139224059931138?\nAnswer: -139224059931136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 662372*-151\nAnswer: -100018172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 11*f**2 - 11*f + 12. Let p be h(-12). Let q = p - -5. What is the derivative of 9 - 3*t**3 + 3*t - q - 3*t wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*x**2 - 1891 + 944 + 943)*(14 - 4 + 1) to the form s*x**2 + n + w*x and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 3*w - 3. Let n(h) = -28*h + 2*h**2 + 8*h + 11 + 27*h - 4. Let f(x) = 3*n(x) + 7*v(x). Let g(q) = 7*q - 2. Give g(f(p)).\nAnswer: -7*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002283549 rounded to six decimal places?\nAnswer: 0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42 and -2331975.\nAnswer: -2331933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.83211 from -171683664.\nAnswer: -171683662.16789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -155. Let l be ((-8)\/44)\/(-4 + u\/(-11)). What is the closest to -17 in 0.1, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - h**2 - 29 - 43 + 3*h**2 - 13.\nAnswer: 2*h**2 - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2248, 2160, 2076, 1996, 1920, 1848?\n\"Answer: 2*y**2 - 94*y + 2340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17730193 by -2.\nAnswer: -17730193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20983\/34955 - 2\/6991. Put -1, -2, 28, -4, x in increasing order.\nAnswer: -4, -2, -1, x, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 1415*f + 14056. Give s(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -434 + 46*x + 862 - 438. Let w(l) = -9*l + 2. Determine -3*m(d) - 16*w(d).\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.104 and -314.\nAnswer: -313.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2978 = -476*a + 410*a - 586 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*-2)\/((-1*sqrt(36))\/sqrt(3)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293057623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s + 2. Give v(-9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 1718714*j**2 - 369287613190*j - 17352721388350.\nAnswer: -2*(j + 47)*(j + 429655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-8))\/(3\/(-20)). Solve 4 = -2*s - 2*a, -s = -2*s + 2*a + x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s - 303*s = -16767 - 6828 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -19 - (921 + -817)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*f + 149*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -13*p**8\/336 - p**4\/4 + 11*p**2. Find the second derivative of c(m) wrt m.\nAnswer: -260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/28)\/(5\/((-120)\/(-18)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15625 = 1694*p + 13173 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 7. Suppose -12 + 2 = 2*p. Let y be q(p). Let i be 1 + y*(-3)\/(-9). Solve 2 + 11 = -5*f - i*r, -5*f - 16 = -r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93, -188, -283, -378, -473, -568?\n\"Answer: -95*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3419613 - 2.\nAnswer: -2.3419613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/6)\/((-2)\/27). Suppose -4*p + 79 = -3*z, -2*z - 59 + 8 = -3*p. Let w = z - -69. Calculate the highest common factor of h and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -885000, -885008, -885030, -885072, -885140, -885240, -885378, -885560?\n\"Answer: -y**3 - y**2 + 2*y - 885000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24ea5 (base 16) to base 9\nAnswer: -250365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11072 = 755*b - 10068 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k + 281. Let a(w) = -4*w + 48. Let j(i) = 6*a(i) - d(i). Suppose 2*y - 6 = -y. What is j(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75018197*n + 56412666.\nAnswer: -75018197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.231 + 0.069. What is the third biggest value in -1\/2, 5, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*t - 79*t + 31*t - 75*t + 5208 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 3:27 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9670602631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*c**4 + 675402*c**3 - 1303*c + 1635.\nAnswer: -456*c**2 + 4052412*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*p**4 - p**2 + 135*p**4 + 129*p**4 + 23*p**3 - p + 107*p**3 to n + o*p**3 + a*p + z*p**2 + d*p**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i - 2. Let g be v(-5). Let h(r) = r**2 + 3*r - 3. Let q be h(g). Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12774, -25661, -38548, -51435, -64322?\n\"Answer: -12887*o + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 69. Let s(v) = -23. Let g(h) = -2*n(h) - 7*s(h). Let u be g(12). Suppose 4*b = -0 - 8. Do u and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 4*m**2 + 4*m - 4. Suppose 24 = 3*p - p. Let f = 8 - p. Let u(v) = -v**3 - v**2 + v - 1. What is f*u(g) + w(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.0783 and -0.0364.\nAnswer: -1.1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*d + 2*b + 2, 2*b + 2 = 4*d. Which is smaller: d or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39552.91 and -23.\nAnswer: 909716.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 145 = -69*t + 66*t, 2*q = 4*t - 196. Which is the nearest to 2? (a) 3 (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**2 + i**4 + 397 + 603*i**5 + 2*i + 189 + 58 - 172 wrt i.\nAnswer: 36180*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -23*o**2 - 2*o. Let g(l) be the first derivative of -l**2 - 1671. Determine z(g(p)).\nAnswer: -92*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110.7 + -110.5. Which is the third biggest value? (a) 31.5 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.051 + 15.949. Let i = n + -12. What is the nearest to 0 in 0.1, i, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*m + 66, 0 = m + 48*s - 44*s - 19. What is the highest common divisor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230325 divided by -111.\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 2*j**7\/21 - 2*j**6\/15 - j**5\/5 + j**4\/3 + 3*j - 6. What is p in g(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277 - 190. Let y = h + 16. Suppose 5*b - 79 + 19 = -3*f, 0 = -4*f + b + y. Calculate the greatest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 + 0.9.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 6*l**2 + 4*l)*(1 + l**3 - 1) - 3 - l**5 + 0 + 3*l**5.\nAnswer: -4*l**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96298307 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 285188388 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 40 = -i. Suppose 5*a + i - 18 = 0. Suppose -3*g + a*g = -407. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -148\/7?\nAnswer: -148\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 40*z + 252. Let f(t) = 4*t + 10. Let x(m) = -m + 1. Let c(w) = -f(w) + 5*x(w). Let s(o) = o + 1. What is z*s(y) - c(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 138*l**2 - 1087*l - 408. Give s(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*b**3*h**3 - 2*b**3 + 3*b**2*h**3 - 153*b*h**3 wrt b.\nAnswer: -558*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9 + 5*s**2 - 4*s**2 - 15*s - s**3 - 17*s**2. What is the remainder when 33 is divided by q(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105905, -211683, -317463, -423245, -529029?\n\"Answer: -a**2 - 105775*a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*r + 4648*r + 209160 = -1451*r for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2013 + 2015. Suppose 1\/2*u**4 + 0*u + 15\/4*u**5 + 1\/2*u**l + 0 - 11\/4*u**3 = 0. What is u?\nAnswer: -1, 0, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 1 - 9. Suppose j*h = -5*h + 28. Determine b so that -5*b**3 + b**3 - h*b**4 - 2*b**2 + 2*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9 - 2 + 14 - 2 - f**3. Let g(v) = 12*v**3 - v - 11. Calculate -2*g(n) - 22*p(n).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1*6)\/(sqrt(11)*1*3).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddududdduddddddudd. Give prob of sequence du.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0, -93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -2, 1.\nAnswer: -2, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0*s**5 + 0*s - 1\/20*s**6 - s**2 - 11\/6*s**3 + 0 + 0*s**4. Differentiate k(q) wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52218392.\nAnswer: 2, 461, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -354 in -3, 2\/11, 4, 3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137\/19 - 940\/133. Is -9\/2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6849 and -5.\nAnswer: 34245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 1, a: 3, k: 3, z: 1}. What is prob of sequence ax?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 9 = -16*z. Let m be -1 + (-2 - -3 - z). Which is the third smallest value? (a) m (b) 25 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 4\/5, -0.0334, -63, 0.3 in descending order.\nAnswer: 4\/5, 0.3, -0.0334, -63, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = 3*k + 88 + 60, 4*h + 85 = 4*k + 5 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 667915307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -26. Let j = z - 37. Round j to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/16)\/(2\/20). Let p = j + -13. Suppose -p*t - 240 = t. Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 645, 1476, 2661, 4212, 6141, 8460?\nAnswer: 11181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 5324?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495724483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 229.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 5*o - 23155 = 0, 0 = x - 3*o + 4623. Let m = x - -102023\/22. Let f = 3792 + -83469\/22. Find the common denominator of m and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/14 and 102\/(-22) - (1 + -6)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2747\/9 - 305. Sort n, 5\/6, 0.1, -0.2 in increasing order.\nAnswer: -0.2, 0.1, n, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 41*f**4\/24 + 4*f**2. Let w(o) = 2*o**2. Determine w(y(h)).\nAnswer: 3362*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 66027 (base 9) to base 10\nAnswer: 43765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 d, and 1 p when four letters picked without replacement from {o: 1, r: 1, d: 1, e: 6, p: 3, y: 4}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 149203021?\nAnswer: 149203020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2. Let r(j) = 1335*j**2. Determine r(v(n)).\nAnswer: 133500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*o - 547 = -5527 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/389495 and -29\/13450?\nAnswer: 1047741550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2 - 4*p. Let g be q(4). What is the least common multiple of 9 and 7\/(70\/g) - (-12)\/20?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*v = -172, 4*c + 237 = -0*c - v. Let f = c - -82. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q + 2*q = 0. Let k(i) = 1 + 2*i**2 - 3 + q*i - 1 + i - 3*i**3. Calculate the smallest common multiple of k(-2) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -565 and 6.8.\nAnswer: -3842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/2)\/(1446\/(-2892)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 5, -0.69?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -118, -372, -862, -1666, -2862?\n\"Answer: -13*a**3 - a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)\/sqrt(4) + -2 + (2*sqrt(77))\/sqrt(7))*2 + 0 + ((sqrt(198)\/(sqrt(6)*2))\/sqrt(3))**2.\nAnswer: -13\/4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 4 + -1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -635\/8 + 79. Which is the nearest to -0.1? (a) 23 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883*h - 124 = -914*h. Sort 2, -781, h in decreasing order.\nAnswer: h, 2, -781","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -117, -171, -223?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-182934*c**2 - 4 + 91640*c**2 + 92089*c**2)*(-1 + c**2 + 1) as x*c**2 + w*c + y*c**3 + r*c**4 + g and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 135. Calculate the remainder when 42 is divided by k*(0 + (-3)\/(-9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928309330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*n**4 - 7*n**3 - 3*n**2 + 2*n + 212595?\nAnswer: -44*n**3 - 21*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8629*n - 3*n**2 + 3 + 8625*n - 25891*n + 8623*n to the form b*n**2 + p + t*n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -23. Let n(z) = -z**3 + 4*z**2 + 2*z + 3. Is n(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -2*g + 1\/36*g**4 + 1\/18*g**3 + 0 + 0*g**2. Factor b(n).\nAnswer: n*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -6. Suppose 0 = 7*p - a*p - 35. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6d + 144?\nAnswer: -b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*l = -16, l = -5*j - 0*l + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 175?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-4*(-3 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h + 16515 = 18279 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 57*h - 24. Give b(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*r - 4*c + 34, 23 = r + 3*c. Let f = -19 - -59. What is the highest common factor of r and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o + 3. Let n be w(6). Suppose 7*f + 5932 + 753 = 0. What is the tens digit of f\/(-15) - 6\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 32. Let p be m(-5). What is the greatest common divisor of 176 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021419 rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 12*k**2 - 4*k**2 - 3*k**2 + 12*k**2.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/475 + 3828\/3325. What is the nearest to 2 in 3, f, 1\/4, -11\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*f**2 - 2*f + 4\/7.\nAnswer: 2*(f - 1)*(5*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbbgbbbb. What is prob of picking 2 b and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16203 + -16200. Let h(w) = -w - 1. Let g be h(-4). Determine u so that -3*u**l - 2\/3 + g*u + 2\/3*u**2 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c. Let y be m(-2). Which is smaller: y or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.590716042 times -0.2\nAnswer: 0.1181432084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 10) in base 16?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10494 is divided by 1928?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12950*f**3*w**3 + 74982*f**2*w**3 - w**3 wrt f?\nAnswer: 77700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/11 (c) 1 (d) -3095 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:05 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -56*t + 13\/2*t**4 + 157 + 0*t**3 + 0*t**2. What is the first derivative of g(o) wrt o?\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -o, -3*o = -k - 1 - 4. Put k, -1, 6 in decreasing order.\nAnswer: 6, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 - -288. Let d = 159 - x. Suppose -160 = -4*a - d. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 0.2111677\nAnswer: 0.4111677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(-33)*(-1335)\/890\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*s. Suppose -2 = -g + s. Suppose 0 = h + 2. Which is the closest to -1? (a) -5 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1745884 or 1745909?\nAnswer: 1745909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from ixiiixiii.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5625 and 25650.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -1\/12*f**4 + 9*f**2 - 9 + 0*f**3 + 1\/12*f**5 + 0*f. Let b(i) be the second derivative of y(i). Let b(c) = 0. Calculate c.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 - 186. Let y = -404 - w. Let l = 6 + -10. What is the third biggest value in y, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {i: 5, o: 4, f: 3, c: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -390429, -390366, -390259, -390108, -389913, -389674, -389391?\n\"Answer: 22*w**2 - 3*w - 390448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = 6*o - 5*g, -2*o - g = 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84555929?\nAnswer: 211, 400739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 99 = -6*k. Let p(f) = f**2 - 8*f + 4. Calculate the remainder when p(11) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 17. Suppose 0 = -4*v + 2*j + 90, 2*j = 3*v + 6*j - 40. Let x be t(v). What is the closest to x in -1, -5\/3, -0.5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -30 - (-4 + -3)) + (2 - 35).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 + 233.5. What is the third smallest value in 1.6, v, -6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 183.4 in -11, -2\/7, 2, 2\/85?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y + 382700 + 249920 = 34*y. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 26*j**2 - 17*j - 447. Determine k(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 21076*c - 3688265. Give v(175).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63768777 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-30))\/(45\/(-390))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61740 and 756?\nAnswer: 185220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l - 7\/2*l**2 + 1\/3*l**3 + 14. Calculate a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 128 (b) -1 (c) 0.361 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1935*b - 62580 = -289*b - 156*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.7555 meters in kilometers?\nAnswer: 0.1907555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3\/2 + 26958*k**2 - 538935*k\/2 + 673575 = 0.\nAnswer: 5, 17962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.92255 decades to years.\nAnswer: 299.2255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24030149 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 60. Suppose 0*d = 3*d - k. Suppose 2 - 18 = -d*n. Solve -v + 9 = 2*v, 22 = -2*g + n*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 + 7*j**2)*(-2 + 2 + j - 3*j + 5*j - 3*j + (-2 + 3 - 3)*(5*j - 4*j + j) - 3 - 2*j + 3 + 1 + j - 1).\nAnswer: -45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*n**3 - 1479*n**2 + 1465*n**2 + 8*n**3 + 19 wrt n?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 14. Let t(j) = -3*j - 7. Let x(m) = 10*t(m) + 4*v(m). Let o be x(-8). Let y = -23 + o. Calculate the smallest common multiple of 7 and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77607, 77605, 77603, 77601, 77599, 77597?\n\"Answer: -2*m + 77609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxuxcxxxuumyyux. What is prob of picking 1 m, 1 y, and 1 f?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let k(t) be the first derivative of 0*t**2 + s*t**5 + 2\/3*t**3 + 0*t**4 + 1\/6*t**6 + 0*t + 1. Find the third derivative of k(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 8\/969?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*t + 50 = 0, -g - 3*g - 53 = -5*t. Let y = g + 20. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((5688\/(-15))\/(-24))\/(4\/(-2)) and 63\/134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 273. Let a = -55 + q. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 602\/11, -43?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + g**2 + (2 - 2 + 2*g)*(2 - 2 + 2)*(-17*g + 4*g + 27*g)*(1 + 0 - 4).\nAnswer: -167*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 33 = -57. Let w be 35\/3 - 6\/(-18). Suppose d = 186 + w. Calculate the highest common factor of j and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.14189433 to four decimal places.\nAnswer: 3.1419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*(n**(-1\/3)*n)\/n*n)\/n)**44\/(n*n*n\/(n**(-2\/7)\/n))**11)\/(n**(3\/11)*n**(-7\/6)*n)**17 assuming n is positive.\nAnswer: n**(31595\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 16) to base 2.\nAnswer: -100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -14\nAnswer: -3.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 11.12.\nAnswer: 14.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 922702 and 5.\nAnswer: 4613510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3.9, -0.1, -5\/2, 0.1, 0.6, -0.0486?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-53720)*237)\/(1\/104).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -22. What is the common denominator of 3*j\/(-45) - 3 and -85\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 69, 176, 297, 408?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 - 4*k**2 + 6*k - 1. Let g be w(3). What is the units digit of ((9\/12)\/3)\/((-5)\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:15 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736944 and 858.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 2.69 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 224 - 224. Let p(z) = -6*z. Let m(x) = -7*x. Let c(w) = 3*m(w) - 4*p(w). What is k(c(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p. Suppose 3*t - 7*t - 8 = p. Let b = t - -6. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129598513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -95 - -112 - (13 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(sqrt(130) - (sqrt(130) - 2*sqrt(130)) - sqrt(130)))\/((2*sqrt(70)*-4 + sqrt(70))\/sqrt(7)).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - -0.75. Let n = 289 + -142. Let r = 147 - n. Is i smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/95 - (-2028)\/(-5928). Let u = 0.8 + -1. Sort 0.4, u, f in decreasing order.\nAnswer: 0.4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from xxrxxrxzxzxzxxxj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2423*j = -2*z - 2310*j - 2371, -4*j + 82 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20199563 divided by -239?\nAnswer: -84517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/43 (b) -64 (c) -3 (d) -1\/5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let m(r) = r - 67. Determine m(v(k)).\nAnswer: -2*k - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 14*o + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1906*((-2)\/56 + 0). Let k = -200\/7 - p. Let j = -1015\/6 - -166. Calculate the common denominator of j and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 202855.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h + 3. Let b be o(-2). Let w be (b - (0 + 1)) + 2. Suppose -5*d - 360 = -5*l, -2*d + w*d = 2*l - 152. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(343) + 2 + -1 + sqrt(343) + 5*(sqrt(343) + -1))**2.\nAnswer: -392*sqrt(7) + 16820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o - 1. Let q(a) = 5*a**3 - 11*a**2 - 26*a. Let j(m) = 14*m**3 - 33*m**2 - 73*m - 1. Let z(w) = 4*j(w) - 11*q(w). Determine -6*p(i) + z(i).\nAnswer: i**3 - 5*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. Suppose 0*f = q*f + 198. Let o = -30 - f. What is the remainder when 6 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10141 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = -2*d + 44, -d - 3 = 2*r. Suppose j = 4*j - 15, 0 = 3*v + 3*j - 24. Suppose -2*q = v - d. Solve q*y - 20 = 4*h, -4*y = 5*h + y + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1621154 + -6014?\nAnswer: 1612140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*t = -2*t + 765, o - t = 162. Let a = o - 35. Let l be (a\/(-14) - -5) + 4\/(-14). Let k(u) = -u**2 - 6*u - 6. Determine k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 50*n**2 - 9*n + 3. Give j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/442 - (-21387)\/(-13). Let d = -1130 - s. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32876 + -0.02876. Which is the third smallest value? (a) -0.5 (b) 1\/3 (c) 2\/9 (d) -2\/9 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leel when four letters picked without replacement from {l: 4, e: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2 + 2\/15*g**3 - 12\/5*g - 21. Factor f(t).\nAnswer: 2*(t - 6)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12516 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8262532 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 242, 241, 240?\n\"Answer: -f + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 65*r - 192. Suppose 4*p - 3*g - 18 = -7, 0 = 2*p - 5*g + 5. What is the tens digit of z(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1767.088 hours to microseconds.\nAnswer: 6361516800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96579443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16 - -2.66. Let b = 2.5064 - i. What is b rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*a - 4 - 7 = 0, 7 = -5*j - 4*a. Let i be (72\/9)\/(j\/2). Suppose i + 12 = n. What is the remainder when n is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806892 divided by 588.\nAnswer: -67241\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 2*r - 13)*(0*r**4 + r**4 + 3*r**4) + (-2*r - 2*r + 6*r)*(2*r**4 + 0*r**4 - r**4).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -785 + 507. Let z = q + 278.00000493. What is z rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbwpk. Give prob of sequence pwp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 824.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - -71. Let l = -76 + c. What is the greatest common divisor of l and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 15*z - 13*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*k + 1. Is 138\/10 + k\/(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 8 + 23)*(z + 0*z + z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 5*w - 47 = 0, -9 + 15 = 4*n - 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/81088 and -45\/86156.\nAnswer: 1378496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25530900 rounded to the nearest one hundred thousand?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2320 and -527?\nAnswer: -1222640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-5758.\nAnswer: 633.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 379, -1, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, w: 2, m: 1, p: 1, k: 1}. Give prob of sequence wek.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-27781.2\nAnswer: -27781.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, -25 in descending order.\nAnswer: 39, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -17*m**6\/10 - 9*m**2\/2 - 2*m - 30. Differentiate z(j) with respect to j.\nAnswer: -204*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6327 - -0.3673. Which is the closest to p? (a) -14 (b) -0.3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*o - 619 = 582, 0 = 2*o + 6. List the prime factors of i.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6664 and 87771.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18016489 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 21 = 4*k. Solve -b - 3*o + 4*o = 2, 18 = -k*b - o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3553 and 1463?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 115548994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53250966*y**2 - 56090819 with respect to y.\nAnswer: 106501932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4651.\nAnswer: 4\/4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136*r**2 + 352 with respect to r.\nAnswer: -272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-152)\/(-114))\/((-6)\/(-7) - (-16)\/(-24)). Which is the fourth biggest value? (a) -3 (b) l (c) -0.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 - v**4\/3 + 2*v**3 + v**2\/2 + 21*v. Does 9 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*d**2 - 75*d**2 + 764*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*t + 60404 + 60704. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -4\/7 (c) -2.629 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 14.3.\nAnswer: -21.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 14. Is 20 a factor of (d\/12)\/(2\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*i = -92, 5*i - 5 = -2*p + 59. Let k = 71 + -56. Calculate the remainder when p is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115776 and 18252.\nAnswer: 19566144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20 + -1 - (1 + -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 25066 = -2*c, -4*c - 9*a + 5*a = -50132. Suppose 5*f - 5*p - 8907 = c, 0 = 2*f + p - 8585. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 6*t + 5. Let c be r(-6). Suppose 3*x - 41 = -0*j + 2*j, 5*x + c*j = 35. What is the remainder when 20 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 20*d + 3.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1932 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(-87*285\/(-421515)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -62. Let s be (-6)\/(-15) - 14\/10. Let b be s - (-2 - z\/(-18)). Is -1 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -53\/15*q**3 + 13\/15*q**4 + 0 - 114*q**2 + 1\/150*q**5 + 0*q. Factor a(h).\nAnswer: 2*(h - 1)*(h + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a + 2 - 15*a - 10*a. Calculate the remainder when p(-2) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 46\/3. Let n be ((-5)\/(-5))\/(8 - 3). What is the closest to j in -1, -1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 428.8 - 428.3. Which is the smallest value? (a) -4.1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:46 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943278491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2, x = 3*s - 2 - 2. Suppose 2*h - h - 1 = 0. Let u = h + x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213*-9.\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1677, -1844, -2011?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*b**3*u + 23*b**2 - 5*u wrt b?\nAnswer: -534*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11645 = -2*k, 3*a = -k + 3338 + 2484. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464260250 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4 (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13094909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 572 = -137 + 215 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y + 3*a + 2, 4*a = -12. List the prime factors of 27 - (y - -2 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 9 (b) 0.1 (c) 2\/9 (d) -30.8 (e) -2 (f) -2\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 = 0.183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 66*n**2 + 63*n + 138. What is r(34)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b + 131. Let h be j(-1). Suppose 0 = 2*z - 98 - 20. Let g = h - z. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-9))\/(1\/7874). Let o = b - -4368. Calculate the common denominator of -85\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24264 and 240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:16 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:12 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 6 - 2*t - 3. What is k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41820916?\nAnswer: 2, 10455229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -39. Sort -14, -3, m in decreasing order.\nAnswer: m, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 94.\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1960 - -7.6.\nAnswer: -1952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c = -3*a - 2, -4*c - 17 = -3*a. Let g(b) be the first derivative of 1\/12*b**a + 0*b - 1\/8*b**2 - 2. Factor g(l).\nAnswer: l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 4)*(0*n + 2*n - n) + 2*n - n + 7*n)*(-23 - 2 - 7).\nAnswer: -320*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = -42. Let q be (-3)\/(-2)*((-280)\/225)\/(-14). What is the third smallest value in 0.4, b, 2\/11, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 8:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6466.8 or 182?\nAnswer: 6466.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18558, 18399, 18252, 18123, 18018, 17943, 17904, 17907?\n\"Answer: c**3 - 166*c + 18723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32618784 divided by -552\nAnswer: -59092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxbks. Give prob of picking 2 b and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 5. Let h(i) = -i + 2. Let j(d) be the second derivative of -d**3\/3 + 11*d. Let k(t) = -2*h(t) - 2*j(t). Give -5*k(q) + 4*z(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + 11. Suppose -7*c + z + 9 = 0. Solve -6*a = -10*a - c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.08 (c) 4\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44686 is divided by 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, -1\/16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 18*o + 2*o**2 - 160 + 170 to the form f + w*o + s*o**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 73 = -63. Let u be 8 + -4 + -7 + (4 - d). Solve 18 = 6*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607831.\nAnswer: 3, 289759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -5 (b) -7 (c) 3 (d) -102 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103100 (base 4) in base 7?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 0.41. Let h be 72\/33*((-189)\/(-81))\/(-7). Sort h, y, 4 in decreasing order.\nAnswer: 4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = -8. Suppose -4*y = 5*o - 8*o - 23, -13 = 3*o - 2*y. Which is the closest to o? (a) 3\/5 (b) g (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let q be l(0). Let k = -44 + 91\/2. Which is the nearest to 1? (a) q (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 182701\nAnswer: -2\/182701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71873, -143781, -215693, -287609?\n\"Answer: -2*t**2 - 71902*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*c**2 - 3*a*c*v - 2*a*c + 5*a*v - 1671*c**3*v - 49*c**2*v + 365*v - 7 wrt c.\nAnswer: -4*a - 10026*c*v - 98*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from {a: 3, m: 3, c: 8, o: 1, j: 1, t: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/55 - (-4)\/(-22). Suppose 0*u - 4*u + 4 = 0. Let n = 0 - u. Is v > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.2 (b) 0.4 (c) 9854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -19 - 2\/21*s**3 + 12\/7*s - 5\/7*s**2. Factor i(u).\nAnswer: -2*(u - 1)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y - 4. Let m be k(2). Let r be m\/1*(-4)\/(-16)*-2. Solve 2*t + 6 = -r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 184*q - 668 - 2276 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10665, -21219, -31661, -41991, -52209?\n\"Answer: 56*b**2 - 10722*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 13*l**2 - 1. Let g be k(13). What is the closest to g in -0.2, 1\/3, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/30 - 2032\/(-1540) - 3\/7?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3476376693.\nAnswer: 3, 8999, 42923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(125) + (sqrt(125) - (3 + -2 + sqrt(125))))**2 - sqrt(125)).\nAnswer: -756 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3 - 91*v**2\/2 - 24*v + 23. Calculate the remainder when 11 is divided by q(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-2*sqrt(2)) - (sqrt(4)\/sqrt(2) + sqrt(2) + -4))**2.\nAnswer: -20*sqrt(2) + 57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1689 + 1689.0202. What is c rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 + 2440*p\/3 - 372100\/3.\nAnswer: -4*(p - 305)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l - 57. Let b be x(11). What is the third derivative of -116 - b - 4*g**2 + 242 + 3*g**2 + 24*g**3 wrt g?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6*p + 3*p, 2*m = 3*p + 15. Let r(g) = 3*g - 6. Let a be r(3). Solve -m*n = o, a*n + o = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9*-3 + 61. Let n = v + 68. What are the prime factors of n?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 + q**2)*(-1 + 0 + 0 - 2*q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 2 - 7\/40*u**4 - 1\/100*u**5 + u**2 + 0*u - 6\/5*u**3. Determine l, given that c(l) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/4)\/((-1)\/64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmlmmmkm. Give prob of picking 1 l and 1 m.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -7\/6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 920623 and 22352?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (-5*(sqrt(343) + sqrt(343) + 0))**2) + -4.\nAnswer: -34304 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -n. Suppose 4*b - 103 = -h, n*b - 349 = -3*h - 0*h. Suppose 2*s = m - h, 5*m + 4*s = m + 524. Is m 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 (-36 + -5 - -37) + (2\/1 - -31836)?\nAnswer: 2, 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*l + 6*p + 12, l + p = -1. Put -0.4, 7, l, 4\/3 in descending order.\nAnswer: 7, l, 4\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)*(h\/(h*h**(2\/13)\/h*h*h))\/(((h*h\/(h**(2\/13)*h))\/h)\/h*h)*h**(-3)\/(h**(-2\/15)\/h**(-1\/2)) assuming h is positive.\nAnswer: h**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2691 and 3551.\nAnswer: 9555741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*b - 135*b - 239*b - 19 = 3*w, 4*b = 4*w - 28 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4416423 (base 8) in base 9?\nAnswer: -2208340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -4 (c) -3\/47 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4213029 centimeters?\nAnswer: 4213.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/15)\/(2\/(-210)). Suppose 0 = -3*b + 12*b - t. Calculate the greatest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.2 - 67.13. Let h = 3 + y. Let d = 0.14 - h. What is d rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose c*z = -z - 9. What are the prime factors of 4*(z + 11\/2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 7*w**2 - 15*w - 4. Differentiate m(g) with respect to g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**3*z + 1035105*h**3 + 122599*h*z + 167*h wrt h?\nAnswer: 114*h*z + 6210630*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = m - 2327 - 10788, 5*m + 5*b - 65435 = 0. List the prime factors of m.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1802 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8 and 11\/184686420.\nAnswer: 369372840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 256 = -360. Let l be (-14)\/((-10)\/45 - h\/(-117)). Let g = l - -96. Solve 3*w = g*c - 2, 3*c = w - 5 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44160 and 338790?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 2*h + 3. Let r be w(2). Let b = r + -3. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 4 (c) -0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuwvppxpzzpxupzu. Give prob of sequence xxx.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.226948 rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c**2 - 66*c**2 - 20*c**2 - 3*c**3.\nAnswer: -3*c**3 - 25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -273948 and 3866024?\nAnswer: 4139972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 37*x + 23*x + 4 - 45*x. Let f(r) be the first derivative of 4*r**2 + 2*r - 960. What is -11*f(j) + 6*l(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65021 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) 5 (c) -3 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170518229 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 81361737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2461*f**3 + 2446*f**3 - 4977*f**3)*(-1 + 1 - f) + (-f + f + f**2)*(f**2 - 1 + 1).\nAnswer: 71*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7 - -5) + 33 - (-3 - -14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.06. Let a = 8 - 3. Let q = -5.2 - -7.2. What is the nearest to 1 in f, a, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/2 - 2367*l**2 - 931410*l + 1872300 = 0. What is l?\nAnswer: -790, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**4 - o**3 + 2*o + 2. Let z(k) = k**2 - 11*k + 4*k**3 + 10*k**4 - 7 - 8*k + 12*k. Let s(j) = 14*a(j) + 4*z(j). Factor s(w).\nAnswer: -2*w**2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(0 - (-1 + -1)). Suppose 0 = -h*l + 5*l + 45. List the prime factors of 9\/l*(1 - 11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22214 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1)\/(-134 + 97).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15642544 is divided by 167?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3207000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/11)\/n**13 assuming n is positive.\nAnswer: n**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 355*y**2 - 7371*y + 7371*y + (0*y + 3*y - y)*(-12 + 12 + 2*y).\nAnswer: 359*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 10. Let b be d(-6). Suppose 4*z + 420 = b*s, 0*z + 117 = s + 2*z. List the prime factors of s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - a + 26*a - a.\nAnswer: 24*a - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 168\/35)\/((-798)\/35)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(sqrt(17) + sqrt(17)*1) + -1 + sqrt(153) + 4 + sqrt(17)*-2 + sqrt(17) - (sqrt(102)\/(sqrt(12)\/sqrt(2)) + sqrt(136)\/sqrt(8) + -3 + -5))**2.\nAnswer: -264*sqrt(17) + 2569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 0*w)*(-7 + 3 + 8).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zswgy. Give prob of picking 1 z and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2258452.94261 and -30.\nAnswer: 2258422.94261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (747\/45 - 17)*(-25)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*s = -3*s - 8910 - 2480 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 - 357635*a**3\/4 + 7993701051*a**2\/4 + 9992595715*a\/4 + 1998537025\/4 = 0 for a.\nAnswer: -1, -1\/4, 44705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-453)\/604*1\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*b + 3*b. Let z(n) be the first derivative of n**3\/3 - n**2\/2 - 6*n + 1. Is z(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*v - 40 + 20, -v - 2*s - 14 = 0. What is the third smallest value in -0.3, 1\/3, v, -47?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0167858 times -2\nAnswer: -0.0335716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -5*j + 21, -22 = -5*j + 2*q. Let a(d) = -d**2 + 8*d - 14. Give a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6753*q - 32912 - 108901 = 0 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3270\/95157*12\/(-20)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 84\/5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-882)\/24))\/(((-120)\/(-35))\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let n be s(1). Let m(f) = -9*f + 2. Let q be m(n). Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525 (base 6) in base 15?\nAnswer: -2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18099313 and -0.01.\nAnswer: -180993.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0 + 7\/6*i**3 + 1\/12*i**4 + 3*i + 9\/2*i**2. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -141, -316, -567, -900, -1321, -1836, -2451?\nAnswer: -3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7942185 bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 + 444\/(-64))*-1 and (62\/36)\/(2\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**7\/420 - d**6\/90 + d**5\/60 + d**4\/24 - 3*d**2. Let j(l) be the second derivative of i(l). Factor j(y).\nAnswer: 2*(y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -52.4 (b) -0.5 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -490941 divided by 99?\nAnswer: -4959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68702 + 97906 = 52*r. List the prime factors of r.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-12))\/(6\/(-18)). Suppose -3*a = -4*g + 54, 2*a + 7 = g - 2*a. Let w = -11 + g. Solve k + v = 2*h, -w*h - 6*k + 8 = -2*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46c (base 14) to base 9\nAnswer: -1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319816 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10520 - 34*v + 10520)*(4*v + v - 6*v) + 0*v**2 + 2*v - v**2 + 0*v**2.\nAnswer: 33*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3078 divided by 1539\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 746 - 760 = -2*q, 4*q - 25 = 5*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*b**6*d + 12411*b**6 - 443*b**2*d + 4*b + 51 wrt b.\nAnswer: -5280*b**3*d + 1489320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - w + 11*w - w**2 - 15*w.\nAnswer: w*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -4*9\/(-12). Let y = -6 + 4. Put k, 0, y in descending order.\nAnswer: 0, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 8\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1308 = 18*n - 23*n + j, 0 = -4*n + j + 1047. What is the remainder when n is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 200.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43206017?\nAnswer: 659, 65563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**9*g\/g**12*(g**(-1\/3))**(-22))**(-4\/43) assuming g is positive.\nAnswer: g**(140\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2950*j - 13582. Calculate s(-5).\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 1.94. Let y = -1096 + 323. Let p = 773 + y. Is z equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*o = -6*o - 220, 2*n + 148 = -3*o. Let r = -66 - n. Let j be (-2 + 1)\/((-2)\/6). Put j, -5, r in decreasing order.\nAnswer: j, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1491.9 - -744.2. Let d = 96.7 + n. Let q = d - -650.999999394. Round q to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i. Let y(v) be the first derivative of -29*v**2\/2 - 174. What is y(o(c))?\nAnswer: -406*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2916 = -474*q + 478*q. Let g = q + 3671. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61382ml in litres?\nAnswer: 0.00161382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 22 = 4*w, -w - 3*u - 2 - 3 = 0. Let d be w\/(-14) - (-18)\/14. Suppose -v - t + 2 = d, 5*t = -v - 7. Solve 1 = y - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1380bd?\nAnswer: -1380be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3813.216179 to the nearest 10.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93819*l**2 + 9*l + 857.\nAnswer: 187638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**25\/g)**(-4\/25))**(2\/3))**19 assuming g is positive.\nAnswer: g**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q - 2. Let t(d) = d**3 + 139*d - 10. Let r(l) = -5*f(l) + t(l). Factor r(v).\nAnswer: -4*v*(v - 6)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/(-2) - (-36 - -27). Let h = 2\/165 - -157\/660. Which is the closest to -1? (a) 1\/8 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + j - 6*j**3 + j**3 + 109 - 5*j in the form m*j**2 + q + r*j + k*j**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w*w*w**(-3)\/w assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 23760648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:17 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11625, -14790, -17955, -21120, -24285?\nAnswer: -27450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*b = -22, -15*b + 10*b + 17 = -2*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2 + 810*f - 53898 with respect to f.\nAnswer: -8*f + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 + 5*y - 12. Calculate the remainder when 43 is divided by f(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 6. Let d = g + 3.2. Let l = -2\/227 + 1147\/1362. What is the third biggest value in d, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-1)**2 + 0 + sqrt(76) - (sqrt(76) + -4 + 1*sqrt(76))) + 2*(sqrt(76)*2)**2 + sqrt(76) + -1 + 1.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82, 81, 90, 115, 162?\n\"Answer: k**3 - k**2 - 5*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7086303 times -11.1?\nAnswer: 78657963.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and 14.8.\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051542 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 9) in base 3?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93609 and 1902.\nAnswer: 178044318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3509 + 249156\/71. What is the common denominator of f and 37\/9?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 417 and 1310184.\nAnswer: 182115576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 - s**4*u - 12*s**3*u + 3*s**2*u + s**2 - s wrt s?\nAnswer: -120*s**2 - 24*s*u - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 4*v + 109244*p - 109239*p, -p = -4*v + 49 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12124540 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1777596876 divided by -319.\nAnswer: -5572404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1729*w - 12540 = -1724*w, -4*g - 5*w = -10041. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 34. What is the nearest to -1\/4 in 5, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 659 = -819. Let u(v) = v**2 - 21*v + 12. Calculate u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/15)\/1 - (-547)\/5.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18880360.15 to the nearest one thousand.\nAnswer: -18880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {v: 1, m: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/12)\/(2\/(-28)*1). What is the closest to -1 in 1\/2, h, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 684764*f**3 + 240680700*f**2 + 28172454804*f + 1098975588984.\nAnswer: -4*(f - 171542)*(f + 117)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**3*o**2 + 904*g**3 + 3*g**2 + 45*g*o**2 wrt o?\nAnswer: 12*g**3*o + 90*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttiirrrrmmmrm. What is prob of picking 2 r?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*t = -35, -949*a - 9 = -946*a + 2*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - 23.5. Let j = 23.54 + h. What is j rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 101 (c) 3 (d) -3\/4 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 18. Calculate the remainder when 20 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 - v**5\/2 + 14*v**3\/3 - 33*v**2. Differentiate p(z) wrt z.\nAnswer: 3*z**2 - 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-198)*12*(-7)\/294?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 75. Let l(g) = -197*g. Determine l(n(i)).\nAnswer: 394*i - 14775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 956792 and 370817?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f**4*u - 1114*f*u - 139696*u with respect to f.\nAnswer: 20*f**3*u - 1114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.2, 9.9, -3211?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 14748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (244678\/14 - -11)\/1.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -49, 18, 155, 386?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.9 - 7.1. Let r = a + 28.9. Let f = -26 - -26.07. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261145 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let f(t) = -533*t. What is f(c(v))?\nAnswer: -1066*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + 3*t. Let n(h) = -32*h**3 - 76*h**2 - 55*h - 8. Let g(l) = 3*a(l) + n(l). Determine p, given that g(p) = 0.\nAnswer: -1, -4\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - ((-38 - -36) + (1 - 5))) + 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 26585*t + 1089984. What is u(-41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*w - 12*w - 10*w in the form x + g*w and give g.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - -65. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2761 or -1912721\/693?\nAnswer: -1912721\/693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -688 in decreasing order.\nAnswer: 4, -4, -688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -76*n - 11140. Suppose -r + 111 = -2*g, 3*r + 0*r + g = 326. What is the remainder when r is divided by i(-147)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 - 9 + 9 + (t + 4*t - 4*t)*(-3*t**3 + 0*t**3 + 2*t**3) - t**4 - 2*t**4 + 2*t**4 - 2 + 2 - 2*t**4 + t**4 + 3*t**4 - 2*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p - 66. Let m be c(-9). What is the tens digit of ((-2)\/2)\/(m + 623\/208)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806935367.\nAnswer: 13331, 210557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/48 - (44\/12)\/(-11)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 34, 74, 150, 274?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (3 - -4) - 3 - -2) + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 262968596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 51*p - 7. Determine s(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**6 - 76*b**4 + 5*b**3 - 48*b**2 - 5*b. Let w(q) = -q**6 + q**3 + q**2 - q. Let c(n) = f(n) - 5*w(n). What is the third derivative of c(r) wrt r?\nAnswer: 120*r**3 - 1824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 75, 86, 97?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -27*d**2 - 4455*d - 13113. What is z(-162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 0, -2*x - 3*a + 4 = 0. Solve 9 = -3*v - x*w, 0 = -v + 2*w - 0*w - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 3521.38.\nAnswer: -14085.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 878.367, -0.4, 0.3 in decreasing order.\nAnswer: 878.367, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -48*p - 40. Give h(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 42*a + 135.\nAnswer: 3*(a - 9)*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 0.035, -1\/23, -5, 0.8?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 939, 933, 915, 879, 819, 729, 603, 435?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 112\/11 - 4\/22. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/360252 and 89\/2761932?\nAnswer: 8285796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 - (1 - (2 + 2))*(-427)\/(-21).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178 + -2*(-5)\/10.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/3*12\/(-8). Suppose -15 = -j - z*j. Suppose r = 3*r - j*s - 33, -r = 4*s. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - a + 4. Calculate u(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 5*y)*(2*y**2 + 7 - 7).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89972274 divided by 7.\nAnswer: 12853182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h**3*w + 2647*h**3 - 16*h**2*w + 9*h*w - 101734*h wrt h.\nAnswer: -60*h*w + 15882*h - 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91587 - 63271 = -3*b + k, -4*b + 206478 = -2*k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 times 0.0906\nAnswer: 25.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 52 - 74. Suppose 0 = 5*v - 2*t - 323, 8 = -v - 2*t + s. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/20 - 5*w**4\/6 + 23*w**3\/6 + 11*w**2\/2 - 3*w. Let x be k(6). Solve 6*m + 1 = x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {k: 2, h: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-3 - -3 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9168.308 to the nearest 10.\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/10 + (-4)\/(-10). Suppose -j*s - 8 = -3*q - 10*s, -5 = 5*s. Factor -20\/9*x**q + 0 - 4\/9*x**2 + 8\/9*x - 32\/9*x**3.\nAnswer: -4*x*(x + 1)**2*(5*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 30 = 5*x, 2212*x - 18 = 2209*x - 3*s for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - 40 - (45 - 36) - -11?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 >= 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 - h**3 + 3*h**2\/2 + 5*h. Let q be t(7). Suppose 0 = q*o - 5*o - 120. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, -126, 1 in descending order.\nAnswer: 2, 1, 0, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 36*v**2 - 24*v - 24. Let x(c) = -2*c**3 + 55*c**2 + 2*c + 727. Let p be x(28). Calculate k(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*d**2\/5 + 592*d\/5 + 848\/5.\nAnswer: 4*(d + 2)*(21*d + 106)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*r**2 - 5353*i**2*r - 2*i**2 + 9506*i*r**2 + 2*i*r - 2*r**2 wrt r.\nAnswer: 4*i**2 + 19012*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-10 + 18 + -2)) + -29 + 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -20.95. Let y = k - -7.95. Let f = y + -12. Which is the third biggest value? (a) 1 (b) 1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -572 - -571.9. Let d = -182.9 - -183. Let n = -4.8 - 0.2. What is the second smallest value in d, n, t, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 14) to base 10.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a - 3. Let h be j(-4). Let n(g) = -g**2 + 2*g - 17. Let f be n(0). Let z = f - -15. Put h, 0, z in ascending order.\nAnswer: h, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 0*c**3 + 0*c**3 + 197*c**5 - 77*c**5 + 96*c**5 + (0*c**4 - c**4 + 3*c**4)*(-2*c - 2 + 2).\nAnswer: 210*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 593493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -36\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 15*a - 99 = -27 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 2. Let d be i(-3). Let y be -1*(2 + 0)\/(-4). Let h = 2.3 + -2.5. What is the nearest to y in h, 5, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3284204 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 2*a + 3 - 79*a**3 - 3 as d*a**3 + q*a + c*a**2 + k and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 114*u**2\/5 - 2*u\/5 - 114\/5.\nAnswer: 2*(u - 1)*(u + 1)*(u + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**2 - 409*x**3 + 5*x**3 + 1400*x + 3*x**2 + 61*x**3 - 2*x**2 wrt x.\nAnswer: -2058*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 3, h: 3}. Give prob of sequence rrrm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3))\/x*x*x*x)\/x**(-31)*(x**(-26)\/x)\/x**(2\/5))**11 assuming x is positive.\nAnswer: x**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*i**2 - 210*i - 48.\nAnswer: 3*(i - 8)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 1. Let z be i(-8). Let t = 5 + z. Let s = -14 + t. Solve s*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3998 or -2898?\nAnswer: -1\/3998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 389 = 5*v, v - 143 = -a + 2*v. Let z be 2\/11 - a\/759. Let 0 - 2*b**3 - 2\/3*b**4 + 0*b + z*b**2 = 0. Calculate b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3986*-1\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(15\/(-20))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 457931807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2\/33*v**3 + 2 + 1\/11*v**2 + 4\/11*v. Factor j(l).\nAnswer: -2*(l - 2)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 2. Let h(s) = 19 + 15 - 61 + 17 + 14 - 9*s. What is -2*h(x) - 5*m(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1151, -1158, -1161, -1154, -1131, -1086, -1013?\n\"Answer: s**3 - 4*s**2 - 2*s - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*o + 19, -6*h + 3*o - 19 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126577237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 14*x - 48. Suppose 5*o + 5*d - 2*d = 963, 3*d - 768 = -x*o. List the prime factors of o.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 18*j + 13. Let x be n(-17). Calculate the common denominator of 31\/7 and ((-1)\/x)\/(4\/198).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2640\/(-7560) + 4\/7.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.26 + 3.74. Let h = p - 3. Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3101\/(-3544) + 3868\/4384\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1910666777 rounded to 3 decimal places?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 30 - 50*j + 66.\nAnswer: -50*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(320) + 1 - sqrt(320)) + 5*sqrt(320)*2)*6)**2.\nAnswer: -17280*sqrt(5) + 1152324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880, -686, -166, 842, 2500, 4970, 8414?\nAnswer: 12994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 p when three letters picked without replacement from {x: 1, p: 1, t: 5, k: 2, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246613, -243593, -238561, -231517, -222461, -211393, -198313?\nAnswer: -183221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6321\/2 + -3087. Let k = m - 72. Let v be (-2)\/(-5)*5\/(-3). What is the third biggest value in -3, k, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(2178) + sqrt(2178))\/(1*sqrt(81)).\nAnswer: 4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/19 - 6*w**3\/19 - 44*w**2\/19 + 48*w\/19.\nAnswer: 2*w*(w - 6)*(w - 1)*(w + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 20*s - 9. Let a be 7*((-8)\/21 - (-14)\/21). Suppose 4*u + 3*k - 19 = 0, -a*u - u - 3*k + 12 = 0. Is m(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -2\/7 (c) 2\/7 (d) 616 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*n + 30 = 3*a, -3 = 3*a + 4*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 4*c = 10*a - 1, -29 = -5*a - 4*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 + 216. Suppose -d*z = -4*v + 80916, 2*z - 4*z = 2*v - 40470. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -669586839717?\nAnswer: 669586839716.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6)*9\/(-6))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48\/5 + -197\/20. Let i = 0.6 + -0.8. Which is the closest to f? (a) 0.1 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - (9 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20573502169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 - 6*u + 4. Let g be l(-6). Let t(d) = -9*d + 1. Let n be t(-1). Suppose -b - g*w - 28 = -5*b, -5*w = n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 17*f**2 - 58*f - 77. Let p be j(20). Put 3, p, 13 in increasing order.\nAnswer: p, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l**2*l*l)))**(2\/5)\/((l*l*(l*l\/l**(-10))\/l*l)\/l**(-4\/7)) assuming l is positive.\nAnswer: l**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39577362.\nAnswer: 2, 3, 11, 599657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*x = 331*x + 1176 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdssdxqxdxsqsq. What is prob of picking 2 s and 2 x?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 + 2*b - 12. What is k(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/5 - 11346681*v\/5 - 11346678\/5 = 0.\nAnswer: -3782226, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 18*x**2 - 4*x - 21. Does 17 divide n(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2, -1\/2, 96, -519\/7 in descending order.\nAnswer: 96, 3\/4, -1\/2, -2, -519\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*l - 0*p + 5, 3*p + 15 = 0. Suppose 7*y = 12*y. Let g = -126 + 2140\/17. Put g, y, l in decreasing order.\nAnswer: l, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 57457*p - 749088 + 8*p**4 - 10*p**4 + 72287*p - 8066*p**2 + 212*p**3 = 0. What is p?\nAnswer: 17, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2. Let l(s) be the second derivative of s**4\/12 - s. Determine q(l(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24.4 or 312918?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 763*((-175)\/(-49) - 3). Let k = c + -409. Suppose 4*n + n = 2*w + 247, 2*w + 196 = 4*n. What is the remainder when n is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 30 = -4*l. Suppose l*g - 4*g = 0. Suppose -s + 2 + g = 0. Let d(b) = 3*b. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 4*l - 2. Suppose -a = 1 - 5. Give p(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 12*w. Let m(y) = 3*y. Let r(l) = -4*m(l) - z(l). Let u(f) = -14*f**2 + 19*f**2 + 20*f**2. Determine r(u(b)).\nAnswer: -1250*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 19, 3, -21, -53, -93, -141?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*q - 25*q - 19*q - 14*q**3 - 4*q + 3*q**3 + 4*q + q**3 + 2*q**3 - 2*q**3 + (-2 + 2 - q**2)*(5*q - 2*q - q) - 2*q + q**3 + 2*q)*(-q + 2*q + 4*q).\nAnswer: -55*q**4 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198278110.999941 - -198278252. Let o = -141 + x. What is o rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004271372 to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s. Let y = -2784 - -2789. Suppose y*c + 9 - 39 = s. Let r(w) = -w**3 + 6*w**2. Let h(l) = l**2. Calculate c*h(f) - r(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52790 (base 15) in base 4?\nAnswer: 333313101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 1 + 846*z**3.\nAnswer: 846*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11892471?\nAnswer: 3, 3964157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1657, -0.1, 2\/31, -3\/8?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3861 and 2673?\nAnswer: 34749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -7*b**6\/60 - 7*b**5\/120 + 13*b**4\/4 + 21*b. Let s(j) be the third derivative of z(j). Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 + -269. What is the closest to 0 in 2\/13, a, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44\/23 or 7?\nAnswer: -44\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)*z*z)\/z*z**(5\/6))**(1\/5)\/(((z*z**(-1\/3)*z*z*z)\/((z*z*z**5)\/z))\/(z**1)**(-1\/10)) assuming z is positive.\nAnswer: z**(66\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c**3 + 1\/24*c**4 + 0 - 1\/84*c**8 + 0*c**7 + 0*c**5 - 3*c**2 + 0*c + 0*c**6. Find the second derivative of p(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 10415?\nAnswer: 10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2414\/13?\nAnswer: -2414\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 6 = -d - 17*w, -50 = -5*d - 5*w for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:26 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 + 29*i**2 - 109*i**2 + 47*i**2 + 34*i**2 - i. Let h(r) = -8*r**2 + 7*r - 3. Calculate -5*d(v) - h(v).\nAnswer: 3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 82*x**2 - 170*x**2 - 171*x**2 - 166*x**2. Let i(m) = -4*m**2. Give o(i(b)).\nAnswer: -6800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/8)\/(7\/350). Suppose d*u - 27*u + 692 = 0. List the prime factors of u.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:27 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2\/(-7)*714\/(-84).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2088409862 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 5\/(-3))*-3. Let x be (-9)\/11 - (1 - v). Let d(p) = p + 1. Let r be d(2). What is the third biggest value in -2, x, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 2*o + 16. Let w be t(-3). Let u be 6\/18*-100*w*-1716. Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 70\/4 + -9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 2}. Give prob of sequence yk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {j: 3, b: 1, a: 1, x: 2, l: 3, w: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155202 + -109865. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 60624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66*125*-2*(-22)\/(-66). What is a rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445357.9 - 617.195.\nAnswer: -445975.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-22) - 168\/(-77))\/14. Which is the closest to -1? (a) -1 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395566808 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4729, -10093, -15457, -20821?\nAnswer: -26185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -19 in descending order.\nAnswer: 0, -0.4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.678353 microseconds?\nAnswer: 3678.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 6*v**2 - v + 7. Let x be z(-5). Let w(o) = -o**2 - 13*o + 18. What is the least common multiple of w(x) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14478)\/1034 - (-29 + 23). Let x = 119687\/329 + -2579\/7. Let a = x - c. What is the common denominator of a and 41\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*r + 6848 + 28800 = -27431 + 7705 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 2}. What is prob of sequence ss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96783281?\nAnswer: 7, 282167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -29824598*5.\nAnswer: -149122990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*d**5*y**2 - 6*d**2*y**2 + 4*d*y**2 - 653*d*y - 2 wrt d?\nAnswer: -1460*d**3*y**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7896, -8035, -8392, -9075, -10192?\n\"Answer: -18*l**3 - l**2 - 10*l - 7867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/5 + 284*v**4 + 30176*v**3\/5 - 66048*v**2\/5 = 0. What is v?\nAnswer: -688, -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -520 - -862. Let j = s + -291. What is the highest common divisor of 1581 and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + v = 2 - 6, 4*v + 16 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6385438*p**3 + 7300209*p**2 wrt p.\nAnswer: -38312628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -47. What is the greatest common factor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 - (-5 + 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 867629, 866168, 864707, 863246, 861785?\n\"Answer: -1461*w + 869090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-14)\/(1 - 9\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 6. What is h(-27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-4)\/q)*q**(-10\/7))**13 assuming q is positive.\nAnswer: q**(325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7439 is divided by 1353?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5839586 divided by 43579?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/167542?\nAnswer: 1\/167542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 658 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*t - 228 = -2126*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 595429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 3. Let r be k(7). Suppose m - 7 = r. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 70*c**2 + 119*c + 71*c**2 + 6*c**3 + 76*c**2 - 214*c**2 in the form u + j*c**2 + s*c + q*c**3 and give s.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 0. Let d be o - (1 + 0 + 0). Suppose 0*z = z - d. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*3*6*-1.\nAnswer: -198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4848 and 157\/2640.\nAnswer: 266640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (828\/(-270))\/(3\/(81\/12)) and 19\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 17*o - 86. Calculate the remainder when k(7) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102271 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/100 and -7\/1900.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 2. Let h(o) = 599*o - 7. Calculate -h(w) + 5*z(w).\nAnswer: -584*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585507?\nAnswer: 7, 11, 59, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1635 + -1232. Calculate the highest common factor of 52 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16251 is divided by 4057.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 + 6. Let d be p(-7). Suppose -35 = 4*b - u, 0 = d*u - 3*u + 3. Let l = -2 - b. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2223218 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 273167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + 3.1. Let h = 0.2 - 0.2. Which is the biggest value? (a) h (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by -99?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19563 - 58667 + 19549 + u + 19550. Suppose -10 = 5*d - 30. Give x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 8610*p\/11.\nAnswer: 2*p*(p - 4305)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 0*z**2 + 25*z - 1\/2*z**4 + 0*z**3 + 120. What is the first derivative of p(h) wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3 = w. Suppose -4*b = -15 + w. Let x be -1*234\/(-27) + (-2)\/(-6). Solve -x - 3 = -b*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Let m be (-2)\/6*(-4 + 7). Let y be -4 - 1 - (m - 1). Which is the third biggest value? (a) -0.5 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -l + 17, -28*j = -30*j + 4*l - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:09 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 128 (c) 14 (d) 0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -133.01? (a) 4\/7 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = -3. Suppose -f*z = -2*z + 44. Let t be (-10)\/15 + z\/(-3). Solve -2*o + 5*c - t*c = -4, 4*c = 3*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61941, -61662, -61197, -60546, -59709, -58686?\n\"Answer: 93*l**2 - 62034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1680*o + 3 - 6 - 1384*o + 3 + 1.\nAnswer: -3064*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:23 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 5}. What is prob of picking 3 g and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 577818*y**2 + 27884526912*y - 5940856407072 = 0. What is y?\nAnswer: 214, 96196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 174. Calculate the remainder when t is divided by (7\/(-21))\/(-1*2\/84).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 7) to base 12.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 11874406 + 10325594. What is o rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022127 and 3.22.\nAnswer: 0.07124894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4956203 nanoseconds to milliseconds.\nAnswer: 0.0000004956203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3174, -3544, -3918, -4296, -4678, -5064, -5454?\nAnswer: -5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose -3*w = 4*f - 105, -3*f = -w + r*w - 78. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -1 + (1 - -3). Suppose 3*c + c - 4 = 0. Suppose 2*g = 3*n + 12 + 5, -5*n - 15 = 0. Put g, c, k in descending order.\nAnswer: g, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 > 13572125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*t - 5*v, -10 = -4*t - v + 5. Solve t*u - 12 = p, -3*u - 4*p = -u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63464386061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138607 is divided by 1270?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 49 = 2*g, -2*g = g + 3*a - 51. Is (g\/(-4) + 2)*-127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962.7787 micrograms to grams.\nAnswer: 0.0009627787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.0029 (b) -2\/29 (c) 5 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 18*q + 55. What is the remainder when c(13) is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 807, 1614, 2421?\n\"Answer: 807*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let x(w) = -3*w + 2. Let j(d) = -3*d - 9 + 2*d + 6. Let b be j(-4). Give b*r(s) - x(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9 = 3*x + 3*h, 2*x + h + 1 = 0. Let u = -3 - x. Suppose -372*a - 4 = -370*a + t, -2*a + 4*t - 4 = 0. Sort a, -1, u in increasing order.\nAnswer: u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 64 = -8. Calculate the lowest common multiple of (-20)\/d*(-36)\/15 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (1 - -5)) + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6941*d + 8944 = -6733*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1610*w + 1610*w + 512*w**2 + (3 + 2*w - 3)*(-4 + 4 - w) - w**2 - 6 + 6.\nAnswer: 509*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2496 and 22.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 56, 90, 136?\n\"Answer: 6*m**2 + 4*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -46. Let p = z + 100. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let p(y) be the first derivative of -y**3 + 3*y - 1. Let a(n) be the first derivative of p(n). What is v(a(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9\/(u*(u*(((u\/u**(-3\/14))\/u)\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 10:25 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40331712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**11*i))\/(i\/(i*i**(-7)*i))*i**0*i**8 assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -161*o**3 - 7*o**2 - 133*o + 142. Determine b(1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 106191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 4*c + 3. Let w(f) = f**3 + f + 1. Calculate l(z) + 2*w(z).\nAnswer: -z**3 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*j - 4*f + 6, j + 7 = -3*f. Suppose 51 = y + j. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f - 73*f + 15*a + 1 = 0, 5*a - 36 = f + 2 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 2, m: 1, e: 1}. Give prob of sequence me.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4498 divided by -1227\nAnswer: -4498\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/2 (b) 13 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4015 + -1464. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 56369 and 2.\nAnswer: 56371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2\/(-5) + 32\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a213 + 2?\nAnswer: -6a211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 3*i - 5. Let b(x) = 3*x + 14. Let o be b(-7). Let c(z) = 5*z**2 + 7*z + 9. Let a(v) = o*f(v) - 4*c(v). Determine a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/5, -0.7, -1.61, 0.1, 116?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3641 - 3623. Let m(j) = 2*j**3 - 42*j**2 + 107*j + 19. Give m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:24 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4656.012 millennia to centuries.\nAnswer: 46560.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.105 + -0.13. Let k = v - 0.059. Round k to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -79*u. Let j(x) = -x**2 + 250*x + 1273. Let c be j(-5). Let i(y) = -40*y. Give c*h(l) + 5*i(l).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2 + 72*k**3 - 72*k**3 + 7*k**6 wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-165))\/(9\/27)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.51 + -74.51007093. What is l rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/6122 and -149\/440784.\nAnswer: 440784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*k - 26 = -3*v, -3*v + 2*k + 16 = 0. Differentiate -6*m**v + 3*m + 0*m - 11 - 3*m wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*a**5 - 1 + (0 + 0 - 2*a**2)*(-3*a**2 + 3*a**2 + a**3) - a**5 - 2*a**3 + 2*a**3 + (-141*a**5 + 21*a**5 + 18*a**5)*(-2 + 1 + 2).\nAnswer: -103*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -188413.\nAnswer: -1884130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73338 by -1.\nAnswer: 73338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658542.\nAnswer: 2, 439, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7221466402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 234*x**2 + 9726*x + 320. Calculate g(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -64*l**3 - 5*l**2 - 5*l - 5. Let r(b) = 320*b**3 + 24*b**2 + 24*b + 24. Calculate 24*a(u) + 5*r(u).\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1898 and 745980430?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**3 - 6*y**2 + 14*y**2 + y**2.\nAnswer: 32*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((((i**(-5\/2)\/i)\/i)\/i)\/i)*i**7 assuming i is positive.\nAnswer: i**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 111356, 222709, 334062, 445415, 556768, 668121?\n\"Answer: 111353*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2, 8, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -7, -248 = -2*t + 5*l. Let a = t + -70. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -m + 5*a, -4*m + 28 = 2*a. Let n = m - 10. What are the prime factors of 1\/(1\/(1 - n))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/72*5\/(-25)*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*-86*(-39 + 41). Suppose 5*r + 2*g = h, 2*g = -3*r - 3*g + 44. What is the greatest common divisor of r and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 51. Differentiate -9*z**3 + 3*z**3 + s + z**3 wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/5 (c) 0.4265 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27254 - 18987. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14412159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 - 2*j - 1. Suppose -2*c + 4*v = -29 - 1, -2*c + 2*v = -20. Let q = 4 - c. What are the prime factors of k(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000799 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9. Suppose -a + k*a = 5. Let s be 28\/36 + (-4)\/6. Sort s, 3\/7, a.\nAnswer: a, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -24. Let w = c - 8. Let n = -2 - -2.1. What is the closest to n in w, -3\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:45 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 9838002*d**2\/5 - 2419660035198*d - 36294811986006\/5.\nAnswer: -2*(d + 3)*(d + 2459499)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from geeuieeueegeiigee. Give prob of picking 1 e, 2 g, and 1 i.\nAnswer: 81\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153288 by 72.\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2472923395.\nAnswer: 5, 103, 4801793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 566*n - 26064. Calculate j(225).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700986850 a multiple of 11983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1429\/12 + -119. Let i(h) be the second derivative of 0 + h + 1\/6*h**3 + s*h**4 - 2*h**2. Determine i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69673, 139334, 209007, 278698, 348413, 418158?\n\"Answer: l**3 + 69654*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9175 and -4.\nAnswer: 3.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 11 = -22*l + 23*l, 4*p - 24 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d - 1. Let l(u) = 40*u - 6. Determine -2*l(i) + 11*w(i).\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.2. Sort -2\/5, q, 1\/2 in descending order.\nAnswer: 1\/2, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:51 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-176)*(-320)\/(-90)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:24 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1364.4, 0.4, 199, 15, -4\/5?\nAnswer: -1364.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18c (base 13) to base 15\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(19 + 5 - 6)*(576*u - 576*u + 190*u**2 + u**2 + 3*u**2 - 3*u**2 + (2*u + 0*u + 0*u)*(-2*u + u + 2*u)) - 2*u**2 + 0*u + 0*u.\nAnswer: -3476*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -64*a + 28*a + 48*a - 3. Determine f(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64146982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-2296)\/35)*(-21 + (-208)\/80 - -23)\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139809 = 60*m - 147069 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 13598152 and 13598155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163995 divided by -5?\nAnswer: 32799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33281\/8 or 4161?\nAnswer: 4161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -824*h - 1094*h + 441*h to b + l*h and give l.\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000009 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9693 divided by 9693\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:21 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250389557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 - 26*i - 38. Does 9 divide k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 7*u - 7. Let q be g(-5). Let o be q\/6*1*0. Suppose -s + 0*s + 2 = o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.33823 to two decimal places.\nAnswer: -11.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.935871 milligrams?\nAnswer: 0.000008935871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19638*h + 22 + 354*h**3 - 19627*h + 39277*h wrt h.\nAnswer: 2124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-116)*(-20)\/(-6)*(-4)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 - 6*f**2 + 283*f - 9. Let s(x) = x**3 - x**2 - x - 1. Calculate -p(u) + 6*s(u).\nAnswer: u**3 - 289*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i**3 - 9095116*i**2\/3 - 3187150*i - 466412\/3 = 0 for i.\nAnswer: -116603, -1, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/9*3\/6)\/((-180)\/80*4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -3\/2 (c) 12 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:05 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 27 = 3*b, 5*a + 27 = 4*b - 2*b. Let r(y) = -5 + y**3 - 3*y - b*y**2 - 3*y**2 - 1 + 5*y**2. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*z = 132*z - 228. Let q be 17746\/78 - (-2)\/6. Let s = z - q. Put 2\/5, -4, s in decreasing order.\nAnswer: 2\/5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y + 31. Let d = y - -55. Solve -2*p + 4*f + d = 2*p, 2*p + 3 = -3*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-4*n + n + n + (3*n + n - n)*(-2 + 0 + 0) + 51 + 53 - 149 + 45 + 1009*n).\nAnswer: 1001*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 13*m + 8*m - 14 = 0, 0 = -3*u + 3*m + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (29 - 28)*(-1 + -2)*-1. Let z(j) = 17*j + 15*j**2 - 12 - j**p - 23*j**2 + 3 - 12*j - 13*j. Give z(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.6. Let w be (-4)\/6 + 395\/(-6). Let m = w - -1201\/18. Sort m, -3, f in increasing order.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**3*u**2 - 67*c**3 + 196*c**2*u**2 - 121*c*u**2 - 63647*c*u - 4*u**2 + u wrt u?\nAnswer: 12*c**3 + 392*c**2 - 242*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {u: 18, s: 1}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 4*a + 2. Let i be q(5). Let x(k) = k - 9. Let o be x(7). What is the least common multiple of ((-2)\/i)\/(o\/(-24)) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -2*h + 307. Suppose u = 4*j + h - 2, -3*u - 2*j + 380 = 0. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6674 + 6658. Let y(o) = o**3 + 17*o**2 + 18*o + 23. Give y(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/24)\/((-1100)\/(-720))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15930\/7 less than or equal to -2277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 9, 213, 8, 3, 0.\nAnswer: -2, 0, 2, 3, 8, 9, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114377295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*a = 80, 4*w + 3*a = 3*w + 12. Let f(k) = k**2 - 5*k. Let z be (-3 - 1)*(-3)\/(-3). Let m be f(z). What is the highest common divisor of w and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p, 0 = 2*u - 2*p. Let x be 1\/(0 + u + 1). Let o be x\/(-2)*-1*4. Solve 0 = -o*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87383 + -6532. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -24\/5*r**3 + 0*r + 0*r**2 + 0 + 18*r**4 - 21\/5*r**5 = 0.\nAnswer: 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from ssststtststtssttttss?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 3*f - 2. Let j be ((-6)\/(-4))\/((-85)\/20 + 4). Let u be -1 + j\/(4 - 6). Let l be u\/(-5) + 234\/(-65). Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = q - 53708*a + 53706*a, -3*a = 28*q - 46 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 - 1189904*v**3\/5 + 3569718*v**2\/5 - 713944*v + 1189907\/5.\nAnswer: -(v - 1)**3*(v + 1189907)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 3:48 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c - 39*c + 72*c. Let t(w) = -59*w**2 + 3. Determine t(g(l)).\nAnswer: -236*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 = -2*s, -3 = 2*y - 2*s - 7. Calculate the highest common factor of y and 508.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*x - 3*x + 16, 5*x + 4*t - 16 = 0. Solve x = -5*u - 5*b + 40, 5*b - 34 = -u - 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -45*g + 730 + 688 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**3 + 0*h + 1\/20*h**5 - 8*h**2 + 0*h**4 + 0. Let b(m) be the third derivative of -m**4\/24 - 2*m**2. What is c(b(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66822.74 litres?\nAnswer: 66822740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/3 (b) -2\/9 (c) -8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/696 and 133\/56160.\nAnswer: 1628640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 8*n - 44930 = -9*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/42 - 7*w**6\/90 - w**5\/60 + 7*w**4\/36 - w**3\/9 + 7*w. Solve t(v) = 0 for v.\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -468, -1\/2 in decreasing order.\nAnswer: 2, -1\/2, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-5 - -2)) + -3 + 15 + 2 + -21?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 295759*p**3 - 104738*p**2 wrt p.\nAnswer: 1774554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, b: 5}. What is prob of picking 1 b and 3 p?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2765497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10302 + -1033?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -5, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 87096*t**2. Let a(r) = -r. Determine h(a(p)).\nAnswer: 87096*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -2923, 0.5?\nAnswer: -2923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2214*k**3 - 2*k**2 + 2*k - 4. Let l(f) = -6640*f**3 + 7*f**2 - 7*f + 14. Calculate -2*l(t) - 7*z(t).\nAnswer: -2218*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 9*r**2 + 27*r + 563. What is s(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((208\/(-552))\/13)\/((-2)\/(-3))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, -0.1, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 416 (d) 0 (e) 0.04 (f) -2\/33893\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -4. Let d be ((-4)\/10)\/((-1)\/95). Suppose d + 22 = k*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.8437 millennia to centuries.\nAnswer: 7438.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7590311917 rounded to the nearest one million?\nAnswer: 7590000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Let v(w) = -4*w**2 + 6*w. Let s(u) = -7*u**2 + 11*u. Let d(x) = 6*s(x) - 11*v(x). Determine y(d(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*q - 26 = 860*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -488*z**3 + 391*z - 391*z + 489*z**3 + 756 - 139*z**2 wrt z?\nAnswer: 3*z**2 - 278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - 3 + 3)*(-2 - 1 - 4) as i + o*a and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/168 and -163\/23100.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 1. Let p = -42 - -52. Suppose -b - p = -11. Calculate the lowest common multiple of s and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170529703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y - 5*y. Let z be 4\/y + (-116)\/(-12). Find the second derivative of -2*s + 9*s**2 - s**3 - z*s**2 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g + 2. Suppose 0 = -2*q - 4*c, -3*c - 4 + 2 = q. Give v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 35. Calculate j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100202304 (base 5) to base 10.\nAnswer: -2350329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329 + 509. Round u to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 - 15029*z**2 - 6*z - 2448 wrt z.\nAnswer: 18*z - 30058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/35)\/(4\/(-14)). Sort d, -1\/2, -2\/5.\nAnswer: -1\/2, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2 - 2*m**2 + 14 + 13*m**2 - 11*m. Let h be g(10). Let k = h + 0. Solve 6*u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, 2, -107, 5, -3\/26 in descending order.\nAnswer: 5, 2, -3\/26, -2\/7, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8833 and 2057?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -7.9.\nAnswer: 55.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-4 - (9 + -10))) + (4 - (27 + 3))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 c when four letters picked without replacement from {a: 3, c: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -6\/11, -13, 83, 2, -4\/3 in decreasing order.\nAnswer: 83, 41, 2, -6\/11, -4\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 3800*g + 7580 = 0 for g.\nAnswer: 2, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16656 divided by -12\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 329\/2367 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1215\/2 + 607. What is the fourth smallest value in q, -5, -33, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Let q = s + 6. Calculate the smallest common multiple of 5 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290334 is divided by 1339.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 365389751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i - 2. Suppose -2*m = 3*m + 10. Let u be f(m). Calculate the highest common divisor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + k - 25, 28080*p - 28078*p = -7*k - 9 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 21*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 617290, 1234585, 1851870, 2469145?\n\"Answer: -5*g**2 + 617310*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101324387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 2*b**2 - b - 2. Let c be d(-2). Let u = 3 + c. Suppose u*m + 5*w = -0*m + 164, 160 = 3*m + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 77*q + 63. What is the units digit of v(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 10:11 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 3*y + 2*f, 7*f - 3*f = 4*y + 8. Let k(i) = -i - 2. Let c be k(y). Let q = -1 + c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14367388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = h - 4*o + 102, 0 = 5*o - 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091262 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 1. Let i(j) = j**3 + 4*j**2 + j - 3. Let z be i(-2). Let b(d) = -d - 1. Let c(t) = z*b(t) + g(t). Give c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-2)\/(-8)). Let g(b) = b**3 - 5*b**2 - 5*b - 3. Let v be g(i). Solve r + 5*p = 7, -5 + 22 = -v*r + 4*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 3376*d\/3 + 37378\/3.\nAnswer: -2*(d - 1699)*(d + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 10*w - 12. Let q be a(11). Let c be (q - -2) + 1\/(-4). What is the nearest to -0.1 in 3\/2, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155\/(-105) + (-24)\/(-21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 174*f**2 + 3*f + 1625. Let x(i) = 2*i**3 - 173*i**2 + 4*i + 1624. Let u(y) = 4*h(y) - 3*x(y). What is the derivative of u(d) wrt d?\nAnswer: -6*d**2 - 354*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916457.172 rounded to the nearest 10?\nAnswer: 1916460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 59.25. Let u = 2.25 - f. Which is the second smallest value? (a) -3 (b) u (c) -1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let n = 0.36522 - 0.16522. What is the closest to n in -1\/4, 0.02, y?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.034, -0.5, 6\/5, -0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37587 less than -313202286?\nAnswer: -313239873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 4*a - 358, 3*a + 3*q = 267. Let w = a + -134. Is w at most -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -48, 1, 31 in decreasing order.\nAnswer: 31, 2, 1, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -103*d + 2172. Let w be (-1)\/(-2) - (-126)\/4. Suppose -3*r = -2*r - w. What is the remainder when r is divided by j(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1222, -1224, -1226, -1228, -1230?\n\"Answer: -2*j - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25584)\/2460 + 1 + 9\/(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + ((-7)\/42 - (7\/(-21))\/(4\/(-10)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2862076, -5724086, -8586096, -11448106, -14310116, -17172126?\n\"Answer: -2862010*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 30*v + 3*h + 3 = 0, h = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085477 to the power of 1\/2, to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 540 - 443. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/356506 and -49\/3208554.\nAnswer: 3208554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127433 divided by -127433?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 + 516212\/(-69))*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(2\/4))\/(-1). Let i(u) = 3*u**2 + 20*u - 93. What is the remainder when 2\/(-4)*-19*y is divided by i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*4\/(-24)*(28\/15 + -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.059, 3, -10.5 in decreasing order.\nAnswer: 7, 3, -0.059, -10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6330 and 33282?\nAnswer: 35112510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1 + (-13 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/35 and 11\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 31. Suppose -4 = -4*p + h. Suppose -p*r = -11*r - 40. Put r, -4, 5 in ascending order.\nAnswer: r, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = -a - z, 2*a - 10 = -z. Let j = 16742 + -16723. Solve a*y - 40 = -5*t, 2*t - y = 4*y - j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49054, -194222, -436168, -774892, -1210394?\nAnswer: -1742674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -191, -236, -319, -452, -647?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 5*x + 45. Suppose 4*l + 17 = o, 4*l - 2 = -o - x. Suppose -139 = -o*d - 134. Solve -d - 4 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*c - 59 + 46 = 0, 2*o - 12*c + 2*c + 5*c + 36 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2291396870 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308826*a + 9604*a**2 + 308826*a.\nAnswer: 9604*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9324 and 61938?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 18. Let r be s(0). Let b be 18\/8 - (-3 + r\/8). Find the second derivative of 5*i**3 + 13*i**3 + 5*i**b - 3*i wrt i.\nAnswer: 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 6 = -36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/9*((-8808)\/168 - -52)*(-6)\/(-70)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (27 - 43)) + -14 + -10 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**2 - 4*f**2)*(-4*f**3 + 4*f**3 + 3*f**3) - 5*f**5 + 2*f**5 + 2*f**5 + (-2*f**4 + 2*f**4 - f**4)*(-2*f + f + 2*f) - 2*f**5 + 2*f**5 + 3*f**5.\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88386.5 + 88386. Let c be 1\/3*(-12)\/20. Let w be 2\/(-10) - 2\/5. Put r, c, 1\/3, w in descending order.\nAnswer: 1\/3, c, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 2065*n**3 - 26*n**2 - 836*n + 1 wrt n.\nAnswer: 40*n**3 - 12390*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 35424888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 664\/140 + (-9)\/63 + 2\/5. Solve 4*r = z*g + 1, -16*r - g = -19*r + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:13 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873254 is divided by 761.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 4*p**3 + 17*p**3.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-2))\/(4\/(-8)*(-76)\/(-57))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.239 micrograms in nanograms?\nAnswer: 137239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + 9. Find the second derivative of 2*r + 329*r**2 + 10 - 654*r**2 + c*r**4 + 325*r**2 wrt r.\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 240 = -26*u. Calculate the greatest common factor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 105. Let j = -3 + 8. Suppose j*o - 20 = -0*o. Sort t, -5, o in ascending order.\nAnswer: -5, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -26 - (33 - (18 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -21*a - 36. Suppose -6*p - a = -15*p. Solve -w = -3*r + p, 2*w - r = -5*r + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/32 and 15\/(-10) + 1 - (-648)\/256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 53 - -8 - -65?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7101 (base 14) to base 13.\nAnswer: -1118c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 + 470 = 4*c. What is the units digit of (0 - 2)*c\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2\/3*s**3 + 0*s + 0*s**2 + 14. Let h(l) = 5*l. Give y(h(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/132 and 80\/1221.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 38*j**2 + 2*j + 1. Let u be w(-1). Let a = u - 24. Suppose a = 3*i - 5. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:05 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3675 or 3608?\nAnswer: 3675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(8\/(-27683 - -11)). Is -1154 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.984815um?\nAnswer: 0.000000001984815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 112. What is r(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkww when four letters picked without replacement from {w: 4, k: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1184.000914 + 1184. What is n rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 7*l**2 + 5*l + 23. Suppose 90*a - 336 = 48*a. Calculate m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19964474, 2\/7 in ascending order.\nAnswer: -4, 2\/7, 19964474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1043509, -1043725, -1044085, -1044589, -1045237, -1046029?\nAnswer: -1046965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/35 in -0.037, 0.4, -3\/10, -7.6?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/393? (a) 4 (b) -3 (c) -939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 203*r**2 + 2649*r + 48. What is l(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 226 (b) 0 (c) 393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270750 + 175446043\/648. What is the common denominator of h and 17\/594?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1.5 (c) -1 (d) -7 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((249\/(-1992))\/((-3)\/(-312)))\/((-3)\/(-2))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 371, 101.99, -4\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 11*l - 1488 = 0. Suppose 3*u + 3*u - l = 0. Suppose 4*i + 78 = 5*v, 5*v - 2*i = -6*i + u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 less than -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20c - 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36424, -36398, -36370, -36340, -36308?\n\"Answer: x**2 + 23*x - 36448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a - 57. Let p be d(5). Suppose -5*m + 5*y + 10 = 0, -20*m + p*m - 4*y + 10 = 0. Solve x + 1 + m = -i, i + 4 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*g + 1 + 24*g in the form p + t*g and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/4 - 2269*x\/2 + 5148361\/4 = 0. Calculate x.\nAnswer: 2269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 3*l**2 + l**4 + (-2*l**3 + 0*l**3 + 4*l**3)*(0*l + 4*l - 3*l) - 3*l**4 + l**4 + l**4 - 74*l**4 - 80*l**4 + 156*l**4 + 223*l.\nAnswer: 4*l**4 + 223*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225816 and 301088?\nAnswer: 903264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/23 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97.1 - 16296801.\nAnswer: -16296898.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:03 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 2. Let l be -24 - -27 - (-3)\/3. Let n = -35 - -104\/3. What is the closest to n in m, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*v - 10*v - 30 + 10*v + 10*v wrt v?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75457 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 27*l - 50. Solve o + 11 = 2*o + 2*x, -o = l*x - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5)*-1)**2 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1634*l - 18. Let a(m) = 1071*m + 13. Let j(r) = -7*a(r) - 5*v(r). Let d(g) = -16*g. Calculate j(d(s)).\nAnswer: -10768*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 164\/8)*7\/((-3990)\/936). Which is smaller: -36 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u - 1. Let i(m) = 2*m + 4. Let l(k) = 2*k + 6. Let g(j) = 3*i(j) - 2*l(j). Give b(g(w)).\nAnswer: -18*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3 + (sqrt(1008) - (1 + sqrt(1008))) + -2)*-2)**2.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -13*p + 238. Suppose 0*l + 17 = p*l. Sort -2\/9, 2\/3, l, -52 in increasing order.\nAnswer: -52, -2\/9, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0716 - 3.9184. Let s = -0.01 + m. What is the closest to s in -3, 2\/3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*r + 2*r - 51 = 0, 0 = -2*y + 3*r + 9. Let l(j) = 2 + 2*j**2 + j**2 - 2*j**2 - 7*j. What are the prime factors of l(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14014 - -22054. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517187130 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 4*x - 4. Let c(b) = 3 - 3*b**2 + 1 - 5*b + 1. Let o(i) = 4*c(i) + 5*u(i). Let q(r) = 2*r. Give o(q(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4009499 to the power of 1\/2, to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2468794, 2468792, 2468790?\n\"Answer: -2*t + 2468796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(-975)*-13*((-6)\/(-275))\/(-1)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5640, 5631, 5606, 5559, 5484, 5375, 5226, 5031?\n\"Answer: -f**3 - 2*f**2 + 4*f + 5639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 10. Let u(b) = -b - 1. Calculate 2*g(a) + 14*u(a).\nAnswer: -16*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) -1 (c) 0.4 (d) 0.7 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 399*d - 231. Let q(b) = -40*b + 23. Let i(u) = -5*g(u) - 49*q(u). What is the first derivative of i(l) wrt l?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*h - 3*u, 2*u = -h - 3*u + 58. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1*(1 - 2). Suppose -5*s - 2*u = x*u, u = 2*s - 12. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66*p**2 + 2*p*u + 129*u wrt p?\nAnswer: 132*p + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 2. Suppose n = -3*z + 25, 0 + 5 = 2*n - 3*z. Calculate the remainder when n is divided by p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 3547*i + 364764. Give w(768).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 811213 = -3*q - 27*b, -q - 3*b + 270419 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 237, 255, 291, 351, 441?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 51 + 1. Let g be (-2 + 4 + -3)*43. Is (50\/r)\/((-1)\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/8 and ((-16084)\/8040 - -2)*(-17556)\/304?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -346*g - 618. What is the remainder when 442 is divided by s(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4110138.653 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 35. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u. Let l be h(-2). Let z be (-1)\/(((-15)\/(-12))\/5) + 42 + (-8848)\/392. Factor 36\/7*a - z - 3\/7*a**l.\nAnswer: -3*(a - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w. Let g(a) be the first derivative of 4*a**3\/3 - 9*a**2 + 409. What is g(z(o))?\nAnswer: 196*o**2 - 126*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(-14*z + 9*z - 16*z) + z**2 - 2 + 2 - 3*z**2 + 0*z**2 + 4*z**2 + (-2*z - 2*z + 3*z)*(-z + 0 + 0).\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let t(h) be the second derivative of -h**4\/6 + 2*h**2 - 5*h. Let a(k) be the first derivative of t(k). Calculate f(a(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p - 3. Let f be t(3). Suppose -g + 5 = f. Does 13 divide (0 + g + -1)*65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/6 + 8*w**3\/3 - 13*w**2 + 2*w - 32. Let a be d(6). Sort 0, 4, -7, a.\nAnswer: -7, a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Let p(h) be the first derivative of -2*h**3\/3 + h**2\/2 + 201*h + 323. Is p(l) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*h**4\/13 + 30*h**3 - 112*h**2\/13 - 264*h\/13 - 64\/13 = 0. Calculate h.\nAnswer: -8, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/20468 and -89\/32164?\nAnswer: 225148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.55 - -0.85. Round d to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-1197)\/(-1800) + 4. Let q(m) be the second derivative of 0 - 2*m + 1\/5*m**2 - 1\/10*m**3 + w*m**5 + 0*m**4. Factor q(t).\nAnswer: (t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -161)*(-4)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1475 - -19199\/17700. What is the common denominator of 49\/116 and w?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 99*x + 157. Is y(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 5. Suppose -3*h - 42 = -3*f, -t*h + 32 = 4*f - 3*h. Solve 3*d - 5*l = -d + f, -5 = -d - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -2 (c) 0.92 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -465 + 448. Let r(v) = -54*v + 187. What are the prime factors of r(h)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from hycyyucyh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 0.12 (c) -5 (d) 4 (e) 4\/5 (f) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 7*z - 3. Let g be m(-6). Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:12 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) - 210\/(-28) - 2. Suppose 1 = j, -3*y = 2*y + 5*j - 10. Solve 0 = 5*g - y - n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 - 424\/(-324)*-9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 - n - 3. Let z be b(0). Suppose 4*d + 6*v - 5 = 7*v, 3*d - 5 = 2*v. Let y be 3\/d - (3 - z). Is y less than -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37027 (base 11) to base 14.\nAnswer: 155ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 57*i. Let s be b(1). Let v be (-60)\/(-2) + (-122 - -127). Let w = s - v. Calculate the least common multiple of 20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -21) + (-4 - -1). Which is smaller: w or 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9049.08 nanograms to micrograms.\nAnswer: 9.04908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) 121 (d) 0.4 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -278, -2412, -8238, -19598, -38334, -66288, -105302, -157218?\n\"Answer: -307*o**3 - 4*o**2 + 27*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/(9\/(-27)) + -5. What is the hundreds digit of ((-24111)\/38)\/(s\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*j + 17351, g - 160 = -5*j + 8505. Suppose -8*m + g = 23*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/13)\/(1\/((-1)\/1)))\/((-9579)\/1854).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 1 + (-12 - -4 - -8). Factor 1\/6*x**3 + 0*x**2 + 0 + m*x.\nAnswer: x**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 7*m - 2*a - 18, 0 = -2*m + 5*a + 36. Suppose 6*o - m + 6 = 0. Suppose 2*g + o*g - 12884 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3\/8, 0.1, -3\/7, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = -100. Suppose 8 = 4*o - 2*t, 4*o - 2*o + 2*t = x. Let d be (1 + -1)*4\/(-8). Solve o = -4*z - 4*r, -3*z - 2*r = -d*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404 + -381. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:28 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 4*y**2. Let b be r(4). Suppose -4 - 2 = -3*c. What is the third derivative of -2*i**c + 5*i**2 + b*i + 0*i + 3*i**6 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o**3 + 604*o + 77*o**3 + 177*o - 184*o.\nAnswer: 12*o**3 + 597*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/10*g**6 + 0*g**2 + 1\/12*g**4 + 9*g + 0*g**3 + 0 + 0*g**5. What is the third derivative of w(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115*18\/225*110\/(-44)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 12. Let s = -8.99 + m. Let l = -106 + 105. What is the third smallest value in 1, s, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577 = -181*t - 215. Factor 8\/3 + 2\/3*y**3 + 4\/3*y**t - 14\/3*y.\nAnswer: 2*(y - 1)**2*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*r + 8 = 0, 3*h + 32*r - 31*r - 89 = 0. Suppose h*j - 31*j = -279. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 12*h - 10. Let z be u(-5). Let x = -23 + z. What is the remainder when 2 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.8315 weeks in microseconds?\nAnswer: 544218091200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f**2 + 2*f**2 - 2 - 8*f**2)*(2 - 2*f - 2).\nAnswer: 8*f**3 + 6*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1987 and 4.\nAnswer: -7948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*2\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by -37548.\nAnswer: 113\/37548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 12. Suppose a - k*a + 4*g = -56, -5*a + g = -149. Let c(l) = l**3 - 5*l**2 - 2*l + 6. Let v be c(6). What is the greatest common factor of a and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 723489*q**5 - q**3 + 5*q**2 - 10305776*q + 1.\nAnswer: 14469780*q**3 - 6*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0252 - -2.5952. Let a = s - 2.5699699. What is a rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 14*c**2 + 16*c + 13. Calculate h(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 3, j: 1}. Give prob of sequence fkkf.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2684063 (base 10) to base 3\nAnswer: 12001100211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21109050.25 rounded to the nearest 10000?\nAnswer: -21110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1031 + 4234. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-14268)\/(-5945)*(-155)\/(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:26 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8491.\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 577872211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.3 (b) -1\/6 (c) 2 (d) 0.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1768 - 1190. Let p = 577.7 - y. Sort 31\/2, p, 0.1 in increasing order.\nAnswer: p, 0.1, 31\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -5*z + 4*t - 0, -6 = -3*t. Suppose 2*m - z = -4*r - 115, 135 = -4*m - r. Let f = -10 - m. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -76, -108?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2090026 litres to millilitres.\nAnswer: 209.0026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-466 + 1039 + 581)*(4*o + o - 3*o) in the form i*o + f and give i.\nAnswer: 2308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*v - 4. Suppose -1 = r - v. Solve -4 = -2*s - r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + (-128)\/(-3). Suppose -w = 3*n - 6*n. Let f = -28387 + 28428. What is the remainder when f is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 14.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u - 2. Suppose 0 = -3*g, -t = -2*t + 5*g. Suppose -16*z + 12*z + 20 = t. Determine k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.048 + -0.578. Let j = 38.53 + t. Let x = j - 37.5. Which is the nearest to -1? (a) 3 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*t - 15072 + 15072 to the form f*t + a and give f.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 9. Give k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*23.525097\nAnswer: -117.625485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 1, -36, -43 in decreasing order.\nAnswer: 1, -4, -6, -36, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 31*o + 36. Let f be u(-1). Sort 1, f, 85, 4 in increasing order.\nAnswer: 1, 4, f, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52117, 52122, 52125, 52126, 52125, 52122?\n\"Answer: -l**2 + 8*l + 52110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*o + 7 + 7 = p + o, -2*p - 28 = 5*o for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 3532*c**2 - 321904*c - 6815232 = 0 for c.\nAnswer: -783, -68, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4468 times 247\nAnswer: 1103596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13906098.\nAnswer: 2, 3, 821, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 519 + -539. Put -12, 1, u in descending order.\nAnswer: 1, -12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 58 = -5*y + 2*g, y - 4*g = 32. Let x(a) = -a + 12. Calculate the lowest common multiple of x(0) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4\/3, 1.22433?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2\/3 + 17165*a\/3 + 380050\/3 = 0.\nAnswer: -22, 3455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -c57 (base 15) to base 8\nAnswer: -5336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2479 or -2335?\nAnswer: -2335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 14. Let d = n + -6. Suppose 10*h - d*h = -90. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404 = 3*v + 356 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 489728 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-9 + 1 - (2 - 12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 958919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 16 + 16.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -38, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93.92 + 94.22. Let z be (2\/60)\/(3\/12). Which is the second smallest value? (a) l (b) z (c) 4\/3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 344 - 192. Let x = -136 + h. What is the highest common divisor of 92 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 - 1 + 1 - 6*a + 5*a**2 + 3. Let y be h(-5). Suppose 4*n - y - 35 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -80, 4\/7, -0.5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 5*r**2 - 6*r - 9. What is the hundreds digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 7. Let o be s(-7). Let a = -268\/11 + 24. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -170795730 divided by -122610?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -574660 - -0.27\nAnswer: -574659.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 10*b + 4. Let v = -5 + 4. Let u(h) = 11*h**2 + h. Let w be u(v). Let r be q(w). Solve o + 11 = -3*f - f, r*f - 3*o = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, -4, 90, -24, 2 in ascending order.\nAnswer: -26, -24, -4, 1, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 583974654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/232 and -33\/203.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/17475660 and -101\/30600.\nAnswer: 174756600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -174\/76691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134998.\nAnswer: 2, 1567499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -484*w + 17. Let o(s) = 967*s - 29. Give 5*m(l) + 3*o(l).\nAnswer: 481*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 5. Let l(t) = -16*t**2 - 2*t - 26. Let u(k) = -22*a(k) - 4*l(k). Solve u(y) = 0 for y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 584*i + 594*i - 226 - 1186*i to g + y*i and give g.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21. Let g(b) = 14*b - 458. Let i(t) = -25*t + 812. Let k(j) = -16*g(j) - 9*i(j). Give 3*k(f) + 2*r(f).\nAnswer: 3*f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/2)*i*i*i)\/i)\/i)\/(i\/(i*(i**(-2\/7)*i)\/i)))\/(i\/i**(2\/35)*i**21) assuming i is positive.\nAnswer: i**(-1521\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163769*z**4 + z - 169906 wrt z.\nAnswer: -1965228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*j + 32 = -256*j. Suppose 0 = -4*z + 5 + 19. Let m be z\/16 - (-2)\/j. Which is the closest to 2? (a) m (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -19*q - 803. Calculate d(-46).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1. Let w(k) = 2. Let f(j) = 9*h(j) + 4*w(j). Let r(i) = -2*i - 1. Suppose y + 5*c = 10, -2*c - 8 = -6030*y + 6028*y. Determine y*f(b) - r(b).\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11 = 1. Which is the closest to -2? (a) -5 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(2 - 3 - 3)*(4*y + 3*y + 2*y).\nAnswer: -108*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258491 is divided by 129236?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 24 = -2754*y + 2755*y, 2*x + 56 = -2*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let s(w) = -w**3 + 3*w**2 + 6*w - 3. Let d be s(4). Let r(c) be the first derivative of -3*c**2 - 1 - c**2 + d*c**2. Calculate z(r(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -19069\nAnswer: -5\/19069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*w = 439, 2*g + 2*w = 4*w + 894. Let q = g - 155. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401411 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 3, e: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:46 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let j(b) = -903648*b**2 - 2 + 2 + 903798*b**2. Determine j(w(t)).\nAnswer: 150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 6 (c) 2\/9 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122610 and 343308?\nAnswer: 1716540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 + 13*m + 6. Let v be b(-13). Suppose 0 = 2*a + 4*x - 100, 118 = 2*a - v*x + x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2. Let a(j) be the second derivative of -j**5\/60 + 4*j**2 - 8*j. Let d(l) be the first derivative of a(l). Give d(g(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (17 - 10) + -28\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4565*c**2 + 12311*c wrt c.\nAnswer: -9130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40 + 44\/11 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -352.21 - -352.2. Let x = 1 + -0.9. Suppose 4 = l - 2*l - 2*q, 3*l + q - 8 = 0. Which is the nearest to x? (a) 0.5 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + n**3 + 34 + (n - 6*n + 2*n)*(55*n**2 + 9*n**2 - 3*n**2).\nAnswer: -182*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlllllttp. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-4745)\/(-24674))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, -24, -71, -136, -225?\n\"Answer: -y**3 - 28*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 1 (d) 4\/7 (e) 1.1 (f) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/4)\/(6\/(-96)*-8). Let h be y\/(55\/(-30))*2\/(-3). Solve 0 = -2*p + 6*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -33. Solve -p - 2 = -x, 0 = -3*p + w*x - 5*x - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsrbrbbbbgusrdgbbsb. Give prob of sequence gs.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 817736575 - 2488289927. Let j = 1670554259.000597 + n. Let l = j - 907. What is l rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4480 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -24 - (-46 + 5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.24 - -7.239336. What is w rounded to five decimal places?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/7, 0.1, 0.12, -5, 0.0342?\nAnswer: 0.0342","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(3*(sqrt(19) - sqrt(19)*-1) + (0 + sqrt(19))*-6))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 = -50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010224 to seven decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*w - 351*w + 122*w - 19*w - 79*w in the form z + p*w and give p.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from fmomrpofrgff.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 4. Let b be f\/(-21) + 1 + (-60)\/(-14). Suppose -7*h + b*h = -1500. What is h rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-378)\/(5\/(52\/(1560\/(-25))))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1487 - 863. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33987 - 6700. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 28. Let w = 11 + -1. Let n be b(w). Suppose -q + 0*j + n*j = -44, 3*j = -q + 24. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 4) to base 6\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -665 (b) -0.02 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 12608*k**2 - 9935104*k.\nAnswer: -4*k*(k + 1576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*m)*(-4*m - 2*m + 5*m)*(-41 + 0 - 54)*(0 + 0 - 3*m) in the form t + o*m**2 + p*m**3 + a*m and give p.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2700) + 1*(sqrt(2700)*2 + sqrt(2700)))\/((3*sqrt(900) - sqrt(900))*-1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*(-2)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/120 + 6\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*m - 2*m**3 + 10*m**3 - 9*m**3 to the form j + s*m**3 + n*m**2 + g*m and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40049229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p**3 - 35*p**3 - 32*p**3 + 103*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -224.739314 rounded to 1 decimal place?\nAnswer: -224.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111100110 + -1000?\nAnswer: -10000111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 111 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) - (sqrt(1100) - sqrt(1100)*2))*-2*1)\/(sqrt(576)*-1*6 - (sqrt(576) - 1*sqrt(576)*-6)))**2.\nAnswer: 275\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-392)\/12) - 7\/14. Which is the nearest to 0.1? (a) -1\/2 (b) -0.1 (c) z (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21819?\nAnswer: 3, 7, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/19)\/y*((y\/y**(-1\/10))\/y)\/y)**(-1\/9))**45 assuming y is positive.\nAnswer: y**(391\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 399*c + 48. Determine b(-1).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 17720.\nAnswer: -17724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:43 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91382 divided by 5.\nAnswer: -91382\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 282\/15 + -2 + 39\/(1131\/(-232)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/33 and -119\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*i**2 - 490*i - 1500 = 0. What is i?\nAnswer: -150\/19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 241\/16, 29, -5, -0.2?\nAnswer: 241\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.12231 - 0.11831. Let z = -0.004 + v. Let k = z - 24.2. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 10*v - 4 = 0, -5*p + 2 = -4*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21232, 42316, 63396, 84472, 105544, 126612, 147676?\n\"Answer: -2*g**2 + 21090*g + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 2, 2.9?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*l - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094424763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2020573559 + 3\nAnswer: -2020573556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5872620 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925368.\nAnswer: 2, 3, 38557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20)\/(sqrt(256)*2 - sqrt(4)) + (sqrt(960)*2)\/sqrt(12) + 3).\nAnswer: 15 + 121*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/600 and -197\/3366870.\nAnswer: 67337400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -332*q**3 - 592*q**2 + 7*q + 9. What are the prime factors of n(-6)?\nAnswer: 3, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:13 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906040 is divided by 2032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o + 4. Let h be z(7). Suppose -n - 2 = -0*n + 5*s, -13 = -3*n + h*s. Solve -4*c - 4*w + 31 = w, 5*c - n*w - 11 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4535 + 5237. Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2100, 8585, 19394, 34527?\n\"Answer: 2162*m**2 - m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -143, -563, -1267, -2255, -3527?\n\"Answer: -142*c**2 + 6*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 2. Let i = 11 + -13. Sort k, i, 3 in descending order.\nAnswer: 3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {h: 9, y: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 162395521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 115*o - 117*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 24*w**3 + 62*w**2 - 84*w.\nAnswer: -2*w*(w - 14)*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from tnntnntttn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2896566 is divided by 1687.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7167 is divided by 287.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127 and 7.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b86 (base 14) to base 11.\nAnswer: -61753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 30 + 18127*w**3 - 83 - 72972*w**3 + 27)*(-3*w - 3*w + 5*w).\nAnswer: 54845*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318*z - 751*z + 167*z - 149*z.\nAnswer: -2051*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t + 2. Suppose -5*y + h - 9 = 0, 6*h = -2*y + 7*h - 3. Calculate u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14573, 58280, 131125, 233108, 364229, 524488?\nAnswer: 713885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 22 - 8. Suppose 2*x - d + 28 = 3*u, -2*u = x. Let n(z) = -z**3 - 5*z**2 + 6*z - 3. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) - (-10)\/(-50). Suppose -3*c - 2*s + m = 98, -c = -3*s + 40. Calculate the common denominator of -77\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -1 in descending order.\nAnswer: 11, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478467 (base 13) to base 9.\nAnswer: 3175606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -5*m - 168. What is the lowest common multiple of m and 33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1707*b - 208263. Determine t(-122).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/16*-1)\/((-50)\/100)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j + 3. Let b(n) = n**2 - 7*n - 10. Let a be b(8). Let w be m(a). Let t = 23 - w. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)\/((p*p**(-4)*p)\/p)*(p\/p**(-1))**(2\/41))\/(p\/((p*p**(1\/18))\/p)*p*p**4)**(-2\/9) assuming p is positive.\nAnswer: p**(197404\/43173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*b + 15 = 0, 6*x = 2*x - 2*b - 30. Let m = -4 - x. What are the prime factors of 5 + 2*3\/m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 249, 965, 2343, 4599, 7949, 12609, 18795?\nAnswer: 26723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 48144*p**2 + 385296*p - 770688 = 0. What is p?\nAnswer: -16056, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 4*c**2 + 0*c**2)*(48*c**2 + 47*c**2 - 110*c**2) + 3*c**4 - 2*c**4 + c**4 in the form s*c + n*c**4 + a*c**3 + y + m*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 61*n + 117. Let c be j(13). Put 4, -1, 64, 1, c in ascending order.\nAnswer: -1, c, 1, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.5773 and 69639.3.\nAnswer: 69646.8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.52 - -0.02. Let g = 0.43 - 0.4. Let r = -0.37 - g. Which is the smallest value? (a) -0.2 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2129 - -5306. Let u = l + -18973\/6. What is the common denominator of u and -16\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 668 and 18260?\nAnswer: 3049420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000662 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*u + 3*h - 45, -57 = -4*u - 3*h. Suppose 13*g - u*g = -600. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let d = -0.071 - 1.969. Let b = -0.04 - d. What is the closest to x in 3, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a - z, 5*z = -2*a + 3*a + 15. Suppose a = -4*o - 0*o + 4, -r + 15 = o. Let s = r - 3. Calculate the remainder when 53 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -362526, -1, 5, -2, 0 in descending order.\nAnswer: 5, 0, -1, -2, -362526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 9 (c) 2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 561*p = 3*a + 556*p - 26, 5*a + 4*p = 43 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 4 + 5*r**2 + r - 3*r. Let m be a(3). What is the highest common factor of m and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -35*r**3 - 9*r**2 - 9. Let b(j) = 18*j**3 + 4*j**2 + 4. Let w = -2248 + 2239. Give w*b(o) - 4*p(o).\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 274 = 4*i + 31, -5*i - 10 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22812492*c**2 + 5*c**3 - 5*c - 22812492*c**2 + 5*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74958610031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 0*g + g)*(-3*g**2 - 2*g**2 + 3*g**2) + 6*g**2 + 5*g**3 - 6*g**2)*(-5 + 3*g + 5).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/21*j**2 - 2*j**3 - 8\/21*j + 6\/7*j**4 + 0.\nAnswer: 2*j*(j - 1)*(3*j - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 1*((2*(sqrt(30) + sqrt(150)\/sqrt(5)) + sqrt(30))\/((sqrt(100)\/sqrt(5))\/sqrt(2)))**2*6.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -287, -456, -625?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-144)\/10)\/(15\/(-50)). What is the hundreds digit of v\/216 - (-6001)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8102021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 12*n - 16. Let l be a(5). Let t be 1\/(l\/(-5) + -1). Suppose t*x = -x - 90. Which is greater: x or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.03 (c) 9 (d) 18\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -3*a, -4*l - 5*a = -1 - 18. Suppose 2*h + 3*b = 4306, -l*h + b = -2*h - 8640. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 14 = -14*m - 5*y, -m + 2*y + 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*u + 18, -3*u + 0*d = -2*d + 12. Let h be ((-408)\/18)\/(u\/108). Suppose 0 = 4*a - 1424 - h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/49 + 1*(4 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -28*m**2 + 59*m + 40. What are the prime factors of b(-15)?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21238 and 1174158.\nAnswer: 8219106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -3. What is the remainder when 64 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) -0.4 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-64)\/20)\/((-2)\/(-10)). Let o be -6*a\/(-12)*-5. Suppose 210*t - 16 = 206*t. What is the greatest common divisor of o and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1491 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(18)\/sqrt(3))\/sqrt(3).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11413 and 56863.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/5)\/h*h**(-1\/9))**(-45))**(-31\/3))**18 assuming h is positive.\nAnswer: h**2418","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*g*z + 3367*f**3*z - 2*f**2*z + 76*f*z - 2*g*z wrt f?\nAnswer: 12*g*z + 20202*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -412*z + 7. Let d(c) = -821*c + 14. Calculate -3*d(b) + 7*v(b).\nAnswer: -421*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7768*f. Let h(i) = -2*i**2. Calculate h(k(j)).\nAnswer: -120683648*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - n + (-1 + 0 + 2)*(0*n + 3*n - n + 2*n + 0*n - n + (1 - 1 + 2*n)*(0 + 0 - 2) + 9 - 9 + 13*n).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 267188539*i + 1292476701 wrt i?\nAnswer: 267188539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1226*f*s**2 - 319*f*s*v + 4*f*s + 3*f*v - s**2*v + 3*s wrt s.\nAnswer: -2452*f - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*k - 119*k + 45*k**2)*(4*k**2 - 18 - 12 + 16).\nAnswer: 180*k**4 - 630*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 106\/34 - (-10)\/(-85). Let p = -79 + 75. What is the units digit of (-153)\/p + (u - (-18)\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 a when three letters picked without replacement from {d: 3, f: 1, a: 6, e: 1, s: 5, y: 3}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 5*f - 3*f)*(1587 + 2286 + 1289 + 3379 - 275 + 3030).\nAnswer: -45184*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167 - 163 - 81*q + 454 - 240 wrt q.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10*r - 22 = 3*s, -r - 2 = 3*s. What is the highest common factor of 830 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.789375um in millimeters?\nAnswer: 0.004789375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 + l - 4. Let i be b(-3). Let w = 13 - i. Suppose -3*t - 1 = 5*f, -3*f - 4 = 2. Sort 0, w, t in decreasing order.\nAnswer: t, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, -0.5, 4, 1.25, -3 in descending order.\nAnswer: 4, 3, 1.25, 1\/2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345*f - 3 + 13 + 346*f)*(-6*f + 5*f + 0*f + f**2).\nAnswer: f**3 + 9*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))\/(y\/y**16) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041955382 rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (1 + sqrt(567))*-2)**2 + (sqrt(7)*-2 - sqrt(7))**2 + sqrt(7) + 4 + (sqrt(343) - 1*sqrt(343))**2 + 2.\nAnswer: 37*sqrt(7) + 2337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {x: 2, t: 1, h: 1, e: 1, d: 3, m: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 2, 10, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 241888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + k + 96 = 0, 4*k = -4*h + 2*k + 108. Suppose -h = -2*p - 21. Which is the second biggest value? (a) 1\/2 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 2*w**2 + w**2 to f + j*w**2 + r*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g - 213 + 58 = 241 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*g + 33*g**2 - 28*g - 32*g as l + x*g + y*g**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -f + 26, 43*v - 41*v + f - 11 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 10466.\nAnswer: 15\/5233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -47*a**2. Let n be x(1). Let k = n - -39. Is ((-330)\/k)\/(9\/48) - -2 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508088397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 1. Let a = -5.4 - c. Let y be (6\/(-4))\/((-13)\/(5512\/(-1431))). Sort -7, a, y.\nAnswer: -7, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52992 and 30912?\nAnswer: 370944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/21 - 368\/(-14). Let j be 24\/(-156) + (-48)\/c. Which is smaller: 25 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-18) + (-74)\/252)*1. Which is the closest to i? (a) 0 (b) -1\/3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 3}. What is prob of sequence ts?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729102981.\nAnswer: 3, 31, 7839817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2, 0.6 in decreasing order.\nAnswer: 0.6, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3458, -2509, -1560, -611, 338, 1287?\n\"Answer: 949*l - 4407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 40 + 83 + 252*y.\nAnswer: 252*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-91) + (-13)\/14. What is the nearest to o in -0.4, 3\/4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 256*b + 26332.\nAnswer: (b + 116)*(b + 908)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 50827.42 years?\nAnswer: 5082.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 4*v + 158 = 0, -3*r + v + 222 = 0. Let u = r - 44. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -100, -166, -242, -328, -424?\n\"Answer: -5*k**2 - 41*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(12) - -3*sqrt(48)\/sqrt(4)))\/(sqrt(44)\/(sqrt(176)*1)).\nAnswer: 2 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56056 - -1006106.\nAnswer: 1062162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + 62 + (-3 + 5 - (-2 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.209455? (a) 2 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19500102631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = f + 5*c, 0 = 2*f - f + 4*c + 16. Suppose f = -0*q - 3*q + 15. Suppose 40000000 = -q*y + 13*y. Round y to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 89, 83, 75, 65?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.98 + 2. Let i = 0.52 - x. Let n = -0.3 - -1.3. What is the nearest to -1 in n, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*k + 2310*k**3 + 17 + k + 56*k**4 + 7*k - 55*k**4 - 2308*k**3 as q*k**4 + w*k**3 + j*k + x*k**2 + i and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w + 45. What is the tens digit of k(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pccpc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 6. Let u be t(-4). Let v(n) = -4*n**3 - 2*n**2 - 2*n. Is 14 a factor of v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5193 - 5192. What is the second biggest value in 4, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400 and 125280.\nAnswer: 626400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2274 + 1405*o + 4559 - 2285 as b + w*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -60 + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77035438, 154070883, 231106332, 308141785, 385177242?\nAnswer: 462212703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.6. Let k = 0.7 - s. Let q = -0.3 + k. Which is the second smallest value? (a) 1\/5 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 916 + -913. Let p(i) be the first derivative of i**5\/20 - i**4\/4 - 3*i**2\/2 - i - 2. Let q(l) be the first derivative of p(l). Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 44*z + 2762. Determine d(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-35)*-50)\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286.6 rounded to zero dps?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30142051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 0*t**4 - t**2 + 0*t**5 + 3 + 0*t**3 + 0*t - 1\/6*t**6. Find the second derivative of f(j) wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 + -334. Let u = q - -203. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142450 divided by -1925.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.026 (c) -4\/7 (d) -2 (e) 11 (f) 0.171\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (3 - (1 - -3))) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213853?\nAnswer: 79, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**3 + 4*t - 8. Let d be 2 - (6 + (-9)\/3). Let g(v) = v**3 - 1. Let q(j) = d*p(j) + 8*g(j). Find the second derivative of q(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 5, h: 7, s: 2, x: 4, t: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-15))\/(2 - (-20)\/(-12)). Let y be ((-27)\/(-6))\/(-3)*2. Let k be (y - -1)\/(50\/(-3)). Which is greater: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 0.3. Let r = -56.7 + 59.7. Which is the closest to q? (a) 4 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 27*u**2 + 27*u**2 + (-1 + 4*u**3 + 1)*(2*u + u - 2*u).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 950\/57*5\/((-125)\/(-1605))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -245 - -15334501?\nAnswer: 15334223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.174+-7.4\nAnswer: -11.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2)*(-4514)\/366. Which is the biggest value? (a) l (b) 11\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 2*l)*(-2*l + 6*l - 1 - 2*l) + 26*l**2 - 10*l**2 - 12*l**2.\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 18.8. Let w = l + -8.3. What is w rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105812787.3 to the nearest 10000.\nAnswer: -105810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 339 (base 11) to base 2\nAnswer: 110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1023 + 1027. Which is the fourth biggest value? (a) 3 (b) s (c) 0.04 (d) -5\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 11. Give r(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 4) to base 9\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*o + 17, -b + 2*o = -4*b + 17. What is the nearest to b in -0.2, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 3. Let j(n) = 16*n**2 - 8. Suppose y = 5*o - 10 - 1, -4*o + 20 = 2*y. Calculate o*j(i) - 8*g(i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 + f**3 - 4*f + 6*f - 3*f to the form u*f**2 + z + s*f**3 + j*f and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2132 - 2?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27*r - 1. Let k be w(1). Let x = -26 + k. Let o(z) = z**3 + z**2 - z + 22. Let b be o(x). Calculate the greatest common divisor of b and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcllclccxllxlclx. What is prob of sequence xlc?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271144.\nAnswer: 2, 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16294023 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 2. Let l(z) = 3*z**3 + 4*z**2 - 44*z - 27. Let v(d) = -d**3 - d**2 + 15*d + 9. Let m(r) = 2*l(r) + 7*v(r). Give -9*c(u) + 2*m(u).\nAnswer: -2*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*y**2 + 280916*y + 1684560.\nAnswer: 2*(y + 6)*(13*y + 140380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 742*y + 743*y + 748*y + 531*y - 2764*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -59232958827275\nAnswer: 59232958827277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 88508 - 15*t**2 + 3*t**2 - 88519 as w*t + a + r*t**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 33*k + 15*k + 16*k to h + x*k and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6153914844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7343*q**2 + 531 wrt q?\nAnswer: -14686*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/15)\/(4\/6). Let u be (-3)\/k + 3\/6. What is the biggest value in u, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.6. Let b = 0.55 - 0.55. What is the closest to p in -3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16024 is divided by 1602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 + -60.72. Let h = x + 76. Let n = 0.3 - 1.3. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*d - a, 5*a = 4*d - 0*d + 40. Let l(u) = -106*u**2 - 3*u - 10. Let g be l(d). Let q = g - -7180. Round q to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4, 2*d + 6*f - 4*f = 1882. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y - 1. Let p be b(3). Suppose -o + 3*g + p = 0, -3*o + 59 - 19 = g. Let n be o\/10 + 15\/25. Solve -n = j, 4 = s + 3*s - 2*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37644, 38244, 38844?\n\"Answer: 600*w + 37044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -0.87 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(0 + (-5 - 3\/(-1))). Let f be (l\/((-30)\/24))\/((-1)\/4965). Round f to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 2 + 2 + q**4 + 4*q**3 - 4*q**3 + (-q**3 + 4*q**3 - 4*q**3)*(-2*q + 2*q + q) - 2*q**2 - 2*q**4 + 2*q**2.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 82*f**2 + 881*f + 21. Is 12 a factor of n(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -436474*c - 2182327. What is o(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 48. Which is the nearest to -0.1? (a) -2\/9 (b) f (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(160) - 4*sqrt(160))*5 + sqrt(160))\/sqrt(5))**2 + 4.\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35306 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 + h**5\/6 - 5*h**4\/24 + h**3\/2 + h**2. What are the prime factors of o(5)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 12\/198*22. Put 8, -5, n, -2 in ascending order.\nAnswer: -5, -2, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t + 28. What is y(-8)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 16161801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/3 - 3*q**2. Let y(k) = -k**2. What is x(y(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 552290 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413203 to the power of 1\/2, to the nearest integer?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-49)\/(0 - -7) + 2*6. Let d(c) be the first derivative of -4 + u*c - 10\/3*c**3 - 5\/2*c**2. Solve d(o) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-3) + 38)*-3. Let m = t - -230. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 + 10 - 59*f - 139*f - 61 as b*f + n and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f - 5*l + 61, 5*l = 25. Suppose 3*y - 43 + f = 0. Which is the third smallest value? (a) y (b) 1\/8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(3))\/sqrt(6))**2 + (sqrt(18) + 0)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20297, -20276, -20271, -20282, -20309, -20352, -20411?\nAnswer: -20486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 503*h**2 + 2*h. Is p(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-273)\/(-21))\/13)\/(4\/300*-3)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0 (c) -0.3 (d) 5 (e) 3 (f) 166\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.5804 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t. Let j be b(2). Suppose 0 = 3*p - w - 9 - j, 5 = -p + 3*w. Let o(f) = -f**3 + 3*f**2 + 7*f - 6. Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 1591445782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.01? (a) 0.006 (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keekkekykkfkfkkkfe. What is prob of sequence kfey?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**10\/40320 - f**9\/20160 - f**4\/12 + 3*f**2. Let w(a) be the second derivative of o(a). Factor w(r).\nAnswer: -3*r**4*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 - 3*l**2)*(l + 0*l - 3*l) - 3 - 2*l**3 + 3 - l**3 - 6*l + 3*l - 3*l**3.\nAnswer: -10*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038513 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 2 - (-2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3ac8 (base 15) to base 8\nAnswer: 30423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*-5*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7049931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*k - 4 - 41, -113*k + 115*k = 2*y - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 23. Find the common denominator of -77\/4 and 18\/c*38\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 69540*h - 6406144.\nAnswer: (h - 92)*(h + 69632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100211659\/110874 - -7\/18479. Let l = s - -924. Calculate the common denominator of l and 59\/124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 13*v + 190. What is the common denominator of 99\/16 and -4*4\/(-256)*v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18376561 to the power of 1\/2, to the nearest integer?\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*k - 64, 3*b + 10*k - 79 = 5*b + 83 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.543463 to 1 dp.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 38*c = -c - 378 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + (5 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2942329 divided by 3107.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -2\/3*t**3 + 5\/24*t**4 + 38*t**2 + 1\/60*t**5 + 0*t + 0. What is m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) + (sqrt(65) - (sqrt(65)*-1 - sqrt(65)))))\/(6*-1*sqrt(5) - sqrt(5)).\nAnswer: 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*x - 26, 0 = 3*c - 2*x + 46 - 2. Let k = c - -428. What is the remainder when (-12)\/30 - k\/(-10) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*o**5 - 192*o**4 - 2*o**3 + 192*o**4 + (-3*o**3 + 5*o**3 - 3*o**3)*(-2 + o**2 + 2).\nAnswer: -87*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -148320, -147119, -145116, -142311?\n\"Answer: 401*t**2 - 2*t - 148719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-6\/13)\/c)\/c)\/c**(6\/17) assuming c is positive.\nAnswer: c**(-401\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1527 - 3?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.176 times -0.669\nAnswer: 0.117744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaxzxxzpzje. Give prob of sequence zjae.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -10101111001001?\nAnswer: 10101111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-30) - -11*2\/165. Is 9 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3067 greater than or equal to -1\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:15 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**4 - 18311*z - 1447070 with respect to z.\nAnswer: 12*z**3 - 18311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a factor of 2884806913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 - 1)*(1 + 4 - 4)*(-726*b + 256*b + 225*b) as f*b + z and give f.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13066031970 and 0.3?\nAnswer: 13066031970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15aa - 9a5?\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23164, -92662, -208478, -370600, -579016, -833714?\nAnswer: -1134682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-2\/41)*a)\/a**(-2\/19))**(-5))**(1\/5))**(2\/19) assuming a is positive.\nAnswer: a**(-1646\/14801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313911 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*t**3*z - 3*o**3*t**2 - 14*o**3*t + 816*o**3*z + 4*o*t**3 - 2*t**2 wrt z.\nAnswer: -2*o**3*t**3 + 816*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:34 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 58 - 63, 2*s = w + 11. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2 + 4 - 3). Let v be r\/(((-21)\/2)\/1). What is the closest to -1 in 1, v, 3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -3.03.\nAnswer: -9.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(64)\/(sqrt(8)*-1)) - (2 + -2 + sqrt(12))*4.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68\/5? (a) 5 (b) 2\/31 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2103 (base 6) to base 4.\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 16. Let q(p) = -p - 13. Let c(j) = -5*q(j) + 4*y(j). Suppose d + 2*d = r - 2, 0 = 3*d + 2*r + 14. Let k(u) = -3*u - 1. What is d*c(m) - k(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of ((3 - 6) + -615)*(-19 - -31 - 84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1295840, 5183307, 11662422, 20733191, 32395620, 46649715?\n\"Answer: v**3 + 1295818*v**2 + 6*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2953\/3 + -6891\/7. Which is the nearest to -1? (a) 37\/7 (b) k (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 - (26 - 3 - 54251) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 74*r - 69. Let b be j(36). Solve 4*z - 28 = b*t, -3*z + 28 = -t - 3*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 13796?\nAnswer: -13800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13619 + 13746. Solve -3*u = z - 145 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 432665 and -11950?\nAnswer: 444615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, -3 in ascending order.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1401 - -1433. Solve 0 = p*l - 35*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5 - 2170\/3850.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-15))\/((-2)\/(-12)). Does 18 divide (-1 - 25)\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 43*d - 2064 = 0. Suppose 0 = 32*i - 36*i + d. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007224674 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67038248 to the nearest integer?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + i**2 + 0*i**2 + (-3*i + i + 0*i)*(-16*i + 35*i - 13*i).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -20240.\nAnswer: -1\/2530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.071 and -0.154.\nAnswer: 0.010934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r**3*v - 3*r**2*v**2 + 4*r + 200*v**2 wrt r?\nAnswer: -21*r**2*v - 6*r*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + ((6*(sqrt(156) + 2*sqrt(156)) + sqrt(156) - sqrt(156))*3)\/(2*sqrt(96)\/(sqrt(128) - sqrt(8)))).\nAnswer: -324*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + m - m - m + 0*m + (-3 + 0 + 1)*(-1 + 1 - 2*m) + 11*m - m + 7*m + (3*m - m - 3*m)*(-2 + 4 - 1).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/3 + 54038*w**3\/3 - 270221*w**2\/3 - 108086*w = 0.\nAnswer: -54043, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 12) to base 3\nAnswer: -11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from hddzgzzdhfzhdzfzz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191266 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from twizjtzwzgwiitg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h**5\/2 + h**4\/3 + 257*h**2\/2 - 17*h + 4. Differentiate a(r) with respect to r.\nAnswer: -90*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 239, -1\/4, -1\/3, -4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 679*c - 1646*c.\nAnswer: -967*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -3*x, 3*o = x - 6*x + 20. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4166446 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - v + 7*v - 8*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323*x**2 + 407*x**2 + 308*x**2)*(1 - 2*x - 1) + x**3 - 14*x**3 + 4*x**3.\nAnswer: -793*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/1848 - 3*g**7\/385 - 29*g**6\/330 + 37*g**5\/165 + 19*g**4\/44 - 65*g**3\/33 - 1411*g**2. Find w such that b(w) = 0.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2, 32 in descending order.\nAnswer: 32, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 z when three letters picked without replacement from oobobbebzbebbebzb.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 10*y + 11. Let i = 1 - 14. What is the tens digit of x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 z, and 1 q when four letters picked without replacement from qqqdqqqqdqqqqqqzq?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-192)\/(-256))\/(1\/(-57088)*-4)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347409126804 - 4.\nAnswer: 347409126800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2321*i - 2306*i = -70 - 50 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 3:23 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29287 = -1712*u + 106327 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -10. Let z be 855\/(-21) - -3 - 10\/35. Let t = z + 115\/3. Put -1, t, u, -5 in ascending order.\nAnswer: -5, u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + -bd9de?\nAnswer: -bda03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 41. What are the prime factors of h(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38783253 is divided by 744?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/41 - 202\/123. Calculate the common denominator of i and 23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c. Let b be 1*(-1)\/((1 - 3)\/6). Let p(j) = 5*j. Let a(m) = b*o(m) - 4*p(m). Let z(g) = -8*g**2. Give a(z(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 2*z - 164, 5*z + 4*u - 370809 = -370872 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 4. Suppose 0 = -2*z + f + 3*f + 24, f = 3*z - 16. Let g(o) = 3*o**2 + 2*o**2 - 4*o**2 + 8 - 9. Calculate z*g(y) - s(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*k = 176, 3*k = -70 + 46. Solve 7*a - u = 8 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8855177 * 1.4.\nAnswer: -1.23972478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411803?\nAnswer: 3, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*w**2 + f**2 - 2*f + 4*w**4 - 49*w**3 with respect to w.\nAnswer: -2*f**2*w + 16*w**3 - 147*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 2670*k**2 - 30185*k - 114450.\nAnswer: 5*(k - 14)*(k + 3)*(k + 545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + (-44)\/7. Suppose 0*t - 4*t = -64. Let a be (6\/(-4))\/(n\/t). Solve 17 - 1 = -a*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -31, -71, -127, -199, -287?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379152 + 15543*j**2 + 379152.\nAnswer: 15543*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 11:18 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 + 3)*(-3 + 0 + 0)*(-2 - 2 + 2)*(1 - 4 + 5)*(-1 + 4 + 0)*(25 - 2*l + 34 - 70) to m + y*l and give m.\nAnswer: -2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9994005 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6172.837 - -782566.1.\nAnswer: 788738.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, 223, 358, 389, 226?\n\"Answer: -15*g**3 + 83*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:15 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + x = 14, 0 = 4*b - 6*b + 4*x + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 4*b + b**2 - b - 2*b + 3*b**3 - 1. Let w(a) = a**2 + 4*a - 4. Let t be w(-5). Calculate the lowest common multiple of 6 and k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*k = 3*k - 30, -3*i + 34 = 4*k. Is i smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16478351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-600)\/100)\/(-7020)*36.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/(-12)*(-520)\/12 is divided by 63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110 - 142 - -26) + 2 + 0 + -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 30, -3, 2 in decreasing order.\nAnswer: 30, 8, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 10*h**2 - 4*h - 21. Calculate s(-9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -164*p**2 + 0*p**4 + 38\/15*p**5 + 0*p + 0*p**3 + 0 + 19\/60*p**6. What is the third derivative of f(n) wrt n?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18220735*f**4 + 13122388*f wrt f?\nAnswer: -218648820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -73*d. Let r(u) = 1. Let j(a) = -3*a + 15. Let f(b) = -j(b) + 15*r(b). What is f(z(k))?\nAnswer: -219*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.32618 - -6.\nAnswer: 4.67382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -20, 13*f = 9*f + 2*i + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cggg when four letters picked without replacement from {k: 3, g: 3, c: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79573.66 > -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2735, -5357, -7993, -10649, -13331, -16045?\n\"Answer: -k**3 - k**2 - 2612*k - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(9\/(-9)*21\/((-35)\/5)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 5*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434*a = 1415*a + 57 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25387228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1971 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(-4 + -1 + sqrt(425) + sqrt(425)))**2 - (-4*2*sqrt(68) + ((sqrt(17)*2*-4 - sqrt(17))**2 - ((-4 + sqrt(68))**2 + sqrt(17)))).\nAnswer: -14399*sqrt(17) + 247107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 950458337 from -2679.\nAnswer: -950461016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2096 divided by 524?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 5, 0.5.\nAnswer: -4, 0.5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 0.5 (c) -0.3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/6)\/((-6)\/(-9)). Calculate the common denominator of (-6213)\/1330 + -1*n\/(-10) and 91\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = -11. Suppose 29*z - 53 = 5. Solve z*w - 13 = -5*l, 4*w - l - 2*l = -m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/171 (b) 7.3 (c) 0.3 (d) -5 (e) 0 (f) -1 (g) -113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 4*p + 3. Let y(o) = 6*o**2 + 5*o - 3. Let t(r) = -5*k(r) - 4*y(r). What is the first derivative of t(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 390 = -2*h. Suppose 6*u = u + h. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l = -950 + 1834 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -4 (c) 0.0791 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 104 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -78969 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180444 and 24596.\nAnswer: 100868196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-21)\/15 + 30\/25?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1567023 rounded to 3 decimal places?\nAnswer: 9.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35732 + -35732. Do -3\/6415 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o = 51*o + 828346 - 201696. List the prime factors of o.\nAnswer: 2, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*y - 48 - 17, -4*y = f - 56. Solve 13*o + 4 = y*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4639.776022 - 0.023978. Round r to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v**3 - 147*v**2 - 101*v + 16. Determine x(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9425492 take away 64?\nAnswer: 9425428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2912759m in kilometers?\nAnswer: 0.0002912759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 9*l - 3. Let q be j(-6). Calculate the greatest common factor of q and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.429744 centimeters?\nAnswer: 24297.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v**3 - 35895*v**2 + 35895*v**2 + (0*v**2 - v**2 + 3*v**2)*(-37*v + 52 - 52) as d*v**2 + r*v + k*v**3 + b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/39)\/(100\/125)*(-2)\/4.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5\/4 + 1699*k**4\/2 + 1414*k**3 + 565*k**2\/2 - 1131*k\/4 = 0.\nAnswer: -1131, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3\/7, -11\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2580947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 124, 262, 462, 730, 1072?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/241, -5\/4, 0.5 in descending order.\nAnswer: 2, 0.5, 1\/241, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v - 14. Let r(b) = 2*b**2 - 4*b + 7. Is r(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w + 0*w**2 + 9\/2*w**4 - 45 - 5\/3*w**3. Find the third derivative of p(l) wrt l.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxgzzdzxgpxsg. Give prob of picking 3 x and 1 d.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-15)\/12*10\/25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 966?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 0, 3*m + 2*m + 2*g = -18. Let u(q) = -2*q**2 - 4*q + 2. What is u(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*h**5\/5 + 2130*h**4 - 9615*h**3 + 11514*h**2 + 936*h\/5 = 0.\nAnswer: -3\/187, 0, 2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.3733 litres in millilitres?\nAnswer: 505373.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 21 = b, -5*b - 5*t = -0*t - 105. Suppose -5*m - b = -31. Suppose -4*n - m*n + 3102 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*c = -543*c + 5566 + 20426 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-54)\/(-5))\/(6 + 1164\/(-195))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 40\/7 (b) -1\/2 (c) 56 (d) 0.161 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 652718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let s(b) = 2*b + 4. Let l(c) = -s(c) + 4*w(c). Let v(m) be the first derivative of -5*m**3\/3 - 1. Calculate l(v(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let j(r) = -r + 1. Let u(t) = -5*t. Let o(f) = -2*j(f) - u(f). Let n be 2*(2 - (-5)\/(-2)). Let z(q) = n*o(q) + 3*y(q). Calculate z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -7*d - z + 3, -26 - 23 = 2*z - 45 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2. Let i(k) be the second derivative of -k**4 - 13*k**3\/6 - 255*k. Let s be i(-1). Let u(t) = -1. What is s*u(b) + v(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/65*(-3)\/(-6)*10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 10558 + 10507 - 21065.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1508.1 + -1469. Let r = 49 + -9. Let g = f - r. Which is the third smallest value? (a) g (b) 3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131120 - 320?\nAnswer: -132100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -114, -0.1554, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/267576 and -49\/16?\nAnswer: 535152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -34*f - 5. Let n(h) = -66*h - 12. Calculate -9*g(b) + 4*n(b).\nAnswer: 42*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -324\/11 or -30?\nAnswer: -324\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - c = 16, 2*j + 5*c = c - 10. Let a = 19 + j. Solve 0 = -p + 5*y - a, 3*y - 8 = -4*p + 5*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = b - 3*j, 0 = 2*b + 3*j + 1299 - 4984. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216 + 216.84. Let i = j + 0.16. Let g be 5 + 0*1\/2. Sort 3\/8, i, g, -0.5 in descending order.\nAnswer: g, i, 3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448 + 448 + 21*z**2 + (21 - 28 - 48)*((0 + 2*z + 0)*(1 - 1 + z) + 7*z**2 - z**2 - 2*z**2) to the form b + s*z**2 + k*z and give s.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -7 + 11) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50034123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.16 (b) -1\/4 (c) 5 (d) -3 (e) -4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.7 - -10. Let b = 2843 - 17051\/6. What is the nearest to -1 in b, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 - (-2)\/5. Let d(v) = 3*v. Let b be (-2)\/((-2)\/3 + 0). Let y be d(b). Solve -y = -k + 3*r, -r - 3 = -s*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -46545.\nAnswer: -10\/9309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*s = -229 - 325, -5*s = 5*q - 530. List the prime factors of q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d*z**4 + 4464220*d*z**3 - 4*d*z**2 - 3*d*z - 305*d + 94*z**2 + z - 4 wrt z?\nAnswer: -264*d*z + 26785320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5821 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53349 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-572)\/143*(-4)\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3)*k**(-3)*k)**(-2\/15) assuming k is positive.\nAnswer: k**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -8\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 499 in -2\/79, -4, -0.7?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 232 = -22. Solve 4*a - 3*s = -7, -6*s + s = 5*a - m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (1 - -7) - (-81 - 0). Let s = y + -77. Let l(t) = 4*t - 10. What is the tens digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21551645 + 0?\nAnswer: -21551645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/15)\/(3*(-4)\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5040 + -5037.99975. Let p = 2 - t. What is p rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/60 - r**3\/2 + 7*r**2\/2 - 6*r. Let j(w) be the first derivative of z(w). What is the first derivative of j(k) wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 730, 1096?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and 206.5.\nAnswer: 206.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84721um in meters?\nAnswer: 0.00000184721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 166 (b) -1.13 (c) -5 (d) -1 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*(-2)\/(-30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8607 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8413223 to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.819413339 to 3 dps.\nAnswer: -0.819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-583)\/(-88) - 7 - (4 + 538\/(-112))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -341, -484, -627?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(192) - sqrt(12)))\/sqrt(3)*-6)\/((sqrt(32) + sqrt(128) + sqrt(64)\/sqrt(2))*-2).\nAnswer: 27*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/5)\/((-1674)\/(-5580)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10072633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.06688.\nAnswer: 2.93312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1195*o + 14. Let j be q(21). Let n = 37902 - j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 4. Let y be t(4). Suppose y = p + 3*h - 2, 1 + 2 = 3*h. Put 0, 2, p in ascending order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732737962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2528, 5052, 7576, 10100, 12624?\n\"Answer: 2524*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-5)\/s))*s)\/s)**(-11)*(s**4)**12 assuming s is positive.\nAnswer: s**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7431087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 1.5, -1\/6?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 9*h + 35\/4.\nAnswer: (h + 1)*(h + 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.2, 1345, 3 in ascending order.\nAnswer: -7, -0.2, 3, 1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + q = 4*q - 6, 2*q + 24 = -4*g. Let z be (4\/(-6) - 2)*g. Solve -2*x = z - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let v(u) = u**3 - g*u + 11 + u + 11*u**2 + 14*u. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and 0.06?\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11786077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(156)*1)\/(((sqrt(12) - 2*(sqrt(24)\/sqrt(2) - sqrt(12))) + sqrt(12))*-6).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/8 - 7*p**3\/3 + 516*p**2 - 3. Give n(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*531.45.\nAnswer: -4251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3311164.\nAnswer: 1\/1655582","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**2 - 4*x + 3. Let w(g) = 4*g - 7. Let d(q) = -q**2 - 11*q + 5. Let a be d(0). Determine a*b(h) - 3*w(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 5) to base 10\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 40*v**2 + 42*v**2 - 201204 + 201204.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 30*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196982?\nAnswer: 2, 98491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 - 6*q - 4. Give z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2931, -10851, -23763, -41667, -64563, -92451, -125331?\n\"Answer: -2496*z**2 - 432*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17916292?\nAnswer: 2, 4479073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106594 + 10158 = 16*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90290913 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/10)\/(-26*(-3)\/9*(-81)\/(-540)).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12)*(-5 - 1). Let i(k) = 4259 - k**v - 4259. Let p(j) be the second derivative of -13*j**3\/6 + 8*j. Calculate i(p(c)).\nAnswer: -169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3486091397085*y - 3486091397085*y + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, -3, 0, -0.003, 2, -4, 5\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-157)\/(-80) - (-2)\/(-5) and ((-116)\/24 - -4) + (-183)\/(-225).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqqqyyqqyqqq. What is prob of picking 3 q and 1 y?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28 = 5*q, 4*q = -2*v - 3*v - 5. Suppose -82 = -2*k + 2*z + v*z, 3*k - 4*z = 109. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let d = 434 - 431. Let k(x) = 4*x + 3. Let q(y) = -4*y - 2. Let g(p) = 2*k(p) + 3*q(p). Determine d*g(f) + 2*r(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 1, o: 1, j: 2}. Give prob of sequence njjg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 - 4*q**3 + 7*q**3)*(0 + 0 + 4*q**2).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 11979*m + 3 - 11969*m + 23991*m.\nAnswer: 43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -8. Suppose -l*w + 4*w + 120 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 - 80 - 112*n**2 - 64 + 2*n in the form k*n + r*n**2 + m and give r.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -61966228.1 rounded to the nearest 1000?\nAnswer: -61966000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -388\/63 - -58\/9. Determine k so that -2\/7*k**2 + z*k - 4\/7*k**3 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 130.2 in ascending order.\nAnswer: -0.4, 1, 130.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**3 + 2*g**2 + 2*g - 2. What are the prime factors of u(-2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d**2 + d. Let i(n) = -n**3 + 8*n**2 + 9*n - 1. Let u be i(9). What is q(u)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from cccxccxcxcxlccxccxxx.\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159632?\nAnswer: 2, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-16) - (-1)\/4. Suppose 178 + 347 = t*m. List the prime factors of (-1)\/(1*(-3)\/m).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 4720\/(-896) + 1\/7 - 7.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 22*l - 49. Let p be t(-13). Suppose -31884 = -p*w + 8043. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*s + 38003 = -16282 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 5*b**2 + 7*b**3 - 11*b**3 + b**2.\nAnswer: -4*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:15 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21035?\nAnswer: 5, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9568 and 50351600.\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -250.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 22. Let k = -8.3 + m. Let z = k + 0.1. Which is the biggest value? (a) -1\/8 (b) 2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30459622.\nAnswer: 2, 19, 801569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4*p**2 - p**2)*(-3580*p - 3488 + 3488 + (-1 + 6 - 2)*(-p - 2 + 2)).\nAnswer: -3583*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6096110?\nAnswer: 2, 5, 43, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 574 = 4*x, -5*f - x + 2889 = -2*x. Suppose 5*g = 6*g - f. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61766351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 0.7, -0.27, -3, 9\/5.\nAnswer: -3, -0.27, 0.3, 0.7, 9\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 127, 562, 1455, 2962, 5239, 8442, 12727?\nAnswer: 18250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.926 - 70. Let k = 0.226 - z. Let y = -0.4 - -0.2. What is the closest to y in -1, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -363, -538, -711, -882, -1051, -1218?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2633.6126 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6849, -27373, -61557, -109383, -170833, -245889, -334533?\n\"Answer: 3*g**3 - 6848*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 186\/25, 0, -1, 1645?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/5*((-40)\/(-8))\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 41 = 29. Suppose -4 = 3*d + 5*c, -5*c = 2*d - 4*d + i. What is the third derivative of 2*k**3 - 8*k**3 + 2*k**3 - 4*k**d wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313225 is divided by 619?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -22, -96, -242, -484, -846, -1352?\nAnswer: -2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -386 - -393. Solve 5*f = -x - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*a**2*i**3*p**2 + 2*a**2*i**3*p - 2*a*i**3*p**2 + 12*a*i**2*p - p**2 wrt a.\nAnswer: -52*i**3*p**2 + 4*i**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26875906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353 - 353 - 44*c.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 41 = -3*p, 4*p + x + 0*x = -23. Let j(c) = 1657144*c + 8. Let g be j(p). Round g to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c7 - -4?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:54 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 2 + 4 - 4*y**3 + 4 - 8 to the form c + s*y**3 + f*y**2 + h*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4408.861 litres?\nAnswer: 4408861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2880) - (sqrt(2880) - (sqrt(2880)*1*4)**2))*-4 + 3)*-6.\nAnswer: 1105902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwqkmmmw. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 + -154. What is the third derivative of -o - 30*u**3 + 10*u**3 - 2 + 1076*u**2 - 1093*u**2 wrt u?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + s - 5)*(-2*s + s + 2*s)*(-5*s**3 + s**2 + s**3 + 0*s**2).\nAnswer: -4*s**5 - 27*s**4 + 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40272 is divided by 36744.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -537e2f (base 16) to base 7\nAnswer: -64336513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 554685444 and 0?\nAnswer: 554685444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m + 112. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6*n = -20. Let i(a) = 2*a**2 + 3*a - 2. Let q(w) = -w**2 - 2*w + 2. What is n*i(p) - 3*q(p)?\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 1 + 1 + (-4*g + 2*g + 3*g)*(7 + 6 - 4) - 3*g + 5*g + 2*g)*(-4 + 3 + 3).\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27809 divided by -10719?\nAnswer: 27809\/10719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06494 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 281 = 4*i, 28 - 602 = -2*l + 5*i. What is the common denominator of 3 - (l\/186 + 1) and 24\/5?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, -4, -9, -22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 92342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -27*r. Give w(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 644 - 229. Let n = s - 61. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 times 228?\nAnswer: -330144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 2. Let z(g) = -g**2 + 3*g - 1. Let n(c) = 18*c - 6. Let j(d) = q*z(d) + n(d). Let h(k) = -10*k**2. What is j(h(v))?\nAnswer: 600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173643.319887 - 173643. Let t = r - 0.32. Round t to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (276\/3450 - (-62)\/(-150))\/(((-52)\/(-273))\/2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -9*r + 10*r. Suppose -r*p = -5*i + 24 - 4, -4 = -3*i - p. Suppose 82 + 32 = i*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/4 + 1685*d**3\/2 - 2578*d. Find b such that a(b) = 0.\nAnswer: -1685, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/40)\/((2793\/(-76))\/(-49))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) 0.9 (c) 454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*q - q - 24, 10 = 2*q + 5*f. Let p = 47 - 56. Let l be (p\/6)\/(q\/4). What is the third smallest value in l, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.011 - 35.011. Let w = 1.169 + -0.169. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7596.921nm?\nAnswer: 0.0007596921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138209, 138196, 138173, 138140, 138097?\nAnswer: 138044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/507705 and 127\/5440.\nAnswer: 32493120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*w - 12 = 0, -3 - 1 = -5*c + 2*w. Let h = -115 + 220. Suppose c*n = -n + h. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n - 650 = -48*n + 115*n. Let q be (-1 + 8)*(-3 + 2). Which is greater: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 7, p: 6}. What is prob of sequence pa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4184 + -106)\/195*1\/14.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:05 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2 + 14. Let i be (-8)\/f*33\/(-22). Solve -i*b + 2 = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 29 = -10*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a. Let g = a + 2. Solve -4 = -3*j + g*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/150)\/(((-8)\/(-10))\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + 2*b + 1. Let q = -10 + 12. Let f(v) = 3*v**3 - 5*v**2 + v + 12*v**q - 7*v - 3. Determine 2*f(l) + 7*p(l).\nAnswer: -l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -243666 (base 7) in base 4?\nAnswer: -22320231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2. Let w(f) = 16*f. Let o(s) = -15*s. Let n(d) = 3*o(d) + 2*w(d). What is k(n(h))?\nAnswer: -507*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, x: 2}. Give prob of sequence xrrx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:20 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396) + -4 + sqrt(396)) - ((-2*sqrt(132))\/sqrt(12) - (sqrt(121)\/(sqrt(176) + sqrt(11)) - sqrt(11))).\nAnswer: -12 + 186*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1657*x + 493797. Determine v(298).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/2? (a) 38 (b) 0.5 (c) 3 (d) -1\/3 (e) -0.12 (f) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36716 - 35452. What is the third biggest value in u, 3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.16, 1\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/824024 and 51\/1022.\nAnswer: 5768168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**2 + 6452*b - 51360 = 0.\nAnswer: 8, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424633573.\nAnswer: 7, 59, 1237, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 4. Suppose 0 = 5*b + 8 + 7. What is the tens digit of z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8329.\nAnswer: 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 + 23 = 0. Find m, given that -7*m**3 - 6*m - b*m**2 + 14*m**3 - 4*m**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c + 62*c**2 + c + 61*c**2 + 29 + 2*c + 2*c wrt c.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-1188)\/72*2\/(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81787 - 81787 - 599*u as m*u + o and give m.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49041460 to the power of 1\/2, to the nearest integer?\nAnswer: 7003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.751 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238856 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*5\/(-15) + (17 - 4). Suppose c*g = 115 + 185. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -64. Suppose o + 0*o + 2*o = c. Suppose o = 3*m - 4*z + 46496, -3*z + 8856 = -2*m - 22141. What is m rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a - 2. Let l be g(5). Suppose 0 = -5*y + l*i - 18 + 132, -10 = -5*i. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 - z**2)*((-1 - 5 + 5)*(-3*z + 3*z - 3*z**3) + 0*z**3 + 4*z**3 - z**3).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h + 3. Let c be y(1). What is the nearest to c in -5, -2\/11, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2. Let m(d) be the third derivative of -11*d**4\/24 - 597*d**2. Calculate p(m(h)).\nAnswer: 847*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.1 (b) -1 (c) -0.11 (d) -3\/4 (e) 1\/5 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (532\/(-817))\/(42\/(-903)). Suppose 1\/7*k**2 + 343 + r*k = 0. What is k?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/194 and 53\/4?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o - 10*o + 7*o + (0*o + 2*o + o)*(-5 + 2 + 4) + (-1 + 1 + 3)*(-1 - o + 1).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12224.781 * -2.2.\nAnswer: 26894.5182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1087, -1324, -1119, -250, 1505?\nAnswer: 4368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (245\/(-84) - 1\/(-6))\/(1\/(-12)). Solve -5*i + r = 4*z, -27 - 8 = -5*i - 5*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10230740*w. Let h(y) = 11*y**2. What is h(a(q))?\nAnswer: 1151348450423600*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**2 + 35*c**2 + 5*c**2 + 7*c**2 + 3*c**2.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.1, 6 in ascending order.\nAnswer: -0.1, 1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 = 18*m + 1323 - 24621. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -497.889*-0.4\nAnswer: 199.1556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1493038*o**3 + 17*o**2 - 17*o + 195 wrt o?\nAnswer: -8958228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -18. Find the third derivative of 3*q**2 + 2*q**2 + 0*q**2 + 5*q**2 + 6*q**p wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from qllqvvovolllllo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 462655465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -329 - -319. Let s be q\/6*(-1)\/(3\/9). Solve -4*f + s = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 + 0*b**2 + 3*b**2 + 4*b - b**2 - 4*b - b**2 + 0 + 0 + (2 + 1 - 2)*(3*b**2 + 2*b**2 - 3*b**2) - 2*b**2 - b**2 + 5*b**2 - 4*b - 2*b**2 + 4*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 492, 1936, 4762, 9432, 16408, 26152, 39126?\nAnswer: 55792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55902 and 65233641.\nAnswer: 913270974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.14549044 from -0.1.\nAnswer: 0.04549044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f - 3*z, 0 = -f - 2*z + 4*z - 2. Let j be (0 - 3)\/((-3)\/2). What is the first derivative of 2*i**f - 4 + 5 - 4 - i**j wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7060*n + 473256. Give q(-67).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62.84 + -63. Let o = 0.04 - t. Suppose 12 = -0*d + 3*d. What is the second smallest value in d, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssssssggsg. What is prob of sequence ggs?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*(-3)\/2. Suppose g = -0*g + 4. Find the third derivative of -j**2 + t - j**4 - g wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) -48 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 810 - 510. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.17 - 1.84. Let a = 1.4724 - 0.1493. Let u = a - b. What is u rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6*l + 5*l + 5 = 0, 35 = 2*b - 5*l. Let c = b + -17. Is (137\/(-2))\/(3\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*d = 4*d - 5, -4*g = 2*d - 70. Suppose g = f + 2*f. Solve -f*m = 8 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmd when four letters picked without replacement from mdiiiidimddimi?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and 18099360786.8?\nAnswer: 18099360814.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -76*t. Let d(w) = 15*w. Determine u(d(z)).\nAnswer: -1140*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894448.\nAnswer: 2, 55903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}